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In this paper, we introduce a neural network-based method to address the high-dimensional dynamic unbalanced optimal transport (UOT) problem. Dynamic UOT focuses on the optimal transportation between two densities with unequal total mass,…

Optimization and Control · Mathematics 2024-09-23 Wei Wan , Jiangong Pan , Yuejin Zhang , Chenglong Bao , Zuoqiang Shi

Multimarginal Optimal Transport (MOT) is the problem of linear programming over joint probability distributions with fixed marginals. A key issue in many applications is the complexity of solving MOT: the linear program has exponential size…

Optimization and Control · Mathematics 2021-11-16 Jason M. Altschuler , Enric Boix-Adsera

Optimal Transport (OT) problem aims to find a transport plan that bridges two distributions while minimizing a given cost function. OT theory has been widely utilized in generative modeling. In the beginning, OT distance has been used as a…

Machine Learning · Computer Science 2024-03-08 Jaemoo Choi , Jaewoong Choi , Myungjoo Kang

In this work, we introduce Adapt & Align, a method for continual learning of neural networks by aligning latent representations in generative models. Neural Networks suffer from abrupt loss in performance when retrained with additional…

Machine Learning · Computer Science 2023-12-22 Kamil Deja , Bartosz Cywiński , Jan Rybarczyk , Tomasz Trzciński

In this work, we develop an optimal transport (OT) based framework to select informative prototypical examples that best represent a given target dataset. Summarizing a given target dataset via representative examples is an important…

Machine Learning · Computer Science 2021-04-06 Karthik S. Gurumoorthy , Pratik Jawanpuria , Bamdev Mishra

Conditional Optimal Transport (COT) problem aims to find a transport map between conditional source and target distributions while minimizing the transport cost. Recently, these transport maps have been utilized in conditional generative…

Machine Learning · Computer Science 2026-03-13 Jiwoo Yoon , Kyumin Choi , Jaewoong Choi

Modern transportation network modeling increasingly involves the integration of diverse methodologies including sensor-based forecasting, reinforcement learning, classical flow optimization, and demand modeling that have traditionally been…

Optimization and Control · Mathematics 2025-07-08 Xuesong , Zhou , Taehooie Kim , Mostafa Ameli , Henan , Zhu , Yu- dai Honma , Ram M. Pendyala

Merging models fine-tuned for different tasks into a single unified model has become an increasingly important direction for building versatile, efficient multi-task systems. Existing approaches predominantly rely on parameter interpolation…

Machine Learning · Computer Science 2025-11-26 Zecheng Pan , Zhikang Chen , Ding Li , Min Zhang , Sen Cui , Hongshuo Jin , Luqi Tao , Yi Yang , Deheng Ye , Yu Zhang , Tingting Zhu , Tianling Ren

Collaborative autonomous driving with multiple vehicles usually requires the data fusion from multiple modalities. To ensure effective fusion, the data from each individual modality shall maintain a reasonably high quality. However, in…

Artificial Intelligence · Computer Science 2024-08-02 Zhe Huang , Shuo Wang , Yongcai Wang , Wanting Li , Deying Li , Lei Wang

A novel Gromov-Wasserstein learning framework is proposed to jointly match (align) graphs and learn embedding vectors for the associated graph nodes. Using Gromov-Wasserstein discrepancy, we measure the dissimilarity between two graphs and…

Machine Learning · Computer Science 2019-05-08 Hongteng Xu , Dixin Luo , Hongyuan Zha , Lawrence Carin

In the latest advancements in multimodal learning, effectively addressing the spatial and semantic losses of visual data after encoding remains a critical challenge. This is because the performance of large multimodal models is positively…

Computer Vision and Pattern Recognition · Computer Science 2025-07-30 Shaojun E , Yuchen Yang , Jiaheng Wu , Yan Zhang , Tiejun Zhao , Ziyan Chen

Comparing unpaired samples of a distribution or population taken at different points in time is a fundamental task in many application domains where measuring populations is destructive and cannot be done repeatedly on the same sample, such…

Non-autoregressive neural machine translation (NART) models suffer from the multi-modality problem which causes translation inconsistency such as token repetition. Most recent approaches have attempted to solve this problem by implicitly…

Computation and Language · Computer Science 2021-09-15 Jongyoon Song , Sungwon Kim , Sungroh Yoon

Network alignment, the process of finding correspondences between nodes in different graphs, has many scientific and industrial applications. Existing unsupervised network alignment methods find suboptimal alignments that break up node…

Social and Information Networks · Computer Science 2020-08-19 Xiyuan Chen , Mark Heimann , Fatemeh Vahedian , Danai Koutra

Cross-domain alignment between image objects and text sequences is key to many visual-language tasks, and it poses a fundamental challenge to both computer vision and natural language processing. This paper investigates a novel approach for…

Computer Vision and Pattern Recognition · Computer Science 2020-08-18 Siyang Yuan , Ke Bai , Liqun Chen , Yizhe Zhang , Chenyang Tao , Chunyuan Li , Guoyin Wang , Ricardo Henao , Lawrence Carin

Different machine learning models can represent the same underlying concept in different ways. This variability is particularly valuable for in-the-wild multimodal retrieval, where the objective is to identify the corresponding…

Information Retrieval · Computer Science 2025-06-11 Fan Xu , Luis A. Leiva

We propose a neural embedding algorithm called Network Vector, which learns distributed representations of nodes and the entire networks simultaneously. By embedding networks in a low-dimensional space, the algorithm allows us to compare…

Social and Information Networks · Computer Science 2017-09-11 Hao Wu , Kristina Lerman

Segmenting multiple objects (e.g., organs) in medical images often requires an understanding of their topology, which simultaneously quantifies the shape of the objects and their positions relative to each other. This understanding is…

Image and Video Processing · Electrical Eng. & Systems 2024-08-16 Mehmet Bahadir Erden , Sinan Unver , Ilke Ali Gurses , Rustu Turkay , Cigdem Gunduz-Demir

Contrastive loss has been increasingly used in learning representations from multiple modalities. In the limit, the nature of the contrastive loss encourages modalities to exactly match each other in the latent space. Yet it remains an open…

Machine Learning · Computer Science 2023-03-13 Qian Jiang , Changyou Chen , Han Zhao , Liqun Chen , Qing Ping , Son Dinh Tran , Yi Xu , Belinda Zeng , Trishul Chilimbi

Measuring sentence similarity is a classic topic in natural language processing. Light-weighted similarities are still of particular practical significance even when deep learning models have succeeded in many other tasks. Some…

Computation and Language · Computer Science 2020-02-04 Zihao Wang , Yong Zhang , Hao Wu
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