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Estimating the trace of the inverse of a large matrix is an important problem in lattice quantum chromodynamics. A multilevel Monte Carlo method is proposed for this problem that uses different degree polynomials for the levels. The…

High Energy Physics - Lattice · Physics 2023-06-19 Paul Lashomb , Ronald B. Morgan , Travis Whyte , Walter Wilcox

We propose an implicit neural formulation of optimal transport that eliminates adversarial min--max optimization and multi-network architectures commonly used in existing approaches. Our key idea is to parameterize a single potential in the…

Optimization and Control · Mathematics 2026-05-12 Yesom Park , Eric Gelphman , Stanley Osher , Samy Wu Fung

Gradient descent and its variants are widely used in machine learning. However, oracle access of gradient may not be available in many applications, limiting the direct use of gradient descent. This paper proposes a method of estimating…

Optimization and Control · Mathematics 2019-10-07 Qinbo Bai , Mridul Agarwal , Vaneet Aggarwal

Beyond novel view synthesis, Neural Radiance Fields are useful for applications that interact with the real world. In this paper, we use them as an implicit map of a given scene and propose a camera relocalization algorithm tailored for…

Computer Vision and Pattern Recognition · Computer Science 2023-08-23 Arthur Moreau , Nathan Piasco , Moussab Bennehar , Dzmitry Tsishkou , Bogdan Stanciulescu , Arnaud de La Fortelle

We introduce a Monte Carlo method for computing derivatives of the solution to a partial differential equation (PDE) with respect to problem parameters (such as domain geometry or boundary conditions). Derivatives can be evaluated at…

Graphics · Computer Science 2024-09-19 Bailey Miller , Rohan Sawhney , Keenan Crane , Ioannis Gkioulekas

We introduce an efficient Two-Level Monte Carlo (subset of Multi-Level Monte Carlo, MLMC) estimator for real-time rendering of scenes with global illumination. Using MLMC we split the shading integral into two parts: the radiance cache…

Graphics · Computer Science 2024-12-09 Mikhail Dereviannykh , Dmitrii Klepikov , Johannes Hanika , Carsten Dachsbacher

Given the limitations of backpropagation, perturbation-based gradient computation methods have recently gained focus for learning with only forward passes, also referred to as queries. Conventional forward learning consumes enormous queries…

Machine Learning · Computer Science 2025-03-11 Tao Ren , Zishi Zhang , Jinyang Jiang , Guanghao Li , Zeliang Zhang , Mingqian Feng , Yijie Peng

In this paper, we propose a random gradient-free method for optimization in infinite dimensional Hilbert spaces, applicable to functional optimization in diverse settings. Though such problems are often solved through finite-dimensional…

Optimization and Control · Mathematics 2025-12-25 Caio Lins Peixoto , Daniel Csillag , Bernardo F. P. da Costa , Yuri F. Saporito

Estimating hyperparameters has been a long-standing problem in machine learning. We consider the case where the task at hand is modeled as the solution to an optimization problem. Here the exact gradient with respect to the hyperparameters…

Optimization and Control · Mathematics 2023-11-16 Matthias J. Ehrhardt , Lindon Roberts

Recent works have developed new projection-free first-order methods based on utilizing linesearches and normal vector computations to maintain feasibility. These oracles can be cheaper than orthogonal projection or linear optimization…

Optimization and Control · Mathematics 2024-05-01 Thabo Samakhoana , Benjamin Grimmer

We present a modular differentiable renderer design that yields performance superior to previous methods by leveraging existing, highly optimized hardware graphics pipelines. Our design supports all crucial operations in a modern graphics…

Graphics · Computer Science 2020-11-09 Samuli Laine , Janne Hellsten , Tero Karras , Yeongho Seol , Jaakko Lehtinen , Timo Aila

3D Gaussian Splatting (3DGS) enables real-time, photorealistic novel view synthesis, making it a highly attractive representation for model-based video tracking. However, leveraging the differentiability of the 3DGS renderer "in the wild"…

Computer Vision and Pattern Recognition · Computer Science 2026-03-26 Avigail Cohen Rimon , Amir Mann , Mirela Ben Chen , Or Litany

Computational color constancy is a preprocessing step used in many camera systems. The main aim is to discount the effect of the illumination on the colors in the scene and restore the original colors of the objects. Recently, several deep…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Firas Laakom , Jenni Raitoharju , Alexandros Iosifidis , Jarno Nikkanen , Moncef Gabbouj

Sequential convex programming has been established as an effective framework for solving nonconvex trajectory planning problems. However, its performance is highly sensitive to problem parameters, including trajectory variables, algorithmic…

Optimization and Control · Mathematics 2025-12-09 Ziqi Xu , Lin Cheng , Di Wu , Shengping Gong

The design of the proposal distributions, and most notably the kernel parameters, are crucial for the performance of Markov chain Monte Carlo (MCMC) rendering. A poor selection of parameters can increase the correlation of the Markov chain…

In this paper, we address a new problem of reversing the effect of an image filter, which can be linear or nonlinear. The assumption is that the algorithm of the filter is unknown and the filter is available as a black box. We formulate…

Image and Video Processing · Electrical Eng. & Systems 2021-12-15 Fernando J. Galetto , Guang Deng

Rank-based metrics are some of the most widely used criteria for performance evaluation of computer vision models. Despite years of effort, direct optimization for these metrics remains a challenge due to their non-differentiable and…

Machine Learning · Computer Science 2024-12-16 Michal Rolínek , Vít Musil , Anselm Paulus , Marin Vlastelica , Claudio Michaelis , Georg Martius

Inverse rendering, the process of inferring scene properties from images, is a challenging inverse problem. The task is ill-posed, as many different scene configurations can give rise to the same image. Most existing solutions incorporate…

Computer Vision and Pattern Recognition · Computer Science 2023-10-03 Linjie Lyu , Ayush Tewari , Marc Habermann , Shunsuke Saito , Michael Zollhöfer , Thomas Leimkühler , Christian Theobalt

Despite significant advances in algorithms and hardware, global illumination continues to be a challenge in the real-time domain. Time constraints often force developers to either compromise on the quality of global illumination or…

Graphics · Computer Science 2024-06-13 Alexandr Kuznetsov , Stavros Diolatzis , Anton Sochenov , Anton Kaplanyan

Differentiable simulation is a promising toolkit for fast gradient-based policy optimization and system identification. However, existing approaches to differentiable simulation have largely tackled scenarios where obtaining smooth…

Machine Learning · Statistics 2022-07-04 Rika Antonova , Jingyun Yang , Krishna Murthy Jatavallabhula , Jeannette Bohg
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