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The Information Bottleneck (IB) is a method of lossy compression of relevant information. Its rate-distortion (RD) curve describes the fundamental tradeoff between input compression and the preservation of relevant information embedded in…

Information Theory · Computer Science 2023-07-27 Shlomi Agmon

We introduce the matrix-based Renyi's $\alpha$-order entropy functional to parameterize Tishby et al. information bottleneck (IB) principle with a neural network. We term our methodology Deep Deterministic Information Bottleneck (DIB), as…

Machine Learning · Computer Science 2021-02-02 Xi Yu , Shujian Yu , Jose C. Principe

Adversarial examples are one of the most severe threats to deep learning models. Numerous works have been proposed to study and defend adversarial examples. However, these works lack analysis of adversarial information or perturbation,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-06 Guanlin Li , Naishan Zheng , Man Zhou , Jie Zhang , Tianwei Zhang

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

We propose a unified information-geometric framework that formalizes understanding in learning as a trade-off between informativeness and geometric simplicity. An encoder phi is evaluated by U(phi) = I(phi(X); Y) - beta * C(phi), where…

Machine Learning · Computer Science 2025-11-05 Ronald Katende

We view the Information Bottleneck Principle (IBP: Tishby et al., 1999; Schwartz-Ziv and Tishby, 2017) and Predictive Information Bottleneck Principle (PIBP: Still et al., 2007; Alemi, 2019) as special cases of a family of general…

Machine Learning · Computer Science 2019-12-24 Sayandev Mukherjee

The muti-layer information bottleneck (IB) problem, where information is propagated (or successively refined) from layer to layer, is considered. Based on information forwarded by the preceding layer, each stage of the network is required…

Machine Learning · Statistics 2017-11-15 Qianqian Yang , Pablo Piantanida , Deniz Gündüz

Adversarial examples, generated by carefully crafted perturbation, have attracted considerable attention in research fields. Recent works have argued that the existence of the robust and non-robust features is a primary cause of the…

Machine Learning · Computer Science 2022-04-07 Junho Kim , Byung-Kwan Lee , Yong Man Ro

Developing interpretable models for neurodevelopmental disorders (NDDs) diagnosis presents significant challenges in effectively encoding, decoding, and integrating multimodal neuroimaging data. While many existing machine learning…

Computer Vision and Pattern Recognition · Computer Science 2026-04-24 Yueyang Li , Lei Chen , Wenhao Dong , Shengyu Gong , Zijian Kang , Boyang Wei , Weiming Zeng , Hongjie Yan , Lingbin Bian , Zhiguo Zhang , Wai Ting Siok , Nizhuan Wang

Few-shot learning (FSL), which aims to classify unseen classes with few samples, is challenging due to data scarcity. Although various generative methods have been explored for FSL, the entangled generation process of these methods…

Computer Vision and Pattern Recognition · Computer Science 2022-11-30 Zhuohang Dang , Jihong Wang , Minnan Luo , Chengyou Jia , Caixia Yan , Qinghua Zheng

Variational dimensionality reduction methods are widely used for their accuracy, generative capabilities, and robustness. We introduce a unifying framework that generalizes both such as traditional and state-of-the-art methods. The…

Machine Learning · Computer Science 2025-09-04 Eslam Abdelaleem , Ilya Nemenman , K. Michael Martini

We present a variational approximation to the information bottleneck of Tishby et al. (1999). This variational approach allows us to parameterize the information bottleneck model using a neural network and leverage the reparameterization…

Machine Learning · Computer Science 2019-10-25 Alexander A. Alemi , Ian Fischer , Joshua V. Dillon , Kevin Murphy

In this paper, we introduce the application of Information Bottleneck as a method to investigate properties of questionnaires developed for the study of motivational profiles based on self-determination theory. Founded on information…

Applications · Statistics 2018-06-06 Daniela M L Barbato , Jean-Jacques De Groote

The immersed boundary (IB) method is a general mathematical framework for studying problems involving fluid-structure interactions in which an elastic structure is immersed in a viscous incompressible fluid. In the IB formulation, the fluid…

Numerical Analysis · Mathematics 2020-10-01 Yuanxun Bao , Alexander D. Kaiser , Jason Kaye , Charles S. Peskin

Generative LLM have achieved remarkable success in various industrial applications, owing to their promising In-Context Learning capabilities. However, the issue of long context in complex tasks poses a significant barrier to their wider…

Computation and Language · Computer Science 2025-10-14 Yihang Wang , Xu Huang , Bowen Tian , Yueyang Su , Lei Yu , Huaming Liao , Yixing Fan , Jiafeng Guo , Xueqi Cheng

Large Language Models (LLMs) have become indispensable tools in science, technology, and society, enabling transformative advances across diverse fields. However, errors or outdated information within these models can undermine their…

Computation and Language · Computer Science 2025-12-19 Qizhou Chen , Chengyu Wang , Taolin Zhang , Xiaofeng He

In this paper we examine a formalization of feature distribution learning (FDL) in information-theoretic terms relying on the analytical approach and on the tools already used in the study of the information bottleneck (IB). It has been…

Machine Learning · Computer Science 2019-10-22 Fabio Massimo Zennaro , Ke Chen

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…

Machine Learning · Computer Science 2020-10-06 Nicolás I. Tapia , Pablo A. Estévez

Three-dimensional generative models increasingly drive structure-based drug discovery, yet it remains constrained by the scarce publicly available protein-ligand complexes. Under such data scarcity, almost all existing pipelines struggle to…

Machine Learning · Computer Science 2025-08-15 Dong Xu , Zhangfan Yang , Jenna Xinyi Yao , Shuangbao Song , Zexuan Zhu , Junkai Ji

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, $\{+1, -1\}$.…

Machine Learning · Computer Science 2020-06-16 Vishnu Raj , Nancy Nayak , Sheetal Kalyani