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The projection onto the epigraph or a level set of a closed proper convex function can be achieved by finding a root of a scalar equation that involves the proximal operator as a function of the proximal parameter. This paper develops the…

Optimization and Control · Mathematics 2021-02-16 Michael P. Friedlander , Ariel Goodwin , Tim Hoheisel

In this paper we propose a novel variable selection method for two-view settings, or for vector-valued supervised learning problems. Our framework is able to handle extremely large scale selection tasks, where number of data samples could…

Machine Learning · Computer Science 2023-07-06 Sandor Szedmak , Riikka Huusari , Tat Hong Duong Le , Juho Rousu

Application telemetry refers to measurements taken from software systems to assess their performance, availability, correctness, efficiency, and other aspects useful to operators, as well as to troubleshoot them when they behave abnormally.…

Software Engineering · Computer Science 2022-06-24 Yuri Shkuro , Benjamin Renard , Atul Singh

Computing mountain passes is a standard way of finding critical points. We describe a numerical method for finding critical points that is convergent in the nonsmooth case and locally superlinearly convergent in the smooth finite…

Numerical Analysis · Mathematics 2011-06-14 Adrian S. Lewis , C. H. Jeffrey Pang

In this paper, we study imitation learning under the challenging setting of: (1) only a single demonstration, (2) no further data collection, and (3) no prior task or object knowledge. We show how, with these constraints, imitation learning…

Robotics · Computer Science 2023-10-19 Pietro Vitiello , Kamil Dreczkowski , Edward Johns

This work proposes a process for efficiently training a point-wise object detector that enables localizing objects and computing their 6D poses in cluttered and occluded scenes. Accurate pose estimation is typically a requirement for robust…

Computer Vision and Pattern Recognition · Computer Science 2019-02-22 Jean-Philippe Mercier , Chaitanya Mitash , Philippe Giguère , Abdeslam Boularias

We propose a level-set approach to characterize the region occupied by the solid in Stefan problems with and without surface tension, based on their recent probabilistic reformulation. The level-set function is parameterized by a…

Numerical Analysis · Mathematics 2023-06-21 Mykhaylo Shkolnikov , H. Mete Soner , Valentin Tissot-Daguette

This paper addresses the challenge of probabilistic parameter estimation given measurement uncertainty in real-time. We provide a general formulation and apply this to pose estimation for an autonomous visual landing system. We present…

We propose simple schemes that can perfectly identify projective measurement apparatus secretly chosen from a finite set. Entanglements are used in these schemes both to make possible the perfect identification and to improve the efficiency…

Quantum Physics · Physics 2007-05-23 Zhengfeng Ji , Yuan Feng , Runyao Duan , Mingsheng Ying

This paper focuses on random projection operators when the subspace of projection is estimated. We derive non-asymptotic upper bounds on the error between the projection onto the estimated subspace and the projection onto the underlying…

Statistics Theory · Mathematics 2026-03-31 Luca Castelli

We extend recent computer-assisted design and analysis techniques for first-order optimization over structured functions--known as performance estimation--to apply to structured sets. We prove "interpolation theorems" for smooth and…

Optimization and Control · Mathematics 2024-11-20 Alan Luner , Benjamin Grimmer

Vision-based target motion estimation is a fundamental problem in many robotic tasks. The existing methods have the limitation of low observability and, hence, face challenges in tracking highly maneuverable targets. Motivated by the aerial…

Robotics · Computer Science 2025-02-13 Canlun Zheng , Hanqing Guo , Shiyu Zhao

This work is devoted to the problem of distributed target tracking when a team of robots detect the target through a variable perception-latency mechanism. A reference for the robots to track is constructed in terms of a desired formation…

Systems and Control · Electrical Eng. & Systems 2024-01-25 Rodrigo Aldana-López , Rosario Aragüés , Carlos Sagüés

Semantic localization (SeLo) refers to the task of obtaining the most relevant locations in large-scale remote sensing (RS) images using semantic information such as text. As an emerging task based on cross-modal retrieval, SeLo achieves…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Zhiqiang Yuan , Wenkai Zhang , Chongyang Li , Zhaoying Pan , Yongqiang Mao , Jialiang Chen , Shouke Li , Hongqi Wang , Xian Sun

Image segmentation is still an open problem especially when intensities of the interested objects are overlapped due to the presence of intensity inhomogeneity (also known as bias field). To segment images with intensity inhomogeneities, a…

Computer Vision and Pattern Recognition · Computer Science 2018-03-09 Chaolu Feng

Alternating projection method has been used in a wide range of engineering applications since it is a gradient-free method (without requiring tuning the step size) and usually has fast speed of convergence. In this paper, we formalize two…

Optimization and Control · Mathematics 2019-07-23 Zhihui Zhu , Xiao Li

A dimension reduction method based on the "Nonlinear Level set Learning" (NLL) approach is presented for the pointwise prediction of functions which have been sparsely sampled. Leveraging geometric information provided by the Implicit…

Machine Learning · Statistics 2021-08-10 Anthony Gruber , Max Gunzburger , Lili Ju , Yuankai Teng , Zhu Wang

In this paper we tackle the problem of recovering the phase of complex linear measurements when only magnitude information is available and we control the input. We are motivated by the recent development of dedicated optics-based hardware…

Machine Learning · Computer Science 2020-02-17 Sidharth Gupta , Rémi Gribonval , Laurent Daudet , Ivan Dokmanić

The ultimate goal of many image-based modeling systems is to render photo-realistic novel views of a scene without visible artifacts. Existing evaluation metrics and benchmarks focus mainly on the geometric accuracy of the reconstructed…

Computer Vision and Pattern Recognition · Computer Science 2016-01-27 Michael Waechter , Mate Beljan , Simon Fuhrmann , Nils Moehrle , Johannes Kopf , Michael Goesele

Differentiable rendering aims to compute the derivative of the image rendering function with respect to the rendering parameters. This paper presents a novel algorithm for 6-DoF pose estimation through gradient-based optimization using a…

Computer Vision and Pattern Recognition · Computer Science 2022-12-27 Ramchander Rao Bhaskara , Roshan Thomas Eapen , Manoranjan Majji