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Despite their great success, there is still no comprehensive theoretical understanding of learning with Deep Neural Networks (DNNs) or their inner organization. Previous work proposed to analyze DNNs in the \textit{Information Plane}; i.e.,…

机器学习 · 计算机科学 2017-05-02 Ravid Shwartz-Ziv , Naftali Tishby

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

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

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…

机器学习 · 计算机科学 2023-04-03 Ivan Chelombiev , Conor Houghton , Cian O'Donnell

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

Deep neural networks (DNNs) have garnered significant attention in financial asset pricing, due to their strong capacity for modeling complex nonlinear relationships within financial data. However, sophisticated models are prone to…

计算工程、金融与科学 · 计算机科学 2025-08-01 Che Sun

Feed-forward deep neural networks have been used extensively in various machine learning applications. Developing a precise understanding of the underling behavior of neural networks is crucial for their efficient deployment. In this paper,…

信息论 · 计算机科学 2016-03-22 Pejman Khadivi , Ravi Tandon , Naren Ramakrishnan

Entropy and mutual information in neural networks provide rich information on the learning process, but they have proven difficult to compute reliably in high dimensions. Indeed, in noisy and high-dimensional data, traditional estimates in…

计算机视觉与模式识别 · 计算机科学 2023-12-11 Danqi Liao , Chen Liu , Benjamin W. Christensen , Alexander Tong , Guillaume Huguet , Guy Wolf , Maximilian Nickel , Ian Adelstein , Smita Krishnaswamy

Datasets such as images, text, or movies are embedded in high-dimensional spaces. However, in important cases such as images of objects, the statistical structure in the data constrains samples to a manifold of dramatically lower…

机器学习 · 计算机科学 2019-10-29 Stefano Recanatesi , Matthew Farrell , Madhu Advani , Timothy Moore , Guillaume Lajoie , Eric Shea-Brown

Deep Neural Network (DNN) has gained unprecedented performance due to its automated feature extraction capability. This high order performance leads to significant incorporation of DNN models in different Internet of Things (IoT)…

机器学习 · 计算机科学 2020-10-09 Rahul Mishra , Hari Prabhat Gupta , Tanima Dutta

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

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

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 recent advances in deep neural networks (DNNs) make them attractive for embedded systems. However, it can take a long time for DNNs to make an inference on resource-constrained computing devices. Model compression techniques can address…

机器学习 · 计算机科学 2018-10-23 Qing Qin , Jie Ren , Jialong Yu , Ling Gao , Hai Wang , Jie Zheng , Yansong Feng , Jianbin Fang , Zheng Wang

In deep learning, neural networks serve as noisy channels between input data and its representation. This perspective naturally relates deep learning with the pursuit of constructing channels with optimal performance in information…

机器学习 · 计算机科学 2022-12-06 Kangyu Weng , Aohua Cheng , Ziyang Zhang , Pei Sun , Yang Tian

Deep neural networks (DNNs) are becoming increasingly deeper, wider, and non-linear due to the growing demands on prediction accuracy and analysis quality. When training a DNN model, the intermediate activation data must be saved in the…

分布式、并行与集群计算 · 计算机科学 2020-11-24 Sian Jin , Guanpeng Li , Shuaiwen Leon Song , Dingwen Tao

In a feedforward network, Transfer Entropy (TE) can be used to measure the influence that one layer has on another by quantifying the information transfer between them during training. According to the Information Bottleneck principle, a…

机器学习 · 计算机科学 2024-04-03 Adrian Moldovan , Angel Cataron , Razvan Andonie

Model compression has emerged as an important area of research for deploying deep learning models on Internet-of-Things (IoT). However, for extremely memory-constrained scenarios, even the compressed models cannot fit within the memory of a…

机器学习 · 统计学 2019-07-30 Kartikeya Bhardwaj , Chingyi Lin , Anderson Sartor , Radu Marculescu

Modern deep neural networks (DNNs) are extremely powerful; however, this comes at the price of increased depth and having more parameters per layer, making their training and inference more computationally challenging. In an attempt to…

机器学习 · 统计学 2024-03-04 Lingyu Gu , Yongqi Du , Yuan Zhang , Di Xie , Shiliang Pu , Robert C. Qiu , Zhenyu Liao
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