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Deep Neural Networks (DNNs) are analyzed via the theoretical framework of the information bottleneck (IB) principle. We first show that any DNN can be quantified by the mutual information between the layers and the input and output…

机器学习 · 计算机科学 2015-03-10 Naftali Tishby , Noga Zaslavsky

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…

机器学习 · 计算机科学 2024-05-10 Ivan Butakov , Alexander Tolmachev , Sofia Malanchuk , Anna Neopryatnaya , Alexey Frolov , Kirill Andreev

Compact neural networks are essential for affordable and power efficient deep learning solutions. Binary Neural Networks (BNNs) take compactification to the extreme by constraining both weights and activations to two levels, $\{+1, -1\}$.…

机器学习 · 计算机科学 2020-06-16 Vishnu Raj , Nancy Nayak , Sheetal Kalyani

Recent years, many researches attempt to open the black box of deep neural networks and propose a various of theories to understand it. Among them, Information Bottleneck (IB) theory claims that there are two distinct phases consisting of…

机器学习 · 统计学 2021-02-22 Junjie Li , Ding Liu

Deep Neural Nets (DNNs) learn latent representations induced by their downstream task, objective function, and other parameters. The quality of the learned representations impacts the DNN's generalization ability and the coherence of the…

机器学习 · 计算机科学 2024-02-13 Nir Weingarten , Zohar Yakhini , Moshe Butman , Ran Gilad-Bachrach

We study the flow of information and the evolution of internal representations during deep neural network (DNN) training, aiming to demystify the compression aspect of the information bottleneck theory. The theory suggests that DNN training…

Although deep neural networks have been immensely successful, there is no comprehensive theoretical understanding of how they work or are structured. As a result, deep networks are often seen as black boxes with unclear interpretations and…

机器学习 · 计算机科学 2022-02-22 Ravid Shwartz-Ziv

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…

机器学习 · 计算机科学 2026-05-06 Maximilian Nothnagel , Bernhard C. Geiger

The information bottleneck (IB) principle has been suggested as a way to analyze deep neural networks. The learning dynamics are studied by inspecting the mutual information (MI) between the hidden layers and the input and output. Notably,…

机器学习 · 计算机科学 2022-02-15 Stephan Sloth Lorenzen , Christian Igel , Mads Nielsen

We review the current literature concerned with information plane analyses of neural network classifiers. While the underlying information bottleneck theory and the claim that information-theoretic compression is causally linked to…

机器学习 · 计算机科学 2022-12-02 Bernhard C. Geiger

Pre-training GNNs to extract transferable knowledge and apply it to downstream tasks has become the de facto standard of graph representation learning. Recent works focused on designing self-supervised pre-training tasks to extract useful…

机器学习 · 计算机科学 2024-04-24 Zhe Zhao , Pengkun Wang , Xu Wang , Haibin Wen , Xiaolong Xie , Zhengyang Zhou , Qingfu Zhang , Yang Wang

The learning dynamics of deep neural networks are not well understood. The information bottleneck (IB) theory proclaimed separate fitting and compression phases. But they have since been heavily debated. We comprehensively analyze the…

机器学习 · 计算机科学 2023-12-15 Johannes Schneider , Mohit Prabhushankar

In the past decade, deep neural networks have seen unparalleled improvements that continue to impact every aspect of today's society. With the development of high performance GPUs and the availability of vast amounts of data, learning…

机器学习 · 计算机科学 2021-05-12 Mohammad Ali Alomrani

We address the question of characterizing and finding optimal representations for supervised learning. Traditionally, this question has been tackled using the Information Bottleneck, which compresses the inputs while retaining information…

机器学习 · 计算机科学 2021-07-19 Yann Dubois , Douwe Kiela , David J. Schwab , Ramakrishna Vedantam

The training dynamics of hidden layers in deep learning are poorly understood in theory. Recently, the Information Plane (IP) was proposed to analyze them, which is based on the information-theoretic concept of mutual information (MI). The…

机器学习 · 计算机科学 2020-10-06 Nicolás I. Tapia , Pablo A. Estévez

In this theory paper, we investigate training deep neural networks (DNNs) for classification via minimizing the information bottleneck (IB) functional. We show that the resulting optimization problem suffers from two severe issues: First,…

机器学习 · 计算机科学 2020-08-10 Rana Ali Amjad , Bernhard C. Geiger

The Information Bottleneck principle offers both a mechanism to explain how deep neural networks train and generalize, as well as a regularized objective with which to train models. However, multiple competing objectives are proposed in the…

机器学习 · 计算机科学 2021-01-06 Andreas Kirsch , Clare Lyle , Yarin Gal

The information bottleneck principle (Shwartz-Ziv & Tishby, 2017) suggests that SGD-based training of deep neural networks results in optimally compressed hidden layers, from an information theoretic perspective. However, this claim was…

机器学习 · 计算机科学 2020-03-16 Luke Nicholas Darlow , Amos Storkey

Deep neural networks tend to exhibit a bias toward low-rank solutions during training, implicitly learning low-dimensional feature representations. This paper investigates how deep multilayer perceptrons (MLPs) encode these feature…

机器学习 · 计算机科学 2024-10-11 Niket Patel , Ravid Shwartz-Ziv

Deep neural networks excel in supervised learning tasks but are constrained by the need for extensive labeled data. Self-supervised learning emerges as a promising alternative, allowing models to learn without explicit labels. Information…

机器学习 · 计算机科学 2023-11-22 Ravid Shwartz-Ziv , Yann LeCun
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