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Many science and engineering problems rely on expensive computational simulations, where a multi-fidelity approach can accelerate the exploration of a parameter space. We study efficient allocation of a simulation budget using a Gaussian…

Machine Learning · Computer Science 2025-10-13 Murray Cutforth , Yiming Yang , Tiffany Fan , Serge Guillas , Eric Darve

The mutual information is a core statistical quantity that has applications in all areas of machine learning, whether this is in training of density models over multiple data modalities, in maximising the efficiency of noisy transmission…

Machine Learning · Statistics 2015-09-30 Shakir Mohamed , Danilo Jimenez Rezende

Mutual information (MI) is a useful information-theoretic measure to quantify the statistical dependence between two random variables: $X$ and $Y$. Often, we are interested in understanding how the dependence between $X$ and $Y$ in one set…

Information Theory · Computer Science 2025-07-22 Chetan Gohil , Oliver M Cliff , James M. Shine , Ben D. Fulcher , Joseph T. Lizier

Interpretable insights from predictive models remain critical in bio-statistics, particularly when assessing causality, where classical statistical and machine learning methods often provide inherent clarity. While Neural Networks (NNs)…

Applications · Statistics 2025-05-02 Jean-Baptiste A. Conan

As large language models (LLMs) continue to advance, there is a growing urgency to enhance the interpretability of their internal knowledge mechanisms. Consequently, many interpretation methods have emerged, aiming to unravel the knowledge…

Computation and Language · Computer Science 2025-06-11 Jiaxiang Liu , Boxuan Xing , Chenhao Yuan , Chenxiang Zhang , Di Wu , Xiusheng Huang , Haida Yu , Chuhan Lang , Pengfei Cao , Jun Zhao , Kang Liu

Recently, token-level adaptive training has achieved promising improvement in machine translation, where the cross-entropy loss function is adjusted by assigning different training weights to different tokens, in order to alleviate the…

Computation and Language · Computer Science 2021-05-28 Yangyifan Xu , Yijin Liu , Fandong Meng , Jiajun Zhang , Jinan Xu , Jie Zhou

Understanding dependencies between variables is critical for interpretability and efficient generation in masked diffusion models (MDMs), yet these models primarily expose marginal conditional distributions and do not explicitly represent…

Machine Learning · Computer Science 2026-05-21 Jai Sharma , Yifan Wang , Bryan Li

Text-to-image generation and image captioning are recently emerged as a new experimental paradigm to assess machine intelligence. They predict continuous quantity accompanied by their sampling techniques in the generation, making evaluation…

Computer Vision and Pattern Recognition · Computer Science 2022-05-27 Jin-Hwa Kim , Yunji Kim , Jiyoung Lee , Kang Min Yoo , Sang-Woo Lee

In this paper, we demonstrate how to enhance the validity of causal inference with unstructured high-dimensional treatments like texts, by leveraging the power of generative Artificial Intelligence (GenAI). Specifically, we propose to use a…

Applications · Statistics 2025-09-09 Kosuke Imai , Kentaro Nakamura

With the rapid advancements in medical data acquisition and production, increasingly richer representations exist to characterize medical information. However, such large-scale data do not usually meet computing resource constraints or…

The lack of interpretability is an inevitable problem when using neural network models in real applications. In this paper, an explainable neural network based on generalized additive models with structured interactions (GAMI-Net) is…

Machine Learning · Statistics 2021-06-03 Zebin Yang , Aijun Zhang , Agus Sudjianto

Although large language models (LLMs) have demonstrated remarkable capabilities in recent years, the potential of information theory (IT) to enhance LLM development remains underexplored. This paper introduces the information theoretic…

Computation and Language · Computer Science 2025-05-01 Thanushon Sivakaran , En-Hui Yang

Implicit stochastic models, where the data-generation distribution is intractable but sampling is possible, are ubiquitous in the natural sciences. The models typically have free parameters that need to be inferred from data collected in…

Machine Learning · Statistics 2020-08-17 Steven Kleinegesse , Michael U. Gutmann

We propose learning discrete structured representations from unlabeled data by maximizing the mutual information between a structured latent variable and a target variable. Calculating mutual information is intractable in this setting. Our…

Machine Learning · Computer Science 2020-07-17 Karl Stratos , Sam Wiseman

In this paper, we study the problem of learning multi-dimensional Gaussian Mixture Models (GMMs), with a specific focus on model order selection and efficient mixing distribution estimation. We first establish an information-theoretic lower…

Machine Learning · Statistics 2026-03-23 Xinyu Liu , Hai Zhang

It is very difficult to solve the Maximum Mutual Information (MMI) or Maximum Likelihood (ML) for all possible Shannon Channels or uncertain rules of choosing hypotheses, so that we have to use iterative methods. According to the Semantic…

Information Theory · Computer Science 2017-06-27 Chenguang Lu

Existing studies on self-supervised speech representation learning have focused on developing new training methods and applying pre-trained models for different applications. However, the quality of these models is often measured by the…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-18 Alexander H. Liu , Sung-Lin Yeh , James Glass

Mutual Information (MI) and Conditional Mutual Information (CMI) are multi-purpose tools from information theory that are able to naturally measure the statistical dependencies between random variables, thus they are usually of central…

Machine Learning · Computer Science 2022-11-22 Bao Duong , Thin Nguyen

A graphical multiagent model (GMM) represents a joint distribution over the behavior of a set of agents. One source of knowledge about agents' behavior may come from gametheoretic analysis, as captured by several graphical game…

Artificial Intelligence · Computer Science 2012-06-18 Quang Duong , Michael P. Wellman , Satinder Singh

Mutual Information (MI) is often used for feature selection when developing classifier models. Estimating the MI for a subset of features is often intractable. We demonstrate, that under the assumptions of conditional independence, MI…

Machine Learning · Computer Science 2017-06-26 Hemanth Venkateswara , Prasanth Lade , Binbin Lin , Jieping Ye , Sethuraman Panchanathan