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Many biological learning systems such as the mushroom body, hippocampus, and cerebellum are built from sparsely connected networks of neurons. For a new understanding of such networks, we study the function spaces induced by sparse random…

神经与进化计算 · 计算机科学 2022-02-22 Kameron Decker Harris

Factor analysis is a statistical technique that explains correlations among observed random variables with the help of a smaller number of unobserved factors. In traditional full factor analysis, each observed variable is influenced by…

统计理论 · 数学 2024-12-09 Mathias Drton , Alexandros Grosdos , Irem Portakal , Nils Sturma

We give algorithms for estimating the expectation of a given real-valued function $\phi:X\to {\bf R}$ on a sample drawn randomly from some unknown distribution $D$ over domain $X$, namely ${\bf E}_{{\bf x}\sim D}[\phi({\bf x})]$. Our…

机器学习 · 计算机科学 2017-08-29 Vitaly Feldman

Active learning enables efficient model training by leveraging interactions between machine learning agents and human annotators. We study and propose a novel framework that formulates batch active learning from the sparse approximation's…

机器学习 · 计算机科学 2022-11-08 Maohao Shen , Bowen Jiang , Jacky Yibo Zhang , Oluwasanmi Koyejo

The generalized approximate message passing (GAMP) algorithm under the Bayesian setting shows advantage in recovering under-sampled sparse signals from corrupted observations. Compared to conventional convex optimization methods, it has a…

信息论 · 计算机科学 2017-01-12 Shuai Huang , Trac D. Tran

We study parameter estimation in Nonlinear Factor Analysis (NFA) where the generative model is parameterized by a deep neural network. Recent work has focused on learning such models using inference (or recognition) networks; we identify a…

机器学习 · 统计学 2017-10-18 Rahul G. Krishnan , Dawen Liang , Matthew Hoffman

In an era of unprecedented deluge of (mostly unstructured) data, graphs are proving more and more useful, across the sciences, as a flexible abstraction to capture complex relationships between complex objects. One of the main challenges…

无序系统与神经网络 · 物理学 2016-10-17 Alaa Saade

This paper examines a general class of noisy matrix completion tasks where the goal is to estimate a matrix from observations obtained at a subset of its entries, each of which is subject to random noise or corruption. Our specific focus is…

机器学习 · 统计学 2016-11-18 Akshay Soni , Swayambhoo Jain , Jarvis Haupt , Stefano Gonella

High-dimensional real-world systems can often be well characterized by a small number of simultaneous low-complexity interactions. The analysis of variance (ANOVA) decomposition and the anchored decomposition are typical techniques to find…

数值分析 · 数学 2024-03-29 Fatima Antarou Ba , Oleh Melnyk , Christian Wald , Gabriele Steidl

We assume the direct sum <A> o <B> for the signal subspace. As a result of post- measurement, a number of operational contexts presuppose the a priori knowledge of the LB -dimensional "interfering" subspace <B> and the goal is to estimate…

应用统计 · 统计学 2017-04-17 Guillaume Bouleux , Rémy Boyer

This paper focuses on detection tasks in information extraction, where positive instances are sparsely distributed and models are usually evaluated using F-measure on positive classes. These characteristics often result in deficient…

计算与语言 · 计算机科学 2018-05-29 Hongyu Lin , Yaojie Lu , Xianpei Han , Le Sun

The observations in many applications consist of counts of discrete events, such as photons hitting a detector, which cannot be effectively modeled using an additive bounded or Gaussian noise model, and instead require a Poisson noise…

最优化与控制 · 数学 2011-10-13 Zachary T. Harmany , Roummel F. Marcia , Rebecca M. Willett

We formulate sparse support recovery as a salient set identification problem and use information-theoretic analyses to characterize the recovery performance and sample complexity. We consider a very general model where we are not restricted…

信息论 · 计算机科学 2014-03-14 Cem Aksoylar , Venkatesh Saligrama

In the co-sparse analysis model a set of filters is applied to a signal out of the signal class of interest yielding sparse filter responses. As such, it may serve as a prior in inverse problems, or for structural analysis of signals that…

机器学习 · 计算机科学 2015-10-07 Matthias Seibert , Julian Wörmann , Rémi Gribonval , Martin Kleinsteuber

The concepts of sparsity, and regularised estimation, have proven useful in many high-dimensional statistical applications. Dynamic factor models (DFMs) provide a parsimonious approach to modelling high-dimensional time series, however, it…

统计方法学 · 统计学 2023-03-22 Luke Mosley , Tak-Shing T. Chan , Alex Gibberd

We study functional regression with random subgaussian design and real-valued response. The focus is on the problems in which the regression function can be well approximated by a functional linear model with the slope function being…

统计理论 · 数学 2014-09-16 Vladimir Koltchinskii , Stanislav Minsker

Given a CNF formula F on n variables, the problem of model counting or #SAT is to compute the number of satisfying assignments of F . Model counting is a fundamental but hard problem in computer science with varied applications. Recent…

数据结构与算法 · 计算机科学 2020-05-01 Kuldeep S. Meel , S. Akshay

Sparse additive modeling is a class of effective methods for performing high-dimensional nonparametric regression. This paper develops a sparse additive model focused on estimation of treatment effect-modification with simultaneous…

统计方法学 · 统计学 2020-06-02 Hyung Park , Eva Petkova , Thaddeus Tarpey , R. Todd Ogden

Sharpness-aware Minimization (SAM) has been proposed recently to improve model generalization ability. However, SAM calculates the gradient twice in each optimization step, thereby doubling the computation costs compared to stochastic…

计算机视觉与模式识别 · 计算机科学 2024-03-15 Jiaxin Deng , Junbiao Pang , Baochang Zhang , Tian Wang

Sparse feature selection is necessary when we fit statistical models, we have access to a large group of features, don't know which are relevant, but assume that most are not. Alternatively, when the number of features is larger than the…

应用统计 · 统计学 2017-04-04 Emiliano Diaz