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A central challenge in precision cosmology with galaxy surveys is to extract non-Gaussian information from large-scale structure while controlling systematic uncertainties such as tracer bias. Conventional clustering statistics, such as the…

宇宙学与河外天体物理 · 物理学 2026-05-27 Zhujun Jiang , Xu Xiao , Fenfen Yin , Xiao-Dong Li , Le Zhang

Outlier detection refers to the identification of anomalous samples that deviate significantly from the distribution of normal data and has been extensively studied and used in a variety of practical tasks. However, most unsupervised…

机器学习 · 计算机科学 2025-01-07 Can Gao , Xiaofeng Tan , Jie Zhou , Weiping Ding , Witold Pedrycz

Random feature mapping (RFM) is a popular method for speeding up kernel methods at the cost of losing a little accuracy. We study kernel ridge regression with random feature mapping (RFM-KRR) and establish novel out-of-sample error upper…

机器学习 · 统计学 2019-09-26 Shusen Wang

Robustness against noisy imaging is crucial for practical image anomaly detection systems. This study introduces a Robust Anomaly Detection (RAD) dataset with free views, uneven illuminations, and blurry collections to systematically…

计算机视觉与模式识别 · 计算机科学 2024-07-23 Yuqi Cheng , Yunkang Cao , Rui Chen , Weiming Shen

Efficient and reliable operation of Concentrated Solar Power (CSP) plants is essential for meeting the growing demand for sustainable energy. However, high-temperature solar receivers face severe operational risks, such as freezing,…

机器学习 · 计算机科学 2025-08-07 Yorick Estievenart , Sukanya Patra , Souhaib Ben Taieb

Robust density estimation refers to the consistent estimation of the density function even when the data is contaminated by outliers. We find that existing forest density estimation at a certain point is inherently resistant to the outliers…

机器学习 · 统计学 2025-01-28 Hongwei Wen , Annika Betken , Tao Huang

We propose a robust variable selection procedure using a divergence based M-estimator combined with a penalty function. It produces robust estimates of the regression parameters and simultaneously selects the important explanatory…

统计方法学 · 统计学 2020-01-01 Abhijit Mandal , Samiran Ghosh

Clouds are a common phenomenon that distorts optical satellite imagery, which poses a challenge for remote sensing. However, in the literature cloudless analysis is often performed where cloudy images are excluded from machine learning…

计算机视觉与模式识别 · 计算机科学 2026-05-01 Marco Stricker , Masakazu Iwamura , Koichi Kise

Distance covariance is a popular measure of dependence between random variables. It has some robustness properties, but not all. We prove that the influence function of the usual distance covariance is bounded, but that its breakdown value…

统计方法学 · 统计学 2025-08-26 Sarah Leyder , Jakob Raymaekers , Peter J. Rousseeuw

In this article, we introduce a new variable selection technique through trimming for finite mixture of regression models. Compared to the traditional variable selection techniques, the new method is robust and not sensitive to outliers.…

统计方法学 · 统计学 2019-05-06 Sijia Xiang , Weixin Yao

As in other estimation scenarios, likelihood based estimation in the normal mixture set-up is highly non-robust against model misspecification and presence of outliers (apart from being an ill-posed optimization problem). A robust…

统计方法学 · 统计学 2023-12-20 Soumya Chakraborty , Ayanendranath Basu , Abhik Ghosh

Principal component analysis (PCA) is a classical feature extraction method, but it may be adversely affected by outliers, resulting in inaccurate learning of the projection matrix. This paper proposes a robust method to estimate both the…

机器学习 · 计算机科学 2024-08-23 Yingzhuo Deng , Ke Hu , Bo Li , Yao Zhang

Diffusion models have emerged as powerful learned priors for Bayesian inverse problems (BIPs). Diffusion-based solvers rely on a presumed likelihood for the observations in BIPs to guide the generation process. Likelihood misspecification…

机器学习 · 计算机科学 2026-05-12 Yiming Yang , Xiaoyuan Cheng , Yi He , Kaiyu Li , Wenxuan Yuan , Zhuo Sun

Precise radial velocity (RV) measurements are a crucial tool for exoplanet discovery and characterization. Today, the majority of these measurements are derived from Echelle spectra in the optical wavelength region using cross-correlation…

Contrastive Representation Learning (CRL) has achieved strong empirical success in multiple machine learning disciplines, yet its theoretical sample complexity remains poorly understood. Existing analyses usually assume that input tuples…

机器学习 · 统计学 2026-05-29 Nong Minh Hieu , Antoine Ledent

Large outliers break down linear and nonlinear regression models. Robust regression methods allow one to filter out the outliers when building a model. By replacing the traditional least squares criterion with the least trimmed squares…

最优化与控制 · 数学 2012-06-07 Gleb Beliakov , Andrei Kelarev , John Yearwood

Certifying neural network robustness against adversarial examples is challenging, as formal guarantees often require solving non-convex problems. Hence, incomplete verifiers are widely used because they scale efficiently and substantially…

机器学习 · 计算机科学 2026-02-05 Mohammadreza Maleki , Rushendra Sidibomma , Arman Adibi , Reza Samavi

In medical image processing, accurate diagnosis is of paramount importance. Leveraging machine learning techniques, particularly top-rank learning, shows significant promise by focusing on the most crucial instances. However, challenges…

计算机视觉与模式识别 · 计算机科学 2025-08-12 Xiaotong Ji , Ryoma Bise , Seiichi Uchida

Classical discriminant analysis (DA) is based on the mean and empirical covariance matrix of each class, both of which are sensitive to outliers in the data. In the past the focus was on casewise outliers, that is, datapoints that lie far…

统计方法学 · 统计学 2026-05-29 Fabio Centofanti , Can Hakan Dagidir , Mia Hubert , Peter J. Rousseeuw

The $\gamma$-divergence is well-known for having strong robustness against heavy contamination. By virtue of this property, many applications via the $\gamma$-divergence have been proposed. There are two types of \gd\ for regression…

统计理论 · 数学 2026-05-15 Takayuki Kawashima , Hironori Fujisawa