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Aligning protein-protein interaction (PPI) networks of different species has drawn a considerable interest recently. This problem is important to investigate evolutionary conserved pathways or protein complexes across species, and to help…

Optimization and Control · Mathematics 2009-05-08 Mikhail Zaslavskiy , Francis Bach , Jean-Philippe Vert

Optimal transport (OT) compares probability distributions by computing a meaningful alignment between their samples. CO-optimal transport (COOT) takes this comparison further by inferring an alignment between features as well. While this…

Optimal transport (OT) and unbalanced optimal transport (UOT) are central in many machine learning, statistics and engineering applications. 1D OT is easily solved, with complexity O(n log n), but no efficient algorithm was known for 1D…

Performance · Computer Science 2024-02-15 Gabriel Gouvine

In this paper, we propose a new feature selection method for unsupervised domain adaptation based on the emerging optimal transportation theory. We build upon a recent theoretical analysis of optimal transport in domain adaptation and show…

Machine Learning · Computer Science 2018-06-29 Léo Gautheron , Ievgen Redko , Carole Lartizien

During training, supervised object detection tries to correctly match the predicted bounding boxes and associated classification scores to the ground truth. This is essential to determine which predictions are to be pushed towards which…

Computer Vision and Pattern Recognition · Computer Science 2023-07-06 Henri De Plaen , Pierre-François De Plaen , Johan A. K. Suykens , Marc Proesmans , Tinne Tuytelaars , Luc Van Gool

Accurate protein function prediction requires integrating heterogeneous intrinsic signals (e.g., sequence and structure) with noisy extrinsic contexts (e.g., protein-protein interactions and GO term annotations). However, two key challenges…

Machine Learning · Computer Science 2025-10-28 Runjie Zheng , Zhen Wang , Anjie Qiao , Jiancong Xie , Jiahua Rao , Yuedong Yang

The analysis of the three-dimensional structure of proteins is an important topic in molecular biochemistry. Structure plays a critical role in defining the function of proteins and is more strongly conserved than amino acid sequence over…

Applications · Statistics 2015-01-19 Abel Rodriguez , Scott C. Schmidler

Proteins are essential biological macromolecules that execute life functions. Local structural motifs, such as active sites, are the most critical components for linking structure to function and are key to understanding protein evolution…

Quantitative Methods · Quantitative Biology 2026-04-10 Zhiyu Wang , Bingxin Zhou , Jing Wang , Yang Tan , Weishu Zhao , Pietro Liò , Liang Hong

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

In the realm of computer vision and graphics, accurately establishing correspondences between geometric 3D shapes is pivotal for applications like object tracking, registration, texture transfer, and statistical shape analysis. Moving…

Computer Vision and Pattern Recognition · Computer Science 2024-03-05 Tung Le , Khai Nguyen , Shanlin Sun , Nhat Ho , Xiaohui Xie

Motivation: High-throughput experimental techniques have been producing more and more protein-protein interaction (PPI) data. PPI network alignment greatly benefits the understanding of evolutionary relationship among species, helps…

Data Structures and Algorithms · Computer Science 2016-04-13 Somaye Hashemifar , Qixing Huang , Jinbo XU

Predicting molecule-protein interactions (MPIs) is a fundamental task in computational biology, with crucial applications in drug discovery and molecular function annotation. However, existing MPI models face two major challenges. First,…

Machine Learning · Computer Science 2025-12-11 Jiayu Qin , Zhengquan Luo , Guy Tadmor , Changyou Chen , David Zeevi , Zhiqiang Xu

Optimal transport (OT) provides powerful tools for comparing probability measures in various types. The Wasserstein distance which arises naturally from the idea of OT is widely used in many machine learning applications. Unfortunately,…

Optimization and Control · Mathematics 2021-06-03 Shu Liu , Haodong Sun , Hongyuan Zha

Proteins are the basic building blocks of life. They usually perform functions by folding to a particular structure. Understanding the folding process could help the researchers to understand the functions of proteins and could also help to…

Computational Engineering, Finance, and Science · Computer Science 2015-10-21 Jianzhu Ma

Optimal transport (OT) and Gromov-Wasserstein (GW) alignment provide interpretable geometric frameworks for comparing, transforming, and aggregating heterogeneous datasets -- tasks ubiquitous in data science and machine learning. Because…

Machine Learning · Computer Science 2025-12-04 Sanjit Dandapanthula , Aleksandr Podkopaev , Shiva Prasad Kasiviswanathan , Aaditya Ramdas , Ziv Goldfeld

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

Recent advances in Artificial Intelligence have enabled multi-modal systems to model and translate diverse information spaces. Extending beyond text and vision, we introduce OneProt, a multi-modal AI for proteins that integrates structural,…

Motion planning is a critical component of autonomous vehicle decision-making systems, directly determining trajectory safety and driving efficiency. While deep learning approaches have advanced planning capabilities, existing methods…

Artificial Intelligence · Computer Science 2025-10-29 Xin Yang , Yuhang Zhang , Wei Li , Xin Lin , Wenbin Zou , Chen Xu

Single-cell genomics has significantly advanced our understanding of cellular behavior, catalyzing innovations in treatments and precision medicine. However, single-cell sequencing technologies are inherently destructive and can only…

Machine Learning · Statistics 2024-11-08 Dominik Klein , Théo Uscidda , Fabian Theis , Marco Cuturi

Diversified distribution matching (DDM) finds a unified translation function mapping a diverse collection of conditional source distributions to their target counterparts. DDM was proposed to resolve content misalignment issues in unpaired…

Machine Learning · Computer Science 2025-11-11 Sagar Shrestha , Xiao Fu