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With the recent success of representation learning methods, which includes deep learning as a special case, there has been considerable interest in developing representation learning techniques that can incorporate known physical…

Machine Learning · Computer Science 2021-09-10 Harsha Vardhan Tetali , Joel B. Harley , Benjamin D. Haeffele

We propose a unified framework to speed up the existing stochastic matrix factorization (SMF) algorithms via variance reduction. Our framework is general and it subsumes several well-known SMF formulations in the literature. We perform a…

Machine Learning · Statistics 2017-05-23 Renbo Zhao , William B. Haskell , Jiashi Feng

The matrix factorization (MF) technique has been widely adopted for solving the rating prediction problem in recommender systems. The MF technique utilizes the latent factor model to obtain static user preferences (user latent vectors) and…

Social and Information Networks · Computer Science 2015-10-20 Yung-Yin Lo , Wanjiun Liao , Cheng-Shang Chang

The increasing size of transformer-based models in NLP makes the question of compressing them important. In this work, we present a comprehensive analysis of factorization based model compression techniques. Specifically, we focus on…

Computation and Language · Computer Science 2024-06-18 Ashim Gupta , Sina Mahdipour Saravani , P. Sadayappan , Vivek Srikumar

The factorial moments analyses are performed to study the scaling properties of the dynamical fluctuations of contacts and nodes in temporal networks based on empirical data sets. The intermittent behaviors are observed in the fluctuations…

Physics and Society · Physics 2015-12-10 Liping Chi , Chunbin Yang

In recent years, a number of methods have been developed for the dimension reduction and decomposition of multiple linked high-content data matrices. Typically these methods assume that just one dimension, rows or columns, is shared among…

Methodology · Statistics 2020-02-10 Michael J. O'Connell , Eric F. Lock

Structural transformation, the shift from agrarian economies to more diversified industrial and service-based systems, is a key driver of economic development. However, in low- and middle-income countries (LMICs), data scarcity and…

Applications · Statistics 2025-10-02 Ronald Katende

Statistical inference for sparse covariance matrices is crucial to reveal dependence structure of large multivariate data sets, but lacks scalable and theoretically supported Bayesian methods. In this paper, we propose beta-mixture…

Statistics Theory · Mathematics 2021-01-13 Kyoungjae Lee , Seongil Jo , Jaeyong Lee

In this paper, we propose a parametrised factor that enables inference on Gaussian networks where linear dependencies exist among the random variables. Our factor representation is effectively a generalisation of traditional Gaussian…

Machine Learning · Computer Science 2022-08-05 J. C. Schoeman , C. E. van Daalen , J. A. du Preez

Understanding cognitive processes in major depressive disorder (MDD) often relies on behavioral tasks, which are typically analyzed separately, overlooking potential correlations and shared latent structure. To address this limitation, we…

Methodology · Statistics 2026-05-26 Yuan Bian , Yuanjia Wang , Xingche Guo

Data-driven evolutionary optimization has witnessed great success in solving complex real-world optimization problems. However, existing data-driven optimization algorithms require that all data are centrally stored, which is not always…

Neural and Evolutionary Computing · Computer Science 2021-02-17 Jinjin Xu , Yaochu Jin , Wenli Du , Sai Gu

Mixtures of factor analyzers (MFA) provide a powerful tool for modelling high-dimensional datasets. In recent years, several generalizations of MFA have been developed where the normality assumption of the factors and/or of the errors was…

Methodology · Statistics 2018-10-29 Sharon X. Lee , Tsung-I Lin , Geoffrey J. McLachlan

In various web applications like targeted advertising and recommender systems, the available categorical features (e.g., product type) are often of great importance but sparse. As a widely adopted solution, models based on Factorization…

Machine Learning · Computer Science 2019-11-19 Tong Chen , Hongzhi Yin , Quoc Viet Hung Nguyen , Wen-Chih Peng , Xue Li , Xiaofang Zhou

Shrinkage methods are frequently used to improve the precision of least squares estimators of fixed effects. However, widely used shrinkage estimators guarantee improved precision only under strong distributional assumptions. I develop an…

Econometrics · Economics 2025-09-09 Soonwoo Kwon

Factorization machines (FM) are a popular model class to learn pairwise interactions by a low-rank approximation. Different from existing FM-based approaches which use a fixed rank for all features, this paper proposes a Rank-Aware FM…

Machine Learning · Computer Science 2019-05-21 Xiaoshuang Chen , Yin Zheng , Jiaxing Wang , Wenye Ma , Junzhou Huang

We study processes with unstable particles in intermediate time-like states. It is shown that the amplitudes squared of such processes factor exactly in the framework of the model of unstable particles with continuous masses. Decay widths…

High Energy Physics - Phenomenology · Physics 2013-03-22 V. Kuksa , N. Volchanskiy

Dynamic graph clustering aims to detect and track time-varying clusters in dynamic graphs, revealing the evolutionary mechanisms of complex real-world dynamic systems. Matrix factorization-based methods are promising approaches for this…

Machine Learning · Computer Science 2025-02-11 Dongyuan Li , Satoshi Kosugi , Ying Zhang , Manabu Okumura , Feng Xia , Renhe Jiang

The paper develops a Transformer architecture for estimating dynamic factors from multivariate time series data under flexible identification assumptions. Performance on small datasets is improved substantially by using a conventional…

Econometrics · Economics 2026-01-21 Oliver Snellman

Nonnegative matrix factorization (NMF) is a powerful technique for dimension reduction, extracting latent factors and learning part-based representation. For large datasets, NMF performance depends on some major issues: fast algorithms,…

Optimization and Control · Mathematics 2015-07-01 Duy-Khuong Nguyen , Tu-Bao Ho

A novel deep neural network framework -- that we refer to as Deep Dynamic Factor Model (D$^2$FM) --, is able to encode the information available, from hundreds of macroeconomic and financial time-series into a handful of unobserved latent…

Econometrics · Economics 2023-05-23 Paolo Andreini , Cosimo Izzo , Giovanni Ricco