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A vast amount of literature has recently focused on the "Neural Collapse" (NC) phenomenon, which emerges when training neural network (NN) classifiers beyond the zero training error point. The core component of NC is the decrease in the…

机器学习 · 计算机科学 2025-04-28 Vignesh Kothapalli , Tom Tirer

We consider compressive imaging problems, where images are reconstructed from a reduced number of linear measurements. Our objective is to improve over existing compressive imaging algorithms in terms of both reconstruction error and…

信息论 · 计算机科学 2015-06-19 Jin Tan , Yanting Ma , Dror Baron

This paper aims to present the first Frequentist framework on signal region detection in high-resolution and high-order image regression problems. Image data and scalar-on-image regression are intensively studied in recent years. However,…

计算机视觉与模式识别 · 计算机科学 2022-10-18 Sanyou Wu , Long Feng

The damped Gauss-Newton (dGN) algorithm for CANDECOMP/PARAFAC (CP) decomposition can handle the challenges of collinearity of factors and different magnitudes of factors; nevertheless, for factorization of an $N$-D tensor of size $I_1\times…

数值分析 · 计算机科学 2015-03-20 Anh Huy Phan , Petr Tichavský , Andrzej Cichocki

Constrained adaptive filtering algorithms inculding constrained least mean square (CLMS), constrained affine projection (CAP) and constrained recursive least squares (CRLS) have been extensively studied in many applications. Most existing…

机器学习 · 统计学 2016-12-15 Siyuan Peng , Badong Chen , Lei Sun , Zhiping Lin , Wee Ser

Researchers are exploring novel computational paradigms such as sparse coding and neuromorphic computing to bridge the efficiency gap between the human brain and conventional computers in complex tasks. A key area of focus is neuromorphic…

音频与语音处理 · 电气工程与系统科学 2025-09-01 Soufiyan Bahadi , Eric Plourde , Jean Rouat

Nonnegative matrix factorization (NMF) has become a ubiquitous tool for data analysis. An important variant is the sparse NMF problem which arises when we explicitly require the learnt features to be sparse. A natural measure of sparsity is…

The selective fixed-filter active noise control (SFANC) method selecting the best pre-trained control filters for various types of noise can achieve a fast response time. However, it may lead to large steady-state errors due to inaccurate…

系统与控制 · 电气工程与系统科学 2023-03-13 Zhengding Luo , Dongyuan Shi , Woon-Seng Gan

The decomposition or approximation of a linear operator on a matrix space as a sum of Kronecker products plays an important role in matrix equations and low-rank modeling. The approximation problem in Frobenius norm admits a well-known…

最优化与控制 · 数学 2023-12-08 Mareike Dressler , André Uschmajew , Venkat Chandrasekaran

Modern low-field magnetic resonance imaging (MRI) technology offers a compelling alternative to standard high-field MRI, with portable, low-cost systems. However, its clinical utility is limited by a low Signal-to-Noise Ratio (SNR), which…

图像与视频处理 · 电气工程与系统科学 2026-05-13 Tal Oved , Efrat Shimron

Many convolutional neural networks (CNNs) rely on progressive downsampling of their feature maps to increase the network's receptive field and decrease computational cost. However, this comes at the price of losing granularity in the…

计算机视觉与模式识别 · 计算机科学 2023-05-17 Robin Hesse , Simone Schaub-Meyer , Stefan Roth

We propose the first adversarially robust algorithm for monotone submodular maximization under single and multiple knapsack constraints with scalable implementations in distributed and streaming settings. For a single knapsack constraint,…

数据结构与算法 · 计算机科学 2019-05-08 Dmitrii Avdiukhin , Slobodan Mitrović , Grigory Yaroslavtsev , Samson Zhou

Nonlinear model predictive control~(NMPC) generally requires the solution of a non-convex optimization problem at each sampling instant under strict timing constraints, based on a set of differential equations that can often be stiff and/or…

最优化与控制 · 数学 2019-03-22 Pedro Hespanhol , Rien Quirynen

A robust algorithm for non-negative matrix factorization (NMF) is presented in this paper with the purpose of dealing with large-scale data, where the separability assumption is satisfied. In particular, we modify the Linear Programming…

机器学习 · 统计学 2014-01-10 Jason Gejie Liu , Shuchin Aeron

To date most linear and nonlinear Kalman filters (KFs) have been developed under the Gaussian assumption and the well-known minimum mean square error (MMSE) criterion. In order to improve the robustness with respect to impulsive (or…

系统与控制 · 计算机科学 2019-04-18 Badong Chen , Lujuan Dang , Yuantao Gu , Nanning Zheng , Jose C. Prıncipe

Often, large, high dimensional datasets collected across multiple modalities can be organized as a higher order tensor. Low-rank tensor decomposition then arises as a powerful and widely used tool to discover simple low dimensional…

机器学习 · 统计学 2020-01-29 Jonathan Kadmon , Surya Ganguli

In this paper, we propose and study a technique to reduce the number of parameters and computation time in convolutional neural networks. We use Kronecker product to exploit the local structures within convolution and fully-connected…

计算机视觉与模式识别 · 计算机科学 2016-02-05 Shuchang Zhou , Jia-Nan Wu , Yuxin Wu , Xinyu Zhou

Even though Nearest Neighbor Gaussian Processes (NNGP) alleviate considerably MCMC implementation of Bayesian space-time models, they do not solve the convergence problems caused by high model dimension. Frugal alternatives such as response…

统计计算 · 统计学 2021-09-15 Sébastien Coube-Sisqueille , Benoît Liquet

GPT is an auto-regressive Transformer-based pre-trained language model which has attracted a lot of attention in the natural language processing (NLP) domain due to its state-of-the-art performance in several downstream tasks. The success…

计算与语言 · 计算机科学 2021-10-18 Ali Edalati , Marzieh Tahaei , Ahmad Rashid , Vahid Partovi Nia , James J. Clark , Mehdi Rezagholizadeh

The problem of non-monotone $k$-submodular maximization under a knapsack constraint ($\kSMK$) over the ground set size $n$ has been raised in many applications in machine learning, such as data summarization, information propagation, etc.…

数据结构与算法 · 计算机科学 2023-09-22 Dung T. K. Ha , Canh V. Pham , Tan D. Tran , Huan X. Hoang