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The Dual Diffusion Implicit Bridge (DDIB) is an emerging image-to-image (I2I) translation method that preserves cycle consistency while achieving strong flexibility. It links two independently trained diffusion models (DMs) in the source…

Computer Vision and Pattern Recognition · Computer Science 2025-11-17 Zhanpeng Wang , Shuting Cao , Yuhang Lu , Yuhan Li , Na Lei , Zhongxuan Luo

Color transfer is an image editing process that adjusts the colors of a picture to match a target picture's color theme. A natural color transfer not only matches the color styles but also prevents after-transfer artifacts due to image…

Computer Vision and Pattern Recognition · Computer Science 2016-08-05 Han Gong , Graham D. Finlayson , Robert B. Fisher

We present a 2-step optimal transport approach that performs a mapping from a source distribution to a target distribution. Here, the target has the particularity to present new classes not present in the source domain. The first step of…

Machine Learning · Computer Science 2020-10-05 Marwa Kechaou , Romain Hérault , Mokhtar Z. Alaya , Gilles Gasso

An optimal transport (OT) problem seeks to find the cheapest mapping between two distributions with equal total density, given the cost of transporting density from one place to another. Unbalanced OT allows for different total density in…

Optimization and Control · Mathematics 2025-07-28 Jacob J. M. Francis , Colin J. Cotter , Marion P. Mittermaier

Over the several recent years, there has been a boom in development of Flow Matching (FM) methods for generative modeling. One intriguing property pursued by the community is the ability to learn flows with straight trajectories which…

Machine Learning · Statistics 2024-11-11 Nikita Kornilov , Petr Mokrov , Alexander Gasnikov , Alexander Korotin

Cross-domain alignment between two sets of entities (e.g., objects in an image, words in a sentence) is fundamental to both computer vision and natural language processing. Existing methods mainly focus on designing advanced attention…

Computation and Language · Computer Science 2020-07-28 Liqun Chen , Zhe Gan , Yu Cheng , Linjie Li , Lawrence Carin , Jingjing Liu

The objective in statistical Optimal Transport (OT) is to consistently estimate the optimal transport plan/map solely using samples from the given source and target marginal distributions. This work takes the novel approach of posing…

Machine Learning · Computer Science 2020-11-11 J. Saketha Nath , Pratik Jawanpuria

Diffusion Models (DMs) have achieved remarkable progress in generative modeling. However, the mismatch between the forward terminal distribution and reverse initial distribution introduces prior error, leading to deviations of sampling…

Machine Learning · Computer Science 2026-02-06 Zhanpeng Wang , Shenghao Li , Jiameng Che , Chen Wang , Shangling Jui , Na Lei , Zhongxuan Luo

Optimal Transport, a theory for optimal allocation of resources, is widely used in various fields such as astrophysics, machine learning, and imaging science. However, many applications impose elementwise constraints on the transport plan…

Optimization and Control · Mathematics 2022-06-28 Zixuan Cang , Qing Nie , Yanxiang Zhao

We present FlowIt, a novel architecture for optical flow estimation designed to robustly handle large pixel displacements. At its core, FlowIt leverages a hierarchical transformer architecture that captures extensive global context,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Sadra Safadoust , Fabio Tosi , Matteo Poggi , Fatma Güney

With the widespread application of optimal transport (OT), its calculation becomes essential, and various algorithms have emerged. However, the existing methods either have low efficiency or cannot represent discontinuous maps. A novel…

Computer Vision and Pattern Recognition · Computer Science 2023-11-14 Zezeng Li , Shenghao Li , Lianbao Jin , Na Lei , Zhongxuan Luo

Cross-modal matching, a fundamental task in bridging vision and language, has recently garnered substantial research interest. Despite the development of numerous methods aimed at quantifying the semantic relatedness between image-text…

Information Retrieval · Computer Science 2026-03-17 Zhengxin Pan , Haishuai Wang , Fangyu Wu , Bailing Zhang , Jiajun Bu , Hongyang Chen

Optimal Transport (OT) theory has seen an increasing amount of attention from the computer science community due to its potency and relevance in modeling and machine learning. It introduces means that serve as powerful ways to compare…

Machine Learning · Computer Science 2021-06-04 Luis Caicedo Torres , Luiz Manella Pereira , M. Hadi Amini

Domain adaptation aims to transfer knowledge of labeled instances obtained from a source domain to a target domain to fill the gap between the domains. Most domain adaptation methods assume that the source and target domains have the same…

Machine Learning · Computer Science 2022-09-13 Toshimitsu Aritake , Hideitsu Hino

The optimal transport (OT) problem is a classical optimization problem having the form of linear programming. Machine learning applications put forward new computational challenges in its solution. In particular, the OT problem defines a…

Optimization and Control · Mathematics 2022-10-25 Nazarii Tupitsa , Pavel Dvurechensky , Darina Dvinskikh , Alexander Gasnikov

Artistically controlling fluids has always been a challenging task. Optimization techniques rely on approximating simulation states towards target velocity or density field configurations, which are often handcrafted by artists to…

Graphics · Computer Science 2020-05-05 Byungsoo Kim , Vinicius C. Azevedo , Markus Gross , Barbara Solenthaler

We propose a fast and scalable algorithm to project a given density on a set of structured measures defined over a compact 2D domain. The measures can be discrete or supported on curves for instance. The proposed principle and algorithm are…

Numerical Analysis · Mathematics 2019-02-05 Frédéric de Gournay , Jonas Kahn , Léo Lebrat , Pierre Weiss

Optimal transport (OT) aims to find a map $T$ that transports mass from one probability measure to another while minimizing a cost function. Recently, neural OT solvers have gained popularity in high dimensional biological applications such…

Machine Learning · Computer Science 2025-05-20 Peter Chen , Yue Xie , Qingpeng Zhang

Flow-matching models have recently emerged as a powerful framework for continuous generative modeling, including 3D point cloud synthesis. However, their deployment is limited by the need for multiple sequential sampling steps at inference…

Machine Learning · Computer Science 2026-03-20 Elaheh Akbari , Shansita Sharma , Ping He , Ahmadreza Moradipari , Kyungtae Han , Hamed Pirsiavash , Yikun Bai , Soheil Kolouri

Kernelized Correlation Filter (KCF) is one of the state-of-the-art object trackers. However, it does not reasonably model the distribution of correlation response during tracking process, which might cause the drifting problem, especially…

Computer Vision and Pattern Recognition · Computer Science 2016-12-19 Baochang Zhang , Zhigang Li , Xianbin Cao , Qixiang Ye , Chen Chen , Linlin Shen , Alessandro Perina , Rongrong Ji