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In a variety of disciplines such as social sciences, psychology, medicine and economics, the recorded data are considered to be noisy measurements of latent variables connected by some causal structure. This corresponds to a family of…

机器学习 · 计算机科学 2014-08-12 Ricardo Silva , Robert B. Gramacy

In a variety of disciplines such as social sciences, psychology, medicine and economics, the recorded data are considered to be noisy measurements of latent variables connected by some causal structure. This corresponds to a family of…

机器学习 · 计算机科学 2010-03-15 Ricardo Silva , Robert B. Gramacy

Transformer models have achieved profound success in prediction tasks in a wide range of applications in natural language processing, speech recognition and computer vision. Extending Transformer's success to safety-critical domains…

机器学习 · 计算机科学 2025-09-11 Wenlong Chen , Yingzhen Li

An emerging approach for large-scale renewable hydrogen production is integrating multiple alkaline water electrolysis (AWE) stacks into one balance-of-plant (BoP) system, sharing gas-lye separation and lye circulation components. While…

最优化与控制 · 数学 2026-05-07 Yiwei Qiu , Jiatong Li , Yangjun Zeng , Yi Zhou , Shi Chen , Xiaoyan Qiu , Buxiang Zhou , Ge He , Xu Ji , Wenying Li

Sparse functional data frequently arise in real-world applications, posing significant challenges for accurate classification. To address this, we propose a novel classification method that integrates functional principal component analysis…

统计计算 · 统计学 2025-03-17 Ahmad Talafha

Sparse Bayesian learning (SBL) has emerged as a fast and competitive method to perform sparse processing. The SBL algorithm, which is developed using a Bayesian framework, approximately solves a non-convex optimization problem using fixed…

Change detection involves segmenting sequential data such that observations in the same segment share some desired properties. Multivariate change detection continues to be a challenging problem due to the variety of ways change points can…

统计方法学 · 统计学 2018-10-16 Wenyu Zhang , Daniel Gilbert , David Matteson

Phase retrieval (PR) is a crucial problem in many imaging applications. This study focuses on resolving the holographic phase retrieval problem in situations where the measurements are affected by a combination of Poisson and Gaussian…

信号处理 · 电气工程与系统科学 2023-09-22 Zongyu Li , Jason Hu , Xiaojian Xu , Liyue Shen , Jeffrey A. Fessler

This paper presents an online algorithm for identification of partial differential equations (PDEs) based on the weak-form sparse identification of nonlinear dynamics algorithm (WSINDy). The algorithm is online in a sense that if performs…

最优化与控制 · 数学 2022-03-09 Daniel A. Messenger , Emiliano Dall'Anese , David M. Bortz

Sparse Principal Component Analysis (sPCA) is a popular matrix factorization approach based on Principal Component Analysis (PCA) that combines variance maximization and sparsity with the ultimate goal of improving data interpretation. When…

机器学习 · 统计学 2020-11-19 J. Camacho , A. K. Smilde , E. Saccenti , J. A. Westerhuis

As the issue of freshwater shortage is increasing daily, it is critical to take effective measures for water conservation. According to previous studies, device level consumption could lead to significant freshwater conservation. Existing…

机器学习 · 计算机科学 2018-08-29 Bingsheng Wang , Xuchao Zhang , Chang-Tien Lu , Feng Chen

In this paper we develop a new approach to sparse principal component analysis (sparse PCA). We propose two single-unit and two block optimization formulations of the sparse PCA problem, aimed at extracting a single sparse dominant…

最优化与控制 · 数学 2008-12-01 Michel Journée , Yurii Nesterov , Peter Richtárik , Rodolphe Sepulchre

An improved mixture of probabilistic principal component analysis (PPCA) has been introduced for nonlinear data-driven process monitoring in this paper. To realize this purpose, the technique of a mixture of probabilistic principal…

统计方法学 · 统计学 2020-12-15 Jingxin Zhang , Hao Chen , Songhang Chen , Xia Hong

We extend the work of Hahn and Carvalho (2015) and develop a doubly-regularized sparse regression estimator by synthesizing Bayesian regularization with penalized least squares within a decision-theoretic framework. In contrast to existing…

统计方法学 · 统计学 2025-02-04 Aihua Li , Surya T. Tokdar , Jason Xu

Due to its self-regularizing nature and its ability to quantify uncertainty, the Bayesian approach has achieved excellent recovery performance across a wide range of sparse signal recovery applications. However, most existing methods are…

信号处理 · 电气工程与系统科学 2022-09-07 Zonglong Bai , Liming Shi , Jinwei Sun , Mads Græsbøll Christensen

Sparse principal component analysis (SPCA) methods have proven to efficiently analyze high-dimensional data. Among them, threshold-based SPCA (TSPCA) is computationally more cost-effective than regularized SPCA, based on L1 penalties. We…

统计方法学 · 统计学 2023-05-29 Kazuyoshi Yata , Makoto Aoshima

In this paper, we study the problem of sparse Principal Component Analysis (PCA) in the high-dimensional setting with missing observations. Our goal is to estimate the first principal component when we only have access to partial…

统计理论 · 数学 2012-06-04 Karim Lounici

Dynamic state estimation (DSE) is vital in modern power systems with numerous inverter-based distributed energy resources including solar and wind, ensuring real-time accuracy for tracking system variables and optimizing grid stability.…

系统与控制 · 电气工程与系统科学 2024-06-17 Elham Jamalinia , Zhongtian Zhang , Javad Khazaei , Rick S. Blum

The increasing integration of intermittent renewable generation, especially at the distribution level,necessitates advanced planning and optimisation methodologies contingent on the knowledge of thegrid, specifically the admittance matrix…

系统与控制 · 电气工程与系统科学 2021-12-21 Jean-Sébastien Brouillon , Emanuele Fabbiani , Pulkit Nahata , Keith Moffat , Florian Dörfler , Giancarlo Ferrari-Trecate

This paper presents a hierarchical Bayesian modeling framework for the uncertainty quantification in modal identification of linear dynamical systems using multiple vibration data sets. This novel framework integrates the state-of-the-art…

统计方法学 · 统计学 2020-05-19 Omid Sedehi , Lambros S. Katafygiotis , Costas Papadimitriou