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The Information Bottleneck (IB) is a conceptual method for extracting the most compact, yet informative, representation of a set of variables, with respect to the target. It generalizes the notion of minimal sufficient statistics from…

机器学习 · 计算机科学 2017-11-08 Amichai Painsky , Naftali Tishby

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…

机器学习 · 计算机科学 2021-05-18 Xinyu Peng , Jiawei Zhang , Fei-Yue Wang , Li Li

The Information bottleneck method is an unsupervised non-parametric data organization technique. Given a joint distribution P(A,B), this method constructs a new variable T that extracts partitions, or clusters, over the values of A that are…

机器学习 · 计算机科学 2013-01-14 Nir Friedman , Ori Mosenzon , Noam Slonim , Naftali Tishby

The information bottleneck (IB) method aims to find compressed representations of a variable $X$ that retain the most relevant information about a target variable $Y$. We show that for a wide family of distributions -- namely, when $Y$ is…

信息论 · 计算机科学 2023-10-09 Etam Benger , Shahab Asoodeh , Jun Chen

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

The fruits of science are relationships made comprehensible, often by way of approximation. While deep learning is an extremely powerful way to find relationships in data, its use in science has been hindered by the difficulty of…

机器学习 · 计算机科学 2022-04-18 Kieran A. Murphy , Dani S. Bassett

Information bottleneck (IB) principle [1] has become an important element in information-theoretic analysis of deep models. Many state-of-the-art generative models of both Variational Autoencoder (VAE) [2; 3] and Generative Adversarial…

计算机视觉与模式识别 · 计算机科学 2019-12-06 Slava Voloshynovskiy , Mouad Kondah , Shideh Rezaeifar , Olga Taran , Taras Holotyak , Danilo Jimenez Rezende

The information bottleneck problem (IB) of jointly stationary Gaussian sources is considered. A water-filling solution for the IB rate is given in terms of its SNR spectrum and whose rate is attained via frequency domain test-channel…

信息论 · 计算机科学 2022-08-23 Michael Dikshtein , Nir Weinberger , Shlomo Shamai

Deep neural networks suffer from poor generalization to unseen environments when the underlying data distribution is different from that in the training set. By learning minimum sufficient representations from training data, the information…

机器学习 · 计算机科学 2021-10-13 Francesco Alesiani , Shujian Yu , Xi Yu

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

In recent several years, the information bottleneck (IB) principle provides an information-theoretic framework for deep multi-view clustering (MVC) by compressing multi-view observations while preserving the relevant information of multiple…

信息论 · 计算机科学 2024-03-26 Xiaoqiang Yan , Zhixiang Jin , Fengshou Han , Yangdong Ye

The information bottleneck (IB) method is a feasible defense solution against adversarial attacks in deep learning. However, this method suffers from the spurious correlation, which leads to the limitation of its further improvement of…

机器学习 · 计算机科学 2022-10-27 Huan Hua , Jun Yan , Xi Fang , Weiquan Huang , Huilin Yin , Wancheng Ge

The information bottleneck (IB) method offers an attractive framework for understanding representation learning, however its applications are often limited by its computational intractability. Analytical characterization of the IB method is…

信息论 · 计算机科学 2023-04-03 Vudtiwat Ngampruetikorn , David J. Schwab

In the realm of neural network models, the perpetual challenge remains in retaining task-relevant information while effectively discarding redundant data during propagation. In this paper, we introduce IB-AdCSCNet, a deep learning model…

计算机视觉与模式识别 · 计算机科学 2024-05-24 He Zou , Meng'en Qin , Yu Song , Xiaohui Yang

Information Bottlenecks (IBs) learn representations that generalize to unseen data by information compression. However, existing IBs are practically unable to guarantee generalization in real-world scenarios due to the vacuous…

机器学习 · 计算机科学 2023-05-01 Yilin Lyu , Xin Liu , Mingyang Song , Xinyue Wang , Yaxin Peng , Tieyong Zeng , Liping Jing

The information bottleneck (IB) approach to clustering takes a joint distribution $P\!\left(X,Y\right)$ and maps the data $X$ to cluster labels $T$ which retain maximal information about $Y$ (Tishby et al., 1999). This objective results in…

机器学习 · 统计学 2020-06-02 DJ Strouse , David J Schwab

In this paper, we study a remote source coding scenario in which binary phase shift keying (BPSK) modulation sources are corrupted by additive white Gaussian noise (AWGN). An intermediate node, such as a relay, receives these observations…

信息论 · 计算机科学 2024-05-14 Yi Song , Kai Wan , Zhenyu Liao , Giuseppe Caire

The Information Bottleneck (IB) method (\cite{tishby2000information}) provides an insightful and principled approach for balancing compression and prediction for representation learning. The IB objective $I(X;Z)-\beta I(Y;Z)$ employs a…

机器学习 · 计算机科学 2019-10-23 Tailin Wu , Ian Fischer , Isaac L. Chuang , Max Tegmark

Learning invariant (causal) features for out-of-distribution (OOD) generalization has attracted extensive attention recently, and among the proposals invariant risk minimization (IRM) is a notable solution. In spite of its theoretical…

机器学习 · 计算机科学 2023-02-01 Bin Deng , Kui Jia

Information Theory (IT) has been used in Machine Learning (ML) from early days of this field. In the last decade, advances in Deep Neural Networks (DNNs) have led to surprising improvements in many applications of ML. The result has been a…

机器学习 · 计算机科学 2019-04-09 Hassan Hafez-Kolahi , Shohreh Kasaei