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Training neural networks with discrete stochastic variables presents a unique challenge. Backpropagation is not directly applicable, nor are the reparameterization tricks used in networks with continuous stochastic variables. To address…

Machine Learning · Computer Science 2021-12-17 Kenny Young

Convolutional Neural Networks (CNNs) has revolutionized computer vision, but training very deep networks has been challenging due to the vanishing gradient problem. This paper explores Residual Networks (ResNet), introduced by He et al.…

Computer Vision and Pattern Recognition · Computer Science 2025-10-29 Xingyu Liu , Kun Ming Goh

The Information Bottleneck (IB) principle offers an information-theoretic framework for analyzing the training process of deep neural networks (DNNs). Its essence lies in tracking the dynamics of two mutual information (MI) values: between…

Machine Learning · Computer Science 2024-05-10 Ivan Butakov , Alexander Tolmachev , Sofia Malanchuk , Anna Neopryatnaya , Alexey Frolov , Kirill Andreev

Many unsupervised hashing methods are implicitly established on the idea of reconstructing the input data, which basically encourages the hashing codes to retain as much information of original data as possible. However, this requirement…

Computer Vision and Pattern Recognition · Computer Science 2021-05-20 Zexuan Qiu , Qinliang Su , Zijing Ou , Jianxing Yu , Changyou Chen

The backpropagation algorithm has promoted the rapid development of deep learning, but it relies on a large amount of labeled data and still has a large gap with how humans learn. The human brain can quickly learn various conceptual…

Neural and Evolutionary Computing · Computer Science 2023-04-25 Yiting Dong , Dongcheng Zhao , Yang Li , Yi Zeng

The information bottleneck principle is an elegant and useful approach to representation learning. In this paper, we investigate the problem of representation learning in the context of reinforcement learning using the information…

Machine Learning · Computer Science 2019-11-14 Pei Yingjun , Hou Xinwen

Binary Neural Networks (BNNs) significantly reduce computational complexity and memory usage in machine and deep learning by representing weights and activations with just one bit. However, most existing training algorithms for BNNs rely on…

Machine Learning · Computer Science 2025-12-08 Luca Colombo , Fabrizio Pittorino , Manuel Roveri

We study the convergence of gradient descent (GD) and stochastic gradient descent (SGD) for training $L$-hidden-layer linear residual networks (ResNets). We prove that for training deep residual networks with certain linear transformations…

Machine Learning · Computer Science 2020-03-03 Difan Zou , Philip M. Long , Quanquan Gu

Evaluation of statistical dependencies between two data samples is a basic problem of data science/machine learning, and HSIC (Hilbert-Schmidt Information Criterion)~\cite{HSIC} is considered the state-of-art method. However, for size $n$…

Machine Learning · Computer Science 2025-09-03 Jarek Duda , Jagoda Bracha , Adrian Przybysz

We provide a discussion of several recent results which, in certain scenarios, are able to overcome a barrier in distributed stochastic optimization for machine learning. Our focus is the so-called asymptotic network independence property,…

Optimization and Control · Mathematics 2020-02-19 Shi Pu , Alex Olshevsky , Ioannis Ch. Paschalidis

We present multiplexed gradient descent (MGD), a gradient descent framework designed to easily train analog or digital neural networks in hardware. MGD utilizes zero-order optimization techniques for online training of hardware neural…

Machine Learning · Computer Science 2023-08-17 Adam N. McCaughan , Bakhrom G. Oripov , Natesh Ganesh , Sae Woo Nam , Andrew Dienstfrey , Sonia M. Buckley

Deep neural networks (DNNs) are the de facto standard for essential use cases, such as image classification, computer vision, and natural language processing. As DNNs and datasets get larger, they require distributed training on…

Machine Learning · Computer Science 2024-03-07 Minghao Li , Ran Ben Basat , Shay Vargaftik , ChonLam Lao , Kevin Xu , Michael Mitzenmacher , Minlan Yu

Testing the dependency between two random variables is an important inference problem in statistics since many statistical procedures rely on the assumption that the two samples are independent. To test whether two samples are independent,…

Methodology · Statistics 2023-01-04 Jin-Ting Zhang , Tianming Zhu

In this work we propose a framework for improving the performance of any deep neural network that may suffer from vanishing gradients. To address the vanishing gradient issue, we study a framework, where we insert an intermediate output…

Computer Vision and Pattern Recognition · Computer Science 2019-05-31 Yi Zhou , Yue Bai , Shuvra S. Bhattacharyya , Heikki Huttunen

Despite the notable success of deep neural networks (DNNs) in solving complex tasks, the training process still remains considerable challenges. A primary obstacle is the substantial time required for training, particularly as high…

Machine Learning · Computer Science 2025-09-09 Viet Hoang Pham , Hyo-Sung Ahn

In this work, we propose Cell Variational Information Bottleneck Network (cellVIB), a convolutional neural network using information bottleneck mechanism, which can be combined with the latest feedforward network architecture in an…

Computer Vision and Pattern Recognition · Computer Science 2024-04-01 Zhonghua Zhai , Chen Ju , Jinsong Lan , Shuai Xiao

Continual learning, the ability to acquire new tasks sequentially without forgetting prior knowledge, is essential for deploying neural networks in dynamic real-world environments, from nuclear digital twin monitoring to grid-edge fault…

Neural and Evolutionary Computing · Computer Science 2026-04-21 Samrendra Roy , Kazuma Kobayashi , Souvik Chakraborty , Sajedul Talukder , Syed Bahauddin Alam

Gradient descent yields zero training loss in polynomial time for deep neural networks despite non-convex nature of the objective function. The behavior of network in the infinite width limit trained by gradient descent can be described by…

Machine Learning · Computer Science 2023-05-29 Yuqing Li , Tao Luo , Nung Kwan Yip

Deep spiking neural networks (SNNs) are promising neural networks for their model capacity from deep neural network architecture and energy efficiency from SNNs' operations. To train deep SNNs, recently, spatio-temporal backpropagation…

Neural and Evolutionary Computing · Computer Science 2023-08-02 Seongsik Park , Jeonghee Jo , Jongkil Park , Yeonjoo Jeong , Jaewook Kim , Suyoun Lee , Joon Young Kwak , Inho Kim , Jong-Keuk Park , Kyeong Seok Lee , Gye Weon Hwang , Hyun Jae Jang

The Spiking Neural Network (SNN) is a biologically inspired neural network infrastructure that has recently garnered significant attention. It utilizes binary spike activations to transmit information, thereby replacing multiplications with…

Computer Vision and Pattern Recognition · Computer Science 2024-10-01 Yufei Guo , Yuanpei Chen , Zecheng Hao , Weihang Peng , Zhou Jie , Yuhan Zhang , Xiaode Liu , Zhe Ma
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