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The theoretical basis for a candidate variational principle for the information bottleneck (IB) method is formulated within the ambit of the generalized nonadditive statistics of Tsallis. Given a nonadditivity parameter $ q $, the role of…

Statistical Mechanics · Physics 2009-05-01 R. C. Venkatesan , A. Plastino

Understanding the source of the superior generalization ability of NNs remains one of the most important problems in ML research. There have been a series of theoretical works trying to derive non-vacuous bounds for NNs. Recently, the…

Machine Learning · Computer Science 2022-03-07 Zifeng Wang , Shao-Lun Huang , Ercan E. Kuruoglu , Jimeng Sun , Xi Chen , Yefeng Zheng

We introduce a bottleneck method for learning data representations based on information deficiency, rather than the more traditional information sufficiency. A variational upper bound allows us to implement this method efficiently. The…

Information Theory · Computer Science 2020-11-05 Pradeep Kr. Banerjee , Guido Montúfar

In the Information Bottleneck (IB), when tuning the relative strength between compression and prediction terms, how do the two terms behave, and what's their relationship with the dataset and the learned representation? In this paper, we…

Machine Learning · Computer Science 2020-01-08 Tailin Wu , Ian Fischer

Efficient communication requires balancing informativity and simplicity when encoding meanings. The Information Bottleneck (IB) framework captures this trade-off formally, predicting that natural language systems cluster near an optimal…

Computation and Language · Computer Science 2026-04-07 Antoine Taroni , Ludovic Moncla , Frederique Laforest

In this paper, we present an information-theoretic method for clustering mixed-type data, that is, data consisting of both continuous and categorical variables. The proposed approach extends the Information Bottleneck principle to…

Methodology · Statistics 2026-02-02 Efthymios Costa , Ioanna Papatsouma , Angelos Markos

Type-based multiple access (TBMA) is a semantics-aware multiple access protocol for remote inference. In TBMA, codewords are reused across transmitting sensors, with each codeword being assigned to a different observation value. Existing…

Signal Processing · Electrical Eng. & Systems 2023-05-03 Meiyi Zhu , Chunyan Feng , Caili Guo , Nan Jiang , Osvaldo Simeone

By "intelligently" fusing the complementary information across different views, multi-view learning is able to improve the performance of classification tasks. In this work, we extend the information bottleneck principle to a supervised…

Machine Learning · Computer Science 2022-04-25 Qi Zhang , Shujian Yu , Jingmin Xin , Badong Chen

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

Bidirectional language models have better context understanding and perform better than unidirectional models on natural language understanding tasks, yet the theoretical reasons behind this advantage remain unclear. In this work, we…

Computation and Language · Computer Science 2025-10-10 Md Kowsher , Nusrat Jahan Prottasha , Shiyun Xu , Shetu Mohanto , Ozlem Garibay , Niloofar Yousefi , Chen Chen

This study comes as a timely response to mounting criticism of the information bottleneck (IB) theory, injecting fresh perspectives to rectify misconceptions and reaffirm its validity. Firstly, we introduce an auxiliary function to…

Machine Learning · Computer Science 2023-05-22 Faxian Cao , Yongqiang Cheng , Adil Mehmood Khan , Zhijing Yang

We propose a new approach to train a variational information bottleneck (VIB) that improves its robustness to adversarial perturbations. Unlike the traditional methods where the hard labels are usually used for the classification task, we…

Machine Learning · Computer Science 2021-04-30 Weizhu Qian , Bowei Chen , Xiaowei Huang

The task of identifying multimodal image-text representations has garnered increasing attention, particularly with models such as CLIP (Contrastive Language-Image Pretraining), which demonstrate exceptional performance in learning complex…

Computer Vision and Pattern Recognition · Computer Science 2025-02-24 Zhiyu Zhu , Zhibo Jin , Jiayu Zhang , Nan Yang , Jiahao Huang , Jianlong Zhou , Fang Chen

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…

Machine Learning · Computer Science 2021-01-06 Andreas Kirsch , Clare Lyle , Yarin Gal

Explaining deep learning models operating on time series data is crucial in various applications of interest which require interpretable and transparent insights from time series signals. In this work, we investigate this problem from an…

In many complex systems, we observe that `interesting behaviour' is often the consequence of a system exploiting the existence of an Information Bottleneck (IB). These bottlenecks can occur at different scales, between individuals or…

Physics and Society · Physics 2023-08-02 Michael Crosscombe , Hiroki Sato

By extracting task-relevant information while maximally compressing the input, the information bottleneck (IB) principle has provided a guideline for learning effective and robust representations of the target inference. However, extending…

Information Theory · Computer Science 2025-01-22 Yuhan Wang , Youlong Wu , Shuai Ma , Ying-Jun Angela Zhang

To effectively study complex causal systems, it is often useful to construct abstractions of parts of the system by discarding irrelevant details while preserving key features. The Information Bottleneck (IB) method is a widely used…

Machine Learning · Computer Science 2025-06-12 Francisco N. F. Q. Simoes , Mehdi Dastani , Thijs van Ommen

In this work we propose a statistical approach to handling sources of theoretical uncertainty in string theory models of inflation. By viewing a model of inflation as a probabilistic graph, we show that there is an inevitable information…

High Energy Physics - Theory · Physics 2019-06-05 Mafalda Dias , Jonathan Frazer , Alexander Westphal

Information inequalities appear in many database applications such as query output size bounds, query containment, and implication between data dependencies. Recently Khamis et al. proposed to study the algorithmic aspects of information…

Databases · Computer Science 2023-09-22 Miika Hannula
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