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We investigate the methods that simultaneously enforce sparsity and low-rank structure in a matrix as often employed for sparse phase retrieval problems or phase calibration problems in compressive sensing. We propose a new approach for…

Numerical Analysis · Computer Science 2014-03-20 Cagdas Bilen , Gilles Puy , Rémi Gribonval , Laurent Daudet

In the field of data mining, how to deal with high-dimensional data is an inevitable problem. Unsupervised feature selection has attracted more and more attention because it does not rely on labels. The performance of spectral-based…

Machine Learning · Computer Science 2021-01-01 Zhengxin Li , Feiping Nie , Jintang Bian , Xuelong Li

Sparse neural networks are a key factor in developing resource-efficient machine learning applications. We propose the novel and powerful sparse learning method Adaptive Regularized Training (ART) to compress dense into sparse networks.…

Computer Vision and Pattern Recognition · Computer Science 2023-08-17 Patrick Glandorf , Timo Kaiser , Bodo Rosenhahn

We study the implicit regularization of gradient descent towards structured sparsity via a novel neural reparameterization, which we call a diagonally grouped linear neural network. We show the following intriguing property of our…

Machine Learning · Statistics 2023-01-31 Jiangyuan Li , Thanh V. Nguyen , Chinmay Hegde , Raymond K. W. Wong

Learning governing equations from a family of data sets which share the same physical laws but differ in bifurcation parameters is challenging. This is due, in part, to the wide range of phenomena that could be represented in the data sets…

Numerical Analysis · Mathematics 2017-09-07 Hayden Schaeffer , Giang Tran , Rachel Ward

This paper addresses the problem of joint downlink channel estimation and user grouping in massive multiple-input multiple-output (MIMO) systems, where the motivation comes from the fact that the channel estimation performance can be…

Signal Processing · Electrical Eng. & Systems 2019-01-30 Jisheng Dai , An Liu , Vincent K. N. Lau

We address the problem of prediction of multivariate data process using an underlying graph model. We develop a method that learns a sparse partial correlation graph in a tuning-free and computationally efficient manner. Specifically, the…

Machine Learning · Statistics 2018-11-19 Arun Venkitaraman , Dave Zachariah

Subspace clustering refers to the problem of segmenting data drawn from a union of subspaces. State-of-the-art approaches for solving this problem follow a two-stage approach. In the first step, an affinity matrix is learned from the data…

Computer Vision and Pattern Recognition · Computer Science 2017-04-06 Chun-Guang Li , Chong You , René Vidal

Sparse coding, which represents a data point as a sparse reconstruction code with regard to a dictionary, has been a popular data representation method. Meanwhile, in database retrieval problems, learning the ranking scores from data points…

Computer Vision and Pattern Recognition · Computer Science 2016-11-03 Jim Jing-Yan Wang , Xuefeng Cui , Ge Yu , Lili Guo , Xin Gao

Multitask learning (MTL) aims to learn multiple tasks simultaneously through the interdependence between different tasks. The way to measure the relatedness between tasks is always a popular issue. There are mainly two ways to measure…

Machine Learning · Computer Science 2019-04-04 Ya Li , Xinmei Tian , Tongliang Liu , Dacheng Tao

We study the problem of learning a sparse linear regression vector under additional conditions on the structure of its sparsity pattern. This problem is relevant in machine learning, statistics and signal processing. It is well known that a…

Machine Learning · Statistics 2015-03-17 Charles A. Micchelli , Jean M. Morales , Massimiliano Pontil

We present a Bayesian method for feature selection in the presence of grouping information with sparsity on the between- and within group level. Instead of using a stochastic algorithm for parameter inference, we employ expectation…

Machine Learning · Statistics 2018-09-26 Edgar Steiger , Martin Vingron

In the quest for efficient neural network models for neural data interpretation and user intent classification in brain-computer interfaces (BCIs), learning meaningful sparse representations of the underlying neural subspaces is crucial.…

Machine Learning · Computer Science 2023-12-12 Hye-Bin Shin , Kang Yin , Seong-Whan Lee

With the prevalence of social media, there has recently been a proliferation of recommenders that shift their focus from individual modeling to group recommendation. Since the group preference is a mixture of various predilections from…

Information Retrieval · Computer Science 2022-03-22 Junwei Zhang , Min Gao , Junliang Yu , Lei Guo , Jundong Li , Hongzhi Yin

The discovery of the theory of compressed sensing brought the realisation that many inverse problems can be solved even when measurements are "incomplete". This is particularly interesting in magnetic resonance imaging (MRI), where long…

Sparse regression and feature extraction are the cornerstones of knowledge discovery from massive data. Their goal is to discover interpretable and predictive models that provide simple relationships among scientific variables. While the…

Machine Learning · Computer Science 2024-01-17 Jeremy A. McCulloch , Skyler R. St. Pierre , Kevin Linka , Ellen Kuhl

Although sparse neural networks have been studied extensively, the focus has been primarily on accuracy. In this work, we focus instead on network structure, and analyze three popular algorithms. We first measure performance when structure…

Machine Learning · Computer Science 2020-12-02 Maxwell Van Gelder , Mitchell Wortsman , Kiana Ehsani

Deep reinforcement learning has achieved many impressive results in recent years. However, tasks with sparse rewards or long horizons continue to pose significant challenges. To tackle these important problems, we propose a general…

Artificial Intelligence · Computer Science 2017-04-12 Carlos Florensa , Yan Duan , Pieter Abbeel

Deep learning has been wildly successful in practice and most state-of-the-art machine learning methods are based on neural networks. Lacking, however, is a rigorous mathematical theory that adequately explains the amazing performance of…

Machine Learning · Statistics 2023-10-03 Rahul Parhi , Robert D. Nowak

Multi-task learning aims to boost the generalization performance of multiple related tasks simultaneously by leveraging information contained in those tasks. In this paper, we propose a multi-task learning framework, where we utilize prior…

Machine Learning · Computer Science 2023-01-05 Mengyuan Zhang , Kai Liu