A plethysm formula for p\sb µ(\underline x)\circ h\sb \lambda(\underline x)

A previous paper by the author \ref["A new plethysm formula for symmetric functions", J. Algebraic Combin., submitted] expresses the plethysm of the power sum symmetric function and the complete symmetric function, $p_µ(x)\circ h_a(x)$, as a sum of Schur functions with coefficients that are roots of unity. The paper under review extends this result to $p_µ(x)\circ h_\lambda(x)$, where the complete symmetric function is indexed by a partition rather than an integer. Specifically, the author proves that for $µ$ a partition of $b$ and $\lambda$ a partition of $a$ with length $t$, $p_µ(x)\circ h_\lambda(x)=\sum_T\omega^{\operatorname{maj}_{µ^t}(T)} s_{\operatorname{sh}(T)}(x)$, where the sum is over semistandard tableaux of weight $\lambda_1^b\lambda_2^b\cdots\lambda_t^b$ and $\omega^{\operatorname{maj}_{µ^t}}(T)$ is a root of unity. The proof is inductive and employs an intermediate result proved using the jeu de taquin

How Priming Innocence Influences Public Opinion on Police Misconduct and False Convictions: A Research Note

Issues of innocence have become more salient to the public in recent years, including the problem of police misconduct. However, citizens also tend to be supportive of the police, perceiving them as ethical, honest, and trustworthy. Using a survey experiment with a nationally representative sample, we explore the degree to which public opinion toward police misconduct is influenced by priming respondents on the issue of innocence. We find that reminding citizens of these issues increases their willingness to admit police misconduct that contributes to this problem by roughly 7 percentage points overall. Moreover, this effect is driven by conservatives and, to a lesser extent, moderates, presumably because liberals do not need priming. In contrast, the efficacy of the prime was not affected (i.e., moderated) by the race of the respondent. We place these results in the context of the current debate regarding police use of force as well as the ideological divide in rhetoric surrounding the recent string of high-profile police shootings

Neural Networks Compression for Language Modeling

In this paper, we consider several compression techniques for the language modeling problem based on recurrent neural networks (RNNs). It is known that conventional RNNs, e.g, LSTM-based networks in language modeling, are characterized with either high space complexity or substantial inference time. This problem is especially crucial for mobile applications, in which the constant interaction with the remote server is inappropriate. By using the Penn Treebank (PTB) dataset we compare pruning, quantization, low-rank factorization, tensor train decomposition for LSTM networks in terms of model size and suitability for fast inference.Comment: Keywords: LSTM, RNN, language modeling, low-rank factorization, pruning, quantization. Published by Springer in the LNCS series, 7th International Conference on Pattern Recognition and Machine Intelligence, 201

Magneto-gravity waves and the heating of the solar corona

Magneto-gravity waves and heating of solar coron

Understanding perceptions of citizen demeanour: using an experimental design to understand the impact of encounter and observer characteristics

Systematic social observations of police-citizen encounters have revealed that citizen demeanour is an important predictor of outcomes (e.g. arrests and searches). Drawing from research on stereotypes and impression formation, we examine whether characteristics of the encounter and/or observer affect how respondents perceive demeanour. We exposed undergraduates (n = 255) to a randomly rotated series of five between-subjects design, in which characteristics of the encounter (citizen race, gender, or age; officer gender; neighbourhood context) and the level of demeanour displayed were manipulated. OLS regression was used to examine how these manipulations interact to produce our dependent variable – perceptions of demeanour – and whether characteristics of the observer matter for perceptions, independent of the manipulations. We find that some aspects of the encounter, specifically officer gender and the socio-economic context of the neighbourhood, influence perceptions of demeanour. Previous victimisation, observers’ race, and perceptions of the police also impact how demeanour is perceived. These findings suggest that understanding the impact of citizen demeanour on police-citizen encounters requires consideration of encounter and observer characteristics

Who Will Help Children? Building Brain Regimes

“Why can’t we organize public–private partnerships to protect and to nurture the brains of our children?” In this Perspective, William Tate IV makes the case for constructing brain regimes—public–private partnerships designed to nurture and support the healthy development of children. Illuminating the ways in which communities and schools shape individual outcomes in Missouri, he offers seven evidence-based recommendations for fostering brain development and positive outcomes. Who Will Help Children? Building Regional Brain Regimes is based in part on “Beyond Education Triage: Building Brain Regimes in Metropolitan America,” Chapter 11 in Facing Segregation: Housing Policy Solutions for a Stronger Society. This Perspective is adapted from an address given during Facing Segregation: Building Strategies in Every Neighborhood, the 2019 annual conference of the Metropolitan St. Louis Equal Housing and Opportunity Council, on April 12, 2019, at Central Baptist Church, St. Louis, Missouri. The Perspective is presented through a partnership between the Center for Social Development and the council