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Dimension reduction is often needed in the area of data mining. The goal of these methods is to map the given high-dimensional data into a low-dimensional space preserving certain properties of the initial data. There are two kinds of…

数值分析 · 数学 2015-03-23 Yanlai Chen

Deep neural network architectures have recently produced excellent results in a variety of areas in artificial intelligence and visual recognition, well surpassing traditional shallow architectures trained using hand-designed features. The…

计算机视觉与模式识别 · 计算机科学 2016-04-15 Catalin Ionescu , Orestis Vantzos , Cristian Sminchisescu

Unitary matrices are the basis of a large number of signal processing applications. In many of these applications, finding ways to efficiently store, and even transmit these matrices, can significantly reduce memory and throughput…

信号处理 · 电气工程与系统科学 2025-10-07 Juan Vidal Alegría

We introduce and compare new compression approaches to obtain regularized solutions of large linear systems which are commonly encountered in large scale inverse problems. We first describe how to approximate matrix vector operations with a…

数值分析 · 数学 2016-08-12 Sergey Voronin , Dylan Mikesell , Guust Nolet

Nonnegative matrix factorization (NMF) has become a widely used tool for the analysis of high-dimensional data as it automatically extracts sparse and meaningful features from a set of nonnegative data vectors. We first illustrate this…

机器学习 · 统计学 2014-12-10 Nicolas Gillis

With the proliferation of Graph Neural Network (GNN) methods stemming from contrastive learning, unsupervised node representation learning for graph data is rapidly gaining traction across various fields, from biology to molecular dynamics,…

机器学习 · 计算机科学 2024-08-01 Jihee You , So Won Jeong , Claire Donnat

Recent neural solvers have achieved strong performance on vehicle routing problems (VRPs), yet they mainly assume symmetric Euclidean distances, restricting applicability to real-world scenarios. A core challenge is encoding the relational…

机器学习 · 计算机科学 2026-03-06 Hang Yi , Ziwei Huang , Yining Ma , Zhiguang Cao

The Randomized Singular Value Decomposition (RSVD) is a widely used algorithm for efficiently computing low-rank approximations of large matrices, without the need to construct a full-blown SVD. Of interest, of course, is the approximation…

数值分析 · 数学 2025-10-09 Danil Akhtiamov , Reza Ghane , Babak Hassibi

Nonnegative matrix factorization (NMF) is a powerful technique for dimension reduction, extracting latent factors and learning part-based representation. For large datasets, NMF performance depends on some major issues: fast algorithms,…

最优化与控制 · 数学 2015-07-01 Duy-Khuong Nguyen , Tu-Bao Ho

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…

机器学习 · 统计学 2018-05-04 Yudong Chen , Yuejie Chi

We introduce and investigate matrix approximation by decomposition into a sum of radial basis function (RBF) components. An RBF component is a generalization of the outer product between a pair of vectors, where an RBF function replaces the…

机器学习 · 计算机科学 2021-06-25 Elizaveta Rebrova , Yu-Hang Tang

In the next generation wireless networks, lowlatency communication is critical to support emerging diversified applications, e.g., Tactile Internet and Virtual Reality. In this paper, a novel blind demixing approach is developed to reduce…

信息论 · 计算机科学 2018-12-07 Jialin Dong , Kai Yang , Yuanming Shi

We propose a unified framework to speed up the existing stochastic matrix factorization (SMF) algorithms via variance reduction. Our framework is general and it subsumes several well-known SMF formulations in the literature. We perform a…

机器学习 · 统计学 2017-05-23 Renbo Zhao , William B. Haskell , Jiashi Feng

We propose a generic framework based on a new stochastic variance-reduced gradient descent algorithm for accelerating nonconvex low-rank matrix recovery. Starting from an appropriate initial estimator, our proposed algorithm performs…

机器学习 · 统计学 2017-01-20 Lingxiao Wang , Xiao Zhang , Quanquan Gu

Deep Neural Networks (DNNs) have encountered an emerging deployment challenge due to large and expensive memory and computation requirements. In this paper, we present a new Adaptive-Rank Singular Value Decomposition (ARSVD) method that…

机器学习 · 计算机科学 2025-05-13 Kalyan Cherukuri , Aarav Lala

Non-negative matrix factorization (NMF) is a matrix decomposition problem with applications in unsupervised learning. The general form of this problem (along with many of its variants) is NP-hard in nature. In our work, we explore how this…

We propose a novel neural architecture for computer vision -- WaveMix -- that is resource-efficient and yet generalizable and scalable. While using fewer trainable parameters, GPU RAM, and computations, WaveMix networks achieve comparable…

计算机视觉与模式识别 · 计算机科学 2024-04-02 Pranav Jeevan , Kavitha Viswanathan , Anandu A S , Amit Sethi

This work proposes an algorithm, called NetAdapt, that automatically adapts a pre-trained deep neural network to a mobile platform given a resource budget. While many existing algorithms simplify networks based on the number of MACs or…

计算机视觉与模式识别 · 计算机科学 2018-10-02 Tien-Ju Yang , Andrew Howard , Bo Chen , Xiao Zhang , Alec Go , Mark Sandler , Vivienne Sze , Hartwig Adam

Compact neural network offers many benefits for real-world applications. However, it is usually challenging to train the compact neural networks with small parameter sizes and low computational costs to achieve the same or better model…

机器学习 · 计算机科学 2023-08-28 Shen Ren , Haosen Shi

Unsupervised integrative analysis of multiple data sources has become common place and scalable algorithms are necessary to accommodate ever increasing availability of data. Only few currently methods have estimation speed as their focus,…

统计方法学 · 统计学 2024-05-17 Felix Held