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In the last few years, compression of deep neural networks has become an important strand of machine learning and computer vision research. Deep models require sizeable computational complexity and storage, when used for instance for Human…

Computer Vision and Pattern Recognition · Computer Science 2020-11-10 Ayush Srivastava , Oshin Dutta , Prathosh AP , Sumeet Agarwal , Jigyasa Gupta

The Information Bottleneck (IB) objective uses information theory to formulate a task-performance versus robustness trade-off. It has been successfully applied in the standard discriminative classification setting. We pose the question…

Machine Learning · Computer Science 2021-01-13 Lynton Ardizzone , Radek Mackowiak , Carsten Rother , Ullrich Köthe

Binary Neural Networks (BNNs) are difficult to train, and suffer from drop of accuracy. It appears in practice that BNNs fail to train in the absence of Batch Normalization (BatchNorm) layer. We find the main role of BatchNorm is to avoid…

Machine Learning · Computer Science 2020-04-30 Eyyüb Sari , Mouloud Belbahri , Vahid Partovi Nia

Information plane (IP) analysis has been suggested to study the training dynamics of deep neural networks through mutual information (MI) between inputs, representations, and targets. However, its statistical validity is often compromised…

Machine Learning · Computer Science 2026-05-06 Maximilian Nothnagel , Bernhard C. Geiger

This study proves the two-phase dynamics of a deep neural network (DNN) learning interactions. Despite the long disappointing view of the faithfulness of post-hoc explanation of a DNN, a series of theorems have been proven in recent years…

Machine Learning · Computer Science 2024-11-26 Qihan Ren , Junpeng Zhang , Yang Xu , Yue Xin , Dongrui Liu , Quanshi Zhang

Dynamic brain data, teeming with biological and functional insights, are becoming increasingly accessible through advanced measurements, providing a gateway to understanding the inner workings of the brain in living subjects. However, the…

Neurons and Cognition · Quantitative Biology 2025-08-19 Zixia Zhou , Junyan Liu , Wei Emma Wu , Ruogu Fang , Sheng Liu , Qingyue Wei , Rui Yan , Yi Guo , Qian Tao , Yuanyuan Wang , Md Tauhidul Islam , Lei Xing

To improve how neural networks function it is crucial to understand their learning process. The information bottleneck theory of deep learning proposes that neural networks achieve good generalization by compressing their representations to…

Machine Learning · Computer Science 2023-04-03 Ivan Chelombiev , Conor Houghton , Cian O'Donnell

The success of deep learning has been due, in no small part, to the availability of large annotated datasets. Thus, a major bottleneck in current learning pipelines is the time-consuming human annotation of data. In scenarios where such…

Machine Learning · Computer Science 2021-01-29 Alona Golts , Daniel Freedman , Michael Elad

While binary neural networks (BNNs) offer significant benefits in terms of speed, memory and energy, they encounter substantial accuracy degradation in challenging tasks compared to their real-valued counterparts. Due to the binarization of…

Computer Vision and Pattern Recognition · Computer Science 2025-04-01 Xulong Shi , Caiyi Sun , Zhi Qi , Liu Hao , Xiaodong Yang

In active learning, the size and complexity of the training dataset changes over time. Simple models that are well specified by the amount of data available at the start of active learning might suffer from bias as more points are actively…

Machine Learning · Computer Science 2022-05-05 Chelsea Murray , James U. Allingham , Javier Antorán , José Miguel Hernández-Lobato

As deep neural networks grow in size, from thousands to millions to billions of weights, the performance of those networks becomes limited by our ability to accurately train them. A common naive question arises: if we have a system with…

Machine Learning · Computer Science 2018-05-29 Nathan O. Hodas , Panos Stinis

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

Normalization is fundamental to deep learning, but existing approaches such as BatchNorm, LayerNorm, and RMSNorm are variance-centric by enforcing zero mean and unit variance, stabilizing training without controlling how representations…

Machine Learning · Computer Science 2026-01-30 Xiandong Zou , Jia Li , Xiaotong Yuan , Pan Zhou

Deep learning has become the most powerful machine learning tool in the last decade. However, how to efficiently train deep neural networks remains to be thoroughly solved. The widely used minibatch stochastic gradient descent (SGD) still…

Machine Learning · Computer Science 2021-05-18 Xinyu Peng , Jiawei Zhang , Fei-Yue Wang , Li Li

Representation learning, i.e. the generation of representations useful for downstream applications, is a task of fundamental importance that underlies much of the success of deep neural networks (DNNs). Recently, robustness to adversarial…

Machine Learning · Computer Science 2022-09-16 Christian Cianfarani , Arjun Nitin Bhagoji , Vikash Sehwag , Ben Y. Zhao , Prateek Mittal , Haitao Zheng

Deep neural networks (DNNs) transform stimuli across multiple processing stages to produce representations that can be used to solve complex tasks, such as object recognition in images. However, a full understanding of how they achieve this…

Neurons and Cognition · Quantitative Biology 2018-11-01 David G. T. Barrett , Ari S. Morcos , Jakob H. Macke

Binary Neural Network (BNN) represents convolution weights with 1-bit values, which enhances the efficiency of storage and computation. This paper is motivated by a previously revealed phenomenon that the binary kernels in successful BNNs…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Yikai Wang , Wenbing Huang , Yinpeng Dong , Fuchun Sun , Anbang Yao

In this draft, which reports on work in progress, we 1) adapt the information bottleneck functional by replacing the compression term by class-conditional compression, 2) relax this functional using a variational bound related to…

Machine Learning · Computer Science 2019-06-07 Rana Ali Amjad , Bernhard C. Geiger

Graph Neural Networks (GNNs) have emerged as a powerful and flexible framework for representation learning on irregular data. As they generalize the operations of classical CNNs on grids to arbitrary topologies, GNNs also bring much of the…

Machine Learning · Computer Science 2021-03-31 Mehdi Bahri , Gaétan Bahl , Stefanos Zafeiriou

Deep neural networks (DNNs) have achieved unprecedented performance on a wide range of complex tasks, rapidly outpacing our understanding of the nature of their solutions. This has caused a recent surge of interest in methods for rendering…

Machine Learning · Statistics 2017-06-30 Samuel Ritter , David G. T. Barrett , Adam Santoro , Matt M. Botvinick
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