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This article critically assesses the utility of the classical statistical technique of Canonical Correlation Analysis (CCA) for studying spatial associations and proposes a new approach to enhance it. Unlike bivariate correlation analysis,…

统计方法学 · 统计学 2026-02-12 Zhenzhi Jiao , Angela Yao , Ran Tao , Jean-Claude Thill

The analysis of large collections of image data is still a challenging problem due to the difficulty of capturing the true concepts in visual data. The similarity between images could be computed using different and possibly multimodal…

信息检索 · 计算机科学 2017-03-07 Renata Khasanova , Xiaowen Dong , Pascal Frossard

Canonical Correlation Analysis (CCA) and its regularised versions have been widely used in the neuroimaging community to uncover multivariate associations between two data modalities (e.g., brain imaging and behaviour). However, these…

Recently there is a growing focus on graph data, and multi-view graph clustering has become a popular area of research interest. Most of the existing methods are only applicable to homophilous graphs, yet the extensive real-world graph data…

机器学习 · 计算机科学 2024-01-08 Zichen Wen , Yawen Ling , Yazhou Ren , Tianyi Wu , Jianpeng Chen , Xiaorong Pu , Zhifeng Hao , Lifang He

Cross-modal retrieval between videos and texts has attracted growing attentions due to the rapid emergence of videos on the web. The current dominant approach for this problem is to learn a joint embedding space to measure cross-modal…

计算机视觉与模式识别 · 计算机科学 2020-03-03 Shizhe Chen , Yida Zhao , Qin Jin , Qi Wu

For graph classification tasks, many traditional kernel methods focus on measuring the similarity between graphs. These methods have achieved great success on resolving graph isomorphism problems. However, in some classification problems,…

机器学习 · 计算机科学 2021-02-18 Jianming Huang , Hiroyuki Kasai

Graph matching aims to establish correspondences between vertices of graphs such that both the node and edge attributes agree. Various learning-based methods were recently proposed for finding correspondences between image key points based…

计算机视觉与模式识别 · 计算机科学 2022-05-10 Zhenzhang Ye , Tarun Yenamandra , Florian Bernard , Daniel Cremers

Graphs play a crucial role in data mining and machine learning, representing real-world objects and interactions. As graph datasets grow, managing large, decentralized subgraphs becomes essential, particularly within federated learning…

机器学习 · 计算机科学 2024-10-21 Ömer Faruk Akgül , Rajgopal Kannan , Viktor Prasanna

Due to the development of graph neural networks, graph-based representation learning methods have made great progress in recommender systems. However, data sparsity is still a challenging problem that most graph-based recommendation methods…

信息检索 · 计算机科学 2021-10-25 Chaoyang Wang , Zhiqiang Guo , Guohui Li , Jianjun Li , Peng Pan , Ke Liu

Knowledge graph question answering (KGQA) based on information retrieval aims to answer a question by retrieving answer from a large-scale knowledge graph. Most existing methods first roughly retrieve the knowledge subgraphs (KSG) that may…

计算与语言 · 计算机科学 2022-10-06 Hanning Gao , Lingfei Wu , Po Hu , Zhihua Wei , Fangli Xu , Bo Long

Answering semantically-complicated questions according to an image is challenging in Visual Question Answering (VQA) task. Although the image can be well represented by deep learning, the question is always simply embedded and cannot well…

计算机视觉与模式识别 · 计算机科学 2021-12-15 JianJian Cao , Xiameng Qin , Sanyuan Zhao , Jianbing Shen

The Wasserstein distance received a lot of attention recently in the community of machine learning, especially for its principled way of comparing distributions. It has found numerous applications in several hard problems, such as domain…

机器学习 · 统计学 2017-10-23 Nicolas Courty , Rémi Flamary , Mélanie Ducoffe

Understanding a scene by decoding the visual relationships depicted in an image has been a long studied problem. While the recent advances in deep learning and the usage of deep neural networks have achieved near human accuracy on many…

计算机视觉与模式识别 · 计算机科学 2020-05-19 Aniket Agarwal , Ayush Mangal , Vipul

Integrating data from heterogeneous sources is often modeled as merging graphs. Given two or more 'compatible', but not-isomorphic graphs, the first step is to identify a graph alignment, where a potentially partial mapping of vertices…

社会与信息网络 · 计算机科学 2018-03-13 Abdurrahman Yaşar , Ümit V. Çatalyürek

In this paper, we tackle a significant challenge in PCA: heterogeneity. When data are collected from different sources with heterogeneous trends while still sharing some congruency, it is critical to extract shared knowledge while retaining…

机器学习 · 计算机科学 2025-08-25 Naichen Shi , Raed Al Kontar

This paper introduces a novel graph signal processing framework for building graph-based models from classes of filtered signals. In our framework, graph-based modeling is formulated as a graph system identification problem, where the goal…

机器学习 · 计算机科学 2018-03-08 Hilmi E. Egilmez , Eduardo Pavez , Antonio Ortega

Generalized correlation analysis (GCA) is concerned with uncovering linear relationships across multiple datasets. It generalizes canonical correlation analysis that is designed for two datasets. We study sparse GCA when there are…

机器学习 · 统计学 2023-02-07 Sheng Gao , Zongming Ma

This paper studies the optimization of the KL functional on the Wasserstein space of probability measures, and develops a sampling framework based on Wasserstein gradient descent (WGD). We identify two important subclasses of the…

统计计算 · 统计学 2026-02-04 Van Chien Ta , Thi Mai Hong Chu , Minh-Ngoc Tran

The customization of recommended content to users holds significant importance in enhancing user experiences across a wide spectrum of applications such as e-commerce, music, and shopping. Graph-based methods have achieved considerable…

信息检索 · 计算机科学 2023-12-05 Narges Sadat Fazeli Dehkordi , Hadi Zare , Parham Moradi , Mahdi Jalili

Change Point Detection (CPD) aims to identify moments of abrupt distribution shifts in data streams. Real-world high-dimensional CPD remains challenging due to data pattern complexity and violation of common assumptions. Resorting to…

机器学习 · 统计学 2025-10-03 Alexander Stepikin , Evgenia Romanenkova , Alexey Zaytsev