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This paper defines a new pseudometric for binary relations between finite sets that measures consensus among subsets. The main results are (1) a concise restatement of this pseudometric with an intuitively appealing interpretation via a…

Geometric Topology · Mathematics 2021-09-28 Kenneth P. Ewing , Michael Robinson

Self-supervised learning (SSL) is now a serious competitor for supervised learning, even though it does not require data annotation. Several baselines have attempted to make SSL models exploit information about data distribution, and less…

Computer Vision and Pattern Recognition · Computer Science 2023-07-04 Salman Mohamadi , Gianfranco Doretto , Donald A. Adjeroh

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

Several deep supervised hashing techniques have been proposed to allow for efficiently querying large image databases. However, deep supervised image hashing techniques are developed, to a great extent, heuristically often leading to…

Computer Vision and Pattern Recognition · Computer Science 2019-01-17 Nikolaos Passalis , Anastasios Tefas

Submodular functions have been studied extensively in machine learning and data mining. In particular, the optimization of submodular functions over the integer lattice (integer submodular functions) has recently attracted much interest,…

Machine Learning · Computer Science 2020-06-03 Aytunc Sahin , Yatao Bian , Joachim M. Buhmann , Andreas Krause

In today's modern era of Big data, computationally efficient and scalable methods are needed to support timely insights and informed decision making. One such method is sub-sampling, where a subset of the Big data is analysed and used as…

Methodology · Statistics 2022-09-07 Amalan Mahendran , Helen Thompson , James M. McGree

We define a new class of set functions that in addition to being monotone and subadditive, also admit a very limited form of submodularity defined over a permutation of the ground set. We refer to this permutation as a submodular order.…

Optimization and Control · Mathematics 2024-03-01 Rajan Udwani

Analysis and processing of data is a vital part of our modern society and requires vast amounts of computational resources. To reduce the computational burden, compressing and approximating data has become a central topic. We consider the…

Numerical Analysis · Mathematics 2026-03-17 Jürgen Dölz , Michael Multerer

In many applications involving multi-media data, the definition of similarity between items is integral to several key tasks, e.g., nearest-neighbor retrieval, classification, and recommendation. Data in such regimes typically exhibits…

Artificial Intelligence · Computer Science 2010-09-01 Brian McFee , Gert Lanckriet

The need for multimodal data integration arises naturally when multiple complementary sets of features are measured on the same sample. Under a dependent multifactor model, we develop a fully data-driven orchestrated approximate message…

Methodology · Statistics 2026-01-22 Sagnik Nandy , Zongming Ma

Transfer learning has recently become the dominant paradigm of machine learning. Pre-trained models fine-tuned for downstream tasks achieve better performance with fewer labelled examples. Nonetheless, it remains unclear how to develop…

Machine Learning · Computer Science 2024-01-30 Jonas Pfeiffer , Sebastian Ruder , Ivan Vulić , Edoardo Maria Ponti

Multiple imputation (MI) is a technique especially designed for handling missing data in public-use datasets. It allows analysts to perform incomplete-data inference straightforwardly by using several already imputed datasets released by…

Methodology · Statistics 2022-01-03 Kin Wai Chan

Estimating mutual information (MI) is a fundamental task in data science and machine learning. Existing estimators mainly rely on either highly flexible models (e.g., neural networks), which require large amounts of data, or overly…

Machine Learning · Computer Science 2025-10-27 Yanzhi Chen , Zijing Ou , Adrian Weller , Michael U. Gutmann

Recent contrastive representation learning methods rely on estimating mutual information (MI) between multiple views of an underlying context. E.g., we can derive multiple views of a given image by applying data augmentation, or we can…

Machine Learning · Computer Science 2021-06-28 Alessandro Sordoni , Nouha Dziri , Hannes Schulz , Geoff Gordon , Phil Bachman , Remi Tachet

Meta-learning, or "learning to learn", refers to techniques that infer an inductive bias from data corresponding to multiple related tasks with the goal of improving the sample efficiency for new, previously unobserved, tasks. A key…

Machine Learning · Computer Science 2021-02-24 Sharu Theresa Jose , Osvaldo Simeone

The Normalized Mutual Information (NMI) has been widely used to evaluate the accuracy of community detection algorithms. However in this article we show that the NMI is seriously affected by systematic errors due to finite size of networks,…

Physics and Society · Physics 2015-12-09 Pan Zhang

In biomedical research, to obtain more accurate prediction results from a target study, leveraging information from multiple similar source studies is proved to be useful. However, in many biomedical applications based on real-world data,…

Methodology · Statistics 2025-12-29 Xiaokang Liu , Jie Hu , Naimin Jing , Yang Ning , Cheng Yong Tang , Runze Li , Yong Chen

An important problem with machine learning is that when label number n>2, it is very difficult to construct and optimize a group of learning functions, and we wish that optimized learning functions are still useful when prior distribution…

Artificial Intelligence · Computer Science 2022-12-26 Chenguang Lu

In this work, we propose an information theory based framework DeepMI to train deep neural networks (DNN) using Mutual Information (MI). The DeepMI framework is especially targeted but not limited to the learning of real world tasks in an…

Computer Vision and Pattern Recognition · Computer Science 2022-03-07 Ashish Kumar , Laxmidhar Behera

The selection of features that are relevant for a prediction or classification problem is an important problem in many domains involving high-dimensional data. Selecting features helps fighting the curse of dimensionality, improving the…

Machine Learning · Computer Science 2009-09-04 Michel Verleysen , Fabrice Rossi , Damien François