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8002 II- Mathematical Foundations of Risk(R) Measurement

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8002 exam Dumps Source : II- Mathematical Foundations of Risk(R) Measurement

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UNCF proclaims Third type of UNCF® STEM scholars through $forty eight Million funding From Fund II basis | killexams.com Real Questions and Pass4sure dumps

WASHINGTON, July 12, 2018 /PRNewswire-PRWeb/ -- these days, UNCF announced its third cohort of Fund II groundwork UNCF STEM scholars (STEM students). The one hundred excessive-performing African American high school seniors, selected from across the nation, will each acquire a total award kit of as much as $25,000 that includes scholarships and a stipend for STEM internships over five years. This award is made viable through provide aid from Fund II foundation that totals about $48 million. The program will also give crucial wrap-around aid to college students all over their undergraduate experience. The award will enable the students to pursue a bachelor's diploma in science, know-how, engineering and mathematics (STEM) fields on the school or institution of their determining whereas learning about innovation and startup tech entrepreneurship.

"UNCF is ecstatic on the exceptional and high caliber third Fund II - UNCF STEM students cohort," said Dr. Michael L. Lomax, UNCF president and CEO. "With a regular GPA of 3.eight, these students exemplify tutorial persistence and keenness of their pursuit of excellence at the maximum degree. UNCF and Fund II groundwork are excited to look the big influence they will have on their respective communities and industries in the future."

The third type of STEM students will meet for a leadership and application orientation July 12-15 in Washington, DC, where they're going to meet one a further, map out educational and profession desires, and listen to from African American experts in the STEM fields. Fund II groundwork government director Linda Wilson will additionally welcome the students at the orientation. at the second experience ultimate year, Wilson observed, "We at Fund II foundation are heartened with the aid of the UNCF awardees. Their capabilities and relentless pursuit of excellence make certain that our nation will thrive as STEM innovators and leaders from distinctive communities radically change the financial panorama. We can't wait to peer what they do to enhance all features of our world."

This yr's cohort represents 26 states. The students will attend fifty three distinct elite colleges and universities, together with 9 scholars who will attend five Ivy League institutions. Thirty-six scholars will attend 12 traditionally black schools and universities (HBCUs), compared with 18 Cohort Two STEM students attending 10 HBCUs. Of these, seven are UNCF-supported HBCUs: Claflin college, Clark Atlanta institution, Fisk university, Morehouse school, Spelman faculty, Oakwood institution and Xavier college of Louisiana.

"This scholarship is critical for me to achieve my dreams," mentioned Marcus Shallow, an Elton, LA native. "The monetary award plus wrap-around and internship support functions will permit me to focal point on my teachers at Yale university and subsequently my profession aspirations of becoming an oncologist."

Fund II and UNCF were concentrated on variety and inclusion efforts, respectively and, in specific, in the utility business. With African americans making up lower than 5 percent of the science and engineering group of workers, and less than 1 % of all tech startups, Fund II basis and UNCF joined collectively in 2015 to address this problem. The Fund II basis UNCF STEM scholars software will create a robust pipeline of African American college students smartly prepared to have careers within the tech trade and to turn into the next technology of innovators and entrepreneurs.

"The Fund II - UNCF STEM students Scholarship will connect me to a whole lot of like-minded and high-attaining STEM focused African American students," said Amina Johnson of Cheltenham, PA. "The vigor of this scholarship is the community besides the $25,000 in funding i will acquire. i'm so excited to take the first steps in fitting a lab researcher when I begin school this fall at Spelman school."

functions opened in October 2017 and closed in March, with just about 3,500 students making use of for the coveted awards, an increase of nearly 1,000 applicants than remaining 12 months. The third class of a hundred STEM scholars comprises 50 guys and 50 women with a standard grade-aspect common (GPA) of 3.eighty five.

The STEM scholars software will additionally expose students to the principles of startup tech entrepreneurship and present them a unique probability to pursue their personal entrepreneurial ventures upon commencement. scholars will get hold of $2,500 per educational year as rookies and sophomores, $5,000 a 12 months as juniors and seniors, an further $5,000 for college students whose educational classes require a fifth yr, and a $5,000 stipend based on a STEM-related mission/internship of the student's hobby.

"It has basically been an honor to give you the option to assessment so many outstanding purposes for the choice of the 2017 STEM scholars," mentioned UNCF STEM Director Dr. Chad Womack. "while we have been lucky to obtain lots of qualified applicants, the selected students are among the many brightest, most academically talented and talented minds in science, expertise, engineering and math and symbolize the next technology of STEM innovators and entrepreneurs. UNCF extends congratulations to these scholars and their households and we appear forward to supporting them as they obtain their faculty and career aspirations."

"This scholarship will allow me to be capable of finance my faculty education. it is going to help me pursue a degree in biology by way of giving me the equipment and opportunities to be trained from different STEM scholars. becoming a STEM pupil gives me the network to satisfy others inside the STEM field, especially biology, who could be lifelong mentors that i may be in a position to be taught from and will aid me reach my aim of fitting an OB/GYN," referred to Josyln Smith of Mullins, SC, who will major in science at Spelman school q4.

UNCF yearly awards more than $one hundred million by way of 10,000 scholarships each and every year. Of the four hundred scholarship, internship and fellowship courses UNCF annually offers, 12 percent are STEM-linked. The $48 million furnish by way of Fund II foundation marks the biggest donation in UNCF's seventy three-yr history granted by using an African American-led basis.

For more information, please talk over with: http://www.uncf.org/stemscholars

About Fund II FoundationFund II basis is a charitable groundwork, at the coronary heart of which is a deep dedication to improve social exchange, create opportunity, appreciate and offer protection to the ambiance, and keep our culture. Fund II groundwork is focused on enhancing lives and alternatives for African-American and other susceptible populations. Fund II basis makes supplies to 501(c)(3) public charities in 5 areas: 1) upkeep of the African-American adventure; 2) safeguarding human dignity with the aid of giving a voice to the unvoiced and promoting human rights; three) improving environmental conservation and providing out of doors schooling that allows individuals of all a while and backgrounds to enjoy the numerous advantages of the superb outside; 4) facilitating tune training, specifically in fundamental and secondary colleges, to nourish each the mind and the soul; and 5) sustaining the uniquely American values of entrepreneurship, empowerment, innovation and safety. For extra suggestions on Fund II basis, visit http://www.fund2foundation.org.

About UNCFUNCF (United Negro faculty Fund) is the nation's biggest and most useful minority education organization. To serve formative years, the neighborhood and the nation, UNCF helps students' schooling and building via scholarships and different courses, strengthens its 37 member schools and universities, and advocates for the value of minority training and school readiness. UNCF associations and other historically black colleges and universities are enormously advantageous, awarding virtually 20 percent of African American baccalaureate degrees. UNCF awards greater than $a hundred million in scholarships yearly and administers greater than 400 classes, including scholarship, internship and fellowship, mentoring, summer enrichment, and curriculum and college building courses. these days, UNCF supports more than 60,000 college students at over 1,100 faculties and universities. Its logo facets the UNCF torch of leadership in training and its widely recognized trademark, "A intellect is a terrible thing to waste"�. gain knowledge of more at UNCF.org. For continuous news and updates, follow UNCF on Twitter, at @UNCF and #Fund2UNCFSTEMScholar.

supply United Negro college Fund, Inc.

Copyright 2014 PR Newswire. All Rights Reserved


A community strategy to subject matter models | killexams.com Real Questions and Pass4sure dumps

community detection for theme modeling

here, we expose the connection between subject matter modeling and group detection, as illustrated in Fig. 2. We first revisit how a Bayesian system of pLSI assuming Dirichlet priors ends up in LDA and the way we are able to reinterpret the former as a combined membership SBM. We then use the latter to derive a extra principled method to subject matter modeling the usage of nonparametric and hierarchical priors.

Fig. 2 Parallelism between topic fashions and group detection strategies.

The pLSI and SBMs are mathematically equal, and therefore, strategies from community detection (as an instance, the hSBM we propose during this examine) will also be used as options to typical subject models (for instance, LDA).

theme fashions: pLSI and LDA. pLSI is a model that generates a corpus composed of D documents, where each doc d has kd phrases (4). phrases are placed in the documents in line with the subject matter combinations assigned to both doc and words, from a total of k themes. greater especially, one iterates through all D documents; for each and every document d, one samples kd ~ Poi(ηd), and for each and every be aware token l ϵ 1, kd, first, an issue r is chosen with chance θdr, and then, a observe w is chosen from that subject with chance ϕrw. If Embedded Image

Embedded Image

is the number of occurrences of notice w of topic r in document d (summarized as n), then the likelihood of a corpus isEmbedded Image

Embedded Image

(1)We denote matrices via boldface symbols, for example, θ = θdr with d = 1,…, D and r = 1,…, k, where θdr is a person entry; for that reason, the notation θd refers back to the vector θdr with fastened d and r = 1,…, k.

For an unknown text, we could with ease maximize Eq. 1 to achieve the most beneficial parameters η, θ, and ϕ, which describe the topical constitution of the corpus. however, we can't directly use this approach to model textual statistics with out a significant danger of overfitting. The mannequin has a huge number of parameters that grows because the variety of documents, phrases, and themes is increased, and therefore, a optimum probability estimate will constantly contain a considerable quantity of noise. One solution to this problem is to use a Bayesian system with the aid of proposing prior distributions to the parameters and integrating over them. this is precisely what's carried out in LDA (5, 6), the place one chooses Dirichlet priors Dd(θd|αd) and Dr(ϕr|βr) with hyperparameters α and β for the possibilities θ and ϕ above and one makes use of instead the marginal probability.Embedded Image

Embedded Image

(2)

If one makes a noninformative choice, it truly is, αdr = 1 and βrw = 1, then inference using Eq. 2 is nonparametric and less liable to overfitting. In particular, you will gain the labeling of observe tokens into topics, Embedded Image

Embedded Image

, conditioned simplest on the followed complete frequencies of phrases in documents, Embedded Image

Embedded Image

, besides the variety of issues okay itself, conveniently through maximizing or sampling from the posterior distribution. The weakness of this method lies within the undeniable fact that the Dirichlet prior is a simplistic assumption about the facts-producing procedure: In its noninformative kind, each mixture within the mannequin—each of subject matters in each and every doc as well as phrases into themes—is believed to be equally likely, precluding the existence of any kind of higher-order constitution. This hindrance has caused the common apply of inferring using LDA in a parametric method by way of maximizing the likelihood with recognize to the hyperparameters α and β, that can improve the exceptional of fit in many cases. however not best does this undermine to a huge extent the initial aim of a Bayesian method—because the variety of hyperparameters nonetheless increases with the number of files, words, and subject matters, and therefore maximizing over them reintroduces the danger of overfitting—however it also doesn't sufficiently handle the long-established limitation of the Dirichlet prior. namely, regardless of the hyperparameter choice, the Dirichlet distribution is unimodal, which means that it generates mixtures which are both targeted around the mean cost or unfold away uniformly from it towards pure add-ons. This means that for any choice of α and β, the whole corpus is characterised by a single commonplace combo of themes into documents and a single normal combo of words into subject matters. here's an extreme stage of assumed homogeneity, which stands in contradiction to a clustering approach at first designed to trap heterogeneity.

moreover the above, the use of nonparametric Dirichlet priors is inconsistent with commonplace established statistical houses of real texts, most particularly, the extremely skewed distribution of word frequencies, which typically follows Zipf’s legislation (15). In distinction, the noninformative choice of the Dirichlet distribution with hyperparameters βrw = 1 quantities to an expected uniform frequency of words in themes and files. however deciding on applicable values of βrw can handle this disagreement, such an approach, as already outlined, runs contrary to nonparametric inference and is field to overfitting. In right here, we are able to demonstrate find out how to recast the equal common pLSI model as a community mannequin that completely removes the barriers described above and is capable of uncovering heterogeneity within the data at numerous scales.

subject matter fashions and group detection: Equivalence between pLSI and SBM. We demonstrate that pLSI is akin to a particular type of a mixed-membership SBM, as proposed by way of Ball et al. (33). The SBM is a model that generates a network composed of i = 1,…, N nodes with adjacency matrix Aij, which we will anticipate without loss of generality to correspond to a multigraph, that's, Aij ϵ ℕ. The nodes are placed in a partition composed of B overlapping businesses, and the sides between nodes i and j are sampled from a Poisson distribution with commonplaceEmbedded Image

Embedded Image

(three)the place ωrs is the anticipated number of edges between group r and neighborhood s, and κir is the chance that node i is sampled from group r. we are able to write the likelihood of looking at Embedded Image

Embedded Image

, this is, a selected decomposition of Aij into labeled half-edges (it truly is, side conclusion aspects) such that Embedded Image

Embedded Image

, asEmbedded Image

Embedded Image

(4)by way of exploiting the fact that the sum of Poisson variables is additionally distributed in accordance with a Poisson.

we can now make the connection to pLSI by rewriting the token percentages in Eq. 1 in a symmetric vogue asEmbedded Image

Embedded Image

(5)the place Embedded Image

Embedded Image

is the likelihood that the notice w belongs to subject matter r, and ηw≡∑sϕsw is the general propensity with which the observe w is chosen throughout all subject matters. during this method, we are able to rewrite the likelihood of Eq. 1 asEmbedded Image

Embedded Image

(6)with Embedded Image

Embedded Image

. If we decide to view the counts ndw because the entries of the adjacency matrix of a bipartite multigraph with files and phrases as nodes, the probability of Eq. 6 is such as the probability of Eq. 4 of the SBM if we anticipate that each and every document belongs to its personal specific group, κir = δir, with i = 1,…, D for document nodes, and by means of rewriting Embedded Image

Embedded Image

. for this reason, the SBM of Eq. 4 is a generalization of pLSI that permits the words and the files to be clustered into groups and includes it as a special case when the documents are not clustered.

within the symmetric environment of the SBM, we make no specific distinction between words and documents, each of which turn into nodes in different partitions of a bipartite community. We base our Bayesian formula that follows on this symmetric parametrization.

group detection and the hSBM. Taking competencies of the above connection between pLSI and SBM, we exhibit how we will extend the idea of hSBMs developed in (40–42) such that we can without problems use them for the inference of topical structure in texts. Like pLSI, the SBM probability of Eq. four incorporates a big number of parameters that develop with the number of corporations and for this reason can not be used effectively without knowing the most appropriate dimension of the mannequin until now. Analogously to what is performed in LDA, we are able to address this with the aid of assuming noninformative priors for the parameters κ and ω and computing the marginal probability (for an explicit expression, see area S1.1)Embedded Image

Embedded Image

(7)where Embedded Image

Embedded Image

is a global parameter making a choice on the normal density of the community. we can use this to infer the labeled adjacency matrix Embedded Image

Embedded Image

, as carried out in LDA, with the change that not best the words but additionally the files can be clustered into combined classes.

besides the fact that children, at this stage, the mannequin still shares some dangers with LDA. In certain, the noninformative priors make unrealistic assumptions concerning the records, the place the combo between groups and the distribution of nodes into businesses is anticipated to be unstructured. amongst different problems, this ends up in a realistic obstacle, as this approach has a “decision limit” where, at most, Embedded Image

Embedded Image

groups will also be inferred on a sparse community with N nodes (forty two, 43). In right here, we suggest a qualitatively distinctive strategy to the alternative of priors with the aid of changing the noninformative strategy with deeper Bayesian hierarchy of priors and hyperpriors, which are agnostic in regards to the greater-order residences of the records while protecting the nonparametric nature of the approach. We begin through reformulating the above mannequin as an equal microcanonical mannequin (for a proof, see area S1.2) (42) such that we can write the marginal probability because the joint probability of the information and its discrete parametersEmbedded Image

Embedded Image

(eight)withEmbedded Image

Embedded Image

(9)Embedded Image

Embedded Image

(10)Embedded Image

Embedded Image

(11)where Embedded Image

Embedded Image

is the total variety of edges between businesses r and s (we used the shorthand er = ∑sers and Embedded Image

Embedded Image

), Embedded Image

Embedded Image

is the chance of a labeled graph A the place the labeled degrees ok and part counts between businesses e are confined to selected values (and not their expectation values), P(okay|e) is the uniform prior distribution of the labeled degrees confined through the part counts e, and Embedded Image

Embedded Image

is the prior distribution of side counts, given via a combination of unbiased geometric distributions with ordinary Embedded Image

Embedded Image

.

The main advantage of this choice mannequin components is that it enables us to eliminate the homogeneous assumptions by way of changing the uniform priors P(ok|e) and Embedded Image

Embedded Image

by way of a hierarchy of priors and hyperpriors that incorporate the opportunity of larger-order constructions. We could obtain this in a tractable manner devoid of the want of solving complicated integrals that could be required if introducing deeper Bayesian hierarchies in Eq. 7 without delay.

In a primary step, we observe the strategy of (forty one) and circumstance the labeled degrees okay on an overlapping partition b = bir, given viaEmbedded Image

Embedded Image

(12)such that they're sampled through a distributionEmbedded Image

Embedded Image

(13)

The labeled degree sequence is sampled conditioned on the frequency of levels Embedded Image

Embedded Image

inside each combination b, which itself is sampled from its personal noninformative priorEmbedded Image

Embedded Image

(14)where eb is the number of incident edges in each blend (for certain expressions, see section S1.3).

because of the incontrovertible fact that the frequencies of the mixtures and those of the labeled levels are treated as latent variables, this mannequin admits that community combinations are much more heterogeneous than the Dirichlet prior used in LDA. In particular, as was proven in (42), the expected degrees generated during this manner observe a Bose-Einstein distribution, which is a great deal broader than the exponential distribution got with the prior of Eq. 10. The asymptotic variety of the degree chance will strategy the true distribution as the prior washes out (forty two), making it greater proper for skewed empirical frequencies, equivalent to Zipf’s law or combinations thereof (forty four), without requiring selected parameters—comparable to exponents—to be determined a priori.

In a 2d step, we observe (forty, forty two) and model the prior for the facet counts e between agencies through deciphering it as an adjacency matrix itself, this is, a multigraph the place the B corporations are the nodes. We then proceed by way of generating it from yet another SBM, which, in flip, has its own partition into groups and matrix of area counts. carrying on with in the same manner yields a hierarchy of nested SBMs, where each and every level l = 1,…, L clusters the companies of the stages beneath. This yields a probability [see (42)] given with the aid ofEmbedded Image

Embedded Image

(15)withEmbedded Image

Embedded Image

(16)Embedded Image

Embedded Image

(17)the place the index l refers back to the variable of the SBM at a selected level; as an example, Embedded Image

Embedded Image

is the number of nodes in group r at degree l.

the use of this hierarchical prior is a strong departure from the noninformative assumption regarded up to now while containing it as a special case when the depth of the hierarchy is L = 1. It potential that we predict some type of heterogeneity in the statistics at dissimilar scales, where groups of nodes are themselves grouped in larger organizations, forming a hierarchy. Crucially, this removes the “unimodality” inherent within the LDA assumption, because the group combinations are now modeled via a further generative level, which admits as much heterogeneity because the long-established one. in addition, it may also be proven to significantly alleviate the decision restrict of the noninformative approach, considering it permits the detection of at most O(N/logN) agencies in a sparse network with N nodes (forty, forty two).

Given the above model, we are able to discover the surest overlapping partitions of the nodes through maximizing the posterior distributionEmbedded Image

Embedded Image

(18)withEmbedded Image

Embedded Image

(19)which may also be correctly inferred the use of Markov Chain Monte Carlo, as described in (forty one, forty two). The nonparametric nature of the mannequin makes it viable to infer (i) the depth of the hierarchy (containing the “flat” model in case the records do not aid a hierarchical constitution) and (ii) the number of businesses for both documents and phrases directly from the posterior distribution, with out the need for extrinsic strategies or supervised procedures to steer clear of overfitting. we are able to see the latter deciphering Eq. 19 as a description length (see dialogue after Eq. 22).

The model above generates arbitrary multigraphs, whereas textual content is represented as a bipartite network of phrases and files. in view that the latter is a unique case of the former, the place phrases and files belong to distinctive groups, we are able to use the model as it is, because it will “gain knowledge of” the bipartite constitution all over inference. although, a more constant strategy for textual content is to consist of this suggestions within the prior, considering that we don't have to infer what we already understand. we are able to operate this by the use of a simple modification of the mannequin, where one replaces the prior for the overlapping partition acting in Eq. 13 with the aid ofEmbedded Image

Embedded Image

(20)the place Pw(bw) and Pd(bd) now correspond to a disjoint overlapping partition of the phrases and documents, respectively. Likewise, the equal must be carried out at the upper degrees of the hierarchy by replacing Eq. 17 withEmbedded Image

Embedded Image

(21)during this method, by building, words and documents will on no account be positioned collectively within the equal neighborhood. evaluating LDA and hSBM in actual and artificial statistics

here, we exhibit that the theoretical concerns mentioned in the previous section are crucial in follow. We exhibit that hSBM constitutes a far better model than LDA in three courses of complications. First, we assemble essential examples that display that LDA fails in instances of non-Dirichlet subject mixtures, whereas hSBM is in a position to infer each Dirichlet and non-Dirichlet combos. 2d, we demonstrate that hSBM outperforms LDA even in artificial corpora drawn from the generative method of LDA. Third, we agree with 5 distinct precise corpora. We operate statistical model option in response to the precept of minimum description length (forty five) and computing the description size ∑ (the smaller the more advantageous) of every mannequin (for details, see “minimum description size” section in materials and techniques).

Failure of LDA in the case of non-Dirichlet mixtures. The alternative of the Dirichlet distribution as a previous for the subject matter combinations θd implies that the ensemble of subject matter combos P(θd) is thought to be either unimodal or targeted on the edges of the simplex. this is an undesired feature of this prior as a result of there is not any reason why records may still reveal these traits. To discover how this affects the inference of LDA, we construct a group of fundamental examples with ok = three topics, which permit for handy visualization. anyway precise facts, we consider artificial data constructed from the generative technique of LDA [in which case P(θd) follows a Dirichlet distribution] and from cases by which the Dirichlet assumption is violated [for example, by superimposing two Dirichlet mixtures, resulting in a bimodal instead of a unimodal P(θd)].

The effects summarized in Fig. three demonstrate that SBM results in enhanced results than LDA. In Dirichlet-generated data (Fig. 3A), LDA self-invariably identifies the distribution of mixtures as it should be. The SBM is additionally able to accurately identify the Dirichlet mixture, although we didn't explicitly specify Dirichlet priors. within the non-Dirichlet artificial data (Fig. 3B), the SBM effects once again closely healthy the real topic combinations, however LDA fully fails. however the inferred effect by using LDA not resembles the Dirichlet distribution after being influenced with the aid of records, it's greatly distorted by way of the unsuitable prior assumptions. Turning to true information (Fig. 3C), the LDA and SBM yield very distinct consequences. whereas the “true” underlying theme combination of every doc is unknown in this case, we are able to establish the terrible final result of the Dirichlet priors from the fact that the outcomes from LDA are once again comparable to the ones anticipated from a Dirichlet distribution (hence, seemingly an artifact), whereas the SBM effects imply a a whole lot richer pattern.

Fig. three LDA is unable to infer non-Dirichlet subject combos.

Visualization of the distribution of theme combos logP(θd) for distinct artificial and precise facts sets within the two-simplex using k = three themes. We show the proper distribution within the case of the artificial data (true) and the distributions inferred through LDA (middle) and SBM (bottom). (A) synthetic information units with Dirichlet combinations from the generative procedure of LDA with doc hyperparameters αd = 0.01 × (1/three, 1/three, 1/three) (left) and αd = a hundred × (1/three, 1/three, 1/3) (right) leading to diverse authentic combination distributions logP(θd). We repair the notice hyperparameter βrw = 0.01, D = a thousand files, V = a hundred diverse phrases, and textual content length kd = one thousand. (B) artificial statistics sets with non-Dirichlet mixtures from a mixture of two Dirichlet mixtures, respectively: αd ϵ one hundred × (1/3, 1/3, 1/3), one hundred × (0.1, 0.eight, 0.1) (left) and αd ϵ 100 × (0.1, 0.2, 0.7), one hundred × (0.1, 0.7, 0.2) (appropriate). (C) real information units with unknown theme mixtures: Reuters (left) and web of Science (correct) each containing D = 1000 documents. For LDA, we use hyperparameter optimization. For SBM, we use an overlapping, non-nested parametrization wherein each and every document belongs to its own neighborhood such that B = D + k, permitting for an unambiguous interpretation of the group membership as subject matter mixtures within the framework of subject fashions.

together, the consequences of this fundamental illustration visually demonstrate that LDA no longer handiest struggles to deduce non-Dirichlet mixtures however additionally shows strong biases within the inference towards Dirichlet-type combos. then again, SBM is capable of catch a plenty richer spectrum of subject combinations as a result of its nonparametric system. this is an instantaneous final result of the option of priors: while LDA assumes a priori that the ensemble of subject combinations, P(θd), follows a Dirichlet distribution, SBM is extra agnostic with appreciate to the category of combinations whereas preserving its nonparametric system.

artificial corpora sampled from LDA. We trust synthetic corpora developed from the generative technique of LDA, incorporating some features of actual texts (for particulars, see “artificial corpora” section in materials and strategies and part S2.1). youngsters LDA isn't an excellent mannequin for real corpora (because the Dirichlet assumption isn't simple), it serves for example that even in a condition that favors LDA, the hSBM frequently provides a stronger description of the records.

From the generative procedure, we know the real latent variable of each and every note token. therefore, we're able to achieve the inferred topical structure from every method through without difficulty assigning the actual labels without the usage of approximate numerical optimization strategies for the inference. This makes it possible for us to separate intrinsic residences of the model itself from exterior houses related to the numerical implementation.

To permit for a good evaluation between hSBM and LDA, we believe two distinctive choices within the inference of every formula, respectively. LDA requires the specification of a collection of hyperparameters α and β used in the inference. whereas, during this certain case, we be aware of the actual hyperparameters that generated the corpus, in commonplace, these are unknown. for this reason, besides the true values, we additionally consider a noninformative choice, it's, αdr = 1 and βrd = 1. For the inference with hSBM, we simplest use the particular case where the hierarchy has a single stage such that the prior is noninformative. We believe two distinctive parametrizations of the SBM: (i) each doc is assigned to its own community, that's, they don't seem to be clustered, and (ii) different files can belong to the identical group, it truly is, they are clustered. while the previous is influenced by means of the normal correspondence between pLSI and SBM, the latter indicates the further abilities provided by the chance of clustering documents because of its symmetric medicine of words and files in a bipartite community (for details, see part S2.2).

In Fig. 4A, we demonstrate that hSBM is perpetually greater than LDA for synthetic corpora of nearly any text length kd = m ranging over 4 orders of magnitude. These effects cling for asymptotically tremendous corpora (when it comes to the variety of files), as proven in Fig. 4B, the place we take a look at that the normalized description length of each model converges to a set cost when expanding the size of the corpus. We verify that these consequences grasp throughout a wide range of parameter settings various the number of issues, as smartly as the values and base measures of the hyperparameters (part S3 and figs. S1 to S3).

Fig. 4 comparison between LDA and SBM for synthetic corpora drawn from LDA.

Description length Σ of LDA and hSBM for an artificial corpus drawn from the generative technique of LDA with okay = 10 topics. (A) difference in Σ, ΔΣ = Σi − ΣLDA−trueprior, compared to the LDA with genuine priors—the model that generated the facts—as a feature of the textual content size kd = m and D = 106 files. (B) Normalized Σ (per be aware) as a function of the number of files D for mounted textual content length kd = m = 128. The four curves correspond to different choices in the parametrization of the theme models: (i) LDA with noninformative (noninf) priors (gentle blue, ×), (ii) LDA with actual priors, it truly is, the hyperparameters used to generate the synthetic corpus (darkish blue, •), (iii) hSBM with devoid of clustering of files (light orange, ▲), and (iv) hSBM with clustering of documents (darkish orange, ▼).

The LDA description length ΣLDA does not rely strongly on the regarded prior (authentic or noninformative) because the size of the corpora increases (Fig. 4B). here's in keeping with the common expectation that within the limit of gigantic data, the prior washes out. despite the fact, notice that for smaller corpora, the Σ of the noninformative prior is significantly worse than the Σ of the proper prior.

In distinction, the hSBM gives a whole lot shorter description lengths than LDA for the same records when permitting files to be clustered as smartly. The handiest exception is for terribly small texts (m < 10 tokens), where we haven't converged to the asymptotic limit within the per-be aware description size. within the restrict D → ∞, we are expecting hSBM to deliver a in a similar fashion good or greater model than LDA for all text lengths. The growth of the hSBM over LDA in a LDA-generated corpus is counterintuitive as a result of, for adequate records, we expect the genuine model to provide a higher description for it. besides the fact that children, for a mannequin such as LDA, the restrict of enough records contains the simultaneous scaling of the variety of documents, words, and issues to very high values. In selected, the generative method of LDA requires a large number of documents to resolve the underlying Dirichlet distribution of the subject matter-doc distribution and a big number of issues to get to the bottom of the underlying note-topic distribution. whereas the previous is realized becoming the corpus via adding documents, the latter point is nontrivial because the observed measurement of the vocabulary V isn't a free parameter but depends upon the notice-frequency distribution and the size of the corpus in the course of the so-referred to as heaps’ legislations (14). This means that, as we grow the corpus through including more and more files, firstly, the vocabulary increases linearly and most effective at very big corpora does it settle into an asymptotic sublinear increase (area S4 and fig. S4). This, in turn, requires an ever higher variety of subject matters to resolve the underlying notice-subject matter distribution. This tremendous variety of themes is not possible in follow since it renders the whole purpose and idea of subject fashions obsolete, compressing the guidance by using acquiring a superb, coarse-grained description of the corpus at a manageable number of issues.

In abstract, the limits in which LDA gives an improved description, it's, either extraordinarily small texts or very giant number of subject matters, are inappropriate in observe. The accompanied barriers of LDA are because of here reasons: (i) The finite number of topics used to generate the facts always leads to an undersampling of the Dirichlet distributions, and (ii) LDA is redundant within the means it describes the facts in this sparse regime. In contrast, the assumptions of the hSBM are improved suited for this sparse regime and hence cause a extra compact description of the statistics, youngsters that the corpora were generated via LDA.

real corpora. We compare LDA and SBM for a variety of distinct facts sets, as shown in desk 1 (for particulars, see “statistics sets for real corpora” or “Numerical implementations” part in substances and methods). When the usage of LDA, we accept as true with each noninformative priors and equipped hyperparameters for a wide array of numbers of themes. We gain systematically smaller values for the description size using the hSBM. For true corpora, the change is exacerbated by way of the undeniable fact that the hSBM is able to clustering files, capitalizing on a supply of constitution within the information that are absolutely unavailable to LDA.

table 1 hSBM outperforms LDA in real corpora.

each row corresponds to a distinct data set (for details, see “facts units for true corpora” section in substances and techniques). We supply simple data of every records set in column “Corpus.” The fashions are compared on the foundation of their description size Σ (see Eq. 22). We highlight the smallest Σ for each corpus in boldface to point out the most advantageous model. outcomes for LDA with noninformative and fitted hyperparameters are proven in columns “ΣLDA” and “ΣLDA (hyperfit)” for different variety of topics okay ϵ 10, 50, a hundred, 500. consequences for the hSBM are shown in column “ΣhSBM” and the inferred number of organizations (documents and words) in “hSBM groups.”

As our examples also reveal, LDA can not be utilized in an immediate manner to select the number of topics, because the noninformative alternative systematically underfits (ΣLDA raises monotonically with the number of topics) and the parametric method systematically overfits (ΣLDA decreases monotonically with the number of themes). In observe, clients are required to hotel to heuristics (46, forty seven) or extra advanced inference tactics in keeping with the computation of the model facts, which now not simplest are numerically expensive however can best be carried out under exhausting approximations (6, 22). In distinction, the hSBM is able to extracting the acceptable number of topics at once from its posterior distribution while concurrently warding off both below- and overfitting (forty, forty two).

besides these formal points, we argue that the hierarchical nature of the hSBM and the proven fact that it clusters phrases and documents make it extra helpful in deciphering text. We illustrate this with a case analyze in the subsequent part.

Case analyze: software of hSBM to Wikipedia articles

We illustrate the results of the inference with the hSBM for articles taken from the English Wikipedia in Fig. 5, displaying the hierarchical clustering of files and phrases. To make the visualization clearer, we focus on a small community produced from simplest three scientific disciplines: chemical physics (21 articles), experimental physics (24 articles), and computational biology (18 articles). For readability, we most effective accept as true with phrases that appear greater than once so that we become with a network of 63 doc nodes, 3140 be aware nodes, and 39,704 edges.

Fig. 5 Inference of hSBM to articles from the Wikipedia.

Articles from three classes (chemical physics, experimental physics, and computational biology). the primary hierarchical degree reflects bipartite nature of the network with doc nodes (left) and note nodes (appropriate). The grouping on the second hierarchical level is indicated via strong lines. We exhibit examples for nodes that belong to each and every neighborhood on the third hierarchical degree (indicated through dotted lines): For be aware nodes, we show the five most typical words; for document nodes, we demonstrate three (or fewer) randomly selected articles. For each and every note, we calculate the dissemination coefficient UD, which quantifies how inconsistently words are distributed among files (60): UD = 1 suggests the expected dissemination from a random null model; the smaller UD (0 < UD < 1), the more erratically a be aware is allotted. We show the 5th, 25th, 50th, seventy fifth, and 95th percentile for each neighborhood of word nodes on the third stage of the hierarchy. Intl. Soc. for Comp. Biol., overseas Society for Computational Biology; RRKM theory, Rice-Ramsperger-Kassel-Marcus concept.

The hSBM splits the community into businesses on diverse stages, geared up as a hierarchical tree. observe that the variety of companies and the variety of levels had been now not designated before but automatically detected within the inference. On the optimum level, hSBM displays the bipartite structure into notice and document nodes, as is imposed in our model.

In distinction to common subject matter fashions equivalent to LDA, hSBM automatically clusters files into groups. whereas we regarded articles from three different classes (one category from biology and two classes from physics), the 2nd degree in the hierarchy separates files into handiest two businesses comparable to articles about biology (as an instance, bioinformatics or k-mer) and articles on physics (as an example, rotating wave approximation or molecular beam). For lower levels, articles develop into separated into a larger number of organizations; for example, one neighborhood contains two articles on Euler’s and Newton’s legislation of motion, respectively.

For phrases, the second degree within the hierarchy splits nodes into three separate agencies. We find that two groups signify words belonging to physics (as an example, beam, formulation, or power) and biology (meeting, folding, or protein), whereas the third group represents feature phrases (the, of, or a). We find that the latter community’s words demonstrate shut-to-random distribution across files through calculating the dissemination coefficient (correct facet of Fig. 5, see caption for definition). additionally, the median dissemination of the other agencies is extensively less random with the exception of one subgroup (containing and, for, or which). this means a extra statistics-pushed approach to coping with feature phrases in subject models. The normal practice is to remove words from a manually curated listing of stopwords; however, fresh results question the efficacy of these methods (forty eight). In distinction, the hSBM is capable of immediately determine corporations of stopwords, potentially rendering these heuristic interventions unnecessary.


living Legends: Charlie Euripides: Giving again to His Adopted nation | killexams.com Real Questions and Pass4sure dumps

As a young boy turning out to be up in Cyprus, Charlie Euripides dreamed of 1 day coming to the usa. He worked diligently in college, discovering Latin, French and English along with arithmetic and historical past. whereas nonetheless an adolescent, he left his family behind and immigrated to the U.S. to start a new existence.

“It become my lifetime ambition to come back to the U.S.,” spoke of Euripides, who arrived in 1951. “I had been informed the faculties here have been first rate so I knew something future I had can be here.”

“right here” become Alexandria, the place Euripides joined an uncle who owned a small restaurant at the corner of King and Royal streets. Euripides put in lengthy hours on the restaurant while taking citizenship courses on the former George Washington excessive school in Del Ray and learning engineering at George Washington college in D.C.

In 1954, along with his adopted country in the midst of the Korean struggle, Euripides enlisted in the U.S. Navy. He served two years aboard the Battleship New Jersey in the Gunnery Division adopted through two years with the sixth Fleet aboard the Flagship Salem. Euripides became a part of the special capabilities unit where he translated messages from the Greek Coast defend, Navy and Air drive. He translated every thing from excessive level messages from the Greek executive to notifications about World struggle II mines still floating within the Mediterranean.

“The Russians followed us all over,” Euripides pointed out of his time within the Mediterranean. “that they had camouflaged fishing boats with antennas disguised as clotheslines however that on no account in reality fooled any person.”

Following his defense force service, Euripides back to Alexandria where he had a choice to make.

“i wished to return to school but my uncle became aging and could now not work full time,” Euripides recalled. “while i was within the carrier he had begun to feel about selling the restaurant. It was a tricky option, however within the conclusion I decided to live and aid my uncle.”

ordinary at the time as the Royal Café, Euripides at last took over the restaurant, which become everyday with native politicians, legislations enforcement personnel and judges.

“We always had a free cup of espresso or cold drink expecting the officers earlier than they started their shifts,” Euripides noted.

In 1964, as urban Renewal swept the city, Euripides changed into pressured to vacate the area the place the restaurant had stood due to the fact 1904.

“The city would not even let us take the restaurant equipment out of the constructing before bulldozing it,” Euripides unfortunately recalled. “I nonetheless bear in mind seeing my uncle standing throughout the road with tears streaming down his face as he watched the building come down.”

according to the restaurant’s web site, Euripides and his uncle have been “undaunted by way of the uncompensated taking of their major place” and in 1965 moved “The Royal” to its present location on North St. Asaph street. Euripides, through now married and raising a family, was decided that the brand new Royal Restaurant can be successful.

“This turned into our handiest income,” Euripides stated. “I couldn’t let my uncle or my personnel down.”

a few of those employees protected young immigrants Euripides became introduced to via St. Katherine’s Greek Orthodox Church.

As an immigrant himself, Euripides understood the difficulties confronted through younger immigrants nowadays. He and his wife Barbara previous to her demise in 2001 provided jobs and mentoring to immigrants looking to turn into americans. In that regard, Euripides helped sponsor many T.C. Williams high school college students in their quest for American citizenship.

“Barbara and that i wanted to support these younger americans as gold standard we might,” Euripides recalled. “I supplied them with jobs, tutored them on the fundamentals of government and sponsored them for citizenship.”

on the same time, Euripides had become involved with the American Legion post 24 in old city. He first joined the Legion in 1958 and saw how some World struggle I and WWII veterans had been struggling to survive.

“I remember one past Legion Commander who could not have enough money to get a prescription filled,” pointed out Euripides, who did not need to determine any of the veterans via name. “I couldn’t agree with it. These guys were outside our own door, out on our own streets so i attempted to do something I may to aid.”

That help came primarily in the method of meals. Euripides offered countless nutrients for the veterans and even hosted an open Thanksgiving Day meal for veterans who had no region else to move.

“I wasn’t bound what to predict,” Euripides noted. “These were very proud guys. however we had more than 50 veterans show up that nighttime.”

For the past 60 years, Euripides has donated his time and resources to most of the classes of the American Legion as well as different militia and veteran-focused initiatives.

“whenever we essential anything else, Charlie was there,” observed 92-yr-historical Col. Kim Ching, a past put up 24 Commander who served in WWII, Korea and Vietnam. “despite the fact that there are more substances accessible for nowadays’s veterans, Charlie remains as beneficiant as he became before assist for veterans grew to be normal.”

in addition to his carrying on with work with veterans, Euripides has supported many nonprofit and social carrier businesses such because the Salvation military, Del Ray Artisans and the Alexandria Police basis with substantial financial and in-form donations of meals and catering features.

“variety and beneficiant don’t go a ways ample in describing Charlie,” observed DRA vice chairman John Bordner. “if you ask him to perhaps give a facet dish for a fundraising event, he and his team of workers would roll in with a diffusion for one hundred americans. in the beginning I hesitated to ask for his help but then i might see the absolute pleasure and delight in his eyes in helping you create an exquisite and memorable evening for every person.”

among his many recognitions and awards, Euripides become offered with the celebrated wonderful Patriot Award at the Alexandria Chamber of Commerce 2016 Salute to Veterans reception.

At eighty five years historical, Euripides nonetheless greets consumers at the restaurant. His more youthful brother Richard is the chef, having joined Euripides as a refugee when Turkey invaded Cyprus in 1974.

In an period when the lifespan of a successful, independently-owned restaurant is 5 years, the Royal Restaurant has been going mighty for 114 years and is still a well-liked gathering spot for locals.

Euripides, a widower and father of three sons, has served numerous politicians and celebrities through the years, including Gerald Ford, Bob Hope, Sammy Davis Jr. and Elizabeth Taylor. but he has under no circumstances forgotten his neighborhood, tirelessly presenting generous assist to hundreds of native charities, always announcing “I hope I could do extra.”


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  • Newbury UMC to present vacation Bible college | killexams.com real questions and Pass4sure dumps

    Wednesday Jul 18, 2018 at three:02 PM Jul 19, 2018 at 9:fifty five AM

    Newport United Methodist Church, 8002 Newport highway SE, Uhrichsville, will dangle a holiday Bible faculty from 6 to eight:30 p.m. July 30 via Aug. 3.

    The theme can be Rolling River Rampage. The school should be provided for a long time 4-12, and as a new feature, an grownup class additionally can be provided so families can attend collectively.

    A closing software might be held from 9 to 10:30 a.m. right through worship.

    For tips: newportumctusc.org.

    SUBMITTED by using NEWBURY UNITED METHODIST CHURCH


    throughout Demographics and countries, consumers Are losing endurance | killexams.com real questions and Pass4sure dumps

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    a new analyze on the affect of consumer service experiences indicates how lots an organization’s reputation and customer loyalty grasp in the stability with each and every individual journey—tremendous or negative—and the way little it takes for a consumer to desert a corporation or company.

    The client experience Tipping factor analyze by client event administration expert Medallia in partnership with Ipsos finds that purchasers’ suitable ingredient for repeat business and loyalty is whether or not the individual turned into convinced with their own event of the manufacturer.

    The look at surveyed 8,002 patrons in four markets (2,002 US; 2,000 UK; 2,000 France; 2,000 Germany) with demographics with the aid of age matching the share of each technology in the inhabitants of that nation. Their answers may still alarm, or at least awaken, companies

    What matters Most to consumers

    Half of respondents stated a good personal event as their leading explanation for buying from an organization. The 2nd optimum ingredient—the journey of friends, families and friends—influenced 20% of participants. brand recognition, in the meantime, simplest influenced 16% of the patrons surveyed.

    All other factors (including online opinions of different consumers and specialists, communique from the enterprise, expert opinions in ordinary media, the opinion of concept leaders and those of influencers) had a marginal have an impact on on the choice to develop into a repeat client.

    of these different factors, the online options of alternative buyers carried out greatest, influencing 9% of respondents. The opinions of celebrities—a cautionary observe for manufacturers investing heavily in social media influencer advertising—only influenced 3% of respondents.

    Experiences rely greater than ever (much more than manufacturer attractiveness).

    We partnered with @Ipsos and surveyed over 8k consumers in 4 nations throughout 6 industries to find out how which you could meet or exceed client expectations. down load analyze: https://t.co/YHrtPqURtj pic.twitter.com/MEnBNk2dAg

    — Medallia (@Medallia) June 21, 2018

    The cost of Disappointment

    Disappointing a consumer with one dangerous experience can charge a brand dearly. practically half (forty six%) of U.S. cellular purchasers, as an instance, talked about they're more likely to swap manufacturers after having one bad experience. sixty four% of UK buyers say they have got averted a manufacturer, whether telco, online retail, banking or hospitality, because of a nasty event during the past 12 months.

    patrons expect a customized adventure, with 30% of respondents saying they are expecting name center agents to be instantly universal with their contact historical past. forty% of the respondents predict to be provided personalized experiences according to their interests, purchasing habits, demographics and psychographics.

    What’s extra, every touchpoint concerns. shoppers expect their journey to be seamless and efficient, online and offline. as an instance, 56% of online retail purchasers and 49% of retail offline valued clientele are expecting consistent ranges of carrier throughout actual and digital channels.

    consumers who've a positive emotional journey with a brand are 15 times more more likely to advocate, eight instances more likely to trust and seven instances more likely to buy.

    Medallia Ipsos The Customer Experience Tipping point study 2018 - chart

    The Social Media Soapbox

    What makes consumer adventure so crucial is that consumers are way more likely to share and increase their experiences on social media in the event that they judge the experience to be negative.

    essentially two-thirds (sixty four% of these surveyed) have avoided a company following what they consider to be their personal poor journey in the past year. What’s extra, 47% of respondents noted they prevented a brand that had earned a poor on-line popularity or bad stories.

    On the vibrant aspect, a private positive consumer adventure with a manufacturer will have an effect on seventy seven% of patrons to return. Of buyers surveyed, 59% talked about they would buy from a company as a result of they heard or read about a person else’s decent journey.

    Talkin’ ’bout My technology

    manufacturers can be overlooking an important group of buyers: Many businesses tailor to more youthful generations, but the 55+ age neighborhood is the quickest growing to be grownup demographic within the U.S. and (in response to the United international locations) most other markets. This community of consumers indicated their expectations have been surpassed in the closing 365 days at a lessen expense than another neighborhood surveyed.

    women and younger generations are more likely to steer clear of a manufacturer because of a foul journey: sixty six% of ladies (vs. 62% of men) globally have prevented a manufacturer as a result of a nasty experience (with sixty four% being the international normal for each guys and women). furthermore, this habits is much more pronounced for millennials and Gen Z, with 70% and 68% respectively fending off a company as a result of a nasty adventure.

    In demographic terms, millennials are most influenced by means of their own poor experiences, with 70% heading off manufacturers following a bad event in the past year. The impact of negative adventure is also high amongst Boomers (60%), GenX (sixty five%) and GenZ (68%).

    The Silent generation (73-ninety years historic) is the least influenced by using negative adventure, with 50% nevertheless announcing they would steer clear of a company after a bad journey. they are additionally least more likely to be on, or influenced through, social media.

    The bad experiences of different patrons, meanwhile, has the most fulfilling have an impact on over younger generations (fifty five% of Millennials and 58% of GenZ), while nonetheless affecting older cohorts (40% of Boomers and 33% of Silents).

    buyers are much less likely to be less convinced as they get older, whereas respondents under the age of fifty five are more convinced than these fifty five or older. younger generations additionally have been twice as likely to document that brands surpassed their expectations as those that are fifty five or older.

    Medallia Ipsos The Customer Experience Tipping point study 2018 - chart

    Hell Hath No Fury…

    terrible, certainly irritated, sentiment spreads on social media like wildfire. up to forty% of patrons noted they're going to actively promote negative messaging to warn others following their personal dangerous event, even if that’s telling family unit, pals or strangers to boycott a company.

    33% stated they might permanently boycott a corporation on account of a poor event. A greatly decrease variety of people noted they'd notify the “offending” enterprise of what they considered to be egregious treatment or customer carrier. How that breaks down:

    —21% will tell local personnel at a store or branch recognize that they're disappointed—19% gained’t do anything to notify the company—18% will bitch to a client or name middle—15% will whinge by the use of the enterprise’s site—11% will write a letter of complaint—8% will share a nasty adventure on social media—4% will contact a buyer advocacy firm.

    Medallia Ipsos The Customer Experience Tipping point study 2018 - chart

    “Your name is awfully vital to Us”

    70% of patrons file that they predict an instantaneous response after they submit a complaint. And don’t are looking to be responsible for fixing a corporation’s mistake.

    while how at once an organization responds to poor experiences matters, respondents said, but 29% of them said that groups had executed nothing to actively tackle their criticism.

    within the U.S., on-line retail brands had been certainly to fulfill client needs, with ninety six% p.c of respondents asserting that their wants were met or passed.

    When consumers trust they have got put in more effort than a company to unravel an argument, they are twice as likely to inform friends, family unit or colleagues about the bad journey, and 4 instances extra more likely to stop deciding to buy from the enterprise, switch manufacturers, or use the company less often.

    Medallia Ipsos The Customer Experience Tipping point study 2018

    The down load

    “buyers today are refined and do their research before making a purchase. They predict to have a seamless and fine journey and if these aren’t met, consumers understand they've alternate options,” brought up Rachel Lane, answer important at Medallia. “For agencies seeking to create a aggressive edge, having a robust brand attention, and even stellar product isn’t enough. customer event is the tipping factor, and with out a robust plan to create and maintain a favorable experience, agencies will lose out.”

    “Acknowledgement of consumer event as a driver of company performance is at an all-time high. Failure to properly be aware client wants leads to wasted funds, time and power,” delivered Jean-Francois Damais, chief research officer at Ipsos. “When it involves dealing with consumer issues, the secret's to in the reduction of perceptions of unfairness. That’s all about getting the balance of effort correct. It’s a time-crucial case of reacting intelligently, being mindful of your consumer and figuring out when it’s enough to make an apology. and perhaps greater importantly, when it isn’t.”

    report download | New research from @Ipsos and @Medallia shows #CustomerExperience is the no 1 rationale consumers choose a #company. more info https://t.co/iMDIAPaVq9

    — Ipsos Loyalty (@ipsosloyalty) July 2, 2018



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    PRMIA 8002 Exam (II- Mathematical Foundations of Risk(R) Measurement) Detailed Information



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