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Gaussian smoothing (GS) is a derivative-free optimization (DFO) algorithm that estimates the gradient of an objective using perturbations of the current parameters sampled from a standard normal distribution. We generalize it to sampling…

Machine Learning · Computer Science 2022-11-29 Katelyn Gao , Ozan Sener

It is widely known that spoofing is a major threat that adversely impacts the reliability and accuracy of GNSS applications. In this study, a crowdsourcing double differential pseudorange spatial (D2SP) random set is constructed and the…

Signal Processing · Electrical Eng. & Systems 2024-04-04 Xin Chen , Kai Wang

arXiv:2206.10812v1 [stat.ME] proposes a useful algorithm, named generalized Diversity Subsampling (g-DS) algorithm, to select a subsample following some target probability distribution from a finite data set and demonstrates its…

Methodology · Statistics 2023-09-06 Boyang Shang

Randomized smoothing is a general technique for computing sample-dependent robustness guarantees against adversarial attacks for deep classifiers. Prior works on randomized smoothing against L_1 adversarial attacks use additive smoothing…

Machine Learning · Computer Science 2021-06-14 Alexander Levine , Soheil Feizi

We propose discriminative neighborhood smoothing of generative anomaly scores for anomalous sound detection. While the discriminative approach is known to achieve better performance than generative approaches often, we have found that it…

Audio and Speech Processing · Electrical Eng. & Systems 2024-03-19 Takuya Fujimura , Keisuke Imoto , Tomoki Toda

We present an approach to deep estimation of discrete conditional probability distributions. Such models have several applications, including generative modeling of audio, image, and video data. Our approach combines two main techniques:…

Machine Learning · Statistics 2017-03-01 Wesley Tansey , Karl Pichotta , James G. Scott

We introduce a nonparametric spectral density estimator for continuous-time and continuous-space processes measured at fully irregular locations. Our estimator is constructed using a weighted nonuniform Fourier sum whose weights yield a…

Methodology · Statistics 2025-10-07 Christopher J. Geoga , Paul G. Beckman

Anomaly detection and localization in medical imaging remain critical challenges in healthcare. This paper introduces Spatial-MSMA (Multiscale Score Matching Analysis), a novel unsupervised method for anomaly localization in volumetric…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Ahsan Mahmood , Junier Oliva , Martin Styner

This paper develops a density deconvolution estimator that assumes the density of interest is a member of the generalized skew-symmetric (GSS) family of distributions. Estimation occurs in two parts: a skewing function, as well as location…

Methodology · Statistics 2017-06-07 Cornelis J. Potgieter

One pivot challenge for image anomaly (AD) detection is to learn discriminative information only from normal class training images. Most image reconstruction based AD methods rely on the discriminative capability of reconstruction error.…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Dongyun Lin , Yiqun Li , Shudong Xie , Tin Lay Nwe , Sheng Dong

Surface-based data is commonly observed in diverse practical applications spanning various fields. In this paper, we introduce a novel nonparametric method to discover the underlying signals from data distributed on complex surface-based…

Methodology · Statistics 2024-03-12 Zhiling Gu , Shan Yu , Guannan Wang , Ming-Jun Lai , Li Wang

Direction-of-arrival (DOA) estimation is widely applied in acoustic source localization. A multi-frequency model is suitable for characterizing the broadband structure in acoustic signals. In this paper, the continuous (gridless) DOA…

Signal Processing · Electrical Eng. & Systems 2023-03-22 Yifan Wu , Michael B. Wakin , Peter Gerstoft

This paper proposes a dual-supervised uncertainty inference (DS-UI) framework for improving Bayesian estimation-based uncertainty inference (UI) in deep neural network (DNN)-based image recognition. In the DS-UI, we combine the classifier…

Machine Learning · Computer Science 2021-11-24 Jiyang Xie , Zhanyu Ma , Jing-Hao Xue , Guoqiang Zhang , Jun Guo

This paper presents a novel density estimation method for anomaly detection using density matrices (a powerful mathematical formalism from quantum mechanics) and Fourier features. The method can be seen as an efficient approximation of…

Machine Learning · Computer Science 2022-10-27 Oscar Bustos-Brinez , Joseph Gallego-Mejia , Fabio A. González

We study the fundamental problem of the construction of optimal randomization in Differential Privacy. Depending on the clipping strategy or additional properties of the processing function, the corresponding sensitivity set theoretically…

Cryptography and Security · Computer Science 2023-09-29 Hanshen Xiao , Jun Wan , Srinivas Devadas

Unsupervised anomaly detection is a challenging computer vision task, in which 2D-based anomaly detection methods have been extensively studied. However, multimodal anomaly detection based on RGB images and 3D point clouds requires further…

Computer Vision and Pattern Recognition · Computer Science 2024-09-10 Zhongbin Sun , Xiaolong Li , Yiran Li , Yue Ma

Unsupervised anomaly detection in hyperspectral images (HSI), aiming to detect unknown targets from backgrounds, is challenging for earth surface monitoring. However, current studies are hindered by steep computational costs due to the…

Computer Vision and Pattern Recognition · Computer Science 2025-12-29 Guanchun Wang , Xiangrong Zhang , Yifei Zhang , Zelin Peng , Tianyang Zhang , Xu Tang , Licheng Jiao

Flexible and accurate noise characterization is crucial for the precise estimation of gravitational-wave parameters. We introduce a Bayesian method for estimating the power spectral density (PSD) of long, stationary time series, explicitly…

General Relativity and Quantum Cosmology · Physics 2026-03-26 Nazeela Aimen , Patricio Maturana-Russel , Avi Vajpeyi , Nelson Christensen , Renate Meyer

The direct sampling method (DSM) has been introduced for non-iterative imaging of small inhomogeneities and is known to be fast, robust, and effective for inverse scattering problems. However, to the best of our knowledge, a full analysis…

Numerical Analysis · Mathematics 2018-09-26 Sangwoo Kang , Marc Lambert , Won-Kwang Park

2D Gaussian Splatting (2DGS) has recently emerged as a promising method for novel view synthesis and surface reconstruction, offering better view-consistency and geometric accuracy than volumetric 3DGS. However, 2DGS suffers from severe…

Graphics · Computer Science 2025-11-04 Mae Younes , Adnane Boukhayma