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Quantum computing and machine learning are state-of-the-art technologies that have been investigated intensively in both academia and industry. The hybrid technology of these two ingredients is expected to be a powerful tool to solve…

Quantum Physics · Physics 2026-03-05 Yusuke Hama , Tadashi Kadowaki

Submodular function minimization (SFM) is a fundamental and efficiently solvable problem class in combinatorial optimization with a multitude of applications in various fields. Surprisingly, there is only very little known about constraint…

Data Structures and Algorithms · Computer Science 2018-11-27 Martin Nägele , Benny Sudakov , Rico Zenklusen

This paper introduces a technique to enhance the efficiency of quadratic machine learning models, particularly Field-Aware Factorization Machines (FFMs) handling binary data. Our approach strategically reduces model size through optimized…

Materials Science · Physics 2025-03-27 Yasuharu Okamoto

In this paper we introduce a new classification algorithm called Optimization of Distributions Differences (ODD). The algorithm aims to find a transformation from the feature space to a new space where the instances in the same class are as…

Machine Learning · Computer Science 2017-03-06 Mohammad Reza Bonyadi , Quang M. Tieng , David C. Reutens

Flow matching (FM) is increasingly used in scientific domains for time series generation and forecasting, where data often arise from underlying dynamical systems. However, it is not well-understood whether it learns transferable dynamical…

Machine Learning · Statistics 2026-05-08 Soon Hoe Lim , Shizheng Lin , Michael W. Mahoney , N. Benjamin Erichson

We consider solving the low rank matrix sensing problem with Factorized Gradient Descend (FGD) method when the true rank is unknown and over-specified, which we refer to as over-parameterized matrix sensing. If the ground truth signal…

Machine Learning · Computer Science 2021-02-05 Jiacheng Zhuo , Jeongyeol Kwon , Nhat Ho , Constantine Caramanis

Non-negative matrix factorization (NMF) is a new knowledge discovery method that is used for text mining, signal processing, bioinformatics, and consumer analysis. However, its basic property as a learning machine is not yet clarified, as…

Statistics Theory · Mathematics 2019-06-10 Naoki Hayashi , Sumio Watanabe

In the past decade, matrix factorization has been extensively researched and has become one of the most popular techniques for personalized recommendations. Nevertheless, the dot product adopted in matrix factorization based recommender…

Information Retrieval · Computer Science 2018-06-05 Shuai Zhang , Lina Yao , Yi Tay , Xiwei Xu , Xiang Zhang , Liming Zhu

Federated Learning (FL) is a promising framework for performing privacy-preserving, distributed learning with a set of clients. However, the data distribution among clients often exhibits non-IID, i.e., distribution shift, which makes…

Machine Learning · Computer Science 2022-06-07 Zhe Qu , Xingyu Li , Rui Duan , Yao Liu , Bo Tang , Zhuo Lu

Partial identification often arises when the joint distribution of the data is known only up to its marginals. We consider the corresponding partially identified GMM model and develop a methodology for identification, estimation, and…

Econometrics · Economics 2025-12-29 Grigory Franguridi , Laura Liu

Federated Learning (FL) typically aggregates client model parameters using a weighting approach determined by sample proportions. However, this naive weighting method may lead to unfairness and degradation in model performance due to…

Machine Learning · Computer Science 2023-11-13 Mingwei Xu , Xiaofeng Cao , Ivor W. Tsang , James T. Kwok

Nonnegative Matrix Factorization (NMF) is a fundamental tool in unsupervised learning, widely used for tasks such as dimensionality reduction, feature extraction, representation learning, and topic modeling. Many algorithms have been…

Optimization and Control · Mathematics 2025-06-19 Mai-Quyen Pham , Jérémy Cohen , Thierry Chonavel

We propose a Fourier-based approach for optimization of several clustering algorithms. Mathematically, clusters data can be described by a density function represented by the Dirac mixture distribution. The density function can be smoothed…

Machine Learning · Computer Science 2019-09-24 Soheil Mehrabkhani

Federated learning (FL) is a distributed learning approach where a set of end-user devices participate in the learning process by acting on their isolated local data sets. Here, we process local data sets of users where worst-case…

Machine Learning · Computer Science 2019-12-13 Saeedeh Parsaeefard , Iman Tabrizian , Alberto Leon Garcia

Matrix factorization (MF) is a versatile learning method that has found wide applications in various data-driven disciplines. Still, many MF algorithms do not adequately scale with the size of available datasets and/or lack…

Machine Learning · Computer Science 2019-05-30 Abhishek Agarwal , Jianhao Peng , Olgica Milenkovic

Non-negative matrix factorization (NMF) is one of the most popular decomposition techniques for multivariate data. NMF is a core method for many machine-learning related computational problems, such as data compression, feature extraction,…

Numerical Analysis · Computer Science 2017-12-07 Gabriele Torre , Michael Graber

Federated learning is a useful framework for centralized learning from distributed data under practical considerations of heterogeneity, asynchrony, and privacy. Federated architectures are frequently deployed in deep learning settings,…

Machine Learning · Computer Science 2020-12-04 Stefan Vlaski , Elsa Rizk , Ali H. Sayed

Out-of-distribution (OOD) detection is crucial to safety-critical machine learning applications and has been extensively studied. While recent studies have predominantly focused on classifier-based methods, research on deep generative model…

Machine Learning · Computer Science 2024-02-19 Genki Osada , Tsubasa Takahashi , Takashi Nishide

As a powerful technique in generative modeling, Flow Matching (FM) aims to learn velocity fields from noise to data, which is often explained and implemented as solving Optimal Transport (OT) problems. In this study, we bridge FM and the…

Machine Learning · Computer Science 2025-12-23 Angxiao Yue , Anqi Dong , Hongteng Xu

The quality of learned features by representation learning determines the performance of learning algorithms and the related application tasks (such as high-dimensional data clustering). As a relatively new paradigm for representation…

Machine Learning · Computer Science 2021-02-02 Zhao Zhang , Yan Zhang , Mingliang Xu , Li Zhang , Yi Yang , Shuicheng Yan