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Markov processes are widely used mathematical models for describing dynamic systems in various fields. However, accurately simulating large-scale systems at long time scales is computationally expensive due to the short time steps required…

Machine Learning · Computer Science 2024-01-29 Marco Federici , Patrick Forré , Ryota Tomioka , Bastiaan S. Veeling

Based on the notion of information bottleneck (IB), we formulate a quantization problem called "IB quantization". We show that IB quantization is equivalent to learning based on the IB principle. Under this equivalence, the standard neural…

Machine Learning · Computer Science 2019-02-13 Hongyu Guo , Yongyi Mao , Ali Al-Bashabsheh , Richong Zhang

Invariant risk minimization (IRM) has recently emerged as a promising alternative for domain generalization. Nevertheless, the loss function is difficult to optimize for nonlinear classifiers and the original optimization objective could…

Machine Learning · Computer Science 2022-03-22 Bo Li , Yifei Shen , Yezhen Wang , Wenzhen Zhu , Colorado J. Reed , Jun Zhang , Dongsheng Li , Kurt Keutzer , Han Zhao

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

Unified multimodal large language models (MLLMs) aim to unify image understanding and image generation within a single framework, where a shared visual tokenizer serves as the sole interface that maps high-dimensional images into a limited…

Machine Learning · Computer Science 2026-04-07 Lv Tang , Tianyi Zheng , Bo Li , Xingyu Li

In the context of statistical learning, the Information Bottleneck method seeks a right balance between accuracy and generalization capability through a suitable tradeoff between compression complexity, measured by minimum description…

Information Theory · Computer Science 2021-02-16 Mohammad Mahdi Mahvari , Mari Kobayashi , Abdellatif Zaidi

We show that if the conditional distribution p(C | T) factors through a sufficient statistic {\phi}(T), then the Information Bottleneck (IB) problem for (T, C) is exactly equivalent to the IB problem for ({\phi}(T), C). The reduction is…

Information Theory · Computer Science 2026-04-30 Joss Armstrong

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…

Computer Vision and Pattern Recognition · Computer Science 2024-05-24 He Zou , Meng'en Qin , Yu Song , Xiaohui Yang

When presented with a data stream of two statistically dependent variables, predicting the future of one of the variables (the target stream) can benefit from information about both its history and the history of the other variable (the…

Machine Learning · Computer Science 2023-03-10 Damjan Kalajdzievski , Ximeng Mao , Pascal Fortier-Poisson , Guillaume Lajoie , Blake Richards

Avoiding overfitting is a central challenge in machine learning, yet many large neural networks readily achieve zero training loss. This puzzling contradiction necessitates new approaches to the study of overfitting. Here we quantify…

Information Theory · Computer Science 2022-10-13 Vudtiwat Ngampruetikorn , David J. Schwab

Lossy compression and clustering fundamentally involve a decision about what features are relevant and which are not. The information bottleneck method (IB) by Tishby, Pereira, and Bialek formalized this notion as an information-theoretic…

Neurons and Cognition · Quantitative Biology 2017-02-23 DJ Strouse , David J Schwab

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

Whenever communication takes place to fulfil a goal, an effective way to encode the source data to be transmitted is to use an encoding rule that allows the receiver to meet the requirements of the goal. A formal way to identify the…

Signal Processing · Electrical Eng. & Systems 2022-11-24 Francesco Pezone , Sergio Barbarossa , Paolo Di Lorenzo

The inference of causal relationships using observational data from partially observed multivariate systems with hidden variables is a fundamental question in many scientific domains. Methods extracting causal information from conditional…

Machine Learning · Statistics 2020-10-13 Daniel Chicharro , Michel Besserve , Stefano Panzeri

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…

Computer Vision and Pattern Recognition · Computer Science 2019-12-06 Slava Voloshynovskiy , Mouad Kondah , Shideh Rezaeifar , Olga Taran , Taras Holotyak , Danilo Jimenez Rezende

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…

Machine Learning · Computer Science 2017-11-08 Amichai Painsky , Naftali Tishby

Interpretability is a pressing issue for machine learning. Common approaches to interpretable machine learning constrain interactions between features of the input, rendering the effects of those features on a model's output comprehensible…

Machine Learning · Computer Science 2023-05-11 Kieran A. Murphy , Dani S. Bassett

Split learning is a privacy-preserving distributed learning paradigm in which an ML model (e.g., a neural network) is split into two parts (i.e., an encoder and a decoder). The encoder shares so-called latent representation, rather than raw…

Machine Learning · Computer Science 2023-09-07 Omar Alhussein , Moshi Wei , Arashmid Akhavain

Pre-trained language models (PLMs) have recently shown great success in text representation field. However, the high computational cost and high-dimensional representation of PLMs pose significant challenges for practical applications. To…

Computation and Language · Computer Science 2023-11-10 Yanzhao Zhang , Dingkun Long , Zehan Li , Pengjun Xie

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…

Machine Learning · Computer Science 2021-07-19 Yann Dubois , Douwe Kiela , David J. Schwab , Ramakrishna Vedantam
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