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Principal component analysis (PCA) is by far the most widespread tool for unsupervised learning with high-dimensional data sets. Its application is popularly studied for the purpose of exploratory data analysis and online process…

应用统计 · 统计学 2019-02-12 Stefania Russo , Guangyu Li , Kris Villez

We present an extension of sparse PCA, or sparse dictionary learning, where the sparsity patterns of all dictionary elements are structured and constrained to belong to a prespecified set of shapes. This \emph{structured sparse PCA} is…

机器学习 · 统计学 2009-09-09 Rodolphe Jenatton , Guillaume Obozinski , Francis Bach

In this paper, we propose a low complexity quantum principal component analysis (qPCA) algorithm. Similar to the state-of-the-art qPCA, it achieves dimension reduction by extracting principal components of the data matrix, rather than all…

量子物理 · 物理学 2021-01-14 Chen He , Jiazhen Li , Weiqi Liu , Z. Jane Wang

Principal component analysis (PCA) is a classical and widely used method for dimensionality reduction, with applications in data compression, computer vision, pattern recognition, and signal processing. However, PCA is designed for…

统计方法学 · 统计学 2025-10-01 Wenhui Wu , Changchun Shang , Jianhua Zhao , Xuan Ma , Yue Wang

This paper presents a comprehensive overview of several multidimensional reduction methods focusing on Multidimensional Principal Component Analysis (MPCA), Multilinear Orthogonal Neighborhood Preserving Projection (MONPP), Multidimensional…

数值分析 · 数学 2026-01-05 Mohamed El Guide , Alaa El Ichi , Khalide Jbilou , Lothar Reichel , Hessah Alqahtani

A fundamental trade-off between effectiveness and efficiency needs to be balanced when designing an online question answering system. Effectiveness comes from sophisticated functions such as extractive machine reading comprehension (MRC),…

计算与语言 · 计算机科学 2019-08-14 Ming Yan , Jiangnan Xia , Chen Wu , Bin Bi , Zhongzhou Zhao , Ji Zhang , Luo Si , Rui Wang , Wei Wang , Haiqing Chen

Learning augmented is a machine learning concept built to improve the performance of a method or model, such as enhancing its ability to predict and generalize data or features, or testing the reliability of the method by introducing noise…

机器学习 · 计算机科学 2024-01-09 Issam K. O Jabari , Shofiyah , Pradiptya Kahvi S , Novi Nur Putriwijaya , Novanto Yudistira

We propose a method to create document representations that reflect their internal structure. We modify Tree-LSTMs to hierarchically merge basic elements such as words and sentences into blocks of increasing complexity. Our Structure…

计算与语言 · 计算机科学 2019-10-08 Khalil Mrini , Claudiu Musat , Michael Baeriswyl , Martin Jaggi

Edit-based approaches have recently shown promising results on multiple monolingual sequence transduction tasks. In contrast to conventional sequence-to-sequence (Seq2Seq) models, which learn to generate text from scratch as they are…

计算与语言 · 计算机科学 2022-05-11 Kostiantyn Omelianchuk , Vipul Raheja , Oleksandr Skurzhanskyi

Sparse principal component analysis (SPCA) has emerged as a powerful technique for modern data analysis, providing improved interpretation of low-rank structures by identifying localized spatial structures in the data and disambiguating…

Asymmetric Tensor PCA (ATPCA) is a prototypical model for studying the trade-offs between sample complexity, computation, and memory. Existing algorithms for this problem typically require at least…

机器学习 · 计算机科学 2026-04-14 Shihong Ding , Weicheng Lin , Cong Fang

We propose a new deep neural network model and its training scheme for text classification. Our model Sequence-to-convolution Neural Networks(Seq2CNN) consists of two blocks: Sequential Block that summarizes input texts and Convolution…

计算与语言 · 计算机科学 2020-06-04 Taehoon Kim , Jihoon Yang

We propose a Multi-Stage, Multi-Codebook (MSMC) approach to high-performance neural TTS synthesis. A vector-quantized, variational autoencoder (VQ-VAE) based feature analyzer is used to encode Mel spectrograms of speech training data by…

声音 · 计算机科学 2022-09-23 Haohan Guo , Fenglong Xie , Frank K. Soong , Xixin Wu , Helen Meng

Principal Component Analysis (PCA) is one of the most important methods to handle high dimensional data. However, most of the studies on PCA aim to minimize the loss after projection, which usually measures the Euclidean distance, though in…

机器学习 · 计算机科学 2019-03-19 Kai Liu , Qiuwei Li , Hua Wang , Gongguo Tang

Tensor decomposition of high-dimensional data often struggles to capture semantically or physically meaningful structures, particularly when relying on reconstruction objectives and fixed-rank constraints. We introduce a no-rank tensor…

机器学习 · 计算机科学 2026-03-03 Maryam Bagherian

Sparse Principal Component Analysis (sPCA) is a cardinal technique for obtaining combinations of features, or principal components (PCs), that explain the variance of high-dimensional datasets in an interpretable manner. This involves…

最优化与控制 · 数学 2025-12-02 Ryan Cory-Wright , Jean Pauphilet

Anchor-based large-scale multi-view clustering has attracted considerable attention for its effectiveness in handling massive datasets. However, current methods mainly seek the consensus embedding feature for clustering by exploring global…

机器学习 · 计算机科学 2024-04-12 Zhen Long , Qiyuan Wang , Yazhou Ren , Yipeng Liu , Ce Zhu

Sparse principal component analysis (PCA) is a popular dimensionality reduction technique for obtaining principal components which are linear combinations of a small subset of the original features. Existing approaches cannot supply…

最优化与控制 · 数学 2022-02-22 Dimitris Bertsimas , Ryan Cory-Wright , Jean Pauphilet

Dimensionality reduction for high-order tensors is a challenging problem. In conventional approaches, higher order tensors are `vectorized` via Tucker decomposition to obtain lower order tensors. This will destroy the inherent high-order…

计算机视觉与模式识别 · 计算机科学 2017-07-04 Fujiao Ju , Yanfeng Sun , Junbin Gao , Yongli Hu , Baocai Yin

Due to the rapid growth of smart agents such as weakly connected computational nodes and sensors, developing decentralized algorithms that can perform computations on local agents becomes a major research direction. This paper considers the…

机器学习 · 计算机科学 2021-02-09 Haishan Ye , Tong Zhang
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