Concept

Notation for differentiation

Publications associées (32)

WILD SOLUTIONS TO SCALAR EULER-LAGRANGE EQUATIONS

. We study very weak solutions to scalar Euler-Lagrange equations associated with quadratic convex functionals. We investigate whether W1,1 solutions are necessarily W 1,2 Nash and Schauder applicable. We answer this question positively for a suitable clas ...

Amer Mathematical Soc2024

Resistances to change in urban travel behaviors

Marc-Edouard Baptiste Grégoire Schultheiss

The social discourse surrounding the climate emergency progressively infuses the society, transforming into both micro- and macro-social injunctions to change. Yet, society - grounded in a territorial, social, and cultural contingency - appears to resist t ...

EPFL2023

Leibniz en Créateur. Un regard matériel sur sa machine à calculer

Simon François Dumas Primbault

Between 1671 and 1716, the German mathematician Gottfried Wilhelm Leibniz attempted to design a reckoning machine. Working closely with the Parisian clockmaker Monsieur Ollivier, Leibniz eventually failed at producing a working prototype. After the redisco ...

2022

Efficient and Accurate Physically-Based Differentiable Rendering

Delio Aleardo Vicini

Physically-based rendering algorithms generate photorealistic images of virtual scenes. By simulating light paths in a scene, complex physical effects such as shadows, reflections and volumetric scattering can be reproduced. Over the last decade, physicall ...

EPFL2022

Monte Carlo Estimators for Differential Light Transport

Wenzel Alban Jakob, Tizian Lucien Zeltner, Sébastien Nicolas Speierer

Physically based differentiable rendering algorithms propagate derivatives through realistic light transport simulations and have applications in diverse areas including inverse reconstruction and machine learning. Recent progress has led to unbiased metho ...

ASSOC COMPUTING MACHINERY2021

Eigendecomposition-Free Training of Deep Networks for Linear Least-Square Problems

Pascal Fua, Mathieu Salzmann, Zheng Dang, Kwang Moo Yi, Fei Wang, Yinlin Hu

Many classical Computer Vision problems, such as essential matrix computation and pose estimation from 3D to 2D correspondences, can be tackled by solving a linear least-square problem, which can be done by finding the eigenvector corresponding to the smal ...

IEEE COMPUTER SOC2021

“Transplanting the human mind into inanimate matter”: Leibniz’s Reckoning Machine Seen from a Media Perspective

Simon François Dumas Primbault

Between 1672 and 1694, the German mathematician Gottfried Wilhelm Leibniz (1646-1716) attempted to design a reckoning machine that would be able to perform the four basic arithmetic operations on multiple-digit numbers. Working closely with the French cloc ...

2020

Computational Analysis of the Mutual Constraints between Single‐Cell Growth and Division Control Models

John McKinney, Neeraj Dhar, Ambroise Roger Vuaridel

Three models of division control are proposed to achieve cell size homeostasis: sizer, timer, and adder. However, few published studies of division control take into account the dynamics of single‐cell growth and most assume that single‐cell growth is expo ...

2019

Eigendecomposition-free Training of Deep Networks with Zero Eigenvalue-based Losses

Pascal Fua, Mathieu Salzmann, Zheng Dang, Kwang Moo Yi, Fei Wang, Yinlin Hu

Many classical Computer Vision problems, such as essential matrix computation and pose estimation from 3D to 2D correspondences, can be solved by ﬁnding the eigenvector corresponding to the smallest, or zero, eigenvalue of a matrix representing a linear sy ...

2018

Theory Space: The Architecture Studio

Emmanuel Petit

Somewhere around the late 60's, the architectural studio underwent a 'conceptual' turn which, some fifty years later, would unknowingly become the model for the now fashionable 'start-up', 'business incubator' and 'think-tank' spaces that have sprung up fr ...

2018

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