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A multi-way factor analysis model is introduced for tensor-variate data of any order. Each data item is represented as a (sparse) sum of Kruskal decompositions, a Kruskal-factor analysis (KFA). KFA is nonparametric and can infer both the…

机器学习 · 统计学 2017-03-07 Andrew Stevens , Yunchen Pu , Yannan Sun , Greg Spell , Lawrence Carin

This paper presents a factor graph formulation and particle-based sum-product algorithm (SPA) for robust sequential localization in multipath-prone environments. The proposed algorithm jointly performs data association, sequential…

信号处理 · 电气工程与系统科学 2023-06-16 Alexander Venus , Erik Leitinger , Stefan Tertinek , Klaus Witrisal

Feature selection, as a vital dimension reduction technique, reduces data dimension by identifying an essential subset of input features, which can facilitate interpretable insights into learning and inference processes. Algorithmic…

机器学习 · 计算机科学 2022-01-06 Xinxing Wu , Qiang Cheng

Random-feature-based attention (RFA) is an efficient approximation of softmax attention with linear runtime and space complexity. However, the approximation gap between RFA and conventional softmax attention is not well studied. Built upon…

机器学习 · 计算机科学 2023-02-10 Lin Zheng , Jianbo Yuan , Chong Wang , Lingpeng Kong

The paper presents a new Kalman filter (KF) implementation useful in applications where the accuracy of numerical solution of the associated Riccati equation might be crucially reduced by influence of roundoff errors. Since the appearance…

最优化与控制 · 数学 2017-09-22 Maria V. Kulikova , Julia V. Tsyganova

Numerous estimators have been proposed for factor analysis, and their statistical properties have been extensively studied. In the early 2000s, a novel matrix factorization-based approach, known as Matrix Decomposition Factor Analysis…

统计理论 · 数学 2025-06-23 Yoshikazu Terada

Federated learning (FL) has become a hot research area in enabling the collaborative training of machine learning models among multiple clients that hold sensitive local data. Nevertheless, unconstrained federated optimization has been…

机器学习 · 计算机科学 2022-08-31 Ying Cui , Yangchen Li , Chencheng Ye

It was shown before that the NP-hard problem of deterministic finite automata (DFA) identification can be effectively translated to Boolean satisfiability (SAT). Modern SAT-solvers can tackle hard DFA identification instances efficiently.…

形式语言与自动机理论 · 计算机科学 2016-02-22 Vladimir Ulyantsev , Ilya Zakirzyanov , Anatoly Shalyto

Sparse principal component analysis (SPCA) addresses the poor interpretability and variable redundancy often encountered by principal component analysis (PCA) in high-dimensional data. However, SPCA typically imposes uniform penalties on…

机器学习 · 统计学 2026-03-17 Ying Hu , Hu Yang

The matched filter (MF) is one of the most popular and reliable techniques to the detect signals of known structure and amplitude smaller than the level of the contaminating noise. Under the assumption of stationary Gaussian noise, MF…

天体物理仪器与方法 · 物理学 2017-08-30 Roberto Vio , Clara Verges , Paola Andreani

This paper presents a new Matlab toolbox, aimed at facilitating the use of polynomial optimization for stability analysis of nonlinear systems. In the past decade several decisive contributions made it possible to recast this type of…

最优化与控制 · 数学 2024-04-03 Stéphane Drobot , Matteo Tacchi , Carmen Cardozo , Colin N. Jones

Value functions are central to Dynamic Programming and Reinforcement Learning but their exact estimation suffers from the curse of dimensionality, challenging the development of practical value-function (VF) estimation algorithms. Several…

人工智能 · 计算机科学 2021-04-20 Sergio Rozada , Victor Tenorio , Antonio G. Marques

Signal decomposition (SD) approaches aim to decompose non-stationary signals into their constituent amplitude- and frequency-modulated components. This represents an important preprocessing step in many practical signal processing…

信号处理 · 电气工程与系统科学 2022-09-05 Thomas Eriksen , Naveed ur Rehman

In this paper, we first propose a unified framework for analyzing the stability of the phaseless operators for both amplitude and intensity measurement on an arbitrary geometric set, thereby characterizing the robust performance of phase…

信息论 · 计算机科学 2026-05-11 Gao Huang , Song Li

Extended Predictable Feature Analysis (PFAx) [Richthofer and Wiskott, 2017] is an extension of PFA [Richthofer and Wiskott, 2015] that allows generating a goal-directed control signal of an agent whose dynamics has previously been learned…

机器学习 · 计算机科学 2018-05-23 Stefan Richthofer , Laurenz Wiskott

Smoothing of noisy sample covariances is an important component in functional data analysis. We propose a novel covariance smoothing method based on penalized splines and associated software. The proposed method is a bivariate spline…

统计方法学 · 统计学 2017-04-07 Luo Xiao , Cai Li , William Checkley , Ciprian M. Crainiceanu

Large-scale association analysis between multivariate responses and predictors is of great practical importance, as exemplified by modern business applications including social media marketing and crisis management. Despite the rapid…

统计方法学 · 统计学 2020-11-18 Zemin Zheng , Yang Li , Jie Wu , Yuchen Wang

Software fault prediction (SFP) is a critical task in software engineering, enabling early identification of faults in modules to improve software quality and reduce maintenance costs. This research investigates the combined effects of…

We propose a new matrix factor model, named RaDFaM, which is strictly derived based on the general rank decomposition and assumes a structure of a high-dimensional vector factor model for each basis vector. RaDFaM contributes a novel class…

统计方法学 · 统计学 2024-02-14 Xu Zhang , Catherine C. Liu , Jianhua Guo , K. C. Yuen , A. H. Welsh

We discuss stability for a class of learning algorithms with respect to noisy labels. The algorithms we consider are for regression, and they involve the minimization of regularized risk functionals, such as L(f) := 1/N sum_i…

机器学习 · 计算机科学 2007-05-23 Cynthia Rudin