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Distance measures between graphs are important primitives for a variety of learning tasks. In this work, we describe an unsupervised, optimal transport based approach to define a distance between graphs. Our idea is to derive…

计算工程、金融与科学 · 计算机科学 2024-04-11 Michael Scholkemper , Damin Kühn , Gerion Nabbefeld , Simon Musall , Björn Kampa , Michael T. Schaub

With the rapid development of online payment platforms, it is now possible to record massive transaction data. Clustering on transaction data significantly contributes to analyzing merchants' behavior patterns. This enables payment…

统计方法学 · 统计学 2023-02-17 Yingqiu Zhu , Danyang Huang , Bo Zhang

In many applications, a dataset can be considered as a set of observed signals that live on an unknown underlying graph structure. Some of these signals may be seen as white noise that has been filtered on the graph topology by a graph…

机器学习 · 计算机科学 2020-10-30 Matthias Minder , Zahra Farsijani , Dhruti Shah , Mireille El Gheche , Pascal Frossard

We propose GHR-VQA, Graph-guided Hierarchical Relational Reasoning for Video Question Answering (Video QA), a novel human-centric framework that incorporates scene graphs to capture intricate human-object interactions within video…

计算机视觉与模式识别 · 计算机科学 2025-11-26 Dionysia Danai Brilli , Dimitrios Mallis , Vassilis Pitsikalis , Petros Maragos

Graph contrastive learning (GCL) has achieved remarkable success by following the computer vision paradigm of preserving absolute similarity between augmented views. However, this approach faces fundamental challenges in graphs due to their…

机器学习 · 计算机科学 2025-05-13 Zhiyuan Ning , Pengfei Wang , Ziyue Qiao , Pengyang Wang , Yuanchun Zhou

We seek a generalization of regression and principle component analysis (PCA) in a metric space where data points are distributions metrized by the Wasserstein metric. We recast these analyses as multimarginal optimal transport problems.…

最优化与控制 · 数学 2020-04-20 Amirhossein Karimi , Luigia Ripani , Tryphon T. Georgiou

Video summarization aims to simplify large scale video browsing by generating concise, short summaries that diver from but well represent the original video. Due to the scarcity of video annotations, recent progress for video summarization…

计算机视觉与模式识别 · 计算机科学 2021-09-07 Guande Wu , Jianzhe Lin , Claudio T. Silva

Graph self-supervised learning (SSL) has been vastly employed to learn representations from unlabeled graphs. Existing methods can be roughly divided into predictive learning and contrastive learning, where the latter one attracts more…

机器学习 · 计算机科学 2022-11-29 Jiashun Cheng , Man Li , Jia Li , Fugee Tsung

Graph-based collaborative filtering (CF) algorithms have gained increasing attention. Existing work in this literature usually models the user-item interactions as a bipartite graph, where users and items are two isolated node sets and…

信息检索 · 计算机科学 2020-11-19 Zekun Li , Yujia Zheng , Shu Wu , Xiaoyu Zhang , Liang Wang

The graph matching optimization problem is an essential component for many tasks in computer vision, such as bringing two deformable objects in correspondence. Naturally, a wide range of applicable algorithms have been proposed in the last…

计算机视觉与模式识别 · 计算机科学 2022-08-01 Stefan Haller , Lorenz Feineis , Lisa Hutschenreiter , Florian Bernard , Carsten Rother , Dagmar Kainmüller , Paul Swoboda , Bogdan Savchynskyy

Personalized recommendation is ubiquitous, playing an important role in many online services. Substantial research has been dedicated to learning vector representations of users and items with the goal of predicting a user's preference for…

信息检索 · 计算机科学 2020-01-03 Jianing Sun , Yingxue Zhang , Chen Ma , Mark Coates , Huifeng Guo , Ruiming Tang , Xiuqiang He

In many applications signals reside on the vertices of weighted graphs. Thus, there is the need to learn low dimensional representations for graph signals that will allow for data analysis and interpretation. Existing unsupervised…

信号处理 · 电气工程与系统科学 2018-12-14 Effrosyni Simou , Pascal Frossard

In this paper, we expand upon the theory of trend filtering by introducing the use of the Wasserstein metric as a means to control the amount of spatiotemporal variation in filtered time series data. While trend filtering utilizes…

信号处理 · 电气工程与系统科学 2019-10-25 Erdem Varol , Amin Nejatbakhsh

In several machine learning tasks for graph structured data, the graphs under consideration may be composed of a varying number of nodes. Therefore, it is necessary to design pooling methods that aggregate the graph representations of…

机器学习 · 计算机科学 2022-05-20 Effrosyni Simou

The collaborative filtering (CF) problem with only user-item interaction information can be solved by graph signal processing (GSP), which uses low-pass filters to smooth the observed interaction signals on the similarity graph to obtain…

信息检索 · 计算机科学 2023-02-07 Jiahao Liu , Dongsheng Li , Hansu Gu , Tun Lu , Peng Zhang , Li Shang , Ning Gu

Generalized Canonical Correlation Analysis (GCCA) is an important tool that finds numerous applications in data mining, machine learning, and artificial intelligence. It aims at finding `common' random variables that are strongly correlated…

机器学习 · 计算机科学 2021-05-19 Mikael Sørensen , Charilaos I. Kanatsoulis , Nicholas D. Sidiropoulos

Spectral graph convolution, an important tool of data filtering on graphs, relies on two essential decisions: selecting spectral bases for signal transformation and parameterizing the kernel for frequency analysis. While recent techniques…

机器学习 · 计算机科学 2025-05-15 Nian Liu , Xiaoxin He , Thomas Laurent , Francesco Di Giovanni , Michael M. Bronstein , Xavier Bresson

Collaborative filtering is a critical technique in recommender systems. It has been increasingly viewed as a conditional generative task for user feedback data, where newly developed diffusion model shows great potential. However, existing…

信息检索 · 计算机科学 2024-04-25 Yunqin Zhu , Chao Wang , Qi Zhang , Hui Xiong

This paper focuses on Geodesic Principal Component Analysis (GPCA) on a collection of probability distributions using the Otto-Wasserstein geometry. The goal is to identify geodesic curves in the space of probability measures that best…

机器学习 · 统计学 2025-06-06 Nina Vesseron , Elsa Cazelles , Alice Le Brigant , Thierry Klein

This paper studies the problem of recovering a hidden vertex correspondence between two correlated graphs when both edge weights and node features are observed. While most existing work on graph alignment relies primarily on edge…

统计理论 · 数学 2026-04-07 Dong Huang , Chenyang Tian , Pengkun Yang