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Entropic optimal transport (OT) and the Sinkhorn algorithm have made it practical for machine learning practitioners to perform the fundamental task of calculating transport distance between statistical distributions. In this work, we focus…

Optimization and Control · Mathematics 2024-03-11 Xun Tang , Holakou Rahmanian , Michael Shavlovsky , Kiran Koshy Thekumparampil , Tesi Xiao , Lexing Ying

Optimal transport is an important tool in machine learning, allowing to capture geometric properties of the data through a linear program on transport polytopes. We present a single-loop optimization algorithm for minimizing general convex…

Machine Learning · Computer Science 2023-06-21 Marin Ballu , Quentin Berthet

We propose a numerical method for solving the multi-marginal Monge problem, which extends the classical Monge formulation to settings involving multiple target distributions. Our approach is based on the Hilbert space embedding of…

Optimization and Control · Mathematics 2025-07-15 Yumiharu Nakano , Takafumi Saito

We study the problem of learning to estimate the 3D object pose from a few labelled examples and a collection of unlabelled data. Our main contribution is a learning framework, neural view synthesis and matching, that can transfer the 3D…

Computer Vision and Pattern Recognition · Computer Science 2021-10-28 Angtian Wang , Shenxiao Mei , Alan Yuille , Adam Kortylewski

A family of loss functions built on pair-based computation have been proposed in the literature which provide a myriad of solutions for deep metric learning. In this paper, we provide a general weighting framework for understanding recent…

Computer Vision and Pattern Recognition · Computer Science 2020-03-24 Xun Wang , Xintong Han , Weilin Huang , Dengke Dong , Matthew R. Scott

Semi-supervised learning has made remarkable strides by effectively utilizing a limited amount of labeled data while capitalizing on the abundant information present in unlabeled data. However, current algorithms often prioritize aligning…

Computer Vision and Pattern Recognition · Computer Science 2024-05-31 Zhiquan Tan , Kaipeng Zheng , Weiran Huang

Building good 3D maps is a challenging and expensive task, which requires high-quality sensors and careful, time-consuming scanning. We seek to reduce the cost of building good reconstructions by correcting views of existing low-quality…

Computer Vision and Pattern Recognition · Computer Science 2019-09-10 Ştefan Săftescu , Paul Newman

Recently, multi-view learning (MVL) has garnered significant attention due to its ability to fuse discriminative information from multiple views. However, real-world multi-view datasets are often heterogeneous and imperfect, which usually…

Computer Vision and Pattern Recognition · Computer Science 2025-07-25 Jie Xu , Na Zhao , Gang Niu , Masashi Sugiyama , Xiaofeng Zhu

Given a set of $K$ probability densities, we consider the multimarginal generative modeling problem of learning a joint distribution that recovers these densities as marginals. The structure of this joint distribution should identify…

Machine Learning · Computer Science 2023-10-06 Michael S. Albergo , Nicholas M. Boffi , Michael Lindsey , Eric Vanden-Eijnden

Language-supervised vision models have recently attracted great attention in computer vision. A common approach to build such models is to use contrastive learning on paired data across the two modalities, as exemplified by Contrastive…

Machine Learning · Computer Science 2023-03-16 Ryumei Nakada , Halil Ibrahim Gulluk , Zhun Deng , Wenlong Ji , James Zou , Linjun Zhang

In some scenarios, a single input image may not be enough to allow the object classification. In those cases, it is crucial to explore the complementary information extracted from images presenting the same object from multiple perspectives…

Computer Vision and Pattern Recognition · Computer Science 2022-05-24 Gabriel Machado , Keiller Nogueira , Matheus Barros Pereira , Jefersson Alex dos Santos

3D multi-object tracking (MOT) and trajectory forecasting are two critical components in modern 3D perception systems. We hypothesize that it is beneficial to unify both tasks under one framework to learn a shared feature representation of…

Computer Vision and Pattern Recognition · Computer Science 2020-08-27 Xinshuo Weng , Ye Yuan , Kris Kitani

We propose a visual-linguistic representation learning approach within a self-supervised learning framework by introducing a new operation, loss, and data augmentation strategy. First, we generate diverse features for the image-text…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Jaeyoo Park , Bohyung Han

Contrastive learning is a powerful technique to learn representations that are semantically distinctive and geometrically invariant. While most of the earlier approaches have demonstrated its effectiveness on single-modality learning tasks…

Computer Vision and Pattern Recognition · Computer Science 2021-10-19 Anurag Jain , Yashaswi Verma

The problem of high-dimensional and large-scale representation of visual data is addressed from an unsupervised learning perspective. The emphasis is put on discrete representations, where the description length can be measured in bits and…

Machine Learning · Computer Science 2019-01-25 Sohrab Ferdowsi

Mesh-free numerical methods offer flexibility in discretising complex geometries, showing potential where mesh-based methods struggle. While high-order approximations can be obtained via consistency correction using linear systems, they…

Computational Physics · Physics 2025-04-18 Lucas Gerken Starepravo , Georgios Fourtakas , Steven Lind , Ajay Harish , Jack R. C. King

Multimodal machine translation (MMT) is a challenging task that seeks to improve translation quality by incorporating visual information. However, recent studies have indicated that the visual information provided by existing MMT datasets…

Computer Vision and Pattern Recognition · Computer Science 2024-04-30 Xinyu Ma , Xuebo Liu , Derek F. Wong , Jun Rao , Bei Li , Liang Ding , Lidia S. Chao , Dacheng Tao , Min Zhang

Although multi-view learning has made signifificant progress over the past few decades, it is still challenging due to the diffificulty in modeling complex correlations among different views, especially under the context of view missing. To…

Machine Learning · Computer Science 2020-11-13 Changqing Zhang , Yajie Cui , Zongbo Han , Joey Tianyi Zhou , Huazhu Fu , Qinghua Hu

In machine learning, the cost function is crucial because it measures how good or bad a system is. In image classification, well-known networks only consider modifying the network structures and applying cross-entropy loss at the end of the…

Computer Vision and Pattern Recognition · Computer Science 2019-06-18 Trung Dung Do , Cheng-Bin Jin , Hakil Kim , Van Huan Nguyen

Discriminative representation is essential to keep a unique identifier for each target in Multiple object tracking (MOT). Some recent MOT methods extract features of the bounding box region or the center point as identity embeddings.…

Computer Vision and Pattern Recognition · Computer Science 2023-03-09 Hao Ren , Shoudong Han , Huilin Ding , Ziwen Zhang , Hongwei Wang , Faquan Wang