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Low-rank factorization is a popular model compression technique that minimizes the error $\delta$ between approximated and original weight matrices. Despite achieving performances close to the original models when $\delta$ is optimized, a…

Machine Learning · Computer Science 2025-12-24 Boyang Zhang , Daning Cheng , Yunquan Zhang , Fangming Liu , Jiake Tian

In light of recent data science trends, new interest has fallen in alternative matrix factorizations. By this, we mean various ways of factorizing particular data matrices so that the factors have special properties and reveal insights into…

Optimization and Control · Mathematics 2023-02-21 Andries Steenkamp

Distributed representations of words as real-valued vectors in a relatively low-dimensional space aim at extracting syntactic and semantic features from large text corpora. A recently introduced neural network, named word2vec (Mikolov et…

Computation and Language · Computer Science 2015-08-11 Adriaan M. J. Schakel , Benjamin J. Wilson

We propose a novel linear discriminant analysis approach for the classification of high-dimensional matrix-valued data that commonly arises from imaging studies. Motivated by the equivalence of the conventional linear discriminant analysis…

Methodology · Statistics 2019-05-06 Wei Hu , Weining Shen , Hua Zhou , Dehan Kong

Low-rank methods have shown success in accelerating simulations of a collisionless plasma described by the Vlasov equation, but still rely on computationally costly linear algebra every time step. We propose a data-driven factorization…

Numerical Analysis · Mathematics 2025-01-09 Bhavana Jonnalagadda , Stephen Becker

Text Categorization is traditionally done by using the term frequency and inverse document frequency.This type of method is not very good because, some words which are not so important may appear in the document .The term frequency of…

Information Retrieval · Computer Science 2016-11-25 Srikanth Bethu , G Charless Babu , J Vinoda , E Priyadarshini , M Raghavendra rao

We propose a novel graph visualization method leveraging random walk-based embeddings to replace costly graph-theoretical distance computations. Using word2vec-inspired embeddings, our approach captures both structural and semantic…

Computational Geometry · Computer Science 2025-09-23 Minglai Yang , Reyan Ahmed

Factorization machines (FMs) are a powerful tool for regression and classification in the context of sparse observations, that has been successfully applied to collaborative filtering, especially when side information over users or items is…

Machine Learning · Computer Science 2022-12-21 Jill-Jênn Vie , Tomas Rigaux , Hisashi Kashima

Matrix decomposition is ubiquitous and has applications in various fields like speech processing, data mining and image processing to name a few. Under matrix decomposition, nonnegative matrix factorization is used to decompose a…

Optimization and Control · Mathematics 2019-05-14 R. Jyothi , P. Babu , R. Bahl

We present a feature vector formation technique for documents - Sparse Composite Document Vector (SCDV) - which overcomes several shortcomings of the current distributional paragraph vector representations that are widely used for text…

Computation and Language · Computer Science 2017-05-15 Dheeraj Mekala , Vivek Gupta , Bhargavi Paranjape , Harish Karnick

We propose a novel method for selecting coherent and diverse responses for a given dialogue context. The proposed method re-ranks response candidates generated from conversational models by using event causality relations between events in…

Computation and Language · Computer Science 2019-06-25 Shohei Tanaka , Koichiro Yoshino , Katsuhito Sudoh , Satoshi Nakamura

Multi-view learning accomplishes the task objectives of classification by leverag-ing the relationships between different views of the same object. Most existing methods usually focus on consistency and complementarity between multiple…

Machine Learning · Computer Science 2022-01-14 Jian-wei Liu , Yuan-fang Wang , Run-kun Lu , Xionglin Luo

While existing machine learning models have achieved great success for sentiment classification, they typically do not explicitly capture sentiment-oriented word interaction, which can lead to poor results for fine-grained analysis at the…

Computation and Language · Computer Science 2018-01-19 Shuai Wang , Mianwei Zhou , Geli Fei , Yi Chang , Bing Liu

In order to construct accurate proposers for Metropolis-Hastings Markov Chain Monte Carlo, we integrate ideas from probabilistic graphical models and neural networks in an open-source framework we call Lightweight Inference Compilation…

Machine Learning · Computer Science 2022-05-18 Feynman Liang , Nimar Arora , Nazanin Tehrani , Yucen Li , Michael Tingley , Erik Meijer

In text summarization and simplification, system outputs must be evaluated along multiple dimensions such as relevance, factual consistency, fluency, and grammaticality, and a wide range of possible outputs could be of high quality. These…

Computation and Language · Computer Science 2022-10-14 Yu Lu Liu , Rachel Bawden , Thomas Scialom , Benoît Sagot , Jackie Chi Kit Cheung

In this work, we leverage the linear algebraic structure of distributed word representations to automatically extend knowledge bases and allow a machine to learn new facts about the world. Our goal is to extract structured facts from…

Computation and Language · Computer Science 2015-11-24 Lisa Seung-Yeon Lee

In this paper, we propose three approaches for the estimation of the Tucker decomposition of multi-way arrays (tensors) from partial observations. All approaches are formulated as convex minimization problems. Therefore, the minimum is…

Machine Learning · Statistics 2015-03-17 Ryota Tomioka , Kohei Hayashi , Hisashi Kashima

The matrix factor model has drawn growing attention for its advantage in achieving two-directional dimension reduction simultaneously for matrix-structured observations. In this paper, we propose a simple iterative least squares algorithm…

Methodology · Statistics 2023-08-02 Yong He , Ran Zhao , Wen-Xin Zhou

Coupled decompositions are a widely used tool for data fusion. As the volume of data increases, so does the dimensionality of matrices and tensors, highlighting the need for more efficient coupled decomposition algorithms. This paper…

Numerical Analysis · Mathematics 2026-04-22 Erna Begovic , Anita Carevic , Ivana Sain Glibic

Low-rank approximation of a matrix by means of random sampling has been consistently efficient in its empirical studies by many scientists who applied it with various sparse and structured multipliers, but adequate formal support for this…

Numerical Analysis · Mathematics 2016-06-07 Victor Y. Pan , Liang Zhao