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Data analysis often requires methods that are invariant with respect to specific transformations, such as rotations in case of images or shifts in case of images and time series. While principal component analysis (PCA) is a widely-used…

机器学习 · 统计学 2024-01-30 Florian Heinrichs

Cryo-electron microscopy nowadays often requires the analysis of hundreds of thousands of 2D images as large as a few hundred pixels in each direction. Here we introduce an algorithm that efficiently and accurately performs principal…

计算机视觉与模式识别 · 计算机科学 2015-12-16 Zhizhen Zhao , Yoel Shkolnisky , Amit Singer

The performance of modern deep learning-based systems dramatically depends on the quality of input objects. For example, face recognition quality would be lower for blurry or corrupted inputs. However, it is hard to predict the influence of…

计算机视觉与模式识别 · 计算机科学 2022-09-13 Roman Kail , Kirill Fedyanin , Nikita Muravev , Alexey Zaytsev , Maxim Panov

We introduce the notion of Principal Component Analysis (PCA) of image gradient orientations. As image data is typically noisy, but noise is substantially different from Gaussian, traditional PCA of pixel intensities very often fails to…

计算机视觉与模式识别 · 计算机科学 2010-05-18 Georgios Tzimiropoulos , Stefanos Zafeiriou

A large number of algorithms in machine learning, from principal component analysis (PCA), and its non-linear (kernel) extensions, to more recent spectral embedding and support estimation methods, rely on estimating a linear subspace from…

机器学习 · 统计学 2014-08-22 Alessandro Rudi , Guille D. Canas , Lorenzo Rosasco

The success of algorithms in the analysis of high-dimensional data is often attributed to the manifold hypothesis, which supposes that this data lie on or near a manifold of much lower dimension. It is often useful to determine or estimate…

机器学习 · 统计学 2024-09-10 Anna C. Gilbert , Kevin O'Neill

In recent years, researchers have proposed many deep learning (DL) methods for various tasks, and particularly face recognition (FR) made an enormous leap using these techniques. Deep FR systems benefit from the hierarchical architecture of…

Principal Component Analysis (PCA) is a method for estimating a subspace given noisy samples. It is useful in a variety of problems ranging from dimensionality reduction to anomaly detection and the visualization of high dimensional data.…

统计理论 · 数学 2019-06-14 David Hong , Laura Balzano , Jeffrey A. Fessler

Facial expression recognition (FER) has always been a challenging issue in computer vision. The different expressions of emotion and uncontrolled environmental factors lead to inconsistencies in the complexity of FER and variability of…

计算机视觉与模式识别 · 计算机科学 2018-03-02 Tianyuan Chang , Guihua Wen , Yang Hu , JiaJiong Ma

Principal components analysis (PCA) is a fundamental algorithm in data analysis. Its memory-restricted online versions are useful in many modern applications, where the data are too large to fit in memory, or when data arrive as a stream of…

机器学习 · 计算机科学 2023-06-08 Roy Mitz , Yoel Shkolnisky

This study conducts an empirical examination of MLP networks investigated through a rigorous methodical experimentation process involving three diverse datasets: TinyFace, Heart Disease, and Iris. Study Overview: The study includes three…

机器学习 · 计算机科学 2025-06-13 Mohammad Subhi Al-Batah , Mowafaq Salem Alzboon , Muhyeeddin Alqaraleh

Face Recognition has proven to be one of the most successful technology and has impacted heterogeneous domains. Deep learning has proven to be the most successful at computer vision tasks because of its convolution-based architecture. Since…

计算机视觉与模式识别 · 计算机科学 2022-01-11 Jash Dalvi , Sanket Bafna , Devansh Bagaria , Shyamal Virnodkar

Accurate analysis and classification of facial attributes are essential in various applications, from human-computer interaction to security systems. In this work, a novel approach to enhance facial classification and recognition tasks…

计算机视觉与模式识别 · 计算机科学 2025-06-12 Houting Li , Mengxuan Dong , Lok Ming Lui

The small amount of training data for many state-of-the-art deep learning-based Face Recognition (FR) systems causes a marked deterioration in their performance. Although a considerable amount of research has addressed this issue by…

计算机视觉与模式识别 · 计算机科学 2023-10-12 Soroush Hashemifar , Abdolreza Marefat , Javad Hassannataj Joloudari , Hamid Hassanpour

Dimensionality reduction is a classical technique widely used for data analysis. One foundational instantiation is Principal Component Analysis (PCA), which minimizes the average reconstruction error. In this paper, we introduce the…

离散数学 · 计算机科学 2020-06-17 Uthaipon Tantipongpipat , Samira Samadi , Mohit Singh , Jamie Morgenstern , Santosh Vempala

We propose NECA, a deep representation learning method for categorical data. Built upon the foundations of network embedding and deep unsupervised representation learning, NECA deeply embeds the intrinsic relationship among attribute values…

机器学习 · 计算机科学 2022-05-26 Xiaonan Gao , Sen Wu , Wenjun Zhou

Much recent research has uncovered and discussed serious concerns of bias in facial analysis technologies, finding performance disparities between groups of people based on perceived gender, skin type, lighting condition, etc. These audits…

In many modern computer application problems, the classification of image data plays an important role. Among many different supervised machine learning models, convolutional neural networks (CNNs) and linear discriminant analysis (LDA) as…

计算机视觉与模式识别 · 计算机科学 2024-11-01 Axel Klawonn , Martin Lanser , Janine Weber

We present an algorithm for L1-norm kernel PCA and provide a convergence analysis for it. While an optimal solution of L2-norm kernel PCA can be obtained through matrix decomposition, finding that of L1-norm kernel PCA is not trivial due to…

机器学习 · 统计学 2020-06-12 Cheolmin Kim , Diego Klabjan

There are a wide range of applications that involve multi-modal data, such as cross-modal retrieval, visual question-answering, and image captioning. Such applications are primarily dependent on aligned distributions of the different…