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Matrix factorization, one of the most popular methods in machine learning, has recently benefited from introducing non-linearity in prediction tasks using tropical semiring. The non-linearity enables a better fit to extreme values and…

Machine Learning · Computer Science 2022-05-16 Amra Omanović , Polona Oblak , Tomaž Curk

As nowadays Machine Learning (ML) techniques are generating huge data collections, the problem of how to efficiently engineer their storage and operations is becoming of paramount importance. In this article we propose a new lossless…

Data Structures and Algorithms · Computer Science 2022-03-31 Paolo Ferragina , Travis Gagie , Dominik Köppl , Giovanni Manzini , Gonzalo Navarro , Manuel Striani , Francesco Tosoni

High-dimensional and sparse (HiDS) matrices are omnipresent in a variety of big data-related applications. Latent factor analysis (LFA) is a typical representation learning method that extracts useful yet latent knowledge from HiDS matrices…

Machine Learning · Computer Science 2022-04-19 Di Wu , Peng Zhang , Yi He , Xin Luo

Nonnegative matrix factorization (NMF) is widely used for clustering with strong interpretability. Among general NMF problems, symmetric NMF is a special one that plays an important role in graph clustering where each element measures the…

Machine Learning · Computer Science 2023-11-07 Mengyuan Zhang , Kai Liu

Non-negative Matrix Factorization (NMF) is a useful method to extract features from multivariate data, but an important and sometimes neglected concern is that NMF can result in non-unique solutions. Often, there exist a Set of Feasible…

Applications · Statistics 2021-01-20 Ragnhild Laursen , Asger Hobolth

Semi-Non-negative Matrix Factorization is a technique that learns a low-dimensional representation of a dataset that lends itself to a clustering interpretation. It is possible that the mapping between this new representation and our…

Computer Vision and Pattern Recognition · Computer Science 2015-09-11 George Trigeorgis , Konstantinos Bousmalis , Stefanos Zafeiriou , Bjoern W. Schuller

In the context of time series forecasting, it is a common practice to evaluate multiple methods and choose one of these methods or an ensemble for producing the best forecasts. However, choosing among different ensembles over multiple…

Machine Learning · Computer Science 2021-12-16 Himanshi Charotia , Abhishek Garg , Gaurav Dhama , Naman Maheshwari

Matrix factorization is a very common machine learning technique in recommender systems. Bayesian Matrix Factorization (BMF) algorithms would be attractive because of their ability to quantify uncertainty in their predictions and avoid…

Machine Learning · Computer Science 2020-04-15 Tom Vander Aa , Xiangju Qin , Paul Blomstedt , Roel Wuyts , Wilfried Verachtert , Samuel Kaski

The Matrix Factorization models, sometimes called the latent factor models, are a family of methods in the recommender system research area to (1) generate the latent factors for the users and the items and (2) predict users' ratings on…

Information Retrieval · Computer Science 2017-10-03 Hung-Hsuan Chen

We study the problem of large-scale network embedding, which aims to learn latent representations for network mining applications. Previous research shows that 1) popular network embedding benchmarks, such as DeepWalk, are in essence…

Social and Information Networks · Computer Science 2019-06-27 Jiezhong Qiu , Yuxiao Dong , Hao Ma , Jian Li , Chi Wang , Kuansan Wang , Jie Tang

Matrix factorization is one of the best approaches for collaborative filtering, because of its high accuracy in presenting users and items latent factors. The main disadvantages of matrix factorization are its complexity, and being very…

Machine Learning · Computer Science 2017-08-10 Mostafa A. Shehata , Mohammad Nassef , Amr A. Badr

Firms earning prediction plays a vital role in investment decisions, dividends expectation, and share price. It often involves multiple tensor-compatible datasets with non-linear multi-way relationships, spatiotemporal structures, and…

Machine Learning · Computer Science 2021-09-07 Ajim Uddin , Dan Zhou , Xinyuan Tao , Chia-Ching Chou , Dantong Yu

Nonnegative Matrix Factorization (NMF) has been a popular representation method for pattern classification problem. It tries to decompose a nonnegative matrix of data samples as the product of a nonnegative basic matrix and a nonnegative…

Machine Learning · Statistics 2013-12-06 Jim Jing-Yan Wang

This paper studies the open problem of conformalized entry prediction in a row/column-exchangeable matrix. The matrix setting presents novel and unique challenges, but there exists little work on this interesting topic. We meticulously…

Machine Learning · Computer Science 2023-06-07 Meijia Shao , Yuan Zhang

Multiresolution Matrix Factorization (MMF) was recently introduced as a method for finding multiscale structure and defining wavelets on graphs/matrices. In this paper we derive pMMF, a parallel algorithm for computing the MMF…

Numerical Analysis · Computer Science 2015-07-17 Risi Kondor , Nedelina Teneva , Pramod K. Mudrakarta

Matrix factorization (MF) is a classical collaborative filtering algorithm for recommender systems. It decomposes the user-item interaction matrix into a product of low-dimensional user representation matrix and item representation matrix.…

Information Retrieval · Computer Science 2023-08-15 Shangde Gao , Ke Liu , Yichao Fu

Matrix factorization (MF) can extract the low-rank features and integrate the information of the data manifold distribution from high-dimensional data, which can consider the nonlinear neighbourhood information. Thus, MF has drawn wide…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-24 Zixuan Li , Hao Li , Kenli Li , Fan Wu , Lydia Chen , Keqin Li

As one of the most commonly seen data challenges, missing data, in particular, multiple, non-monotone missing patterns, complicates estimation and inference due to the fact that missingness mechanisms are often not missing at random, and…

Methodology · Statistics 2025-04-21 Jianing Dong , Raymond K. W. Wong , Kwun Chuen Gary Chan

Non-negative Matrix Factorization (NMF) is a powerful technique for analyzing regularly-sampled data, i.e., data that can be stored in a matrix. For audio, this has led to numerous applications using time-frequency (TF) representations like…

Audio and Speech Processing · Electrical Eng. & Systems 2025-07-10 Krishna Subramani , Paris Smaragdis , Takuya Higuchi , Mehrez Souden

Fast feedforward networks (FFFs) are a class of neural networks that exploit the observation that different regions of the input space activate distinct subsets of neurons in wide networks. FFFs partition the input space into separate…

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