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Stein variational gradient descent (SVGD) is a prominent particle-based variational inference method used for sampling a target distribution. SVGD has attracted interest for application in machine-learning techniques such as Bayesian…

Machine Learning · Computer Science 2024-02-26 Yuya Kawamura , Satoshi Takabe

Singular Value Decomposition (SVD) is a powerful tool in linear algebra.We propose an extension of SVD for both the qualitative detection and quantitative determination of nonlinearity in a time series. The paper illustrates nonlinear SVD…

Chaotic Dynamics · Physics 2009-02-11 Prabhakar G. Vaidya , Sajini Anand P. S , Nithin Nagaraj

This chapter describes gene expression analysis by Singular Value Decomposition (SVD), emphasizing initial characterization of the data. We describe SVD methods for visualization of gene expression data, representation of the data using a…

Biological Physics · Physics 2007-05-23 Michael E. Wall , Andreas Rechtsteiner , Luis M. Rocha

The complexity of state-of-the-art Transformer-based models for skeleton-based action recognition poses significant challenges in terms of computational efficiency and resource utilization. In this paper, we explore the application of…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Soroush Oraki , Harry Zhuang , Jie Liang

Over the past decade, various matrix completion algorithms have been developed. Thresholded singular value decomposition (SVD) is a popular technique in implementing many of them. A sizable number of studies have shown its theoretical and…

Methodology · Statistics 2016-05-10 Juhee Cho , Donggyu Kim , Karl Rohe

Unfolding, in the context of high-energy particle physics, refers to the process of removing detector distortions in experimental data. The resulting unfolded measurements are straightforward to use for direct comparisons between…

We provide a new algorithm for the treatment of the deconvolution problem on the sphere which combines the traditional SVD inversion with an appropriate thresholding technique in a well chosen new basis. We establish upper bounds for the…

Statistics Theory · Mathematics 2016-08-14 Gérard Kerkyacharian , Thanh Mai Pham Ngoc , Dominique Picard

Collider data must be corrected for detector effects ("unfolded") to be compared with many theoretical calculations and measurements from other experiments. Unfolding is traditionally done for individual, binned observables without…

High Energy Physics - Phenomenology · Physics 2020-05-13 Anders Andreassen , Patrick T. Komiske , Eric M. Metodiev , Benjamin Nachman , Jesse Thaler

This paper explores signal and image analysis by using the Singular Value Decomposition (SVD) and its extension, the Generalized Singular Value Decomposition (GSVD). A key strength of SVD lies in its ability to separate information into…

Signal Processing · Electrical Eng. & Systems 2025-12-10 Oscar Romero , Néstor Thome

The Singular Value Decomposition is a matrix decomposition technique widely used in the analysis of multivariate data, such as complex space-time images obtained in both physical and biological systems. In this paper, we examine the…

Statistical Mechanics · Physics 2009-09-25 A. M. Sengupta , P. P. Mitra

Graph Representation Learning (GRL) is an upcoming and promising area in recommendation systems. In this paper, we revisit the Singular Value Decomposition (SVD) of adjacency matrix for embedding generation of users and items and use a…

Social and Information Networks · Computer Science 2021-10-08 Amar Budhiraja

While transfer learning is an effective strategy, it often overlooks the opportunity to leverage knowledge from numerous available models online. Addressing this multi-source transfer learning problem is a promising path to boost…

Machine Learning · Computer Science 2026-04-24 Marcin Osial , Bartosz Wójcik , Bartosz Zieliński , Sebastian Cygert

The paper presents a strategy to construct an incremental Singular Value Decomposition (SVD) for time-evolving, spatially 3D discrete data sets. A low memory access procedure for reducing and deploying the snapshot data is presented.…

Mathematical Software · Computer Science 2023-02-21 Niklas Kühl , Hendrik Fischer , Michael Hinze , Thomas Rung

Spectral computed tomography (CT) is an emerging technology, that generates a multienergy attenuation map for the interior of an object and extends the traditional image volume into a 4D form. Compared with traditional CT based on…

Medical Physics · Physics 2022-07-27 Xiang Chen , Wenjun Xia , Ziyuan Yang , Hu Chen , Yan Liu , Jiliu Zhou , Yi Zhang

Singular value decomposition (SVD) is the mathematical basis of principal component analysis (PCA). Together, SVD and PCA are one of the most widely used mathematical formalism/decomposition in machine learning, data mining, pattern…

Machine Learning · Computer Science 2018-04-17 Shuai Zheng , Chris Ding , Feiping Nie

Representation learning and exploration are among the key challenges for any deep reinforcement learning agent. In this work, we provide a singular value decomposition based method that can be used to obtain representations that preserve…

Machine Learning · Computer Science 2023-05-03 Yash Chandak , Shantanu Thakoor , Zhaohan Daniel Guo , Yunhao Tang , Remi Munos , Will Dabney , Diana L Borsa

In this paper, an accurate direction-of-arrival (DOA) estimator is developed based on the real-valued singular value decomposition (SVD) of covariance matrix. Unitary transform on the complex-valued covariance matrix is first applied, and…

Signal Processing · Electrical Eng. & Systems 2020-04-13 Hui Cao , Qi Liu

We address the problem of data-driven pattern identification and outlier detection in time series. To this end, we use singular value decomposition (SVD) which is a well-known technique to compute a low-rank approximation for an arbitrary…

Methodology · Statistics 2019-03-12 Abdolrahman Khoshrou , Eric J. Pauwels

In the tensor completion problem, one seeks to estimate a low-rank tensor based on a random sample of revealed entries. In terms of the required sample size, earlier work revealed a large gap between estimation with unbounded computational…

Data Structures and Algorithms · Computer Science 2016-12-26 Andrea Montanari , Nike Sun

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…

Signal Processing · Electrical Eng. & Systems 2022-09-05 Thomas Eriksen , Naveed ur Rehman