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Fundamental machine learning theory shows that different samples contribute unequally both in learning and testing processes. Contemporary studies on DNN imply that such sample difference is rooted on the distribution of intrinsic pattern…

Machine Learning · Computer Science 2021-08-19 Chi Zhang , Xiaoning Ma , Yu Liu , Le Wang , Yuanqi Su , Yuehu Liu

Generalized Category Discovery (GCD) aims to leverage labeled samples from known categories to cluster unlabeled data that may include both known and unknown categories. While existing methods have achieved impressive results under standard…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Wei Feng , Zongyuan Ge

In this paper, we tackle the problem of Generalized Category Discovery (GCD). Given a dataset containing both labelled and unlabelled images, the objective is to categorize all images in the unlabelled subset, irrespective of whether they…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Yuanpei Liu , Kai Han

A class of discrete probability distributions contains distributions with limited support. A typical example is some variant of a Likert scale, with response mapped to either the $\{1, 2, \ldots, 5\}$ or $\{-3, -2, \ldots, 2, 3\}$ set. An…

Applications · Statistics 2022-04-25 Bogdan Ćmiel , Jakub Nawała , Lucjan Janowski , Krzysztof Rusek

Building on the remarkable achievements in generative sampling of natural images, we propose an innovative challenge, potentially overly ambitious, which involves generating samples of entire multivariate time series that resemble images.…

Clustering multi-view data has been a fundamental research topic in the computer vision community. It has been shown that a better accuracy can be achieved by integrating information of all the views than just using one view individually.…

Computer Vision and Pattern Recognition · Computer Science 2019-07-24 Ming Yin , Weitian Huang , Junbin Gao

Although Gaussian processes (GPs) with deep kernels have been successfully used for meta-learning in regression tasks, its uncertainty estimation performance can be poor. We propose a meta-learning method for calibrating deep kernel GPs for…

Machine Learning · Statistics 2023-12-14 Tomoharu Iwata , Atsutoshi Kumagai

Generalized linear model with $L_1$ and $L_2$ regularization is a widely used technique for solving classification, class probability estimation and regression problems. With the numbers of both features and examples growing rapidly in the…

Machine Learning · Statistics 2017-06-28 Ilya Trofimov , Alexander Genkin

Mixture models, such as Gaussian mixture models, are widely used in machine learning to represent complex data distributions. A key challenge, especially in high-dimensional settings, is to determine the mixture order and estimate the…

Optimization and Control · Mathematics 2025-09-30 Srećko Đurašinović , Jean-Bernard Lasserre , Victor Magron

We study the conditional Cauchy-Schwarz divergence (C-CSD) as a symmetric and density-free measure for time series analysis. We derive a practical kernel based estimator using radial basis function kernels on both the condition and output…

Methodology · Statistics 2026-01-12 Jiayi Wang

Machine learning typically relies on the assumption that training and testing distributions are identical and that data is centrally stored for training and testing. However, in real-world scenarios, distributions may differ significantly…

Machine Learning · Computer Science 2025-08-22 Ying Li , Xingwei Wang , Rongfei Zeng , Praveen Kumar Donta , Ilir Murturi , Min Huang , Schahram Dustdar

While the manifold hypothesis is widely adopted in modern machine learning, complex data is often better modeled as stratified spaces -- unions of manifolds (strata) of varying dimensions. Stratified learning is challenging due to varying…

Machine Learning · Statistics 2026-04-14 Randy Martinez , Rong Tang , Lizhen Lin

Cross-modality distillation arises as an important topic for data modalities containing limited knowledge such as depth maps and high-quality sketches. Such techniques are of great importance, especially for memory and privacy-restricted…

Machine Learning · Computer Science 2024-05-29 Hangyu Lin , Chen Liu , Chengming Xu , Zhengqi Gao , Yanwei Fu , Yuan Yao

\cite{tsagris2025a} proposed the generalized circular projected Cauchy (GCPC) distribution, whose special case is the wrapped Cauchy distribution. In this paper we first derive the relationship with the wrapped Cauchy distribution, and then…

Statistics Theory · Mathematics 2026-03-26 Omar Alzeley , Michail Tsagris

Machine learning has made tremendous progress in recent years, with models matching or even surpassing humans on a series of specialized tasks. One key element behind the progress of machine learning in recent years has been the ability to…

Machine Learning · Computer Science 2020-06-30 Giorgi Nadiradze , Ilia Markov , Bapi Chatterjee , Vyacheslav Kungurtsev , Dan Alistarh

Score-based generative modeling (SGM) has grown to be a hugely successful method for learning to generate samples from complex data distributions such as that of images and audio. It is based on evolving an SDE that transforms white noise…

Machine Learning · Computer Science 2022-10-04 Holden Lee , Jianfeng Lu , Yixin Tan

We introduce a new one-parameter family of divergence measures, called bounded Bhattacharyya distance (BBD) measures, for quantifying the dissimilarity between probability distributions. These measures are bounded, symmetric and positive…

Statistics Theory · Mathematics 2016-04-12 Shivakumar Jolad , Ahmed Roman , Mahesh C. Shastry , Mihir Gadgil , Ayanendranath Basu

Mirror descent uses the mirror function to encode geometry and constraints, improving convergence while preserving feasibility. Accelerated Mirror Descent Methods (Acc-MD) are derived from a discretization of an accelerated mirror ODE…

Optimization and Control · Mathematics 2026-01-28 Long Chen , Hao Luo , Jingrong Wei , Zeyi Xu , Yuan Yao

Cross-modal metric learning is a prominent research topic that bridges the semantic heterogeneity between vision and language. Existing methods frequently utilize simple cosine or complex distance metrics to transform the pairwise features…

Computer Vision and Pattern Recognition · Computer Science 2024-10-22 Haiwen Diao , Ying Zhang , Shang Gao , Jiawen Zhu , Long Chen , Huchuan Lu

The capability of reliably detecting out-of-distribution samples is one of the key factors in deploying a good classifier, as the test distribution always does not match with the training distribution in most real-world applications. In…

Machine Learning · Computer Science 2021-04-05 Dongha Lee , Sehun Yu , Hwanjo Yu