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The proliferation of large data sets and Bayesian inference techniques motivates demand for better data sparsification. Coresets provide a principled way of summarizing a large dataset via a smaller one that is guaranteed to match the…

机器学习 · 统计学 2020-03-04 Sebastian Claici , Aude Genevay , Justin Solomon

Topic models provide a useful tool to organize and understand the structure of large corpora of text documents, in particular, to discover hidden thematic structure. Clustering documents from big unstructured corpora into topics is an…

统计理论 · 数学 2021-07-09 Olga Klopp , Maxim Panov , Suzanne Sigalla , Alexandre Tsybakov

We present a novel Bayesian approach for high-dimensional grouped regression under sparsity. We leverage a sparse projection method that uses a sparsity-inducing map to derive an induced posterior on a lower-dimensional parameter space. Our…

统计方法学 · 统计学 2026-05-25 Samhita Pal , Subhashis Ghosal

State-space models (SSMs) are a powerful statistical tool for modelling time-varying systems via a latent state. In these models, the latent state is never directly observed. Instead, a sequence of data points related to the state are…

统计计算 · 统计学 2023-06-22 Benjamin Cox , Victor Elvira

We develop necessary and sufficient conditions and a novel provably consistent and efficient algorithm for discovering topics (latent factors) from observations (documents) that are realized from a probabilistic mixture of shared latent…

机器学习 · 计算机科学 2015-12-07 Weicong Ding , Prakash Ishwar , Venkatesh Saligrama

This article does not propose any novel algorithm or new hardware for sparsity. Instead, it aims to serve the "common good" for the increasingly prosperous Sparse Neural Network (SNN) research community. We attempt to summarize some most…

机器学习 · 计算机科学 2023-06-27 Shiwei Liu , Zhangyang Wang

The development of online algorithms to track time-varying systems has drawn a lot of attention in the last years, in particular in the framework of online convex optimization. Meanwhile, sparse time-varying optimization has emerged as a…

最优化与控制 · 数学 2020-02-03 Sophie M. Fosson

We develop a new model and algorithms for machine learning-based learning analytics, which estimate a learner's knowledge of the concepts underlying a domain, and content analytics, which estimate the relationships among a collection of…

机器学习 · 统计学 2015-01-20 Andrew S. Lan , Andrew E. Waters , Christoph Studer , Richard G. Baraniuk

We propose Sparse Neural Network architectures that are based on random or structured bipartite graph topologies. Sparse architectures provide compression of the models learned and speed-ups of computations, they can also surpass their…

机器学习 · 计算机科学 2017-06-20 Alfred Bourely , John Patrick Boueri , Krzysztof Choromonski

Variational Bayesian Inference is a popular methodology for approximating posterior distributions over Bayesian neural network weights. Recent work developing this class of methods has explored ever richer parameterizations of the…

One of the main computational and scientific challenges in the modern age is to extract useful information from unstructured texts. Topic models are one popular machine-learning approach which infers the latent topical structure of a…

机器学习 · 统计学 2018-07-20 Martin Gerlach , Tiago P. Peixoto , Eduardo G. Altmann

Topic models analyze text from a set of documents. Documents are modeled as a mixture of topics, with topics defined as probability distributions on words. Inferences of interest include the most probable topics and characterization of a…

信息检索 · 计算机科学 2021-04-19 Jason Wang , Robert E. Weiss

Top-K sparse softmax gating mixture of experts has been widely used for scaling up massive deep-learning architectures without increasing the computational cost. Despite its popularity in real-world applications, the theoretical…

机器学习 · 统计学 2024-02-27 Huy Nguyen , Pedram Akbarian , Fanqi Yan , Nhat Ho

Many decision problems in science, engineering and economics are affected by uncertain parameters whose distribution is only indirectly observable through samples. The goal of data-driven decision-making is to learn a decision from finitely…

Latent Dirichlet Allocation models discrete data as a mixture of discrete distributions, using Dirichlet beliefs over the mixture weights. We study a variation of this concept, in which the documents' mixture weight beliefs are replaced…

机器学习 · 计算机科学 2011-10-24 Philipp Hennig , David Stern , Ralf Herbrich , Thore Graepel

Traditional Relational Topic Models provide a way to discover the hidden topics from a document network. Many theoretical and practical tasks, such as dimensional reduction, document clustering, link prediction, benefit from this revealed…

机器学习 · 统计学 2015-03-31 Junyu Xuan , Jie Lu , Guangquan Zhang , Richard Yi Da Xu , Xiangfeng Luo

In underwater acoustics, shallow water environments act as modal dispersive waveguides when considering low-frequency sources. In this context, propagating signals can be described as a sum of few modal components, each of them propagating…

信号处理 · 电气工程与系统科学 2020-12-01 Clément Dorffer , Thomas Paviet-Salomon , Gilles Le Chenadec , Angélique Drémeau

A new geometrically-motivated algorithm for nonnegative matrix factorization is developed and applied to the discovery of latent "topics" for text and image "document" corpora. The algorithm is based on robustly finding and clustering…

机器学习 · 统计学 2016-11-17 Weicong Ding , Mohammad H. Rohban , Prakash Ishwar , Venkatesh Saligrama

Sparse coding--that is, modelling data vectors as sparse linear combinations of basis elements--is widely used in machine learning, neuroscience, signal processing, and statistics. This paper focuses on the large-scale matrix factorization…

机器学习 · 统计学 2010-02-11 Julien Mairal , Francis Bach , Jean Ponce , Guillermo Sapiro

Topic models and all their variants analyse text by learning meaningful representations through word co-occurrences. As pointed out by Williamson et al. (2010), such models implicitly assume that the probability of a topic to be active and…

计算与语言 · 计算机科学 2023-01-27 Kostadin Cvejoski , Ramsés J. Sánchez , César Ojeda