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The Gromov-Wasserstein (GW) distance is a powerful tool for comparing metric measure spaces which has found broad applications in data science and machine learning. Driven by the need to analyze datasets whose objects have increasingly…

Metric Geometry · Mathematics 2026-03-10 Martin Bauer , Facundo Mémoli , Tom Needham , Mao Nishino

Cross-lingual or cross-domain correspondences play key roles in tasks ranging from machine translation to transfer learning. Recently, purely unsupervised methods operating on monolingual embeddings have become effective alignment tools.…

Computation and Language · Computer Science 2018-09-05 David Alvarez-Melis , Tommi S. Jaakkola

Hidden Markov Model (HMM) combined with Gaussian Process (GP) emission can be effectively used to estimate the hidden state with a sequence of complex input-output relational observations. Especially when the spectral mixture (SM) kernel is…

Machine Learning · Computer Science 2020-01-08 Yohan Jung , Jinkyoo Park

We propose an Gaussian Mixture Model (GMM) learning algorithm, based on our previous work of GMM expansion idea. The new algorithm brings more robustness and simplicity than classic Expectation Maximization (EM) algorithm. It also improves…

Machine Learning · Computer Science 2023-09-07 Weiguo Lu , Xuan Wu , Deng Ding , Gangnan Yuan

We tackle the essential task of finding dense visual correspondences between a pair of images. This is a challenging problem due to various factors such as poor texture, repetitive patterns, illumination variation, and motion blur in…

Computer Vision and Pattern Recognition · Computer Science 2022-07-21 Runyu Mao , Chen Bai , Yatong An , Fengqing Zhu , Cheng Lu

Generative modeling has recently shown great promise in computer vision, but it has mostly focused on synthesizing visually realistic images. In this paper, motivated by multi-task learning of shareable feature representations, we consider…

Computer Vision and Pattern Recognition · Computer Science 2021-06-28 Zhipeng Bao , Martial Hebert , Yu-Xiong Wang

We propose a new approach for unsupervised alignment of heterogeneous datasets, which maps data from two different domains without any known correspondences to a common metric space. Our method is based on an unbalanced optimal transport…

Machine Learning · Computer Science 2025-05-14 Florian Beier , Moritz Piening , Robert Beinert , Gabriele Steidl

Score estimation is the backbone of score-based generative models (SGMs), especially denoising diffusion probabilistic models (DDPMs). A key result in this area shows that with accurate score estimates, SGMs can efficiently generate samples…

Machine Learning · Statistics 2025-04-08 Sinho Chewi , Alkis Kalavasis , Anay Mehrotra , Omar Montasser

The learning of Gaussian Mixture Models (also referred to simply as GMMs) plays an important role in machine learning. Known for their expressiveness and interpretability, Gaussian mixture models have a wide range of applications, from…

Machine Learning · Computer Science 2023-07-14 Ruichong Zhang

Pairwise comparison of graphs is key to many applications in Machine learning ranging from clustering, kernel-based classification/regression and more recently supervised graph prediction. Distances between graphs usually rely on…

Machine Learning · Statistics 2023-09-29 Junjie Yang , Matthieu Labeau , Florence d'Alché-Buc

Combining multiple machine learning models has long been a technique for enhancing performance, particularly in distributed settings. Traditional approaches, such as model ensembles, work well, but are expensive in terms of memory and…

Machine Learning · Computer Science 2024-12-23 Albert Manuel Orozco Camacho , Stefan Horoi , Guy Wolf , Eugene Belilovsky

In this paper, we first propose a Bayesian neighborhood selection method to estimate Gaussian Graphical Models (GGMs). We show the graph selection consistency of this method in the sense that the posterior probability of the true model…

Applications · Statistics 2015-07-08 Zhixiang Lin , Tao Wang , Can Yang , Hongyu Zhao

Generalized Method of Moments (GMM) estimators in their various forms, including the popular Maximum Likelihood (ML) estimator, are frequently applied for the evaluation of complex econometric models with not analytically computable moment…

Methodology · Statistics 2021-09-27 Alexandros Gilch , Michael Griebel , Jens Oettershagen

Current deep learning classifiers, carry out supervised learning and store class discriminatory information in a set of shared network weights. These weights cannot be easily altered to incrementally learn additional classes, since the…

Computer Vision and Pattern Recognition · Computer Science 2022-12-02 Penny Johnston , Keiller Nogueira , Kevin Swingler

Score-based generative models can effectively learn the distribution of data by estimating the gradient of the distribution. Due to the multi-step denoising characteristic, researchers have recently considered combining score-based…

Machine Learning · Computer Science 2024-12-17 Changyuan Zhao , Hongyang Du , Guangyuan Liu , Dusit Niyato

Weakly-Supervised Semantic Segmentation (WSSS) aims to train segmentation models by weak labels, which is receiving significant attention due to its low annotation cost. Existing approaches focus on generating pseudo labels for supervision…

Image and Video Processing · Electrical Eng. & Systems 2024-03-21 Linshan Wu , Zhun Zhong , Jiayi Ma , Yunchao Wei , Hao Chen , Leyuan Fang , Shutao Li

Recent advances in cross-prompt automated essay scoring (AES) typically train models jointly on all source prompts, often requiring additional access to unlabeled target prompt essays simultaneously. However, using all sources is suboptimal…

Computation and Language · Computer Science 2025-05-27 Sanwoo Lee , Kun Liang , Yunfang Wu

Few-shot cross-modal retrieval focuses on learning cross-modal representations with limited training samples, enabling the model to handle unseen classes during inference. Unlike traditional cross-modal retrieval tasks, which assume that…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Chengsong Sun , Weiping Li , Xiang Li , Yuankun Liu , Lianlei Shan

Prevalent semantic segmentation solutions are, in essence, a dense discriminative classifier of p(class|pixel feature). Though straightforward, this de facto paradigm neglects the underlying data distribution p(pixel feature|class), and…

Computer Vision and Pattern Recognition · Computer Science 2022-10-06 Chen Liang , Wenguan Wang , Jiaxu Miao , Yi Yang

Feature alignment methods are used in many scientific disciplines for data pooling, annotation, and comparison. As an instance of a permutation learning problem, feature alignment presents significant statistical and computational…

Statistics Theory · Mathematics 2023-11-23 Yanjun Han , Philippe Rigollet , George Stepaniants