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In statistical inference problems, we wish to obtain lower bounds on the minimax risk, that is to bound the performance of any possible estimator. A standard technique to obtain risk lower bounds involves the use of Fano's inequality. In an…

Information Theory · Computer Science 2018-04-06 Ramji Venkataramanan , Oliver Johnson

Mutual information (MI) is a promising candidate measure for the assessment and optimization of localization systems, as it captures nonlinear dependencies between random variables. However, the high cost of computing MI, especially for…

Signal Processing · Electrical Eng. & Systems 2025-11-04 Sven Hinderer , Manuel Buchfink , Bin Yang

This paper proposes a method for representation learning of multimodal data using contrastive losses. A traditional approach is to contrast different modalities to learn the information shared between them. However, that approach could fail…

Computer Vision and Pattern Recognition · Computer Science 2021-07-07 Yunze Liu , Qingnan Fan , Shanghang Zhang , Hao Dong , Thomas Funkhouser , Li Yi

Importance sampling (IS) is a technique that enables statistical estimation of output performance at multiple input distributions from a single nominal input distribution. IS is commonly used in Monte Carlo simulation for variance reduction…

Methodology · Statistics 2025-05-07 Yijuan Liang , Guangxin Jiang , Michael C. Fu

We present a representation learning framework for financial time series forecasting. One challenge of using deep learning models for finance forecasting is the shortage of available training data when using small datasets. Direct trend…

Machine Learning · Computer Science 2021-05-10 Hanwei Wu , Ather Gattami , Markus Flierl

The Mutual Information (MI) is an often used measure of dependency between two random variables utilized in information theory, statistics and machine learning. Recently several MI estimators have been proposed that can achieve parametric…

Information Theory · Computer Science 2018-11-26 Morteza Noshad , Yu Zeng , Alfred O. Hero

Deep learning systems have been reported to achieve state-of-the-art performances in many applications, and a key is the existence of well trained classifiers on benchmark datasets. As a main-stream loss function, the cross entropy can…

Machine Learning · Computer Science 2022-09-22 Jirong Yi , Qiaosheng Zhang , Zhen Chen , Qiao Liu , Wei Shao

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

Here, we show that the InfoNCE objective is equivalent to the ELBO in a new class of probabilistic generative model, the recognition parameterised model (RPM). When we learn the optimal prior, the RPM ELBO becomes equal to the mutual…

Machine Learning · Statistics 2023-08-11 Laurence Aitchison , Stoil Ganev

We develop the use of mutual information (MI), a well-established metric in information theory, to interpret the inner workings of deep learning models. To accurately estimate MI from a finite number of samples, we present GMM-MI…

Data Analysis, Statistics and Probability · Physics 2023-04-12 Davide Piras , Hiranya V. Peiris , Andrew Pontzen , Luisa Lucie-Smith , Ningyuan Guo , Brian Nord

The ability of machine learning (ML) algorithms to generalize well to unseen data has been studied through the lens of information theory, by bounding the generalization error with the input-output mutual information (MI), i.e., the MI…

Machine Learning · Statistics 2024-06-07 Kimia Nadjahi , Kristjan Greenewald , Rickard Brüel Gabrielsson , Justin Solomon

Contrastive learning relies on an assumption that positive pairs contain related views, e.g., patches of an image or co-occurring multimodal signals of a video, that share certain underlying information about an instance. But what if this…

Computer Vision and Pattern Recognition · Computer Science 2022-01-13 Ching-Yao Chuang , R Devon Hjelm , Xin Wang , Vibhav Vineet , Neel Joshi , Antonio Torralba , Stefanie Jegelka , Yale Song

While post-training has successfully improved large language models (LLMs) across a variety of domains, these gains heavily rely on human-labeled data or external verifiers. Existing data has already been exploited, and new data is…

Machine Learning · Computer Science 2026-05-29 Hyunji Nam , Haoran Li , Natasha Jaques

We argue that the estimation of mutual information between high dimensional continuous random variables can be achieved by gradient descent over neural networks. We present a Mutual Information Neural Estimator (MINE) that is linearly…

Contrastive learning has demonstrated promising potential in recommender systems. Existing methods typically construct sparser views by randomly perturbing the original interaction graph, as they have no idea about the authentic user…

Information Retrieval · Computer Science 2025-12-19 Xufeng Liang , Zhida Qin , Chong Zhang , Tianyu Huang , Gangyi Ding

Multimodal Contrastive Learning (MCL) advances in aligning different modalities and generating multimodal representations in a joint space. By leveraging contrastive learning across diverse modalities, large-scale multimodal data enhances…

Machine Learning · Computer Science 2025-09-23 Xiaohao Liu , Xiaobo Xia , See-Kiong Ng , Tat-Seng Chua

We propose Preferential MoE, a novel human-ML mixture-of-experts model that augments human expertise in decision making with a data-based classifier only when necessary for predictive performance. Our model exhibits an interpretable gating…

Machine Learning · Computer Science 2021-01-15 Melanie F. Pradier , Javier Zazo , Sonali Parbhoo , Roy H. Perlis , Maurizio Zazzi , Finale Doshi-Velez

Large language models (LLMs) struggle in knowledge-intensive tasks, as retrievers often overfit to surface similarity and fail on queries involving complex logical relations. The capacity for logical analysis is inherent in model…

Computation and Language · Computer Science 2026-02-03 Wenxuan Zhang , Yuan-Hao Jiang , Changyong Qi , Rui Jia , Yonghe Wu

The rapid growth of Large Language Models (LLMs) usage has highlighted the importance of gradient-free in-context learning (ICL). However, interpreting their inner workings remains challenging. This paper introduces a novel multimodal…

Computation and Language · Computer Science 2024-08-26 Yosuke Miyanishi , Minh Le Nguyen

Partial label learning (PLL) is an important problem that allows each training example to be labeled with a coarse candidate set, which well suits many real-world data annotation scenarios with label ambiguity. Despite the promise, the…

Machine Learning · Computer Science 2022-12-01 Haobo Wang , Ruixuan Xiao , Yixuan Li , Lei Feng , Gang Niu , Gang Chen , Junbo Zhao