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Tensor canonical correlation analysis (TCCA) has garnered significant attention due to its effectiveness in capturing high-order correlations in multi-view learning. However, existing TCCA methods often underemphasize the characterization…

Optimization and Control · Mathematics 2025-12-10 Yanjiao Zhu , Wanquan Liu , Xianchao Xiu , Jianqin Sun

This paper proposes a new framework for Citation Content Analysis (CCA), for syntactic and semantic analysis of citation content that can be used to better analyze the rich sociocultural context of research behavior. The framework could be…

Digital Libraries · Computer Science 2012-11-28 Guo Zhang , Ying Ding , Staša Milojević

Many generative tasks in chemistry and science involve distributions invariant to group symmetries (e.g., permutation and rotation). A common strategy enforces invariance and equivariance through architectural constraints such as…

Machine Learning · Computer Science 2026-02-17 Cai Zhou , Zijie Chen , Zian Li , Jike Wang , Kaiyi Jiang , Pan Li , Rose Yu , Muhan Zhang , Stephen Bates , Tommi Jaakkola

We characterise some of the quirks and shortcomings in the exploration of Visual Dialogue - a sequential question-answering task where the questions and corresponding answers are related through given visual stimuli. To do so, we develop an…

Computer Vision and Pattern Recognition · Computer Science 2019-10-23 Daniela Massiceti , Puneet K. Dokania , N. Siddharth , Philip H. S. Torr

Integrative analyses of different high dimensional data types are becoming increasingly popular. Similarly, incorporating prior functional relationships among variables in data analysis has been a topic of increasing interest as it helps…

Methodology · Statistics 2016-06-09 Sandra E. Safo , Shuzhao Li , Qi Long

Causal learning is a beneficial approach to analyze the cause and effect relationships among variables in a dataset. A causal graph can be generated from a dataset using a particular causal algorithm, for instance, the PC algorithm or Fast…

Machine Learning · Computer Science 2019-10-09 Teny Handhayani , James Cussens

Canonical correlation analysis (CCA) is a state-of-the-art method for frequency recognition in steady-state visual evoked potential (SSVEP)-based brain-computer interface (BCI) systems. Various extended methods have been developed, and…

Neurons and Cognition · Quantitative Biology 2018-07-03 Yangsong Zhang , Erwei Yin , Fali Li , Yu Zhang , Toshihisa Tanaka , Qibin Zhao , Yan Cui , Peng Xu , Dezhong Yao , Daqing Guo

Principal Component Analysis (PCA) is the most widely used tool for linear dimensionality reduction and clustering. Still it is highly sensitive to outliers and does not scale well with respect to the number of data samples. Robust PCA…

Computer Vision and Pattern Recognition · Computer Science 2015-04-24 Nauman Shahid , Vassilis Kalofolias , Xavier Bresson , Michael Bronstein , Pierre Vandergheynst

Unsupervised anomaly detection aims to identify anomalous samples from highly complex and unstructured data, which is pervasive in both fundamental research and industrial applications. However, most existing methods neglect the complex…

Machine Learning · Computer Science 2020-10-20 Haoyi Fan , Fengbin Zhang , Ruidong Wang , Liang Xi , Zuoyong Li

Principal component analysis (PCA) is widely used for feature extraction and dimensionality reduction, with documented merits in diverse tasks involving high-dimensional data. Standard PCA copes with one dataset at a time, but it is…

Machine Learning · Computer Science 2019-01-30 Jia Chen , Gang Wang , Georgios B. Giannakis

Formal Concept Analysis (FCA) is a mathematical framework for knowledge representation and discovery. It performs a hierarchical clustering over a set of objects described by attributes, resulting in conceptual structures in which objects…

Artificial Intelligence · Computer Science 2025-08-12 Jessie Galasso

Analytics on large-scale graphs have posed significant challenges to computational efficiency and resource requirements. Recently, Graph condensation (GC) has emerged as a solution to address challenges arising from the escalating volume of…

Machine Learning · Computer Science 2024-02-06 Hongjia Xu , Liangliang Zhang , Yao Ma , Sheng Zhou , Zhuonan Zheng , Bu Jiajun

Correspondence analysis (CA) is a popular technique to visualize the relationship between two categorical variables. CA uses the data from a two-way contingency table and is affected by the presence of outliers. The supplementary points…

Methodology · Statistics 2026-01-05 Qianqian Qi , David J. Hessen , Aike N. Vonk , Peter G. M. van der Heijden

Imaging genetic research has essentially focused on discovering unique and co-association effects, but typically ignoring to identify outliers or atypical objects in genetic as well as non-genetics variables. Identifying significant…

Machine Learning · Statistics 2016-06-02 Md Ashad Alam , Yu-Ping Wang

A graph-based sampling and consensus (GraphSAC) approach is introduced to effectively detect anomalous nodes in large-scale graphs. Existing approaches rely on connectivity and attributes of all nodes to assign an anomaly score per node.…

Machine Learning · Computer Science 2019-10-23 Vassilis N. Ioannidis , Dimitris Berberidis , Georgios B. Giannakis

Root Cause Analysis (RCA) aims at identifying the underlying causes of system faults by uncovering and analyzing the causal structure from complex systems. It has been widely used in many application domains. Reliable diagnostic conclusions…

Artificial Intelligence · Computer Science 2024-07-15 Chang Gong , Di Yao , Jin Wang , Wenbin Li , Lanting Fang , Yongtao Xie , Kaiyu Feng , Peng Han , Jingping Bi

We compute a canonical circular-arc representation for a given circular-arc (CA) graph which implies solving the isomorphism and recognition problem for this class. To accomplish this we split the class of CA graphs into uniform and…

Data Structures and Algorithms · Computer Science 2018-02-02 Maurice Chandoo

We build on the interpretation of the Economic Complexity method as Correspondence Analysis (CA), and propose that the Canonical form of CA (CCA), which originated in the ecology literature, can be used to calculate multi-dimensional…

General Economics · Economics 2024-09-04 Önder Nomaler , Bart Verspagen

Cross-modality retrieval encompasses retrieval tasks where the fetched items are of a different type than the search query, e.g., retrieving pictures relevant to a given text query. The state-of-the-art approach to cross-modality retrieval…

Information Retrieval · Computer Science 2018-04-17 Matthias Dorfer , Jan Schlüter , Andreu Vall , Filip Korzeniowski , Gerhard Widmer

We present a canonical way to decompose finite graphs into highly connected local parts. The decomposition depends only on an integer parameter whose choice sets the intended degree of locality. The global structure of the graph, as…

Combinatorics · Mathematics 2025-07-01 Reinhard Diestel , Raphael W. Jacobs , Paul Knappe , Jan Kurkofka
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