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This paper proposes a Heaviside composite optimization approach and presents a progressive (mixed) integer programming (PIP) method for solving multi-class classification and multi-action treatment problems with constraints. A Heaviside…

Optimization and Control · Mathematics 2024-01-08 Yue Fang , Junyi Liu , Jong-Shi Pang

Multi-view learning is widely applied to real-life datasets, such as multiple omics biological data, but it often suffers from both missing views and missing labels. Prior probabilistic approaches addressed the missing view problem by using…

Machine Learning · Computer Science 2025-08-18 Yiyang Shen , Weiran Wang

The framework of Partial Information Decomposition (PID) unveils complex nonlinear interactions in network systems by dissecting the mutual information (MI) between a target variable and several source variables. While PID measures have…

Data Analysis, Statistics and Probability · Physics 2024-09-23 Chiara Barà , Yuri Antonacci , Marta Iovino , Ivan Lazic , Luca Faes

Bivariate Partial Information Decomposition (PID) describes how the mutual information between a random variable M and two random variables Y and Z is decomposed into unique, redundant, and synergistic terms. Recently, PID has shown promise…

Information Theory · Computer Science 2023-05-12 Chaitanya Goswami , Amanda Merkley , Pulkit Grover

Neural networks trained on real-world datasets with long-tailed label distributions are biased towards frequent classes and perform poorly on infrequent classes. The imbalance in the ratio of positive and negative samples for each class…

Computer Vision and Pattern Recognition · Computer Science 2021-05-25 Kevin Duarte , Yogesh S. Rawat , Mubarak Shah

Image matching is a fundamental computer vision problem. While learning-based methods achieve state-of-the-art performance on existing benchmarks, they generalize poorly to in-the-wild images. Such methods typically need to train separate…

Computer Vision and Pattern Recognition · Computer Science 2024-02-20 Xuelun Shen , Zhipeng Cai , Wei Yin , Matthias Müller , Zijun Li , Kaixuan Wang , Xiaozhi Chen , Cheng Wang

The estimation of distributed parameters in partial differential equations (PDE) from measures of the solution of the PDE may lead to under-determination problems. The choice of a parameterization is a usual way of adding a-priori…

Numerical Analysis · Mathematics 2008-01-16 Hend Ben Ameur , François Clément , Pierre Weis , Guy Chavent

Bi-level optimization, especially the gradient-based category, has been widely used in the deep learning community including hyperparameter optimization and meta-knowledge extraction. Bi-level optimization embeds one problem within another…

Machine Learning · Computer Science 2023-07-11 Can Chen , Xi Chen , Chen Ma , Zixuan Liu , Xue Liu

This paper focuses on the problem of finding a particular data recommendation strategy based on the user preferences and a system expected revenue. To this end, we formulate this problem as an optimization by designing the recommendation…

Information Theory · Computer Science 2024-12-20 Shanyun Liu , Yunquan Dong , Pingyi Fan , Rui She , Shuo Wan

Traditional sparse and dense retrieval methods struggle to leverage general world knowledge and often fail to capture the nuanced features of queries and products. With the advent of large language models (LLMs), industrial search systems…

Information Retrieval · Computer Science 2025-07-14 Ming Pang , Chunyuan Yuan , Xiaoyu He , Zheng Fang , Donghao Xie , Fanyi Qu , Xue Jiang , Changping Peng , Zhangang Lin , Ching Law , Jingping Shao

In recent years, thanks to the advances in meta-materials, the concept of continuous-aperture MIMO (CAP-MIMO) is reinvestigated to achieve improved communication performance with limited antenna apertures. Unlike the classical MIMO composed…

Information Theory · Computer Science 2023-07-03 Zijian Zhang , Linglong Dai

This paper looks into the problem of handling imbalanced data in a multi-label classification problem. The problem is solved by proposing two novel methods that primarily exploit the geometric relationship between the feature vectors. The…

Machine Learning · Computer Science 2020-10-13 Anima Majumder , Samrat Dutta , Swagat Kumar , Laxmidhar Behera

Although a number of studies are devoted to novel category discovery, most of them assume a static setting where both labeled and unlabeled data are given at once for finding new categories. In this work, we focus on the application…

Machine Learning · Computer Science 2022-10-11 Xinwei Zhang , Jianwen Jiang , Yutong Feng , Zhi-Fan Wu , Xibin Zhao , Hai Wan , Mingqian Tang , Rong Jin , Yue Gao

Using predictive adaptive arithmetic coding and the Minimum Description Length principle, we derive an efficient tool for model selection problems : the RIC information criterion. We then present an extension of these coding techniques to…

Methodology · Statistics 2007-05-23 Guilhem Coq , Olivier Alata , Marc Arnaudon , Christian Olivier

The Bayesian and Akaike information criteria aim at finding a good balance between under- and over-fitting. They are extensively used every day by practitioners. Yet we contend they suffer from at least two afflictions: their penalty…

Statistics Theory · Mathematics 2026-03-20 Sylvain Sardy , Maxime van Cutsem , Sara van de Geer

Information theoretic criteria (ITC) have been widely adopted in engineering and statistics for selecting, among an ordered set of candidate models, the one that better fits the observed sample data. The selected model minimizes a penalized…

Machine Learning · Statistics 2019-10-10 Andrea Mariani , Andrea Giorgetti , Marco Chiani

Semi-supervised instance segmentation poses challenges due to limited labeled data, causing difficulties in accurately localizing distinct object instances. Current teacher-student frameworks still suffer from performance constraints due to…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Heeji Yoon , Heeseong Shin , Eunbeen Hong , Hyunwook Choi , Hansang Cho , Daun Jeong , Seungryong Kim

Generalized Category Discovery (GCD) is a challenging task in which, given a partially labelled dataset, models must categorize all unlabelled instances, regardless of whether they come from labelled categories or from new ones. In this…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Hongjun Wang , Sagar Vaze , Kai Han

The F-measure, which has originally been introduced in information retrieval, is nowadays routinely used as a performance metric for problems such as binary classification, multi-label classification, and structured output prediction.…

Machine Learning · Statistics 2015-03-09 Willem Waegeman , Krzysztof Dembczynski , Arkadiusz Jachnik , Weiwei Cheng , Eyke Hullermeier

We consider the problems of clustering, classification, and visualization of high-dimensional data when no straightforward Euclidean representation exists. Typically, these tasks are performed by first reducing the high-dimensional data to…

Machine Learning · Statistics 2009-09-29 Kevin M. Carter , Raviv Raich , William G. Finn , Alfred O. Hero
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