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Nonnegative matrix factorization (NMF) is a popular dimension reduction technique that produces interpretable decomposition of the data into parts. However, this decompostion is not generally identifiable (even up to permutation and…

机器学习 · 计算机科学 2016-04-05 W. Pan , F. Doshi-Velez

An important goal of environmental health research is to assess the risk posed by mixtures of environmental exposures. Two popular classes of models for mixtures analyses are response-surface methods and exposure-index methods.…

统计方法学 · 统计学 2025-05-01 Glen McGee , Ander Wilson , Thomas F. Webster , Brent A. Coull

Beta process is the standard nonparametric Bayesian prior for latent factor model. In this paper, we derive a structured mean-field variational inference algorithm for a beta process non-negative matrix factorization (NMF) model with…

机器学习 · 统计学 2014-12-03 Dawen Liang , Matthew D. Hoffman

We present a novel approach to ecological risk assessment by recasting the Species Sensitivity Distribution (SSD) method within a Bayesian nonparametric (BNP) framework. Widely mandated by environmental regulatory bodies globally, SSD has…

统计方法学 · 统计学 2026-02-05 Louise Alamichel , Julyan Arbel , Guillaume Kon Kam King , Igor Prünster

Bayesian Poisson Non-Negative Matrix Factorization (NMF) is widely used to model count data, including in cancer mutational signature analysis. However, standard Gibbs samplers rely on computationally expensive Poisson augmentation, and…

统计方法学 · 统计学 2026-03-31 Jenna M. Landy , Nishanth Basava , Giovanni Parmigiani

Modern spectroscopic databases provide a wealth of information about the physical processes and environments associated with astrophysical populations. Techniques such as blind source separation (BSS), in which sets of spectra are…

天体物理学 · 物理学 2009-11-13 James T. Allen , Paul C. Hewett , Vasily Belokurov , Vivienne Wild

Non-negative matrix factorization (NMF) is a prob- lem with many applications, ranging from facial recognition to document clustering. However, due to the variety of algorithms that solve NMF, the randomness involved in these algorithms,…

数值分析 · 数学 2018-12-17 Connor Sell , Jeremy Kepner

Nonnegative matrix factorization (NMF) has become a prominent technique for the analysis of image databases, text databases and other information retrieval and clustering applications. In this report, we define an exact version of NMF. Then…

数值分析 · 计算机科学 2007-09-27 Stephen A. Vavasis

Bayesian factor models are widely used for dimensionality reduction and pattern discovery in high-dimensional datasets across diverse fields. These models typically focus on imposing priors on factor loading to induce sparsity and improve…

统计方法学 · 统计学 2025-04-08 Yingjie Huang , Dafne Zorzetto , Roberta De Vito

Identifying altered pathways that are associated with specific cancer types can potentially bring a significant impact on cancer patient treatment. Accurate identification of such key altered pathways information can be used to develop…

机器学习 · 统计学 2017-12-05 Sunho Park , Tae Hyun Hwang

Diet plays a crucial role in health, and understanding the causal effects of dietary patterns is essential for informing public health policy and personalized nutrition strategies. However, causal inference in nutritional epidemiology faces…

统计方法学 · 统计学 2026-01-26 Dafne Zorzetto , Zizhao Xie , Julian Stamp , Arman Oganisian , Roberta De Vito

Somatic mutations, or alterations in DNA of a somatic cell, are key markers of cancer. In recent years, mutational signature analysis has become a prominent field of study within cancer research, commonly with Nonnegative Matrix…

定量方法 · 定量生物学 2025-07-01 Iris Lang , Jenna Landy , Giovanni Parmigiani

Nonnegative matrix factorization (NMF) is a relatively new unsupervised learning algorithm that decomposes a nonnegative data matrix into a parts-based, lower dimensional, linear representation of the data. NMF has applications in image…

机器学习 · 统计学 2020-12-08 Matthew Corsetti , Ernest Fokoué

In this article, we investigate group differences in phthalate exposure profiles using NHANES data. Phthalates are a family of industrial chemicals used in plastics and as solvents. There is increasing evidence of adverse health effects of…

统计方法学 · 统计学 2020-12-03 Arkaprava Roy , Isaac Lavine , Amy H. Herring , David B. Dunson

Nonnegative matrix factorization (NMF) is a powerful class of feature extraction techniques that has been successfully applied in many fields, namely in signal and image processing. Current NMF techniques have been limited to a…

机器学习 · 统计学 2015-01-26 Paul Honeine , Fei Zhu

Exposure assessment models are deterministic models derived from physical-chemical laws. In real workplace settings, chemical concentration measurements can be noisy and indirectly measured. In addition, inference on important parameters…

应用统计 · 统计学 2018-07-09 Nada Abdalla , Sudipto Banerjee , Gurumurthy Ramachandran , Susan Arnold

Today there are approximately 85,000 chemicals regulated under the Toxic Substances Control Act, with around 2,000 new chemicals introduced each year. It is impossible to screen all of these chemicals for potential toxic effects either via…

应用统计 · 统计学 2022-07-27 Kelly R. Moran , David Dunson , Matthew W. Wheeler , Amy H. Herring

This work proposes a new algorithm for automated and simultaneous phenotyping of multiple co-occurring medical conditions, also referred as comorbidities, using clinical notes from the electronic health records (EHRs). A basic latent factor…

机器学习 · 统计学 2016-09-21 Shalmali Joshi , Suriya Gunasekar , David Sontag , Joydeep Ghosh

Non-negative matrix factorization (NMF) is a fundamental matrix decomposition technique that is used primarily for dimensionality reduction and is increasing in popularity in the biological domain. Although finding a unique NMF is generally…

信息论 · 计算机科学 2021-08-23 Rami Nasser , Yonina C. Eldar , Roded Sharan

Bayesian matrix factorization (BMF) is a powerful tool for producing low-rank representations of matrices and for predicting missing values and providing confidence intervals. Scaling up the posterior inference for massive-scale matrices is…

机器学习 · 统计学 2019-02-28 Xiangju Qin , Paul Blomstedt , Eemeli Leppäaho , Pekka Parviainen , Samuel Kaski