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Due to their great flexibility, nonparametric Bayes methods have proven to be a valuable tool for discovering complicated patterns in data. The term "nonparametric Bayes" suggests that these methods inherit model-free operating…

统计方法学 · 统计学 2013-04-15 Peter D. Hoff

In this paper, a parallel computing method is proposed to perform the background denoising and wheezing detection from a multi-channel recording captured during the auscultation process. The proposed system is based on a non-negative matrix…

音频与语音处理 · 电气工程与系统科学 2024-11-11 Antonio J. Muñoz-Montoro , Pablo Revuelta-Sanz , Damian Martínez-Muñoz , Juan Torre-Cruz , José Ranilla

Non-negative blind source separation (non-negative BSS), which is also referred to as non-negative matrix factorization (NMF), is a very active field in domains as different as astrophysics, audio processing or biomedical signal processing.…

机器学习 · 统计学 2014-10-27 Jérémy Rapin , Jérôme Bobin , Anthony Larue , Jean-Luc Starck

Nonnegative matrix factorization (NMF) has become a very popular technique in machine learning because it automatically extracts meaningful features through a sparse and part-based representation. However, NMF has the drawback of being…

机器学习 · 统计学 2012-12-07 Nicolas Gillis

Arsenic (As), a widespread environmental toxin, poses major health risks due to its inorganic forms (iAs), which are linked to cancer, cardiovascular disease, and endocrine disruption. Although its toxic effects have been extensively…

基因组学 · 定量生物学 2025-10-23 Sujit Silas Armstrong Suthahar , Patrick Allard

Predicting the novel effects of drugs based on information about approved drugs can be regarded as a recommendation system. Matrix factorization is one of the most used recommendation systems and various algorithms have been devised for it.…

定量方法 · 定量生物学 2023-01-16 Iori Azuma , Tadahaya Mizuno , Hiroyuki Kusuhara

We introduce a new method based on nonnegative matrix factorization, Neural NMF, for detecting latent hierarchical structure in data. Datasets with hierarchical structure arise in a wide variety of fields, such as document classification,…

机器学习 · 计算机科学 2023-03-02 Tyler Will , Runyu Zhang , Eli Sadovnik , Mengdi Gao , Joshua Vendrow , Jamie Haddock , Denali Molitor , Deanna Needell

This article is motivated by the problem of inference on interactions among chemical exposures impacting human health outcomes. Chemicals often co-occur in the environment or in synthetic mixtures and as a result exposure levels can be…

统计方法学 · 统计学 2020-01-09 Federico Ferrari , David B Dunson

Causal inference has recently gained notable attention across various fields like biology, healthcare, and environmental science, especially within explainable artificial intelligence (xAI) systems, for uncovering the causal relationships…

机器学习 · 计算机科学 2025-01-13 Xiaofeng Xiao , Khawlah Alharbi , Pengyu Zhang , Hantang Qin , Xubo Yue

Nonnegative matrix factorization (NMF) approximates a nonnegative matrix, $X$, by the product of two nonnegative factors, $WH$, where $W$ has $r$ columns and $H$ has $r$ rows. In this paper, we consider NMF using the component-wise L1 norm…

机器学习 · 计算机科学 2026-04-01 Giovanni Seraghiti , Kévin Dubrulle , Arnaud Vandaele , Nicolas Gillis

Accounting for exposure measurement errors has been recognized as a crucial problem in environmental epidemiology for over two decades. Bayesian hierarchical models offer a coherent probabilistic framework for evaluating associations…

统计方法学 · 统计学 2024-01-17 Changwoo J. Lee , Elaine Symanski , Amal Rammah , Dong Hun Kang , Philip K. Hopke , Eun Sug Park

The field of environmental epidemiology has placed an increasing emphasis on understanding the health effects of mixtures of metals, chemicals, and pollutants in recent years. Bayesian Kernel Machine Regression (BKMR) is a statistical…

Natural image statistics exhibit hierarchical dependencies across multiple scales. Representing such prior knowledge in non-factorial latent tree models can boost performance of image denoising, inpainting, deconvolution or reconstruction…

计算机视觉与模式识别 · 计算机科学 2012-07-03 Young Jun Ko , Matthias Seeger

We study statistical calibration, i.e., adjusting features of a computational model that are not observable or controllable in its associated physical system. We focus on functional calibration, which arises in many manufacturing processes…

机器学习 · 统计学 2021-04-13 Babak Farmanesh , Arash Pourhabib , Balabhaskar Balasundaram , Austin Buchanan

We address the problem of providing inference from a Bayesian perspective for parameters selected after viewing the data. We present a Bayesian framework for providing inference for selected parameters, based on the observation that…

统计计算 · 统计学 2015-03-13 Daniel Yekutieli

Nonnegative matrix factorization (NMF) is a known unsupervised data-reduction method. The principle of the common cause (PCC) is a basic methodological approach in probabilistic causality, which seeks an independent mixture model for the…

机器学习 · 计算机科学 2025-09-09 E. Khalafyan , A. E. Allahverdyan , A. Hovhannisyan

We develop Bayesian nonparametric models for spatially indexed data of mixed type. Our work is motivated by challenges that occur in environmental epidemiology, where the usual presence of several confounding variables that exhibit complex…

统计方法学 · 统计学 2014-10-17 Georgios Papageorgiou , Sylvia Richardson , Nicky Best

Non-negative matrix factorization (NMF) has become a popular method for representing meaningful data by extracting a non-negative basis feature from an observed non-negative data matrix. Some of the unique features of this method in…

最优化与控制 · 数学 2022-11-15 Sajad Fathi Hafshejani , Zahra Moaberfard

Pattern formation in biological tissues plays an important role in the development of living organisms. Since the classical work of Alan Turing, a pre-eminent way of modelling has been through reaction-diffusion mechanisms. More recently,…

偏微分方程分析 · 数学 2023-01-27 Alexey Kazarnikov , Robert Scheichl , Heikki Haario , Anna Marciniak-Czochra

Nanotechnology is a so-called key-emerging technology that opens a new world of technological innovation. The novelty of engineered nanomaterials (ENMs) raises concern over their possible adverse effect to man and the environment.…

材料科学 · 物理学 2021-01-12 Willie Peijnenburg