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We develop a unified and systematic framework for performing online nonnegative matrix factorization under a wide variety of important divergences. The online nature of our algorithm makes it particularly amenable to large-scale data. We…

Machine Learning · Statistics 2016-08-17 Renbo Zhao , Vincent Y. F. Tan , Huan Xu

The selection of most informative and discriminative features from high-dimensional data has been noticed as an important topic in machine learning and data engineering. Using matrix factorization-based techniques such as nonnegative matrix…

Machine Learning · Computer Science 2022-10-04 Amir Moslemi , Arash Ahmadian

We present a novel game-theoretic formulation of Non-Negative Matrix Factorization (NNMF), a popular data-analysis method with many scientific and engineering applications. The game-theoretic formulation is shown to have favorable scaling…

Computer Science and Game Theory · Computer Science 2021-04-13 Satpreet H. Singh

We propose an efficient distributed out-of-memory implementation of the Non-negative Matrix Factorization (NMF) algorithm for heterogeneous high-performance-computing (HPC) systems. The proposed implementation is based on prior work on…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-14 Ismael Boureima , Manish Bhattarai , Maksim Eren , Erik Skau , Philip Romero , Stephan Eidenbenz , Boian Alexandrov

In this paper, we study a privacy filter design problem for a sequence of sensor measurements whose joint probability density function (p.d.f.) depends on a private parameter. To ensure parameter privacy, we propose a filter design…

Systems and Control · Electrical Eng. & Systems 2021-05-25 Ehsan Nekouei , Henrik Sandberg , Mikael Skoglund , Karl H. Johansson

The widespread deployment of surveillance cameras for facial recognition gives rise to many privacy concerns. This study proposes a privacy-friendly alternative to large scale facial recognition. While there are multiple techniques to…

Computer Vision and Pattern Recognition · Computer Science 2021-01-28 Mattijs Baert , Sam Leroux , Pieter Simoens

Increasingly more attention is paid to the privacy in online applications due to the widespread data collection for various analysis purposes. Sensitive information might be mined from the raw data during the analysis, and this led to a…

Cryptography and Security · Computer Science 2015-11-23 Taeho Jung , Xiang-Yang Li , Lan Zhang

This paper describes algorithms for nonnegative matrix factorization (NMF) with the beta-divergence (beta-NMF). The beta-divergence is a family of cost functions parametrized by a single shape parameter beta that takes the Euclidean…

Machine Learning · Computer Science 2011-03-09 Cédric Févotte , Jérôme Idier

Over the past few years, there has been a considerable spread of microarray technology in many biological patterns, particularly in those pertaining to cancer diseases like leukemia, prostate, colon cancer, etc. The primary bottleneck that…

Quantitative Methods · Quantitative Biology 2020-07-20 Parth Patel , Kalpdrum Passi , Chakresh Kumar Jain

We propose a new computationally efficient privacy-preserving identification framework based on layered sparse coding. The key idea of the proposed framework is a sparsifying transform learning with ambiguization, which consists of a…

Information Theory · Computer Science 2018-06-25 Behrooz Razeghi , Slava Voloshynovskiy , Sohrab Ferdowsi , Dimche Kostadinov

Designing a data sharing mechanism without sacrificing too much privacy can be considered as a game between data holders and malicious attackers. This paper describes a compressive adversarial privacy framework that captures the trade-off…

Machine Learning · Computer Science 2019-01-28 Xiao Chen , Peter Kairouz , Ram Rajagopal

Federated learning with differential privacy, or private federated learning, provides a strategy to train machine learning models while respecting users' privacy. However, differential privacy can disproportionately degrade the performance…

Machine Learning · Computer Science 2022-04-18 Borja Rodríguez-Gálvez , Filip Granqvist , Rogier van Dalen , Matt Seigel

Nonnegative matrix factorization (NMF) factorizes a non-negative matrix into product of two non-negative matrices, namely a signal matrix and a mixing matrix. NMF suffers from the scale and ordering ambiguities. Often, the source signals…

Machine Learning · Computer Science 2015-05-05 Nirav Bhatt , Arun Ayyar

Differential privacy is a leading protection setting, focused by design on individual privacy. Many applications, in medical / pharmaceutical domains or social networks, rather posit privacy at a group level, a setting we call integral…

Machine Learning · Statistics 2019-07-04 Hisham Husain , Zac Cranko , Richard Nock

Matrix factorization is an important mathematical problem encountered in the context of dictionary learning, recommendation systems and machine learning. We introduce a new `decimation' scheme that maps it to neural network models of…

Disordered Systems and Neural Networks · Physics 2023-07-12 Francesco Camilli , Marc Mézard

This paper describes a new algorithm for computing Nonnegative Low Rank Matrix (NLRM) approximation for nonnegative matrices. Our approach is completely different from classical nonnegative matrix factorization (NMF) which has been studied…

Optimization and Control · Mathematics 2020-06-18 Guang-Jing Song , Michael Kwok-Po Ng

Linear programming is a fundamental tool in a wide range of decision systems. However, without privacy protections, sharing the solution to a linear program may reveal information about the underlying data used to formulate it, which may be…

Optimization and Control · Mathematics 2025-11-11 Alexander Benvenuti , Brendan Bialy , Miriam Dennis , Matthew Hale

Nonnegative matrix factorization (NMF) with group sparsity constraints is formulated as a probabilistic graphical model and, assuming some observed data have been generated by the model, a feasible variational Bayesian algorithm is derived…

Computer Vision and Pattern Recognition · Computer Science 2014-05-28 Ivan Ivek

Matrix factorization models are the core of current commercial collaborative filtering Recommender Systems. This paper tested six representative matrix factorization models, using four collaborative filtering datasets. Experiments have…

Information Retrieval · Computer Science 2024-10-28 Jesús Bobadilla , Jorge Dueñas-Lerín , Fernando Ortega , Abraham Gutierrez

In this paper we explore avenues for improving the reliability of dimensionality reduction methods such as Non-Negative Matrix Factorization (NMF) as interpretive exploratory data analysis tools. We first explore the difficulties of the…

Artificial Intelligence · Computer Science 2009-04-22 Nikolaos Vasiloglou , Alexander G. Gray , David V. Anderson