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The iterations of many sparse estimation algorithms are comprised of a fixed linear filter cascaded with a thresholding nonlinearity, which collectively resemble a typical neural network layer. Consequently, a lengthy sequence of algorithm…

机器学习 · 计算机科学 2016-05-11 Bo Xin , Yizhou Wang , Wen Gao , David Wipf

Sparse regression on a library of candidate features has developed as the prime method to discover the partial differential equation underlying a spatio-temporal data-set. These features consist of higher order derivatives, limiting model…

机器学习 · 计算机科学 2021-05-05 Gert-Jan Both , Gijs Vermarien , Remy Kusters

Sparse model is widely used in hyperspectral image classification.However, different of sparsity and regularization parameters has great influence on the classification results.In this paper, a novel adaptive sparse deep network based on…

图像与视频处理 · 电气工程与系统科学 2019-10-22 Jingwen Yan , Zixin Xie , Jingyao Chen , Yinan Liu , Lei Liu

This paper proposes to learn high-performance deep ConvNets with sparse neural connections, referred to as sparse ConvNets, for face recognition. The sparse ConvNets are learned in an iterative way, each time one additional layer is…

计算机视觉与模式识别 · 计算机科学 2015-12-08 Yi Sun , Xiaogang Wang , Xiaoou Tang

We present a framework to define a large class of neural networks for which, by construction, training by gradient flow provably reaches arbitrarily low loss when the number of parameters grows. Distinct from the fixed-space global…

最优化与控制 · 数学 2025-01-13 David A. R. Robin , Kevin Scaman , Marc Lelarge

Neural network pruning is a key technique towards engineering large yet scalable, interpretable, and generalizable models. Prior work on the subject has developed largely along two orthogonal directions: (1) differentiable pruning for…

机器学习 · 计算机科学 2025-02-12 Taisuke Yasuda , Kyriakos Axiotis , Gang Fu , MohammadHossein Bateni , Vahab Mirrokni

We present a novel Bayesian approach for high-dimensional grouped regression under sparsity. We leverage a sparse projection method that uses a sparsity-inducing map to derive an induced posterior on a lower-dimensional parameter space. Our…

统计方法学 · 统计学 2026-05-25 Samhita Pal , Subhashis Ghosal

The training of sparse neural networks is becoming an increasingly important tool for reducing the computational footprint of models at training and evaluation, as well enabling the effective scaling up of models. Whereas much work over the…

Sparse regression and classification estimators that respect group structures have application to an assortment of statistical and machine learning problems, from multitask learning to sparse additive modeling to hierarchical selection.…

统计方法学 · 统计学 2024-03-11 Ryan Thompson , Farshid Vahid

Optimizing with group sparsity is significant in enhancing model interpretability in machining learning applications, e.g., feature selection, compressed sensing and model compression. However, for large-scale stochastic training problems,…

最优化与控制 · 数学 2021-02-16 Tianyi Chen , Guanyi Wang , Tianyu Ding , Bo Ji , Sheng Yi , Zhihui Zhu

We propose an efficient strategy to infer sparse Hopfield network based on magnetizations and pairwise correlations measured through Glauber samplings. This strategy incorporates the $\ell_{1}$ regularization into the Bethe approximation by…

统计力学 · 物理学 2013-11-28 Haiping Huang

Deep Neural Networks have been used in a wide variety of applications with significant success. However, their highly complex nature owing to comprising millions of parameters has lead to problems during deployment in pipelines with low…

机器学习 · 计算机科学 2022-08-15 Elvis Johnson , Xiaochen Tang , Sriramacharyulu Samudrala

In this paper, a sparsity-aware adaptive algorithm for distributed learning in diffusion networks is developed. The algorithm follows the set-theoretic estimation rationale. At each time instance and at each node of the network, a closed…

信息论 · 计算机科学 2015-06-03 Symeon Chouvardas , Konstantinos Slavakis , Yannis Kopsinis , Sergios Theodoridis

Sparse deep neural networks have shown their advantages over dense models with fewer parameters and higher computational efficiency. Here we demonstrate constraining the synaptic weights on unit Lp-sphere enables the flexibly control of the…

机器学习 · 计算机科学 2021-03-31 Weipeng Li , Xiaogang Yang , Chuanxiang Li , Ruitao Lu , Xueli Xie

Over-parameterization of deep neural networks (DNNs) has shown high prediction accuracy for many applications. Although effective, the large number of parameters hinders its popularity on resource-limited devices and has an outsize…

机器学习 · 计算机科学 2023-04-25 Shaoyi Huang , Bowen Lei , Dongkuan Xu , Hongwu Peng , Yue Sun , Mimi Xie , Caiwen Ding

Neural networks have seen limited use in prediction for high-dimensional data with small sample sizes, because they tend to overfit and require tuning many more hyperparameters than existing off-the-shelf machine learning methods. With…

机器学习 · 统计学 2020-05-12 Jean Feng , Noah Simon

This paper presents a novel projection-based adaptive algorithm for sparse signal and system identification. The sequentially observed data are used to generate an equivalent sequence of closed convex sets, namely hyperslabs. Each hyperslab…

信息论 · 计算机科学 2015-10-28 Yannis Kopsinis , Konstantinos Slavakis , Sergios Theodoridis

Deep neural networks have made remarkable progresses on various computer vision tasks. Recent works have shown that depth, width and shortcut connections of networks are all vital to their performances. In this paper, we introduce a method…

计算机视觉与模式识别 · 计算机科学 2018-04-17 Wenqi Liu , Kun Zeng

Sparse deep learning aims to address the challenge of huge storage consumption by deep neural networks, and to recover the sparse structure of target functions. Although tremendous empirical successes have been achieved, most sparse deep…

机器学习 · 统计学 2020-11-17 Jincheng Bai , Qifan Song , Guang Cheng

Sparse estimation methods are aimed at using or obtaining parsimonious representations of data or models. While naturally cast as a combinatorial optimization problem, variable or feature selection admits a convex relaxation through the…

机器学习 · 计算机科学 2012-04-23 Francis Bach , Rodolphe Jenatton , Julien Mairal , Guillaume Obozinski