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An elementary approach to the construction of Coxeter group representations is presented.

Representation Theory · Mathematics 2007-05-23 Ron M. Adin , Francesco Brenti , Yuval Roichman

This paper presents research on enhancements to Large Language Models (LLMs) through the addition of diversity in its generated outputs. Our study introduces a configuration of multiple LLMs which demonstrates the diversities capable with a…

Computation and Language · Computer Science 2025-08-05 Purva Prasad Gosavi , Vaishnavi Murlidhar Kulkarni , Alan F. Smeaton

I give a brief overview of fault-tolerant quantum computation, with an emphasis on recent work and open questions.

Quantum Physics · Physics 2007-08-31 Daniel Gottesman

Convolutional neural network (CNN) models have seen advanced improvements in performance in various domains, but lack of interpretability is a major barrier to assurance and regulation during operation for acceptance and deployment of…

Machine Learning · Computer Science 2022-11-02 Wenli Yang , Guan Huang , Renjie Li , Jiahao Yu , Yanyu Chen , Quan Bai , Beyong Kang

We introduce the notion of a restricted exchangeable partition of $\mathbb{N}$. We obtain integral representations, consider associated fragmentations, embeddings into continuum random trees and convergence to such limit trees. In…

Probability · Mathematics 2012-11-12 Bo Chen , Matthias Winkel

Graph clustering groups entities -- the vertices of a graph -- based on their similarity, typically using a complex distance function over a large number of features. Successful integration of clustering approaches in automated…

Machine Learning · Statistics 2020-02-03 Sandhya Saisubramanian , Sainyam Galhotra , Shlomo Zilberstein

Regulatory interactions between genes show a large amount of cross-species variability, even when the underlying functions are conserved: There are many ways to achieve the same function. Here we investigate the ability of regulatory…

Molecular Networks · Quantitative Biology 2015-05-13 Franck Stauffer , Johannes Berg

We construct the HNN extension of discrete quantum groups, we study their representation theory and we show that an HNN extension of amenable discrete quantum groups is K-amenable.

Operator Algebras · Mathematics 2012-04-17 Pierre Fima

Semantic Heterogeneity is conventionally understood as the existence of variance in the representation of a target reality when modelled, by independent parties, in different databases, schemas and/ or data. We argue that the mere encoding…

Artificial Intelligence · Computer Science 2022-07-05 Fausto Giunchiglia , Mayukh Bagchi

Nowadays, neural network (NN) and deep learning (DL) techniques are widely adopted in many applications, including recommender systems. Given the sparse and stochastic nature of collaborative filtering (CF) data, recent works have…

Information Retrieval · Computer Science 2024-07-03 Giuseppe Serra , Peter Tino , Zhao Xu , Xin Yao

Learning distributed sentence representations remains an interesting problem in the field of Natural Language Processing (NLP). We want to learn a model that approximates the conditional latent space over the representations of a logical…

Computation and Language · Computer Science 2018-03-08 Yikang Shen , Shawn Tan , Chin-Wei Huang , Aaron Courville

We introduce a general contagion-like model for competing opinions that includes dynamic resistance to alternative opinions. We show that this model can describe candidate vote distributions, spatial vote correlations, and a slow approach…

Physics and Society · Physics 2016-03-08 Keith A. Burghardt , William Rand , Michelle Girvan

We present an interpretable neural network approach to predicting and understanding politeness in natural language requests. Our models are based on simple convolutional neural networks directly on raw text, avoiding any manual…

Computation and Language · Computer Science 2016-10-11 Malika Aubakirova , Mohit Bansal

Representations are internal models of the environment that can provide guidance to a behaving agent, even in the absence of sensory information. It is not clear how representations are developed and whether or not they are necessary or…

Neurons and Cognition · Quantitative Biology 2013-08-07 Lars Marstaller , Arend Hintze , Christoph Adami

Let $F$ be a local field and $E/F$ be a separable extension of degree $n$. Regard $T=\text{Res}_{E/F} \mathbb{G}_m$ as an elliptic maximal torus of $G=\mathrm{GL}_n$. We can construct an admissible embedding of L-groups…

Representation Theory · Mathematics 2013-03-13 Geo Kam-Fai Tam

Pretrained contextualized text encoders are now a staple of the NLP community. We present a survey on language representation learning with the aim of consolidating a series of shared lessons learned across a variety of recent efforts.…

Computation and Language · Computer Science 2020-10-05 Patrick Xia , Shijie Wu , Benjamin Van Durme

While Null Hypothesis Significance Testing (NHST) remains a widely used statistical tool, it suffers from several shortcomings in its common usage, such as conflating statistical and practical significance, the formulation of inappropriate…

We leverage probabilistic models of neural representations to investigate how residual networks fit classes. To this end, we estimate class-conditional density models for representations learned by deep ResNets. We then use these models to…

Machine Learning · Computer Science 2022-12-02 Michał Jamroż , Marcin Kurdziel

Foundation models learn highly transferable representations through large-scale pretraining on diverse data. An increasing body of research indicates that these representations exhibit a remarkable degree of similarity across architectures…

Artificial Intelligence · Computer Science 2025-10-08 Jianglin Lu , Hailing Wang , Yi Xu , Yizhou Wang , Kuo Yang , Yun Fu

The widespread adoption of Machine Learning systems, especially in more decision-critical applications such as criminal sentencing and bank loans, has led to increased concerns about fairness implications. Algorithms and metrics have been…

Machine Learning · Computer Science 2023-08-15 Usman Gohar , Lu Cheng