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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

Learning knowledge representation is an increasingly important technology applicable in many domain-specific machine learning problems. We discuss the effectiveness of traditional Link Prediction or Knowledge Graph Completion evaluation…

Artificial Intelligence · Computer Science 2020-02-24 Jianyu Liu , Hegler Tissot

Principal component analysis (PCA) is a widespread technique for data analysis that relies on the covariance-correlation matrix of the analyzed data. However to properly work with high-dimensional data, PCA poses severe mathematical…

Quantitative Methods · Quantitative Biology 2018-10-18 Luigi Leonardo Palese

Image classification has been studied extensively, but there has been limited work in using unconventional, external guidance other than traditional image-label pairs for training. We present a set of methods for leveraging information…

Computer Vision and Pattern Recognition · Computer Science 2020-04-28 Ankit Dhall , Anastasia Makarova , Octavian Ganea , Dario Pavllo , Michael Greeff , Andreas Krause

Multiview canonical correlation analysis (MCCA) seeks latent low-dimensional representations encountered with multiview data of shared entities (a.k.a. common sources). However, existing MCCA approaches do not exploit the geometry of the…

Signal Processing · Electrical Eng. & Systems 2019-05-22 Jia Chen , Gang Wang , Georgios B. Giannakis

There are a multitude of methods to perform multi-set correlated component analysis (MCCA), including some that require iterative solutions. The methods differ on the criterion they optimize and the constraints placed on the solutions. This…

Machine Learning · Statistics 2018-02-13 Lucas C Parra

A framework named Copula Component Analysis (CCA) for blind source separation is proposed as a generalization of Independent Component Analysis (ICA). It differs from ICA which assumes independence of sources that the underlying components…

Information Retrieval · Computer Science 2007-05-23 Jian Ma , Zengqi Sun

Self-supervised learning aims to learn a embedding space where semantically similar samples are close. Contrastive learning methods pull views of samples together and push different samples away, which utilizes semantic invariance of…

Machine Learning · Computer Science 2023-02-17 Lu Han , Han-Jia Ye , De-Chuan Zhan

Canonical relation extraction aims to extract relational triples from sentences, where the triple elements (entity pairs and their relationship) are mapped to the knowledge base. Recently, methods based on the encoder-decoder architecture…

Computation and Language · Computer Science 2023-12-13 Nantao Zheng , Siyu Long , Xinyu Dai

The strength of association between a pair of data vectors is represented by a nonnegative real number, called matching weight. For dimensionality reduction, we consider a linear transformation of data vectors, and define a matching error…

Machine Learning · Statistics 2015-12-15 Hidetoshi Shimodaira

Extracting meaningful latent representations from high-dimensional sequential data is a crucial challenge in machine learning, with applications spanning natural science and engineering. We introduce InfoDPCCA, a dynamic probabilistic…

Machine Learning · Computer Science 2025-06-11 Shiqin Tang , Shujian Yu

Training data for text classification is often limited in practice, especially for applications with many output classes or involving many related classification problems. This means classifiers must generalize from limited evidence, but…

Computation and Language · Computer Science 2020-05-19 Abhijit Mahabal , Jason Baldridge , Burcu Karagol Ayan , Vincent Perot , Dan Roth

Random features approach has been widely used for kernel approximation in large-scale machine learning. A number of recent studies have explored data-dependent sampling of features, modifying the stochastic oracle from which random features…

Machine Learning · Computer Science 2021-11-03 Yinsong Wang , Shahin Shahrampour

We introduce a conceptually simple yet effective model for self-supervised representation learning with graph data. It follows the previous methods that generate two views of an input graph through data augmentation. However, unlike…

Machine Learning · Computer Science 2021-10-29 Hengrui Zhang , Qitian Wu , Junchi Yan , David Wipf , Philip S. Yu

Blind source separation (BSS) is one of the most important and established research topics in signal processing and many algorithms have been proposed based on different statistical properties of the source signals. For second-order…

Numerical Analysis · Mathematics 2014-03-11 Wei Liu

One of the long-standing challenges in lexical semantics consists in learning representations of words which reflect their semantic properties. The remarkable success of word embeddings for this purpose suggests that high-quality…

Computation and Language · Computer Science 2021-06-16 Yixiao Wang , Zied Bouraoui , Luis Espinosa Anke , Steven Schockaert

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

Topic models are a useful analysis tool to uncover the underlying themes within document collections. The dominant approach is to use probabilistic topic models that posit a generative story, but in this paper we propose an alternative way…

Computation and Language · Computer Science 2020-10-08 Suzanna Sia , Ayush Dalmia , Sabrina J. Mielke

Formal Concept Analysis (FCA) is a mathematical theory based on the formalization of the notions of concept and concept hierarchies. It has been successfully applied to several Computer Science fields such as data mining,software…

Artificial Intelligence · Computer Science 2009-05-29 Leonard Kwuida , Rokia Missaoui , Lahcen Boumedjout , Jean Vaillancourt

Word embeddings have gained significant attention as learnable representations of semantic relations between words, and have been shown to improve upon the results of traditional word representations. However, little effort has been devoted…

Information Retrieval · Computer Science 2019-05-23 Gloria Feher , Andreas Spitz , Michael Gertz
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