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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…

Information Theory · Computer Science 2022-08-23 Michael Dikshtein , Nir Weinberger , Shlomo Shamai

Quantifying modality contributions in multimodal models remains a challenge, as existing approaches conflate the notion of contribution itself. Prior work relies on accuracy-based approaches, interpreting performance drops after removing a…

Machine Learning · Computer Science 2025-11-26 Padegal Amit , Omkar Mahesh Kashyap , Namitha Rayasam , Nidhi Shekhar , Surabhi Narayan

The information ratio offers an approach to assessing the efficacy with which an agent balances between exploration and exploitation. Originally, this was defined to be the ratio between squared expected regret and the mutual information…

Machine Learning · Computer Science 2021-02-19 Adithya M. Devraj , Benjamin Van Roy , Kuang Xu

Makkeh, Theis, and Vicente found in [8] that Cone Programming model is the most robust to compute the Bertschinger et al. partial information decompostion (BROJA PID) measure [1]. We developed a production-quality robust software that…

Optimization and Control · Mathematics 2020-02-11 Abdullah Makkeh , Dirk Oliver Theis , Raul Vicente

The regression discontinuity (RD) design is widely used for program evaluation with observational data. The primary focus of the existing literature has been the estimation of the local average treatment effect at the existing treatment…

Methodology · Statistics 2024-09-05 Yi Zhang , Eli Ben-Michael , Kosuke Imai

Information Bottleneck (IB) is a widely used framework that enables the extraction of information related to a target random variable from a source random variable. In the objective function, IB controls the trade-off between data…

Machine Learning · Computer Science 2025-08-13 Sota Kudo , Naoaki Ono , Shigehiko Kanaya , Ming Huang

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…

Machine Learning · Computer Science 2021-05-18 Xinyu Peng , Jiawei Zhang , Fei-Yue Wang , Li Li

The Symmetric Information Bottleneck (SIB), an extension of the more familiar Information Bottleneck, is a dimensionality reduction technique that simultaneously compresses two random variables to preserve information between their…

Information Theory · Computer Science 2024-02-06 K. Michael Martini , Ilya Nemenman

A central challenge in analyzing multivariate interactions within complex systems is to decompose how multiple inputs jointly determine an output. Existing approaches generally operate on observed probability distributions and can conflate…

Information Theory · Computer Science 2026-03-19 Clifford Bohm , Vincent R. Ragusa , Arend Hintze , Charles Ofria , Emily Dolson , Christoph Adami

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

We consider the problem of revealing/sharing data in an efficient and secure way via a compact representation. The representation should ensure reliable reconstruction of the desired features/attributes while still preserve privacy of the…

Information Theory · Computer Science 2016-05-09 Kittipong Kittichokechai , Giuseppe Caire

Effectively leveraging multimodal data such as various images, laboratory tests and clinical information is gaining traction in a variety of AI-based medical diagnosis and prognosis tasks. Most existing multi-modal techniques only focus on…

Image and Video Processing · Electrical Eng. & Systems 2023-11-28 Yingying Fang , Shuang Wu , Sheng Zhang , Chaoyan Huang , Tieyong Zeng , Xiaodan Xing , Simon Walsh , Guang Yang

Fundamental rate-distortion-perception (RDP) trade-offs arise in applications requiring maintained perceptual quality of reconstructed data, such as neural image compression. When compressed data is transmitted over public communication…

Information Theory · Computer Science 2026-04-23 Gustaf Åhlgren , Onur Günlü

The problem of distributed representation learning is one in which multiple sources of information $X_1,\ldots,X_K$ are processed separately so as to learn as much information as possible about some ground truth $Y$. We investigate this…

Machine Learning · Statistics 2019-04-02 Inaki Estella Aguerri , Abdellatif Zaidi

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

The Information Bottleneck (IB) method is an information theoretical framework to design a parsimonious and tunable feature-extraction mechanism, such that the extracted features are maximally relevant to a specific learning or inference…

Signal Processing · Electrical Eng. & Systems 2024-04-17 Francesco Binucci , Paolo Banelli , Paolo Di Lorenzo , Sergio Barbarossa

An important issue during an engineering design process is to develop an understanding which design parameters have the most influence on the performance. Especially in the context of optimization approaches this knowledge is crucial in…

Information Theory · Computer Science 2024-10-28 Patricia Wollstadt , Sebastian Schmitt

In practical scenarios where training data is limited, many predictive signals in the data can be rather from some biases in data acquisition (i.e., less generalizable), so that one cannot prevent a model from co-adapting on such…

Machine Learning · Computer Science 2023-03-27 Jongheon Jeong , Sihyun Yu , Hankook Lee , Jinwoo Shin

Learning representations with diversified information remains as an open problem. Towards learning diversified representations, a new approach, termed Information Competing Process (ICP), is proposed in this paper. Aiming to enrich the…

Machine Learning · Computer Science 2019-12-02 Jie Hu , Rongrong Ji , ShengChuan Zhang , Xiaoshuai Sun , Qixiang Ye , Chia-Wen Lin , Qi Tian

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