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We assume a nonparametric regression model where the signal is given by the sum of a piecewise constant function and a smooth function. To detect the change-points and estimate the regression functions, we propose PCpluS, a combination of…

统计方法学 · 统计学 2025-03-11 Florian Pein , Rajen D. Shah

Convolutional Neural Networks (CNNs) have shown promising results in efficiency and accuracy in image classification. However, their efficacy often relies on large, labeled datasets, posing challenges for applications with limited data…

机器学习 · 计算机科学 2026-01-08 A. M. A. S. D. Alagiyawanna , Asoka Karunananda , A. Mahasinghe , Thushari Silva

Pre-training general-purpose visual features with convolutional neural networks without relying on annotations is a challenging and important task. Most recent efforts in unsupervised feature learning have focused on either small or highly…

计算机视觉与模式识别 · 计算机科学 2019-08-14 Mathilde Caron , Piotr Bojanowski , Julien Mairal , Armand Joulin

Deep Convolutional Neural Networks (CNNs) are widely employed in modern computer vision algorithms, where the input image is convolved iteratively by many kernels to extract the knowledge behind it. However, with the depth of convolutional…

计算机视觉与模式识别 · 计算机科学 2018-04-11 Chih-Ting Liu , Yi-Heng Wu , Yu-Sheng Lin , Shao-Yi Chien

A well-trained Convolutional Neural Network can easily be pruned without significant loss of performance. This is because of unnecessary overlap in the features captured by the network's filters. Innovations in network architecture such as…

计算机视觉与模式识别 · 计算机科学 2019-02-26 Aaditya Prakash , James Storer , Dinei Florencio , Cha Zhang

Functional data analysis almost always involves smoothing discrete observations into curves, because they are never observed in continuous time and rarely without error. Although smoothing parameters affect the subsequent inference,…

统计方法学 · 统计学 2025-04-07 Sunny G. W. Wang , Valentin Patilea , Nicolas Klutchnikoff

To accelerate kernel methods, we propose a near input sparsity time algorithm for sampling the high-dimensional feature space implicitly defined by a kernel transformation. Our main contribution is an importance sampling method for…

数据结构与算法 · 计算机科学 2020-07-15 David P. Woodruff , Amir Zandieh

Features play a crucial role in computer vision. Initially designed to detect salient elements by means of handcrafted algorithms, features are now often learned by different layers in Convolutional Neural Networks (CNNs). This paper…

计算机视觉与模式识别 · 计算机科学 2021-11-18 Loris Nanni , Stefano Ghidoni , Sheryl Brahnam

Unsupervised feature selection (UFS) is widely applied in machine learning and pattern recognition. However, most of the existing methods only consider a single sparsity, which makes it difficult to select valuable and discriminative…

最优化与控制 · 数学 2025-01-03 Xianchao Xiu , Anning Yang , Chenyi Huang , Xinrong Li , Wanquan Liu

High-dimensional measurements are often correlated which motivates their approximation by factor models. This holds also true when features are engineered via low-dimensional interactions or kernel tricks. This often results in over…

应用统计 · 统计学 2025-09-03 Xiaonan Zhu , Bingyan Wang , Jianqing Fan

Fine-grained image recognition is a longstanding computer vision challenge that focuses on differentiating objects belonging to multiple subordinate categories within the same meta-category. Since images belonging to the same meta-category…

计算机视觉与模式识别 · 计算机科学 2023-09-04 Yifan Pu , Yizeng Han , Yulin Wang , Junlan Feng , Chao Deng , Gao Huang

Gaussian Process Regression (GPR) is widely used in statistics and machine learning for prediction tasks requiring uncertainty measures. Its efficacy depends on the appropriate specification of the mean function, covariance kernel function,…

机器学习 · 计算机科学 2024-09-20 Shifan Zhao , Jiaying Lu , Ji Yang , Edmond Chow , Yuanzhe Xi

Reduced-rank regression estimates regression coefficients by imposing a low-rank constraint on the matrix of regression coefficients, thereby accounting for correlations among response variables. To further improve predictive accuracy and…

统计方法学 · 统计学 2026-01-14 Kanji Goto , Shintaro Yuki , Kensuke Tanioka , Hiroshi Yadohisa

To deal with high-dimensional unlabeled datasets in many areas, principal component analysis (PCA) has become a rising technique for unsupervised feature selection (UFS). However, most existing PCA-based methods only consider the structure…

最优化与控制 · 数学 2025-08-15 Xianchao Xiu , Chenyi Huang , Pan Shang , Wanquan Liu

Regression via classification (RvC) is a common method used for regression problems in deep learning, where the target variable belongs to a set of continuous values. By discretizing the target into a set of non-overlapping classes, it has…

机器学习 · 计算机科学 2022-04-11 Axel Berg , Magnus Oskarsson , Mark O'Connor

With the significant advancement in quantum computation in the past couple of decades, the exploration of machine-learning subroutines using quantum strategies has become increasingly popular. Gaussian process regression is a widely used…

量子物理 · 物理学 2018-03-07 Siddhartha Das , George Siopsis , Christian Weedbrook

Improvement of statistical learning models in order to increase efficiency in solving classification or regression problems is still a goal pursued by the scientific community. In this way, the support vector machine model is one of the…

机器学习 · 统计学 2019-11-22 Anderson Ara , Mateus Maia , Samuel Macêdo , Francisco Louzada

Linear regression is arguably the most fundamental statistical model; however, the validity of its use in randomized clinical trials, despite being common practice, has never been crystal clear, particularly when stratified or…

统计方法学 · 统计学 2023-02-14 Wei Ma , Fuyi Tu , Hanzhong Liu

The problem of best subset selection in linear regression is considered with the aim to find a fixed size subset of features that best fits the response. This is particularly challenging when the total available number of features is very…

统计方法学 · 统计学 2023-11-28 Sarat Moka , Benoit Liquet , Houying Zhu , Samuel Muller

In this paper, we propose and study a Nystr\"om based approach to efficient large scale kernel principal component analysis (PCA). The latter is a natural nonlinear extension of classical PCA based on considering a nonlinear feature map or…

机器学习 · 统计学 2019-07-12 Nicholas Sterge , Bharath Sriperumbudur , Lorenzo Rosasco , Alessandro Rudi