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Deep neural networks trained using a softmax layer at the top and the cross-entropy loss are ubiquitous tools for image classification. Yet, this does not naturally enforce intra-class similarity nor inter-class margin of the learned deep…

Computer Vision and Pattern Recognition · Computer Science 2017-12-06 José Lezama , Qiang Qiu , Pablo Musé , Guillermo Sapiro

Vision is well-known for its use in manipulation, especially using visual servoing. Due to the 3D nature of the world, using multiple camera views and merging them creates better representations for Q-learning and in turn, trains more…

Machine Learning · Computer Science 2025-09-01 Abdulaziz Almuzairee , Rohan Patil , Dwait Bhatt , Henrik I. Christensen

We introduce a new class of convex-regularized Optimal Transport losses, which generalizes the classical Entropy-regularization of Optimal Transport and Sinkhorn divergences, and propose a generalized Sinkhorn algorithm. Our framework…

Optimization and Control · Mathematics 2020-07-03 Simone Di Marino , Augusto Gerolin

We introduce COT-GAN, an adversarial algorithm to train implicit generative models optimized for producing sequential data. The loss function of this algorithm is formulated using ideas from Causal Optimal Transport (COT), which combines…

Machine Learning · Statistics 2020-10-23 Tianlin Xu , Li K. Wenliang , Michael Munn , Beatrice Acciaio

The existing contrastive learning methods mainly focus on single-grained representation learning, e.g., part-level, object-level or scene-level ones, thus inevitably neglecting the transferability of representations on other granularity…

Computer Vision and Pattern Recognition · Computer Science 2024-07-03 Chengchao Shen , Jianzhong Chen , Jianxin Wang

Multi-objective learning (MOL) problems often arise in emerging machine learning problems when there are multiple learning criteria, data modalities, or learning tasks. Different from single-objective learning, one of the critical…

Machine Learning · Computer Science 2025-03-28 Lisha Chen , Heshan Fernando , Yiming Ying , Tianyi Chen

For the problem of 3D object recognition, researchers using deep learning methods have developed several very different input representations, including "multi-view" snapshots taken from discrete viewpoints around an object, as well as…

Computer Vision and Pattern Recognition · Computer Science 2020-02-11 Tengyu Ma , Joel Michelson , James Ainooson , Deepayan Sanyal , Xiaohan Wang , Maithilee Kunda

This paper develops a computational framework for Multi-Period Martingale Optimal Transport (MMOT), addressing convergence rates, algorithmic efficiency, and financial calibration. Our contributions include: (1) Theoretical analysis: We…

Computational Finance · Quantitative Finance 2026-04-21 Sri Sairam Gautam B

Multi-view learning has progressed rapidly in recent years. Although many previous studies assume that each instance appears in all views, it is common in real-world applications for instances to be missing from some views, resulting in…

Machine Learning · Computer Science 2022-08-30 Pengfei Zhu , Xinjie Yao , Yu Wang , Meng Cao , Binyuan Hui , Shuai Zhao , Qinghua Hu

Orientation learning plays a pivotal role in many tasks. However, the rotation group SO(3) is a Riemannian manifold. As a result, the distortion caused by non-Euclidean geometric nature introduces difficulties to the incorporation of local…

Robotics · Computer Science 2025-10-10 Gaofeng Li , Peisen Xu , Ruize Wang , Qi Ye , Jiming Chen , Dezhen Song , Yanlong Huang

Vision-language models (VLMs) allow to embed texts and images in a shared representation space. However, it has been shown that these models are subject to a modality gap phenomenon meaning there exists a clear separation between the…

Computer Vision and Pattern Recognition · Computer Science 2025-05-07 François Role , Sébastien Meyer , Victor Amblard

This paper presents a framework for learning visual representations from unlabeled video demonstrations captured from multiple viewpoints. We show that these representations are applicable for imitating several robotic tasks, including pick…

Computer Vision and Pattern Recognition · Computer Science 2023-01-30 André Correia , Luís A. Alexandre

Several recent applications of optimal transport (OT) theory to machine learning have relied on regularization, notably entropy and the Sinkhorn algorithm. Because matrix-vector products are pervasive in the Sinkhorn algorithm, several…

Machine Learning · Statistics 2021-03-09 Meyer Scetbon , Marco Cuturi , Gabriel Peyré

Optimal transport (OT) is a widely used tool in machine learning, but computing high-accuracy solutions for large instances remains costly. Entropic regularization and the Sinkhorn algorithm improve scalability; however, when the…

Machine Learning · Computer Science 2026-05-12 Di Wu , Ling Liang , Haizhao Yang

Despite the success of contrastive learning (CL) in vision and language, its theoretical foundations and mechanisms for building representations remain poorly understood. In this work, we build connections between noise contrastive…

Machine Learning · Computer Science 2025-02-28 Zihao Chen , Chi-Heng Lin , Ran Liu , Jingyun Xiao , Eva L Dyer

In neural network-based monaural speech separation techniques, it has been recently common to evaluate the loss using the permutation invariant training (PIT) loss. However, the ordinary PIT requires to try all $N!$ permutations between $N$…

Sound · Computer Science 2021-05-18 Hideyuki Tachibana

This paper presents an innovative approach to enhancing few-shot learning by integrating data augmentation with model fine-tuning in a framework designed to tackle the challenges posed by small-sample data. Recognizing the critical…

Machine Learning · Computer Science 2024-11-26 Yinqiu Feng , Aoran Shen , Jiacheng Hu , Yingbin Liang , Shiru Wang , Junliang Du

Optimizing the consolidation process in container-based fulfillment centers requires trading off competing objectives such as processing speed, resource usage, and space utilization while adhering to a range of real-world operational…

Machine Learning · Computer Science 2026-03-02 Sikata Sengupta , Guangyi Liu , Omer Gottesman , Joseph W Durham , Michael Kearns , Aaron Roth , Michael Caldara

We present M3P, a Multitask Multilingual Multimodal Pre-trained model that combines multilingual pre-training and multimodal pre-training into a unified framework via multitask pre-training. Our goal is to learn universal representations…

Computation and Language · Computer Science 2021-04-02 Minheng Ni , Haoyang Huang , Lin Su , Edward Cui , Taroon Bharti , Lijuan Wang , Jianfeng Gao , Dongdong Zhang , Nan Duan

We propose a discrete time formulation of the semi-martingale optimal transport problem based on multi-marginal entropic transport. This approach offers a new way to formulate and solve numerically the calibration problem proposed by [17],…

Optimization and Control · Mathematics 2024-12-03 Jean-David Benamou , Guillaume Chazareix , Grégoire Loeper