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Related papers: Differentiable Visual Computing

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Although Monte Carlo path tracing is a simple and effective algorithm to synthesize photo-realistic images, it is often very slow to converge to noise-free results when involving complex global illumination. One of the most successful…

This work provides a comprehensive derivation of the parameter gradients for GATv2 [4], a widely used implementation of Graph Attention Networks (GATs). GATs have proven to be powerful frameworks for processing graph-structured data and,…

Machine Learning · Computer Science 2023-04-24 Marion Neumeier , Andreas Tollkühn , Sebastian Dorn , Michael Botsch , Wolfgang Utschick

Differentiable rendering is a technique used in an important emerging class of visual computing applications that involves representing a 3D scene as a model that is trained from 2D images using gradient descent. Recent works (e.g. 3D…

Computer Vision and Pattern Recognition · Computer Science 2024-01-12 Sankeerth Durvasula , Adrian Zhao , Fan Chen , Ruofan Liang , Pawan Kumar Sanjaya , Nandita Vijaykumar

Recently, multiple formulations of vision problems as probabilistic inversions of generative models based on computer graphics have been proposed. However, applications to 3D perception from natural images have focused on low-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2014-07-08 Tejas D. Kulkarni , Vikash K. Mansinghka , Pushmeet Kohli , Joshua B. Tenenbaum

Augmented reality applications have rapidly spread across online platforms, allowing consumers to virtually try-on a variety of products, such as makeup, hair dying, or shoes. However, parametrizing a renderer to synthesize realistic images…

Computer Vision and Pattern Recognition · Computer Science 2022-05-16 Robin Kips , Ruowei Jiang , Sileye Ba , Brendan Duke , Matthieu Perrot , Pietro Gori , Isabelle Bloch

We view a conic optimization problem that has a unique solution as a map from its data to its solution. If sufficient regularity conditions hold at a solution point, namely that the implicit function theorem applies to the normalized…

Optimization and Control · Mathematics 2019-03-28 Enzo Busseti

The ability to differentiate through optimization problems has unlocked numerous applications, from optimization-based layers in machine learning models to complex design problems formulated as bilevel programs. It has been shown that…

Optimization and Control · Mathematics 2024-03-05 Lucas Fuentes Valenzuela , Robin Brown , Marco Pavone

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

Hair appearance is a complex phenomenon due to hair geometry and how the light bounces on different hair fibers. For this reason, reproducing a specific hair color in a rendering environment is a challenging task that requires manual work…

Graphics · Computer Science 2022-02-09 Robin Kips , Panagiotis-Alexandros Bokaris , Matthieu Perrot , Pietro Gori , Isabelle Bloch

We propose a differentiable sphere tracing algorithm to bridge the gap between inverse graphics methods and the recently proposed deep learning based implicit signed distance function. Due to the nature of the implicit function, the…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Shaohui Liu , Yinda Zhang , Songyou Peng , Boxin Shi , Marc Pollefeys , Zhaopeng Cui

Recent advances in differentiable rendering, which allow calculating the gradients of 2D pixel values with respect to 3D object models, can be applied to estimation of the model parameters by gradient-based optimization with only 2D…

Graphics · Computer Science 2022-12-07 Yiping Xie , Nils Bore , John Folkesson

Automatic differentiation is everywhere, but there exists only minimal documentation of how it works in complex arithmetic beyond stating "derivatives in $\mathbb{C}^d$" $\cong$ "derivatives in $\mathbb{R}^{2d}$" and, at best, shallow…

Mathematical Software · Computer Science 2024-12-11 Nicholas Krämer

In this paper, we propose a fast deep learning method for object saliency detection using convolutional neural networks. In our approach, we use a gradient descent method to iteratively modify the input images based on the pixel-wise…

Computer Vision and Pattern Recognition · Computer Science 2016-02-02 Hengyue Pan , Hui Jiang

Optimizing shapes and topology of physical devices is crucial for both scientific and technological advancements, given its wide-ranging implications across numerous industries and research areas. Innovations in shape and topology…

Computational Physics · Physics 2023-10-02 Alexander Luce , Rasoul Alaee , Fabian Knorr , Florian Marquardt

Derivative-based algorithms are ubiquitous in statistics, machine learning, and applied mathematics. Automatic differentiation offers an algorithmic way to efficiently evaluate these derivatives from computer programs that execute relevant…

Computation · Statistics 2022-03-01 Charles C. Margossian , Michael Betancourt

Motivated by performance optimization of large-scale graph processing systems that distribute the graph across multiple machines, we consider the balanced graph partitioning problem. Compared to the previous work, we study the…

Data Structures and Algorithms · Computer Science 2019-02-19 Dmitrii Avdiukhin , Sergey Pupyrev , Grigory Yaroslavtsev

Modeling physical phenomena like heat transport and diffusion is crucially dependent on the numerical solution of partial differential equations (PDEs). A PDE solver finds the solution given coefficients and a boundary condition, whereas an…

Graphics · Computer Science 2022-08-04 Ekrem Fatih Yılmazer , Delio Vicini , Wenzel Jakob

As the availability of imagery data continues to swell, so do the demands on transmission, storage and processing power. Processing requirements to handle this plethora of data is quickly outpacing the utility of conventional processing…

Computer Vision and Pattern Recognition · Computer Science 2022-11-01 Artyom M. Grigoryan , Sos S. Agaian , Karen Panetta

Fast, reliable shape reconstruction is an essential ingredient in many computer vision applications. Neural Radiance Fields demonstrated that photorealistic novel view synthesis is within reach, but was gated by performance requirements for…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Leonid Keselman , Martial Hebert

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