representation

Advances in Representation Theory of Algebras

David J. Benson, University of Aberdeen, Henning Krause, University of Bielefeld, and Andrzej Skowronski, Nicolaus Copernicus University, Editors - A publication of the European Mathematical Society, 2013, 378 pp., Hardcover, ISBN-13: 978-3-03719-125-5, List: US$98, Institutional Member: US$78.40, All Individuals: US$78.40, EMSSCR/9

This volume presents a collection of articles devoted to representations of algebras and related topics. Dististinguished experts in this field...




representation

Lectures on Representations of Surface Groups

Francois Labourie, Universite Paris Sud - A publication of the European Mathematical Society, 2013, 146 pp., Softcover, ISBN-13: 978-3-03719-127-9, List: US$38, All AMS Members: US$30.40, EMSZLEC/17

The subject of these notes is the character variety of representations of a surface group in a Lie group. The author emphasizes the various points of...




representation

Hodge Theory, Complex Geometry, and Representation Theory

Robert S. Doran, Greg Friedman, and Scott Nollet, Texas Christian University, Editors - AMS, 2014, approx. 318 pp., Softcover, ISBN-13: 978-0-8218-9415-6, List: US$113, All AMS Members: US$90.40, CONM/608

This volume contains the proceedings of an NSF/Conference Board of the Mathematical Sciences (CBMS) regional conference on Hodge theory, complex...




representation

Perspectives in Representation Theory

Pavel Etingof, Massachusetts Institute of Technology, Mikhail Khovanov, Columbia University, and Alistair Savage, University of Ottawa, Editors - AMS, 2014, 370 pp., Softcover, ISBN-13: 978-0-8218-9170-4, List: US$126, All AMS Members: US$100.80, CONM/610

This volume contains the proceedings of the conference Perspectives in Representation Theory, held from May 12-17, 2012, at Yale University, in honor...




representation

Problem Notes for SAS®9 - 65935: The UNICODE function does not support Numeric Character Representation (NCR) for a surrogate pair

Using the NCR form of a surrogate pair as an input string to the UNICODE function does not convert the string to the appropriate display character.




representation

The Future of Democracy in Europe: Technology and the Evolution of Representation

3 March 2020

To the extent that perceptions of a crisis in liberal democracy in Europe can be confirmed, this paper investigates the nature of the problem and its causes, and asks what part, if any, digital technology plays in it.

Hans Kundnani

Senior Research Fellow, Europe Programme

2020-02-27-Irish-Referendum.jpg

A woman writes a note on the Savita Halappanavar mural in Dublin on 26 May 2018, following a referendum on the 36th amendment to Ireland’s constitution. The referendum result was overwhelmingly in favour of removing the country’s previous near-universal ban on abortion. Photo: Getty Images.

Summary

  • There is a widespread sense that liberal democracy is in crisis, but little consensus exists on the specific nature and causes of the crisis. In particular, there are three prisms through which the crisis is usually seen: the rise of ‘populism’, ‘democratic deconsolidation’, and a ‘hollowing out’ of democracy. Each reflects normative assumptions about democracy.
  • The exact role of digital technology in the crisis is disputed. Despite the widely held perception that social media is undermining democracy, the evidence for this is limited. Over the longer term, the further development of digital technology could undermine the fundamental preconditions for democracy – though the pace and breadth of technological change make predictions about its future impact difficult.
  • Democracy functions in different ways in different European countries, with political systems on the continent ranging from ‘majoritarian democracies’ such as the UK to ‘consensual democracies’ such as Belgium and Switzerland. However, no type seems to be immune from the crisis. The political systems of EU member states also interact in diverse ways with the EU’s own structure, which is problematic for representative democracy as conventionally understood, but difficult to reform.
  • Political parties, central to the model of representative democracy that emerged in the late 18th century, have long seemed to be in decline. Recently there have been some signs of a reversal of this trend, with the emergence of parties that have used digital technology in innovative ways to reconnect with citizens. Traditional parties can learn from these new ‘digital parties’.
  • Recent years have also seen a proliferation of experiments in direct and deliberative democracy. There is a need for more experimentation in these alternative forms of democracy, and for further evaluation of how they can be integrated into the existing institutions and processes of representative democracy at the local, regional, national and EU levels.
  • We should not think of democracy in a static way – that is, as a system that can be perfected once and for all and then simply maintained and defended against threats. Democracy has continually evolved and now needs to evolve further. The solution to the crisis will not be to attempt to limit democracy in response to pressure from ‘populism’ but to deepen it further as part of a ‘democratization of democracy’.




representation

ADA seeks nominations for representation on Dental Quality Alliance

The ADA is calling for nominations for two seats to represent the Association in the Dental Quality Alliance.




representation

The Right to Representation Before the Fair Work Commission.




representation

Representation Learning for Dynamic Graphs: A Survey

Graphs arise naturally in many real-world applications including social networks, recommender systems, ontologies, biology, and computational finance. Traditionally, machine learning models for graphs have been mostly designed for static graphs. However, many applications involve evolving graphs. This introduces important challenges for learning and inference since nodes, attributes, and edges change over time. In this survey, we review the recent advances in representation learning for dynamic graphs, including dynamic knowledge graphs. We describe existing models from an encoder-decoder perspective, categorize these encoders and decoders based on the techniques they employ, and analyze the approaches in each category. We also review several prominent applications and widely used datasets and highlight directions for future research.




representation

Primal and dual model representations in kernel-based learning

Johan A.K. Suykens, Carlos Alzate, Kristiaan Pelckmans

Source: Statist. Surv., Volume 4, 148--183.

Abstract:
This paper discusses the role of primal and (Lagrange) dual model representations in problems of supervised and unsupervised learning. The specification of the estimation problem is conceived at the primal level as a constrained optimization problem. The constraints relate to the model which is expressed in terms of the feature map. From the conditions for optimality one jointly finds the optimal model representation and the model estimate. At the dual level the model is expressed in terms of a positive definite kernel function, which is characteristic for a support vector machine methodology. It is discussed how least squares support vector machines are playing a central role as core models across problems of regression, classification, principal component analysis, spectral clustering, canonical correlation analysis, dimensionality reduction and data visualization.




representation

Plan2Vec: Unsupervised Representation Learning by Latent Plans. (arXiv:2005.03648v1 [cs.LG])

In this paper we introduce plan2vec, an unsupervised representation learning approach that is inspired by reinforcement learning. Plan2vec constructs a weighted graph on an image dataset using near-neighbor distances, and then extrapolates this local metric to a global embedding by distilling path-integral over planned path. When applied to control, plan2vec offers a way to learn goal-conditioned value estimates that are accurate over long horizons that is both compute and sample efficient. We demonstrate the effectiveness of plan2vec on one simulated and two challenging real-world image datasets. Experimental results show that plan2vec successfully amortizes the planning cost, enabling reactive planning that is linear in memory and computation complexity rather than exhaustive over the entire state space.




representation

Rates of convergence in de Finetti’s representation theorem, and Hausdorff moment problem

Emanuele Dolera, Stefano Favaro.

Source: Bernoulli, Volume 26, Number 2, 1294--1322.

Abstract:
Given a sequence ${X_{n}}_{ngeq 1}$ of exchangeable Bernoulli random variables, the celebrated de Finetti representation theorem states that $frac{1}{n}sum_{i=1}^{n}X_{i}stackrel{a.s.}{longrightarrow }Y$ for a suitable random variable $Y:Omega ightarrow [0,1]$ satisfying $mathsf{P}[X_{1}=x_{1},dots ,X_{n}=x_{n}|Y]=Y^{sum_{i=1}^{n}x_{i}}(1-Y)^{n-sum_{i=1}^{n}x_{i}}$. In this paper, we study the rate of convergence in law of $frac{1}{n}sum_{i=1}^{n}X_{i}$ to $Y$ under the Kolmogorov distance. After showing that a rate of the type of $1/n^{alpha }$ can be obtained for any index $alpha in (0,1]$, we find a sufficient condition on the distribution of $Y$ for the achievement of the optimal rate of convergence, that is $1/n$. Besides extending and strengthening recent results under the weaker Wasserstein distance, our main result weakens the regularity hypotheses on $Y$ in the context of the Hausdorff moment problem.




representation

The Cognitive Thalamus as a Gateway to Mental Representations

Mathieu Wolff
Jan 2, 2019; 39:3-14
Viewpoints




representation

The Representation of Semantic Information Across Human Cerebral Cortex During Listening Versus Reading Is Invariant to Stimulus Modality

Fatma Deniz
Sep 25, 2019; 39:7722-7736
BehavioralSystemsCognitive




representation

Adaptive representation of dynamics during learning of a motor task

R Shadmehr
May 1, 1994; 14:3208-3224
Articles




representation

Cross Recruitment of Domain-Selective Cortical Representations Enables Flexible Semantic Knowledge

Knowledge about objects encompasses not only their prototypical features but also complex, atypical, semantic knowledge (e.g., "Pizza was invented in Naples"). This fMRI study of male and female human participants combines univariate and multivariate analyses to consider the cortical representation of this more complex semantic knowledge. Using the categories of food, people, and places, this study investigates whether access to spatially related geographic semantic knowledge (1) involves the same domain-selective neural representations involved in access to prototypical taste knowledge about food; and (2) elicits activation of neural representations classically linked to places when this geographic knowledge is accessed about food and people. In three experiments using word stimuli, domain-relevant and atypical conceptual access for the categories food, people, and places were assessed. Results uncover two principles of semantic representation: food-selective representations in the left insula continue to be recruited when prototypical taste knowledge is task-irrelevant and under conditions of high cognitive demand; access to geographic knowledge for food and people categories involves the additional recruitment of classically place-selective parahippocampal gyrus, retrosplenial complex, and transverse occipital sulcus. These findings underscore the importance of object category in the representation of a broad range of knowledge, while showing how the cross recruitment of specialized representations may endow the considerable flexibility of our complex semantic knowledge.

SIGNIFICANCE STATEMENT We know not only stereotypical things about objects (an apple is round, graspable, edible) but can also flexibly combine typical and atypical features to form complex concepts (the metaphorical role an apple plays in Judeo-Christian belief). In this fMRI study, we observe that, when atypical geographic knowledge is accessed about food dishes, domain-selective sensorimotor-related cortical representations continue to be recruited, but that regions classically associated with place perception are additionally engaged. This interplay between categorically driven representations, linked to the object being accessed, and the flexible recruitment of semantic stores linked to the content being accessed, provides a potential mechanism for the broad representational repertoire of our semantic system.




representation

Ultra-high-resolution fMRI of Human Ventral Temporal Cortex Reveals Differential Representation of Categories and Domains

Human ventral temporal cortex (VTC) is critical for visual recognition. It is thought that this ability is supported by large-scale patterns of activity across VTC that contain information about visual categories. However, it is unknown how category representations in VTC are organized at the submillimeter scale and across cortical depths. To fill this gap in knowledge, we measured BOLD responses in medial and lateral VTC to images spanning 10 categories from five domains (written characters, bodies, faces, places, and objects) at an ultra-high spatial resolution of 0.8 mm using 7 Tesla fMRI in both male and female participants. Representations in lateral VTC were organized most strongly at the general level of domains (e.g., places), whereas medial VTC was also organized at the level of specific categories (e.g., corridors and houses within the domain of places). In both lateral and medial VTC, domain-level and category-level structure decreased with cortical depth, and downsampling our data to standard resolution (2.4 mm) did not reverse differences in representations between lateral and medial VTC. The functional diversity of representations across VTC partitions may allow downstream regions to read out information in a flexible manner according to task demands. These results bridge an important gap between electrophysiological recordings in single neurons at the micron scale in nonhuman primates and standard-resolution fMRI in humans by elucidating distributed responses at the submillimeter scale with ultra-high-resolution fMRI in humans.

SIGNIFICANCE STATEMENT Visual recognition is a fundamental ability supported by human ventral temporal cortex (VTC). However, the nature of fine-scale, submillimeter distributed representations in VTC is unknown. Using ultra-high-resolution fMRI of human VTC, we found differential distributed visual representations across lateral and medial VTC. Domain representations (e.g., faces, bodies, places, characters) were most salient in lateral VTC, whereas category representations (e.g., corridors/houses within the domain of places) were equally salient in medial VTC. These results bridge an important gap between electrophysiological recordings in single neurons at a micron scale and fMRI measurements at a millimeter scale.




representation

Neural Evidence for the Prediction of Animacy Features during Language Comprehension: Evidence from MEG and EEG Representational Similarity Analysis

It has been proposed that people can generate probabilistic predictions at multiple levels of representation during language comprehension. We used magnetoencephalography (MEG) and electroencephalography (EEG), in combination with representational similarity analysis, to seek neural evidence for the prediction of animacy features. In two studies, MEG and EEG activity was measured as human participants (both sexes) read three-sentence scenarios. Verbs in the final sentences constrained for either animate or inanimate semantic features of upcoming nouns, and the broader discourse context constrained for either a specific noun or for multiple nouns belonging to the same animacy category. We quantified the similarity between spatial patterns of brain activity following the verbs until just before the presentation of the nouns. The MEG and EEG datasets revealed converging evidence that the similarity between spatial patterns of neural activity following animate-constraining verbs was greater than following inanimate-constraining verbs. This effect could not be explained by lexical-semantic processing of the verbs themselves. We therefore suggest that it reflected the inherent difference in the semantic similarity structure of the predicted animate and inanimate nouns. Moreover, the effect was present regardless of whether a specific word could be predicted, providing strong evidence for the prediction of coarse-grained semantic features that goes beyond the prediction of individual words.

SIGNIFICANCE STATEMENT Language inputs unfold very quickly during real-time communication. By predicting ahead, we can give our brains a "head start," so that language comprehension is faster and more efficient. Although most contexts do not constrain strongly for a specific word, they do allow us to predict some upcoming information. For example, following the context of "they cautioned the...," we can predict that the next word will be animate rather than inanimate (we can caution a person, but not an object). Here, we used EEG and MEG techniques to show that the brain is able to use these contextual constraints to predict the animacy of upcoming words during sentence comprehension, and that these predictions are associated with specific spatial patterns of neural activity.




representation

Hollywood's 'Golden Age' Saw Massive Dip in Female Film Representation

A new study ties the ousting of women directors, actors, producers and screenwriters to the rise of entertainment studios




representation

With the goal of better representation in media, this college is launching an Indigenous cinema program

Kiuna College hopes to play an active role in the emergence of the next generation of Indigenous filmmakers and creators.




representation

Justices Decline Challenge to Exclusive Public-Employee Union Representation

The U.S. Supreme Court declined to take up a case that held the potential to deal a further blow to public-employee unions after last year's "Janus" decision.




representation

Students on School Boards: Balancing Representation and Fairness

Having student board members with voting clout on school boards poses a number of logistical challenges, readers say in response to a recent Education Week feature.




representation

HR e-briefing 445 - Right to legal representation at internal hearings

When asked whether employees have the legal right to bring a lawyer to internal disciplinary hearings, most employers would say no. Indeed, most organisations have formulated policies around the statutory provisions, which refe...




representation

Bhumi Pednekar believes female representation in cinema is extremely important

Bhumi Pednekar believes female representation in cinema is extremely important to her




representation

Iowa Man Pleads Guilty to Possessing Obscene Visual Representations of the Sexual Abuse of Children

Christopher Handley, 39, of Glenwood, Iowa, pleaded guilty today in Des Moines, Iowa, to possessing obscene visual representations of the sexual abuse of children and mailing obscene material.



  • OPA Press Releases

representation

Using Crowd-Sourced Mapping to Improve Representation and Detect Gerrymanders in Ohio


Analysis of dozens of publicly created redistricting plans shows that map-making technology can improve political representation and detect a gerrymander.  In 2012, President Obama won the vote in Ohio by three percentage points, while Republicans held a 13-to-5 majority in Ohio’s delegation to the U.S. House. After redistricting in 2013, Republicans held 12 of Ohio’s House seats while Democrats held four. As is typical in these races, few were competitive; the average margin of victory was 32 points. Is this simply a result of demography, the need to create a majority-minority district, and the constraints traditional redistricting principles impose on election lines—or did the legislature intend to create a gerrymander?

Crowd-Sourced Redistricting Maps

In the Ohio elections, we have a new source of information that opens a window into the legislature’s choice: Large numbers of publicly created redistricting plans.

During the last round of redistricting, across the country thousands of people in over a dozen states created hundreds of legal redistricting plans. Advances in information technology and the engagement of grassroots reform groups made these changes possible. To promote these efforts we created the DistrictBuilder open redistricting platform and many of these groups used this tool to create their plans.

Over the last several years, we have used the trove of information produced by public redistricting to gain insight into the politics of representation. In previous work that analyzed public redistricting in Virginia[1], and in Florida[2], we discovered that members of the public are capable of creating legal redistricting plans that outperform those maps created by legislatures in a number of ways.

Public redistricting in Ohio shows something new—the likely motives of the legislature. This can be seen through using information visualization methods to show the ways in which redistricting goals can be balanced (or traded-off) in Ohio , revealing the particular trade-offs made by the legislature.

The figure below, from our new research paper[3], shows 21 plots—each of which compares legislative and publicly-created plans using a pair of scores—altogether covering seven different traditional and representational criteria. A tiny ‘A’ shows the adopted plan. The top-right corner of each mini-plot shows the best theoretically possible score. When examined by itself, the legislative plan meets a few criteria: it minimizes population deviation, creates an expected majority-minority seat, and creates a substantial majority of districts that would theoretically be competitive in an open-seat race in which the statewide vote was evenly split.

Figure 1: Pairwise Congressional Score Comparisons (Scatterplots) - Standardized Scores

In previous rounds of redistricting, empirical analysis would stop here—unless experts were called in to draw alternative plans in litigation. However, the large number of public plans now available allows us to see other options, plans the legislature could readily have created had it desired to do so. Comparison of the adopted plans and public plans reveal the weakness of the legislature’s choice. Members of the public were able to find plans that soundly beat the legislative plan on almost every pair of criteria, including competitive districts.

So why was the adopted plan chosen? Information visualization can help here, as well, but we need to add another criterion—partisan advantage:

Pareto Frontier: Standard Criteria vs. Democratic Surplus

When we visualize the number of expected Democratic seats that was likely to result from each plan, and compare this to the other score, we can see that the adopted plan is the best at something— producing Republican seats.

Was Ohio gerrymandered? Applying our proposed gerrymandering detection method, the adopted plans stands in high contrast to the public sample of plans, even if the overall competition scoring formula is slightly biased towards the Democrats, as strongly biased towards the Republicans on any measure of partisan fairness. Moreover analyzing the tradeoffs among redistricting criteria illuminate empirically demonstrates what is often suspected, but is typically impossible to demonstrate—that had the legislature desired to improve any good-government criterion—it could have done so, simply by sacrificing some partisan advantage. In light of this new body of evidence, the political intent of the legislature is clearly displayed.

However, when politics and technology mix, beware of Kranzberg’s first law: “Technology is neither good nor bad; nor is it neutral.”[4] Indeed there is an unexpected and hopeful lesson on reform revealed by the public participation that was enabled by new technology. The public plans show that, in Ohio, it is possible to improve the expected competitiveness, and to improve compliance with traditional districting principles such as county integrity, without threatening majority-minority districts simply by reducing partisan advantage—this is a tradeoff we should gladly accept.



[1] Altman M, McDonald MP. A Half-Century of Virginia Redistricting Battles: Shifting from Rural Malapportionment to Voting Rights to Public Participation. Richmond Law Review [Internet]. 2013;43(1):771-831.

[2] Altman M, McDonald M. Paradoxes Of Political Reform: Congressional Redistricting In Florida. In: Jigsaw Puzzle Politics in the Sunshine State. University Press of Florida; 2014.

[3] Altman, Micah and McDonald, Michael P., Redistricting by Formula: An Ohio Reform Experiment (June 3, 2014). Available at SSRN: http://ssrn.com/abstract=2450645

[4] Kranzberg, Melvin (1986) Technology and History: "Kranzberg's Laws", Technology and Culture, Vol. 27, No. 3, pp. 544-560.

Image Source: © Jonathan Ernst / Reuters
      
 
 




representation

Using Crowd-Sourced Mapping to Improve Representation and Detect Gerrymanders in Ohio

Analysis of dozens of publicly created redistricting plans shows that map-making technology can improve political representation and detect a gerrymander.  In 2012, President Obama won the vote in Ohio by three percentage points, while Republicans held a 13-to-5 majority in Ohio’s delegation to the U.S. House. After redistricting in 2013, Republicans held 12 of Ohio’s…

      
 
 




representation

During Suffrage Anniversary, Wyoming Women Aim to Boost Representation

Wyoming passed a suffrage bill 50 years before the 19th Amendment, but the Equality State is struggling to live up to its nickname. WSJ’s Shelby Holliday meets the women working to boost female representation. Photo illustration: Laura Kammermann




representation

Countdown to better representation of women in media


The world’s largest and longest-running longitudinal research and action initiative on gender in the news media released in New York on 2 March, where the 54th session of United Nations Commission on the Status of Women is currently on. Ammu Joseph summarises the findings.




representation

The metaphysics of representation [Electronic book] / J. Robert G. Williams.

Oxford : Oxford University Press, 2020.




representation

The inclusion calculation : why men appropriate women's representation [Electronic book] / Melody Ellis Valdini.

New York, NY : Oxford University Press, 2019.




representation

Finite Form Representations for Meijer G and Fox H Functions : Applied to Multivariate Likelihood Ratio Tests Using Mathematica®, MAXIMA and R [Electronic book] / Carlos A. Coehlo, Barry C. Arnold.

Cham : Springer, [2019]




representation

Cinema pessimism : a political theory of representation and reciprocity [Electronic book] / Joshua Foa Dienstag.

New York, NY : Oxford University Press, 2019.




representation

British and American representations of 9/11 : literature, politics and the media [Electronic book] / Oana-Celia Gheorghiu.

Cham, Switzerland : Springer Science and Business Media : Palgrave Macmillan, [2018]




representation

Group and representation theory / JD Vergados (University of Ioannina, Ioannina, Greece)

Vergados, J. D., author




representation

Reel Latinxs: representation in U.S. film and TV / Frederick Luis Aldama and Christopher González

Dewey Library - PN1995.9.H47 A43 2019




representation

Understanding Kubrick's 2001, a space odyssey: representation and interpretation / edited by James Fenwick

Hayden Library - PN1997.A22 U53 2018




representation

Affectual erasure: representations of indigenous peoples in Argentine cinema / Cynthia Margarita Tompkins

Hayden Library - PN1995.9.I49 T66 2018




representation

Queering representation: LGBTQ people and electoral politics in Canada / edited by Manon Tremblay

Dewey Library - HQ73.3.C2 Q44 2019




representation

The new slave narrative: the battle over representations of contemporary slavery / Laura T. Murphy

Dewey Library - HT869.M87 2019




representation

Seeing and saying: the language of perception and the representational view of experience / Berit Brogaard

Hayden Library - B828.45.B76 2018




representation

Pictorial appearing: image theory after representation / Krešimir Purgar

Dewey Library - B105.I47 P87 2019




representation

Smallest mimes : defaced representation and media epistemology / Paul Majkut

Majkut, Paul, author




representation

Gaming representation: race, gender, and sexuality in video games / edited by Jennifer Malkowski and Treaandrea M. Russworm

Hayden Library - GV1469.17.S63 G38 2017




representation

Mathematical topics on representations of ordered structures and utility theory: essays in honor of Professor Ghanshyam B. Mehta / Gianni Bosi, María J. Campión, Juan C. Candeal, Esteban Indurain, editors

Online Resource




representation

Inequivalent representations of canonical commutation and anti-commutation relations: representation-theoretical viewpoint for quantum phenomena / Asao Arai

Online Resource




representation

Regular, quasi-regular and induced representations of infinite-dimensional groups / Alexander V. Kosyak

Hayden Library - QA613.2.K67 2018




representation

Local representation theory and simple groups / Radha Kessar, Gunter Malle, Donna Testerman, editors

Hayden Library - QA171.L63 2018




representation

A tour of representation theory / Martin Lorenz

Barker Library - QA176.L67 2018




representation

Understanding Kubrick's 2001: a space odyssey : representation and interpretation / edited by James Fenwick