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We investigate sources of error in acceleration statistics from Lagrangian Particle Tracking (LPT) data and demonstrate techniques to eliminate or minimise bias errors introduced during processing. Numerical simulations of particle tracking…

Fluid Dynamics · Physics 2018-11-14 John M. Lawson , Eberhard Bodenschatz , Cristian C. Lalescu , Michael Wilczek

To improve the off-sample generalization of classical procedures minimizing the empirical risk under potentially heavy-tailed data, new robust learning algorithms have been proposed in recent years, with generalized median-of-means…

Machine Learning · Statistics 2018-10-16 Matthew J. Holland

In this paper, we address the problem of denoising images degraded by Poisson noise. We propose a new patch-based approach based on best linear prediction to estimate the underlying clean image. A simplified prediction formula is derived…

Computer Vision and Pattern Recognition · Computer Science 2018-03-02 Milad Niknejad , Mario A. T. Figueiredo

This paper presents Planar Gaussian Splatting (PGS), a novel neural rendering approach to learn the 3D geometry and parse the 3D planes of a scene, directly from multiple RGB images. The PGS leverages Gaussian primitives to model the scene…

Computer Vision and Pattern Recognition · Computer Science 2024-12-04 Farhad G. Zanjani , Hong Cai , Hanno Ackermann , Leila Mirvakhabova , Fatih Porikli

Micro-Doppler analysis has become increasingly popular in recent years owning to the ability of the technique to enhance classification strategies. Applications include recognising everyday human activities, distinguishing drone from birds,…

Signal Processing · Electrical Eng. & Systems 2021-02-16 Chong Tang , Wenda Li , Shelly Vishwakarma , Karl Woodbridge , Simon Julier , Kevin Chetty

We propose a new algorithm for minimizing regularized empirical loss: Stochastic Dual Newton Ascent (SDNA). Our method is dual in nature: in each iteration we update a random subset of the dual variables. However, unlike existing methods…

Machine Learning · Computer Science 2015-02-10 Zheng Qu , Peter Richtárik , Martin Takáč , Olivier Fercoq

In this paper, we consider the conjugate gradient method for solving the problem of minimizing a quadratic function with additive noise in the gradient. Three concepts of noise were considered: antagonistic noise in the linear term,…

Optimization and Control · Mathematics 2020-05-14 Anton Ryabtsev

Acquired 3D point cloud data, whether from active sensors directly or from stereo-matching algorithms indirectly, typically contain non-negligible noise. To address the point cloud denoising problem, we propose a fast graph-based local…

Signal Processing · Electrical Eng. & Systems 2018-05-01 Chinthaka Dinesh , Gene Cheung , Ivan V. Bajic , Cheng Yang

The mirror descent algorithm is known to be effective in situations where it is beneficial to adapt the mirror map to the underlying geometry of the optimization model. However, the effect of mirror maps on the geometry of distributed…

Optimization and Control · Mathematics 2024-03-13 Anastasia Borovykh , Nikolas Kantas , Panos Parpas , Grigorios A. Pavliotis

Learned denoisers play a fundamental role in various signal generation (e.g., diffusion models) and reconstruction (e.g., compressed sensing) architectures, whose success derives from their ability to leverage low-dimensional structure in…

Machine Learning · Computer Science 2025-08-14 Shiyu Wang , Mariam Avagyan , Yihan Shen , Arnaud Lamy , Tingran Wang , Szabolcs Márka , Zsuzsa Márka , John Wright

Constrained motion planning is a common but challenging problem in robotic manipulation. In recent years, data-driven constrained motion planning algorithms have shown impressive planning speed and success rate. Among them, the latent…

Robotics · Computer Science 2026-01-01 Jiawei Zhang , Chengchao Bai , Wei Pan , Tianhang Liu , Jifeng Guo

We study high-probability (HP) convergence guarantees in decentralized stochastic optimization, where multiple agents collaborate to jointly train a model over a network. Existing HP results in decentralized settings almost exclusively…

Machine Learning · Computer Science 2026-05-04 Aleksandar Armacki , Haoyuan Cai , Ali H. Sayed

Weak gravitational lensing is a powerful probe of the large-scale cosmic matter distribution. Wide-field galaxy surveys allow us to generate the so-called weak lensing maps, but actual observations suffer from noise due to imperfect…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-21 Masato Shirasaki , Naoki Yoshida , Shiro Ikeda

Recent advancements in lidar technology have led to improved point cloud resolution as well as the generation of 360 degrees, low-resolution images by encoding depth, reflectivity, or near-infrared light within each pixel. These images…

Robotics · Computer Science 2025-05-06 Sier Ha , Honghao Du , Xianjia Yu , Tomi Westerlund

A problem of image denoising when images are corrupted by a non-stationary noise is considered in this paper. Since in practice no a priori information on noise is available, noise statistics should be pre-estimated for image denoising. In…

Image and Video Processing · Electrical Eng. & Systems 2021-09-27 Sheyda Ghanbaralizadeh Bahnemiri , Mykola Ponomarenko , Karen Egiazarian

Although the standard formulations of prediction problems involve fully-observed and noiseless data drawn in an i.i.d. manner, many applications involve noisy and/or missing data, possibly involving dependence, as well. We study these…

Statistics Theory · Mathematics 2015-03-19 Po-Ling Loh , Martin J. Wainwright

The ambiguous appearance, tiny scale, and fine-grained classes of objects in remote sensing imagery inevitably lead to the noisy annotations in category labels of detection dataset. However, the effects and treatments of the label noises…

Computer Vision and Pattern Recognition · Computer Science 2024-05-16 Guozhang Liu , Ting Liu , Mengke Yuan , Tao Pang , Guangxing Yang , Hao Fu , Tao Wang , Tongkui Liao

LiDAR (Light Detection and Ranging) has become an essential part of the remote sensing toolbox used for biosphere monitoring. In particular, LiDAR provides the opportunity to map forest leaf area with unprecedented accuracy, while leaf area…

Computer Vision and Pattern Recognition · Computer Science 2024-01-11 Yuchen Bai , Jean-Baptiste Durand , Grégoire Vincent , Florence Forbes

Based on the DUSTGRAIN-pathfinder suite of simulations, we investigate observational degeneracies between nine models of modified gravity and massive neutrinos. Three types of machine learning techniques are tested for their ability to…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-17 Julian Merten , Carlo Giocoli , Marco Baldi , Massimo Meneghetti , Austin Peel , Florian Lalande , Jean-Luc Starck , Valeria Pettorino

Local optimization presents a promising approach to expensive, high-dimensional black-box optimization by sidestepping the need to globally explore the search space. For objective functions whose gradient cannot be evaluated directly,…

Machine Learning · Computer Science 2023-01-18 Quan Nguyen , Kaiwen Wu , Jacob R. Gardner , Roman Garnett