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An increasing bottleneck in decentralized optimization is communication. Bigger models and growing datasets mean that decentralization of computation is important and that the amount of information exchanged is quickly growing. While…

Machine Learning · Computer Science 2021-08-19 Tharindu B. Adikari , Stark C. Draper

High-frequency quantitative investment is a crucial aspect of stock investment. Notably, order flow data plays a critical role as it provides the most detailed level of information among high-frequency trading data, including comprehensive…

Statistical Finance · Quantitative Finance 2023-08-17 Xianfeng Jiao , Zizhong Li , Chang Xu , Yang Liu , Weiqing Liu , Jiang Bian

A new methodology has been introduced to clean the correlation matrix of single stocks returns based on a constrained principal component analysis using financial data. Portfolios were introduced, namely "Fundamental Maximum Variance…

Portfolio Management · Quantitative Finance 2020-01-27 Sebastien Valeyre

Tensor regression has attracted significant attention in statistical research. This study tackles the challenge of handling covariates with smooth varying structures. We introduce a novel framework, termed functional tensor regression,…

Methodology · Statistics 2025-06-12 Tongyu Li , Fang Yao , Anru R. Zhang

Dimensionality reduction is an effective method for learning high-dimensional data, which can provide better understanding of decision boundaries in human-readable low-dimensional subspace. Linear methods, such as principal component…

Machine Learning · Computer Science 2020-07-09 Koji Maruhashi , Heewon Park , Rui Yamaguchi , Satoru Miyano

Tensor train (TT) decomposition provides a space-efficient representation for higher-order tensors. Despite its advantage, we face two crucial limitations when we apply the TT decomposition to machine learning problems: the lack of…

Machine Learning · Statistics 2017-08-03 Masaaki Imaizumi , Takanori Maehara , Kohei Hayashi

Stock price prediction is of significant importance in quantitative investment. Existing approaches encounter two primary issues: First, they often overlook the crucial role of capturing short-term stock fluctuations for predicting…

Computational Engineering, Finance, and Science · Computer Science 2024-11-12 Chengqi Dong , Zhiyuan Cao , S Kevin Zhou , Jia Liu

Tensor decomposition is a popular technique for tensor completion, However most of the existing methods are based on linear or shallow model, when the data tensor becomes large and the observation data is very small, it is prone to over…

Numerical Analysis · Mathematics 2021-05-21 Qianxi Wu , An-Bao Xu

Semi-supervised symmetric non-negative matrix factorization (SNMF) utilizes the available supervisory information (usually in the form of pairwise constraints) to improve the clustering ability of SNMF. The previous methods introduce the…

Machine Learning · Computer Science 2024-10-29 Yuheng Jia , Jia-Nan Li , Wenhui Wu , Ran Wang

We study the time dependence of maximal spanning trees and asset graphs based on correlation matrices of stock returns. In these networks the nodes represent companies and links are related to the correlation coefficients between them.…

Physics and Society · Physics 2009-11-13 Tapio Heimo , Kimmo Kaski , Jari Saramaki

Similarity matrix serves as a fundamental tool at the core of numerous downstream machine-learning tasks. However, missing data is inevitable and often results in an inaccurate similarity matrix. To address this issue, Similarity Matrix…

Machine Learning · Computer Science 2024-10-01 Changyi Ma , Runsheng Yu , Xiao Chen , Youzhi Zhang

We propose a scalable tensorization framework for neural network compression based on slice-wise feature distillation. Unlike conventional tensor decomposition methods that rely on costly global finetuning, our approach decomposes the…

Machine Learning · Computer Science 2026-05-20 Safa Hamreras , Sukhbinder Singh , Román Orús

We present an iterative algorithm, called the symmetric tensor eigen-rank-one iterative decomposition (STEROID), for decomposing a symmetric tensor into a real linear combination of symmetric rank-1 unit-norm outer factors using only…

Numerical Analysis · Mathematics 2016-02-18 Kim Batselier , Ngai Wong

Tensors are a natural way to express correlations among many physical variables, but storing tensors in a computer naively requires memory which scales exponentially in the rank of the tensor. This is not optimal, as the required memory is…

Computational Physics · Physics 2018-12-03 Adam S. Jermyn

Selecting the latent dimensions (ranks) in tensor factorization is a central challenge that often relies on heuristic methods. This paper introduces a rigorous approach to determine rank identifiability in probabilistic tensor models, based…

Machine Learning · Computer Science 2026-04-03 Eliezer da Silva , Arto Klami , Diego Mesquita , Iñigo Urteaga

We propose a new pivot selection technique for symmetric indefinite factorization of sparse matrices. Such factorization should maintain both sparsity and numerical stability of the factors, both of which depend solely on the choices of the…

Numerical Analysis · Computer Science 2016-01-27 Duangpen Jetpipattanapong , Gun Srijuntongsiri

Stock prediction aims to predict the future trends of a stock in order to help investors to make good investment decisions. Traditional solutions for stock prediction are based on time-series models. With the recent success of deep neural…

Computational Engineering, Finance, and Science · Computer Science 2019-12-17 Fuli Feng , Xiangnan He , Xiang Wang , Cheng Luo , Yiqun Liu , Tat-Seng Chua

Correlation functions, such as static and dynamic structure factors, offer a versatile approach to analyzing atomic-scale structure and dynamics. By having access to the full dynamics from atomistic simulations, they serve as valuable tools…

Topic discovery has witnessed a significant growth as a field of data mining at large. In particular, time-evolving topic discovery, where the evolution of a topic is taken into account has been instrumental in understanding the historical…

Information Retrieval · Computer Science 2018-07-03 Sanaz Bahargam , Evangelos E. Papalexakis

Matrix factorization methods are important tools in data mining and analysis. They can be used for many tasks, ranging from dimensionality reduction to visualization. In this paper we concentrate on the use of matrix factorizations for…

Machine Learning · Computer Science 2017-07-28 Sanjar Karaev , Pauli Miettinen