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The Gromov-Wasserstein (GW) distance, rooted in optimal transport (OT) theory, quantifies dissimilarity between metric measure spaces and provides a framework for aligning heterogeneous datasets. While computational aspects of the GW…

统计理论 · 数学 2023-10-02 Zhengxin Zhang , Ziv Goldfeld , Youssef Mroueh , Bharath K. Sriperumbudur

Knowledge graph representation learning approaches provide a mapping between symbolic knowledge in the form of triples in a knowledge graph (KG) and their feature vectors. Knowledge graph embedding (KGE) models often represent relations in…

机器学习 · 计算机科学 2025-07-18 Kossi Amouzouvi , Bowen Song , Andrea Coletta , Luigi Bellomarini , Jens Lehmann , Sahar Vahdati

We investigate the problem of sampling from posterior distributions with intractable normalizing constants in Bayesian inference. Our solution is a new generative modeling approach based on optimal transport (OT) that learns a deterministic…

统计计算 · 统计学 2026-03-03 Ke Li , Wei Han , Yuexi Wang , Yun Yang

This article introduces a new notion of optimal transport (OT) between tensor fields, which are measures whose values are positive semidefinite (PSD) matrices. This "quantum" formulation of OT (Q-OT) corresponds to a relaxed version of the…

图形学 · 计算机科学 2017-07-25 Gabriel Peyré , Lenaïc Chizat , François-Xavier Vialard , Justin Solomon

Graph kernel is a powerful tool measuring the similarity between graphs. Most of the existing graph kernels focused on node labels or attributes and ignored graph hierarchical structure information. In order to effectively utilize graph…

机器学习 · 计算机科学 2020-11-03 Kai Ma , Peng Wan , Daoqiang Zhang

Computing optimal transport (OT) for general high-dimensional data has been a long-standing challenge. Despite much progress, most of the efforts including neural network methods have been focused on the static formulation of the OT…

机器学习 · 统计学 2025-03-12 Chen Xu , Xiuyuan Cheng , Yao Xie

Effective task-oriented semantic communications relies on perfect knowledge alignment between transmitters and receivers for accurate recovery of task-related semantic information, which can be susceptible to knowledge misalignment and…

信号处理 · 电气工程与系统科学 2025-01-06 Hong Chen , Fang Fang , Xianbin Wang

Optimal transport (OT) offers a versatile framework to compare complex data distributions in a geometrically meaningful way. Traditional methods for computing the Wasserstein distance and geodesic between probability measures require…

机器学习 · 计算机科学 2024-05-24 Andrew Gracyk , Xiaohui Chen

Visual domain adaptation aims to learn discriminative and domain-invariant representation for an unlabeled target domain by leveraging knowledge from a labeled source domain. Partial domain adaptation (PDA) is a general and practical…

计算机视觉与模式识别 · 计算机科学 2025-05-06 Yi-Ming Zhai , Chuan-Xian Ren , Hong Yan

Due to the modality discrepancy between textual and acoustic modeling, efficiently transferring linguistic knowledge from a pretrained language model (PLM) to acoustic encoding for automatic speech recognition (ASR) still remains a…

音频与语音处理 · 电气工程与系统科学 2023-09-29 Xugang Lu , Peng Shen , Yu Tsao , Hisashi Kawai

Optimal transport (OT) defines a powerful framework to compare probability distributions in a geometrically faithful way. However, the practical impact of OT is still limited because of its computational burden. We propose a new class of…

最优化与控制 · 数学 2016-05-30 Genevay Aude , Marco Cuturi , Gabriel Peyré , Francis Bach

Despite remarkable advances in natural language processing, developing effective systems for low-resource languages remains a formidable challenge, with performances typically lagging far behind high-resource counterparts due to data…

人工智能 · 计算机科学 2026-02-06 Subhadip Maji , Arnab Bhattacharya

Beyond word embeddings, continuous representations of knowledge graph (KG) components, such as entities, types and relations, are widely used for entity mention disambiguation, relation inference and deep question answering. Great strides…

信息检索 · 计算机科学 2018-05-15 Sandeep Subramanian , Soumen Chakrabarti

The graph matching problem seeks to find an alignment between the nodes of two graphs that minimizes the number of adjacency disagreements. Solving the graph matching is increasingly important due to it's applications in operations…

机器学习 · 统计学 2021-11-11 Ali Saad-Eldin , Benjamin D. Pedigo , Carey E. Priebe , Joshua T. Vogelstein

We investigate the problem of efficiently computing optimal transport (OT) distances, which is equivalent to the node-capacitated minimum cost maximum flow problem in a bipartite graph. We compare runtimes in computing OT distances on data…

数据结构与算法 · 计算机科学 2020-07-07 Yihe Dong , Yu Gao , Richard Peng , Ilya Razenshteyn , Saurabh Sawlani

Wasserstein distances form a family of metrics on spaces of probability measures that have recently seen many applications. However, statistical analysis in these spaces is complex due to the nonlinearity of Wasserstein spaces. One…

统计方法学 · 统计学 2024-11-18 Michael Wilson , Tom Needham , Anuj Srivastava

We study multi-marginal optimal transport (MOT) problems where the underlying cost has a graphical structure. These graphical multi-marginal optimal transport problems have found applications in several domains including traffic flow…

最优化与控制 · 数学 2025-12-02 Jiaojiao Fan , Isabel Haasler , Qinsheng Zhang , Johan Karlsson , Yongxin Chen

Motivated by the success of pre-trained language models such as BERT in a broad range of natural language processing (NLP) tasks, recent research efforts have been made for adapting these models for different application domains. Along this…

计算与语言 · 计算机科学 2021-12-07 Denghui Zhang , Zixuan Yuan , Yanchi Liu , Hao Liu , Fuzhen Zhuang , Hui Xiong , Haifeng Chen

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…

计算机视觉与模式识别 · 计算机科学 2020-08-18 Siyang Yuan , Ke Bai , Liqun Chen , Yizhe Zhang , Chenyang Tao , Chunyuan Li , Guoyin Wang , Ricardo Henao , Lawrence Carin

Efficiently capturing consistent and complementary semantic features in a multimodal conversation context is crucial for Multimodal Emotion Recognition in Conversation (MERC). Existing methods mainly use graph structures to model dialogue…

计算与语言 · 计算机科学 2024-05-06 Tao Meng , Fuchen Zhang , Yuntao Shou , Wei Ai , Nan Yin , Keqin Li
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