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Given a union of non-linear manifolds, non-linear subspace clustering or manifold clustering aims to cluster data points based on manifold structures and also learn to parameterize each manifold as a linear subspace in a feature space. Deep…

Machine Learning · Computer Science 2022-01-26 Zengyi Li , Yubei Chen , Yann LeCun , Friedrich T. Sommer

Machine Learning (ML) algorithms are used to train computers to perform a variety of complex tasks and improve with experience. Computers learn how to recognize patterns, make unintended decisions, or react to a dynamic environment. Certain…

Cryptography and Security · Computer Science 2013-06-20 Giuseppe Ateniese , Giovanni Felici , Luigi V. Mancini , Angelo Spognardi , Antonio Villani , Domenico Vitali

As machine learning technology gets applied to actual products and solutions, new challenges have emerged. Models unexpectedly fail to generalize to small changes in the distribution, tend to be confident on novel data they have never seen,…

Machine Learning · Computer Science 2023-10-13 Bálint Mucsányi , Michael Kirchhof , Elisa Nguyen , Alexander Rubinstein , Seong Joon Oh

Topic modeling is a technique for organizing and extracting themes from large collections of unstructured text. Non-negative matrix factorization (NMF) is a common unsupervised approach that decomposes a term frequency-inverse document…

Machine Learning · Computer Science 2024-07-30 Selma Wanna , Ryan Barron , Nick Solovyev , Maksim E. Eren , Manish Bhattarai , Kim Rasmussen , Boian S. Alexandrov

We give an explicit algorithm and source code for constructing risk models based on machine learning techniques. The resultant covariance matrices are not factor models. Based on empirical backtests, we compare the performance of these…

Portfolio Management · Quantitative Finance 2019-04-10 Zura Kakushadze , Willie Yu

Machine learning (ML) has revolutionized medical prognostics by integrating advanced algorithms with clinical data to enhance disease prediction, risk assessment, and patient outcome forecasting. This comprehensive review critically…

Machine Learning · Computer Science 2024-08-06 Michael Fascia

Nonnegative matrix factorization (NMF) seeks a low-rank approximation $X \approx UV^T$ with nonnegative factors and is commonly solved using interior methods that enforce feasibility throughout optimization. We show that such…

Machine Learning · Computer Science 2026-05-20 Qiujing Lu , Tonmoy Monsoor , Ehsan Ebrahimzadeh , Kartik Sharma , Vwani Roychowdhury

Recently, many works have demonstrated that Symmetric Non-negative Matrix Factorization~(SymNMF) enjoys a great superiority for various clustering tasks. Although the state-of-the-art algorithms for SymNMF perform well on synthetic data,…

Machine Learning · Computer Science 2022-05-27 Mingjie Li , Hao Kong , Zhouchen Lin

The rise of algorithmic decision-making has spawned much research on fair machine learning (ML). Financial institutions use ML for building risk scorecards that support a range of credit-related decisions. Yet, the literature on fair ML in…

Machine Learning · Statistics 2022-06-20 Nikita Kozodoi , Johannes Jacob , Stefan Lessmann

We examine machine learning and factor-based portfolio optimization. We find that factors based on autoencoder neural networks exhibit a weaker relationship with commonly used characteristic-sorted portfolios than popular dimensionality…

Portfolio Management · Quantitative Finance 2021-07-30 Thomas Conlon , John Cotter , Iason Kynigakis

Nonnegative matrix factorization (NMF) has been successfully applied to many areas for classification and clustering. Commonly-used NMF algorithms mainly target on minimizing the $l_2$ distance or Kullback-Leibler (KL) divergence, which may…

Information Retrieval · Computer Science 2014-10-07 Le Li , Jianjun Yang , Yang Xu , Zhen Qin , Honggang Zhang

International trade policies have recently garnered attention for limiting cross-border exchange of essential goods (e.g. steel, aluminum, soybeans, and beef). Since trade critically affects employment and wages, predicting future patterns…

Econometrics · Economics 2019-10-09 Feras Batarseh , Munisamy Gopinath , Ganesh Nalluru , Jayson Beckman

Multi-view clustering (MVC) based on non-negative matrix factorization (NMF) and its variants have received a huge amount of attention in recent years due to their advantages in clustering interpretability. However, existing NMF-based…

Machine Learning · Computer Science 2023-03-30 Jing Li , Quanxue Gao , Qianqian Wang , Wei Xia , Xinbo Gao

Non-negative matrix factorization (NMF) is a key technique for feature extraction and widely used in source separation. However, existing algorithms may converge to poor local minima, or to one of several minima with similar objective value…

Machine Learning · Computer Science 2024-10-30 Youdong Guo , Timothy E. Holy

We use machine learning (ML) to infer stress and plastic flow rules using data from repre- sentative polycrystalline simulations. In particular, we use so-called deep (multilayer) neural networks (NN) to represent the two response…

Computational Physics · Physics 2018-09-05 Reese E. Jones , Jeremy A. Templeton , Clay M. Sanders , Jakob T. Ostien

Non-negative matrix factorization with transform learning (TL-NMF) is a recent idea that aims at learning data representations suited to NMF. In this work, we relate TL-NMF to the classical matrix joint-diagonalization (JD) problem. We show…

Machine Learning · Computer Science 2022-09-23 Sixin Zhang , Emmanuel Soubies , Cédric Févotte

Matrix factorization methods are linear models, with limited capability to model complex relations. In our work, we use tropical semiring to introduce non-linearity into matrix factorization models. We propose a method called Sparse…

Machine Learning · Computer Science 2021-04-20 Amra Omanović , Hilal Kazan , Polona Oblak , Tomaž Curk

In an era of escalating cyber threats, malware poses significant risks to individuals and organizations, potentially leading to data breaches, system failures, and substantial financial losses. This study addresses the urgent need for…

Cryptography and Security · Computer Science 2025-01-28 Marzieh Esnaashari , Nima Moradi

Tensor Networks have emerged as a prominent alternative to neural networks for addressing Machine Learning challenges in foundational sciences, paving the way for their applications to real-life problems. This paper introduces tn4ml, a…

In this paper we consider the Nonnegative Matrix Factorization (NMF) problem: given an (elementwise) nonnegative matrix $V \in \R_+^{m\times n}$ find, for assigned $k$, nonnegative matrices $W\in\R_+^{m\times k}$ and $H\in\R_+^{k\times n}$…

Optimization and Control · Mathematics 2007-05-23 Lorenzo Finesso , Peter Spreij