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The low-rank approximation is a complexity reduction technique to approximate a tensor or a matrix with a reduced rank, which has been applied to the simulation of high dimensional problems to reduce the memory required and computational…

Computational Physics · Physics 2020-08-26 Zhuogang Peng , Ryan McClarren , Martin Frank

Generative Recommendation (GR) has recently transitioned from atomic item-indexing to Semantic ID (SID)-based frameworks to capture intrinsic item relationships and enhance generalization. However, the adoption of high-granularity SIDs…

Information Retrieval · Computer Science 2026-04-08 Tianyu Zhan , Kairui Fu , Chengfei Lv , Zheqi Lv , Shengyu Zhang

Many applications in data analysis rely on the decomposition of a data matrix into a low-rank and a sparse component. Existing methods that tackle this task use the nuclear norm and L1-cost functions as convex relaxations of the rank…

Machine Learning · Statistics 2013-01-18 Clemens Hage , Martin Kleinsteuber

In this paper, we address the problem of classifying clutter returns in order to partition them into statistically homogeneous subsets. The classification procedure relies on a model for the observables including latent variables that is…

Signal Processing · Electrical Eng. & Systems 2020-07-01 Pia Addabbo , Sudan Han , Danilo Orlando , Giuseppe Ricci

We present a framework for learning to guide geometric task and motion planning (GTAMP). GTAMP is a subclass of task and motion planning in which the goal is to move multiple objects to target regions among movable obstacles. A standard…

Robotics · Computer Science 2022-03-10 Beomjoon Kim , Luke Shimanuki , Leslie Pack Kaelbling , Tomás Lozano-Pérez

Latest research in industrial robotics is aimed at making human robot collaboration possible seamlessly. For this purpose, industrial robots are expected to work on the fly in unstructured and cluttered environments and hence the subject of…

Robotics · Computer Science 2019-11-13 Indraneel Patil , B. K. Rout , V. Kalaichelvi

A randomized algorithm for computing a data sparse representation of a given rank structured matrix $A$ (a.k.a. an $H$-matrix) is presented. The algorithm draws on the randomized singular value decomposition (RSVD), and operates under the…

Numerical Analysis · Mathematics 2024-06-25 James Levitt , Per-Gunnar Martinsson

Data characterized by high dimensionality and sparsity are commonly used to describe real-world node interactions. Low-rank representation (LR) can map high-dimensional sparse (HDS) data to low-dimensional feature spaces and infer node…

Machine Learning · Computer Science 2024-08-30 Qicong Hu , Hao Wu

Recent developments in engineering techniques for spatial data collection such as geographic information systems have resulted in an increasing need for methods to analyze large spatial data sets. These sorts of data sets can be found in…

Methodology · Statistics 2020-08-14 Toshihiro Hirano

Structured pruning can simplify network architecture and improve inference speed. Combined with the underlying hardware and inference engine in which the final model is deployed, better results can be obtained by using latency collaborative…

Computer Vision and Pattern Recognition · Computer Science 2023-05-25 Siyuan Pan , Linna Zhang , Jie Zhang , Xiaoshuang Li , Liang Hou , Xiaobing Tu

We propose a novel estimator for the principal component (PC) subspace tailored to the high-dimension, low-sample size (HDLSS) context. The method, termed Adaptive Reference-Guided (ARG) estimator, is designed for data exhibiting spiked…

Statistics Theory · Mathematics 2025-08-12 Dongsun Yoon , Sungkyu Jung

Some consequences of the Restricted Isometry Property (RIP) of matrices have been applied to develop a greedy algorithm called "ROMP" (Regularized Orthogonal Matching Pursuit) to recover sparse signals and to approximate non-sparse ones.…

Information Theory · Computer Science 2013-05-31 Eugenio Hernández , Daniel Vera

MGARD (MultiGrid Adaptive Reduction of Data) is an algorithm for compressing and refactoring scientific data, based on the theory of multigrid methods. The core algorithm is built around stable multilevel decompositions of conforming…

Numerical Analysis · Mathematics 2024-12-16 Viktor Reshniak , Evan Ferguson , Qian Gong , Nicolas Vidal , Rick Archibald , Scott Klasky

We propose and analyze random subspace variants of the second-order Adaptive Regularization using Cubics (ARC) algorithm. These methods iteratively restrict the search space to some random subspace of the parameters, constructing and…

Optimization and Control · Mathematics 2025-01-17 Coralia Cartis , Zhen Shao , Edward Tansley

This paper presents novel adaptive space-time reduced-rank interference suppression least squares algorithms based on joint iterative optimization of parameter vectors. The proposed space-time reduced-rank scheme consists of a joint…

Information Theory · Computer Science 2013-01-15 Rodrigo C. de Lamare , Raimundo Sampaio-Neto

Semi-structured knowledge bases (SKBs) embed textual documents in a typed graph of entities and relations, and underpin applications such as product search, academic paper search, and precision-medicine inquiries. Existing hybrid retrieval…

Information Retrieval · Computer Science 2026-05-29 Yicheng Tao , Yiqun Wang , Xiangchen Song , Xin Luo , Kai Liu , Jie Liu

Low-rank modeling plays a pivotal role in signal processing and machine learning, with applications ranging from collaborative filtering, video surveillance, medical imaging, to dimensionality reduction and adaptive filtering. Many modern…

Machine Learning · Statistics 2018-05-04 Yudong Chen , Yuejie Chi

Selecting a solution algorithm for the Facility Layout Problem (FLP), an NP-hard optimization problem with multiobjective trade-off, is a complex task that requires deep expert knowledge. The performance of a given algorithm depends on the…

Information Retrieval · Computer Science 2025-12-17 Nikhil N S , Bilal Muhammed , Soban Babu Beemaraj , Amol Dilip Joshi

This paper considers the problem of minimizing the sum of a smooth function and the Schatten-$p$ norm of the matrix. Our contribution involves proposing accelerated iteratively reweighted nuclear norm methods designed for solving the…

Optimization and Control · Mathematics 2024-06-27 Hao Wang , Ye Wang , Xiangyu Yang

We study gradient compression methods to alleviate the communication bottleneck in data-parallel distributed optimization. Despite the significant attention received, current compression schemes either do not scale well or fail to achieve…

Machine Learning · Computer Science 2020-02-19 Thijs Vogels , Sai Praneeth Karimireddy , Martin Jaggi
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