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Spectral graph sparsification aims to find ultra-sparse subgraphs which can preserve spectral properties of original graphs. In this paper, a new spectral criticality metric based on trace reduction is first introduced for identifying…

Data Structures and Algorithms · Computer Science 2022-06-14 Zhiqiang Liu , Wenjian Yu

Image structure-texture decomposition is a long-standing and fundamental problem in both image processing and computer vision fields. In this paper, we propose a generalized semi-sparse regularization framework for image structural analysis…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Junqing Huang , Haihui Wang , Michael Ruzhansky

Modern Machine learning techniques take advantage of the exponentially rising calculation power in new generation processor units. Thus, the number of parameters which are trained to resolve complex tasks was highly increased over the last…

Neural and Evolutionary Computing · Computer Science 2020-05-21 Richard C. Gerum , André Erpenbeck , Patrick Krauss , Achim Schilling

Graph sparsification aims to reduce the number of edges of a graph while maintaining its structural properties. In this paper, we propose the first general and effective information-theoretic formulation of graph sparsification, by taking…

Machine Learning · Computer Science 2022-06-02 Shujian Yu , Francesco Alesiani , Wenzhe Yin , Robert Jenssen , Jose C. Principe

Deep neural networks have become very popular in modeling complex nonlinear processes due to their extraordinary ability to fit arbitrary nonlinear functions from data with minimal expert intervention. However, they are almost always…

Chemical Physics · Physics 2023-01-16 Erlend Torje Berg Lundby , Adil Rasheed , Ivar Johan Halvorsen , Jan Tommy Gravdahl

Due to the significant computational challenge of training large-scale graph neural networks (GNNs), various sparse learning techniques have been exploited to reduce memory and storage costs. Examples include \textit{graph sparsification}…

Machine Learning · Computer Science 2023-02-07 Shuai Zhang , Meng Wang , Pin-Yu Chen , Sijia Liu , Songtao Lu , Miao Liu

Real time application of deep learning algorithms is often hindered by high computational complexity and frequent memory accesses. Network pruning is a promising technique to solve this problem. However, pruning usually results in irregular…

Neural and Evolutionary Computing · Computer Science 2015-12-31 Sajid Anwar , Kyuyeon Hwang , Wonyong Sung

This is the second of two papers to describe a matrix sparsification algorithm that takes a general real or complex matrix as input and produces a sparse output matrix of the same size. The first paper presented the original algorithm, its…

Numerical Analysis · Mathematics 2013-04-29 Chetan Jhurani

We address the problem of map sparsification for long-term visual localization. For map sparsification, a commonly employed assumption is that the pre-build map and the later captured localization query are consistent. However, this…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Ming-Fang Chang , Yipu Zhao , Rajvi Shah , Jakob J. Engel , Michael Kaess , Simon Lucey

Graph Spectral Sparsification (GSS) identifies an ultra-sparse subgraph, or sparsifier, whose Laplacian matrix closely approximates the spectral properties of the original graph, enabling substantial reductions in computational complexity…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-29 Tiancheng Zhao , Zekun Yin , Huihai An , Xiaoyu Yang , Zhou Jin , Jiasi Shen , Helen Xu

High-resolution semantic segmentation requires substantial computational resources. Traditional approaches in the field typically downscale the input images before processing and then upscale the low-resolution outputs back to their…

Computer Vision and Pattern Recognition · Computer Science 2024-02-09 Ritambhara Singh , Abhishek Jain , Pietro Perona , Shivani Agarwal , Junfeng Yang

Artificial neural networks (ANNs) especially deep convolutional networks are very popular these days and have been proved to successfully offer quite reliable solutions to many vision problems. However, the use of deep neural networks is…

Machine Learning · Computer Science 2020-07-28 Yangzi Guo , Yiyuan She , Adrian Barbu

A concept of higher order neighborhood in complex networks, introduced previously (PRE \textbf{73}, 046101, (2006)), is systematically explored to investigate larger scale structures in complex networks. The basic idea is to consider each…

Statistical Mechanics · Physics 2016-08-16 Roberto F. S. Andrade , José G. V. Miranda , Suani T. R. Pinho , Thierry Petit Lobão

Federated learning (FL) enables distributed clients to collaboratively train a machine learning model without sharing raw data with each other. However, it suffers the leakage of private information from uploading models. In addition, as…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-25 Kang Wei , Jun Li , Chuan Ma , Ming Ding , Feng Shu , Haitao Zhao , Wen Chen , Hongbo Zhu

We present a novel network pruning algorithm called Dynamic Sparse Training that can jointly find the optimal network parameters and sparse network structure in a unified optimization process with trainable pruning thresholds. These…

Machine Learning · Computer Science 2020-05-15 Junjie Liu , Zhe Xu , Runbin Shi , Ray C. C. Cheung , Hayden K. H. So

The centrality in a network is often used to measure nodes' importance and model network effects on a certain outcome. Empirical studies widely adopt a two-stage procedure, which first estimates the centrality from the observed noisy…

Econometrics · Economics 2025-02-26 Junhui Cai , Dan Yang , Ran Chen , Wu Zhu , Haipeng Shen , Linda Zhao

Generative graph models struggle to scale due to the need to predict the existence or type of edges between all node pairs. To address the resulting quadratic complexity, existing scalable models often impose restrictive assumptions such as…

Machine Learning · Computer Science 2024-05-24 Yiming Qin , Clement Vignac , Pascal Frossard

We propose a statistical model for graphs with a core-periphery structure. To do this we define a precise notion of what it means for a graph to have this structure, based on the sparsity properties of the subgraphs of core and periphery…

Methodology · Statistics 2019-10-23 Cian Naik , François Caron , Judith Rousseau

Nowadays, the number of layers and of neurons in each layer of a deep network are typically set manually. While very deep and wide networks have proven effective in general, they come at a high memory and computation cost, thus making them…

Computer Vision and Pattern Recognition · Computer Science 2018-10-12 Jose M Alvarez , Mathieu Salzmann

Neural network sparsification is a promising avenue to save computational time and memory costs, especially in an age where many successful AI models are becoming too large to na\"ively deploy on consumer hardware. While much work has…

Machine Learning · Computer Science 2024-11-06 Rayen Dhahri , Alexander Immer , Betrand Charpentier , Stephan Günnemann , Vincent Fortuin