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Max-stable processes have proved to be useful for the statistical modelling of spatial extremes. Several representations of max-stable random fields have been proposed in the literature. One such representation is based on a limit of…

Methodology · Statistics 2012-04-26 Richard A. Davis , Claudia Klüppelberg , Christina Steinkohl

This paper considers Bayesian multiple testing under sparsity for polynomial-tailed distributions satisfying a monotone likelihood ratio property. Included in this class of distributions are the Student's t, the Pareto, and many other…

Statistics Theory · Mathematics 2016-07-29 Xueying Tang , Ke Li , Malay Ghosh

We propose a novel extension of the Bradley-Terry model to multiplayer games and adapt a recent algorithm by Newman [1] to our model. We demonstrate the use of our proposed method on synthetic datasets and on a real dataset of games of…

We present two sets of theoretical results on the grouped lasso with overlap of Jacob, Obozinski and Vert (2009) in the linear regression setting. This method allows for joint selection of predictors in sparse regression, allowing for…

Machine Learning · Statistics 2011-11-11 Daniel Percival

In this paper we propose a Bayesian nonparametric approach to modelling sparse time-varying networks. A positive parameter is associated to each node of a network, which models the sociability of that node. Sociabilities are assumed to…

Machine Learning · Statistics 2022-04-18 Cian Naik , Francois Caron , Judith Rousseau , Yee Whye Teh , Konstantina Palla

Model sparsification in deep learning promotes simpler, more interpretable models with fewer parameters. This not only reduces the model's memory footprint and computational needs but also shortens inference time. This work focuses on…

Computer Vision and Pattern Recognition · Computer Science 2023-12-01 Richa Upadhyay , Ronald Phlypo , Rajkumar Saini , Marcus Liwicki

This paper addresses the item ranking problem with associate covariates, focusing on scenarios where the preference scores can not be fully explained by covariates, and the remaining intrinsic scores, are sparse. Specifically, we extend the…

Methodology · Statistics 2024-07-15 Jianqing Fan , Jikai Hou , Mengxin Yu

Fitness functions map large combinatorial spaces of biological sequences to properties of interest. Inferring these multimodal functions from experimental data is a central task in modern protein engineering. Global epistasis models are an…

Populations and Evolution · Quantitative Biology 2024-10-17 David H. Brookes , Jakub Otwinowski , Sam Sinai

A variety of machine learning tasks---e.g., matrix factorization, topic modelling, and feature allocation---can be viewed as learning the parameters of a probability distribution over bipartite graphs. Recently, a new class of models for…

Machine Learning · Statistics 2017-12-07 Victor Veitch , Ekansh Sharma , Zacharie Naulet , Daniel M. Roy

We consider the problem of sparse variable selection in nonparametric additive models, with the prior knowledge of the structure among the covariates to encourage those variables within a group to be selected jointly. Previous works either…

Machine Learning · Computer Science 2012-06-22 Junming Yin , Xi Chen , Eric Xing

Recently, penalties promoting signals that are sparse within and across groups have been proposed. In this letter, we propose a generalization that allows to encode more intricate dependencies within groups. However, this complicates the…

Optimization and Control · Mathematics 2018-02-14 İlker Bayram

This paper discusses predictive densities under the Kullback--Leibler loss for high-dimensional Poisson sequence models under sparsity constraints. Sparsity in count data implies zero-inflation. We present a class of Bayes predictive…

Statistics Theory · Mathematics 2020-09-08 Keisuke Yano , Ryoya Kaneko , Fumiyasu Komaki

We explore the top-$K$ rank aggregation problem. Suppose a collection of items is compared in pairs repeatedly, and we aim to recover a consistent ordering that focuses on the top-$K$ ranked items based on partially revealed preference…

Machine Learning · Computer Science 2016-03-15 Minje Jang , Sunghyun Kim , Changho Suh , Sewoong Oh

Structured sparsity has recently emerged in statistics, machine learning and signal processing as a promising paradigm for learning in high-dimensional settings. All existing methods for learning under the assumption of structured sparsity…

Machine Learning · Statistics 2015-09-16 Nino Shervashidze , Francis Bach

This paper focuses on the development of novel greedy techniques for distributed learning under sparsity constraints. Greedy techniques have widely been used in centralized systems due to their low computational requirements and at the same…

Information Theory · Computer Science 2015-06-23 Symeon Chouvardas , Gerasimos Mileounis , Nicholas Kalouptsidis , Sergios Theodoridis

We consider the problem of estimating the probability matrix governing a tournament or linkage in graphs from incomplete observations, under the assumption that the probability matrix satisfies natural monotonicity constraints after being…

Statistics Theory · Mathematics 2017-10-05 Sabyasachi Chatterjee , Sumit Mukherjee

We consider a non-projective class of inhomogeneous random graph models with interpretable parameters and a number of interesting asymptotic properties. Using the results of Bollob\'as et al. [2007], we show that i) the class of models is…

Machine Learning · Statistics 2018-10-04 Juho Lee , Lancelot F. James , Seungjin Choi , François Caron

We construct novel examples of finitely generated groups that exhibit seemingly-contradicting probabilistic behaviors with respect to Burnside laws. We construct a finitely generated group that satisfies a Burnside law, namely a law of the…

Group Theory · Mathematics 2026-04-30 Gil Goffer , Be'eri Greenfeld , Alexander Yu. Olshanskii

A general structural equation model is fitted on a panel data set that consists of $I$ correlated samples. The correlated samples could be data from correlated populations or correlated observations from occasions of panel data. We consider…

Statistics Theory · Mathematics 2007-06-13 Savas Papadopoulos , Yasuo Amemiya

A recent article on generalised linear mixed model asymptotics, Jiang et al. (2022), derived the rates of convergence for the asymptotic variances of maximum likelihood estimators. If $m$ denotes the number of groups and $n$ is the average…

Statistics Theory · Mathematics 2023-04-03 Luca Maestrini , Aishwarya Bhaskaran , Matt P. Wand