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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

Multimodal learning aims to improve performance by leveraging data from multiple sources. During joint multimodal training, due to modality bias, the advantaged modality often dominates backpropagation, leading to imbalanced optimization.…

Machine Learning · Computer Science 2025-11-19 Zhe Yang , Wenrui Li , Hongtao Chen , Penghong Wang , Ruiqin Xiong , Xiaopeng Fan

Inferring the causal structure of a set of random variables from a finite sample of the joint distribution is an important problem in science. Recently, methods using additive noise models have been suggested to approach the case of…

Machine Learning · Statistics 2012-07-24 Jonas Peters , Dominik Janzing , Bernhard Schölkopf

We identify fundamental issues with discretization when estimating information-theoretic quantities in the analysis of data. These difficulties are theoretical in nature and arise with discrete datasets carrying significant implications for…

Quantitative Methods · Quantitative Biology 2014-06-24 Venkateshan Kannan , Jesper Tegnèr

Combining information from multiple samples is often needed in biomedical and economic studies, but the differences between these samples must be appropriately taken into account in the analysis of the combined data. We study estimation for…

Methodology · Statistics 2018-08-14 Heng Shu , Zhiqiang Tan

A hallmark of chaotic dynamics is the loss of information with time. Although information loss is often expressed through a connection to Lyapunov exponents -- valid in the limit of high information about the system state -- this picture…

Machine Learning · Computer Science 2022-10-26 Kieran A. Murphy , Dani S. Bassett

The information bottleneck (IB) method seeks a compressed representation of data that preserves information relevant to a target variable for prediction while discarding irrelevant information from the original data. In its classical…

Information Theory · Computer Science 2026-02-23 Akira Kamatsuka , Takahiro Yoshida

Fundamental limitations or performance trade-offs/limits are important properties and constraints of both control and filtering systems. Among various trade-off metrics, total information rate that characterizes the sensitivity trade-offs…

Systems and Control · Electrical Eng. & Systems 2025-03-18 Neng Wan , Dapeng Li , Naira Hovakimyan , Petros G. Voulgaris

Most estimators collapse all uncertainty modes into a single confidence score, preventing reliable reasoning about when to allocate more compute or adjust inference. We introduce Uncertainty-Guided Inference-Time Selection, a lightweight…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Divake Kumar , Patrick Poggi , Sina Tayebati , Devashri Naik , Nilesh Ahuja , Amit Ranjan Trivedi

We propose a new optimization framework for aleatoric uncertainty estimation in regression problems. Existing methods can quantify the error in the target estimation, but they tend to underestimate it. To obtain the predictive uncertainty…

Computer Vision and Pattern Recognition · Computer Science 2021-03-12 Takumi Kawashima , Qing Yu , Akari Asai , Daiki Ikami , Kiyoharu Aizawa

Mutual information (MI) is one of the most general ways to measure relationships between random variables, but estimating this quantity for complex systems is challenging. Denoising diffusion models have recently set a new bar for density…

Machine Learning · Computer Science 2025-11-20 Longxuan Yu , Xing Shi , Xianghao Kong , Tong Jia , Greg Ver Steeg

As interpretability gains attention in machine learning, there is a growing need for reliable models that fully explain representation content. We propose a mutual information (MI)-based method that decomposes neural network representations…

Machine Learning · Computer Science 2025-04-22 Lifeng Gu

This paper proposes an information-based inference method for partially identified parameters in incomplete models that is valid both when the model is correctly specified and when it is misspecified. Key features of the method are: (i) it…

Econometrics · Economics 2026-02-25 Hiroaki Kaido , Francesca Molinari

Structural causal models provide a formalism to express causal relations between variables of interest. Models and variables can represent a system at different levels of abstraction, whereby relations may be coarsened and refined according…

Artificial Intelligence · Computer Science 2023-05-09 Fabio Massimo Zennaro , Paolo Turrini , Theodoros Damoulas

A new expression as a certain asymptotic limit via "discrete micro-states" of permutations is provided to the mutual information of both continuous and discrete random variables.

Probability · Mathematics 2007-05-23 F. Hiai , D. Petz

The characterisation of information processing is an important task in complex systems science. Information dynamics is a quantitative methodology for modelling the intrinsic information processing conducted by a process represented as a…

Information Theory · Computer Science 2018-08-01 Richard E. Spinney , Joseph T. Lizier

Mutual information is fundamentally important for measuring statistical dependence between variables and for quantifying information transfer by signaling and communication mechanisms. It can, however, be challenging to evaluate for…

Information Theory · Computer Science 2014-07-29 Clive G. Bowsher , Margaritis Voliotis

We address three outstanding problems in information theory. Problem one is the definition of a non-negative decomposition of the information conveyed by two or more sources about a target variable into the specific contribution of each…

Information Theory · Computer Science 2022-06-28 Cesare Magri

We present PartComposer: a framework for part-level concept learning from single-image examples that enables text-to-image diffusion models to compose novel objects from meaningful components. Existing methods either struggle with…

Graphics · Computer Science 2025-09-16 Junyu Liu , R. Kenny Jones , Daniel Ritchie

A machine that learns a task from observations must encounter and process uncertainty and novelty, especially when it is to maintain performance when observing new information and to select the hypothesis that best fits the current…

Machine Learning · Computer Science 2026-04-17 Derek S. Prijatelj , Timothy J. Ireland , Walter J. Scheirer
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