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Principal component analysis (PCA) has been widely applied to dimensionality reduction and data pre-processing for different applications in engineering, biology and social science. Classical PCA and its variants seek for linear projections…

机器学习 · 计算机科学 2017-07-11 Xiaojun Chang , Feiping Nie , Yi Yang , Heng Huang

Visual anomaly detection targets to detect images that notably differ from normal pattern, and it has found extensive application in identifying defective parts within the manufacturing industry. These anomaly detection paradigms…

计算机视觉与模式识别 · 计算机科学 2024-11-15 Anindya Sundar Das , Guansong Pang , Monowar Bhuyan

Independent component analysis (ICA) is a fundamental data processing technique to decompose the captured signals into as independent as possible components. Computing the contrast function, which serves as a measure of independence of…

量子物理 · 物理学 2023-11-22 Xiao-Fan Xu , Cheng Xue , Zhao-Yun Chen , Yu-Chun Wu , Guo-Ping Guo

Dimensionality reduction (DR) is frequently used for analyzing and visualizing high-dimensional data as it provides a good first glance of the data. However, to interpret the DR result for gaining useful insights from the data, it would…

机器学习 · 计算机科学 2019-10-16 Takanori Fujiwara , Oh-Hyun Kwon , Kwan-Liu Ma

Principal component analysis (PCA) is a standard tool for dimensional reduction of a set of $n$ observations (samples), each with $p$ variables. In this paper, using a matrix perturbation approach, we study the nonasymptotic relation…

统计理论 · 数学 2009-01-22 Boaz Nadler

We study semiparametric factor models in high-dimensional panels where the factor loadings consist of a nonparametric component explained by observed covariates and an idiosyncratic component capturing unobserved heterogeneity. A key…

统计方法学 · 统计学 2025-12-09 Sijie Zheng

Contrastive learning has gained significant attention as a method for self-supervised learning. The contrastive loss function ensures that embeddings of positive sample pairs (e.g., different samples from the same class or different views…

Few-shot segmentation enables the model to recognize unseen classes with few annotated examples. Most existing methods adopt prototype learning architecture, where support prototype vectors are expanded and concatenated with query features…

计算机视觉与模式识别 · 计算机科学 2022-03-09 Xiaoyu Zhao , Xiaoqian Chen , Zhiqiang Gong , Wen Yao , Yunyang Zhang , Xiaohu Zheng

Contrastive learning is a recent promising approach in unsupervised representation learning where a feature representation of data is learned by solving a pseudo classification problem from unlabelled data. However, it is not…

机器学习 · 计算机科学 2022-08-10 Hiroaki Sasaki , Takashi Takenouchi

Comparison is a core task in visual analysis. Although there are numerous guidelines to help users design effective visualizations to aid known comparison tasks, there are few techniques available when users want to make ad hoc comparisons…

人机交互 · 计算机科学 2022-02-17 Eugene Wu

Unsupervised anomaly detection in medical imaging aims to detect and localize arbitrary anomalies without requiring annotated anomalous data during training. Often, this is achieved by learning a data distribution of normal samples and…

计算机视觉与模式识别 · 计算机科学 2023-01-06 Carsten T. Lüth , David Zimmerer , Gregor Koehler , Paul F. Jaeger , Fabian Isensee , Jens Petersen , Klaus H. Maier-Hein

The goal of a classification model is to assign the correct labels to data. In most cases, this data is not fully described by the given set of labels. Often a rich set of meaningful concepts exist in the domain that can much more precisely…

机器学习 · 计算机科学 2021-08-23 Yoeri Poels , Vlado Menkovski

Latest methods for visual counterfactual explanations (VCE) harness the power of deep generative models to synthesize new examples of high-dimensional images of impressive quality. However, it is currently difficult to compare the…

计算机视觉与模式识别 · 计算机科学 2023-08-14 Philipp Vaeth , Alexander M. Fruehwald , Benjamin Paassen , Magda Gregorova

Robust principal component analysis (RPCA) is a powerful method for learning low-rank feature representation of various visual data. However, for certain types as well as significant amount of error corruption, it fails to yield…

计算机视觉与模式识别 · 计算机科学 2018-01-24 Niannan Xue , Jiankang Deng , Shiyang Cheng , Yannis Panagakis , Stefanos Zafeiriou

Contrastive learning has emerged as an essential approach for self-supervised learning in visual representation learning. The central objective of contrastive learning is to maximize the similarities between two augmented versions of an…

计算机视觉与模式识别 · 计算机科学 2023-04-18 Hengkui Dong , Xianzhong Long , Yun Li , Lei Chen

Word alignment is an important natural language processing task that indicates the correspondence between natural languages. Recently, unsupervised learning of log-linear models for word alignment has received considerable attention as it…

计算与语言 · 计算机科学 2014-10-13 Yang Liu , Maosong Sun

Principal component analysis (PCA) is a widely used method for data processing, such as for dimension reduction and visualization. Standard PCA is known to be sensitive to outliers, and thus, various robust PCA methods have been proposed.…

机器学习 · 统计学 2020-08-11 Keishi Sando , Hideitsu Hino

Classical methods such as Principal Component Analysis (PCA) and Canonical Correlation Analysis (CCA) are ubiquitous in statistics. However, these techniques are only able to reveal linear relationships in data. Although nonlinear variants…

机器学习 · 统计学 2014-05-14 David Lopez-Paz , Suvrit Sra , Alex Smola , Zoubin Ghahramani , Bernhard Schölkopf

What matters for contrastive learning? We argue that contrastive learning heavily relies on informative features, or "hard" (positive or negative) features. Early works include more informative features by applying complex data…

计算机视觉与模式识别 · 计算机科学 2023-08-10 Jiangmeng Li , Wenwen Qiang , Changwen Zheng , Bing Su , Hui Xiong

Contrastive dimension reduction (CDR) methods aim to extract signal unique to or enriched in a treatment (foreground) group relative to a control (background) group. This setting arises in many scientific domains, such as genomics, imaging,…

统计方法学 · 统计学 2025-10-15 Sam Hawke , Eric Zhang , Jiawen Chen , Didong Li