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This paper presents a novel method for reformulating non-differentiable collision avoidance constraints into smooth nonlinear constraints using strong duality of convex optimization. We focus on a controlled object whose goal is to avoid…

Optimization and Control · Mathematics 2018-06-12 Xiaojing Zhang , Alexander Liniger , Francesco Borrelli

Recently, there has been a growing interest in distributionally robust optimization (DRO) as a principled approach to data-driven decision making. In this paper, we consider a distributionally robust two-stage stochastic optimization…

Optimization and Control · Mathematics 2020-12-07 Zhe Zhang , Shabbir Ahmed , Guanghui Lan

We present differentiable point-based inverse rendering, DPIR, an analysis-by-synthesis method that processes images captured under diverse illuminations to estimate shape and spatially-varying BRDF. To this end, we adopt point-based…

Computer Vision and Pattern Recognition · Computer Science 2024-03-26 Hoon-Gyu Chung , Seokjun Choi , Seung-Hwan Baek

Continuous formulations of trajectory planning problems have two main benefits. First, constraints are guaranteed to be satisfied at all times. Secondly, dynamic obstacles can be naturally considered with time. This paper introduces a novel…

Robotics · Computer Science 2022-12-21 Changhao Wang , Ting Xu , Masayoshi Tomizuka

Variational Optimization forms a differentiable upper bound on an objective. We show that approaches such as Natural Evolution Strategies and Gaussian Perturbation, are special cases of Variational Optimization in which the expectations are…

Machine Learning · Statistics 2018-09-14 Thomas Bird , Julius Kunze , David Barber

Many robotics applications, from object manipulation to locomotion, require planning methods that are capable of handling the dynamics of contact. Trajectory optimization has been shown to be a viable approach that can be made to support…

Robotics · Computer Science 2019-09-09 Benoit Landry , Joseph Lorenzetti , Zachary Manchester , Marco Pavone

We present DUAL-LOCO, a communication-efficient algorithm for distributed statistical estimation. DUAL-LOCO assumes that the data is distributed according to the features rather than the samples. It requires only a single round of…

Machine Learning · Statistics 2016-08-04 Christina Heinze , Brian McWilliams , Nicolai Meinshausen

Deep Learning (DL) methods can reconstruct highly accelerated magnetic resonance imaging (MRI) scans, but they rely on application-specific large training datasets and often generalize poorly to out-of-distribution data. Self-supervised…

Image and Video Processing · Electrical Eng. & Systems 2026-04-24 Hongze Yu , Jeffrey A. Fessler , Yun Jiang

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

The high simulation cost has been a bottleneck of practical analog/mixed-signal design automation. Many learning-based algorithms require thousands of simulated data points, which is impractical for expensive to simulate circuits. We…

Machine Learning · Computer Science 2023-11-30 Ahmet F. Budak , Keren Zhu , David Z. Pan

We present an efficient, trivially parallelizable algorithm to compute offset surfaces of shapes discretized using a dexel data structure. Our algorithm is based on a two-stage sweeping procedure that is simple to implement and efficient,…

Graphics · Computer Science 2019-04-10 Zhen Chen , Daniele Panozzo , Jeremie Dumas

We present a differentiable volume rendering solution that provides differentiability of all continuous parameters of the volume rendering process. This differentiable renderer is used to steer the parameters towards a setting with an…

Graphics · Computer Science 2022-07-26 Sebastian Weiss , Rüdiger Westermann

We introduce a conceptually simple and efficient algorithm for seamless parametrization, a key element in constructing quad layouts and texture charts on surfaces. More specifically, we consider the construction of parametrizations with…

Graphics · Computer Science 2024-08-01 Ryan Capouellez , Denis Zorin

This paper presents a PDE-based planar parameterization framework with support for Truncated Hierarchical B-Splines (THB-splines). For this, we adopt the a posteriori refinement strategy of Dual Weighted Residual and present several…

Numerical Analysis · Mathematics 2021-11-23 Jochen Hinz , Michael Abdelmalik , Matthias Möller

Time is a fundamental factor during stroke treatments. A fast, automatic approach that segments the ischemic regions helps treatment decisions. In clinical use today, a set of color-coded parametric maps generated from computed tomography…

Image and Video Processing · Electrical Eng. & Systems 2023-08-22 Luca Tomasetti , Mahdieh Khanmohammadi , Kjersti Engan , Liv Jorunn Høllesli , Kathinka Dæhli Kurz

Bilevel optimization has been widely applied in many important machine learning applications such as hyperparameter optimization and meta-learning. Recently, several momentum-based algorithms have been proposed to solve bilevel optimization…

Machine Learning · Computer Science 2021-12-17 Junjie Yang , Kaiyi Ji , Yingbin Liang

Detecting slender, overlapping structures remains a challenge in computational microscopy. While recent coordinate-based approaches improve detection, they often produce less accurate splines than pixel-based methods. We introduce a…

Image and Video Processing · Electrical Eng. & Systems 2025-10-07 Frans Zdyb , Albert Alonso , Julius B. Kirkegaard

By generalizing the notion of linearization, a concept originally arising from microlocal analysis and symbolic calculus, to diffeological spaces, we make a first proposal setting for optimization problems in this category. We show how…

Optimization and Control · Mathematics 2026-04-03 Jean-Pierre Magnot

3D Gaussian Splatting has recently emerged as a highly promising technique for modeling of static 3D scenes. In contrast to Neural Radiance Fields, it utilizes efficient rasterization allowing for very fast rendering at high-quality.…

Computer Vision and Pattern Recognition · Computer Science 2024-12-02 Wieland Morgenstern , Florian Barthel , Anna Hilsmann , Peter Eisert

Visually sorted grid layouts provide an efficient method for organizing high-dimensional vectors in two-dimensional space by aligning spatial proximity with similarity relationships. This approach facilitates the effective sorting of…

Computer Vision and Pattern Recognition · Computer Science 2025-03-05 Kai Uwe Barthel , Florian Tim Barthel , Peter Eisert , Nico Hezel , Konstantin Schall
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