Concept
Inverse trigonometric functions
Related publications (146)
Stable parameterization of continuous and piecewise-linear functions
Michaël Unser, Alexis Marie Frederic Goujon, Joaquim Gonçalves Garcia Barreto Campos
Rectified-linear-unit (ReLU) neural networks, which play a prominent role in deep learning, generate continuous and piecewise-linear (CPWL) functions. While they provide a powerful parametric representation, the mapping between the parameter and function s ...
2023Debates on the dorsomedial prefrontal/dorsal anterior cingulate cortex: insights for future research
The dorsomedial prefrontal cortex/dorsal anterior cingulate cortex (dmPFC/dACC) is a brain area subject to many theories and debates over its function(s). Even its precise anatomical borders are subject to much controversy. In the past decades, the dmPFC/d ...
Oxford2023Noncollinear DFT plus U and Hubbard parameters with fully relativistic ultrasoft pseudopotentials
The magnetic, noncollinear parametrization of Dudarev's DFT + U method is generalized to fully relativistic ultrasoft pseudopotentials. We present the definition of the DFT + U total energy functional and the calculation of forces and stresses in the case ...
College Pk2023Algebraic twists of GL(2) automorphic forms
In this thesis we consider the problem of estimating the correlation of Hecke eigenvalues of GL2 automorphic forms with a class of functions of algebraic origin defined over finite fields called trace functions. The class of trace functions is vast and inc ...
EPFL2023Neural Energy Casimir Control for Port-Hamiltonian Systems
Giancarlo Ferrari Trecate, Muhammad Zakwan, Liang Xu
The energy Casimir method is an effective controller design approach to stabilize port-Hamiltonian systems at a desired equilibrium. However, its application relies on the availability of suitable Casimir and Lyapunov functions, whose computation are gener ...
2022Finite Littlestone Dimension Implies Finite Information Complexity
Michael Christoph Gastpar, Aditya Pradeep, Ido Nachum
We prove that every online learnable class of functions of Littlestone dimension d admits a learning algorithm with finite information complexity. Towards this end, we use the notion of a globally stable algorithm. Generally, the information complexity of ...
2022Exploring residential preferences before and during the first COVID-19 lockdown in Switzerland
Claudia Rebeca Binder Signer, Anna Pagani, Livia Bianca Fritz, Ralph Hansmann
The first COVID-19 lockdown blurred the boundaries between all dimensions of life. Residential environments had to function as schools, offices and homes, often challenging residents’ comfort and wellbeing. In this study, we look into the effects of the fi ...
2021Online Submodular Resource Allocation with Applications to Rebalancing Shared Mobility Systems
Maryam Kamgarpour, Andreas Krause, Ilija Bogunovic
Motivated by applications in shared mobility, we address the problem of allocating a group of agents to a set of resources to maximize a cumulative welfare objective. We model the welfare obtainable from each resource as a monotone DR-submodular function w ...
PMLR2021Une approche computationnelle du cadastre napoléonien de Venise
Frédéric Kaplan, Isabella Di Lenardo, Raphaël Barman, Federica Pardini
At the beginning of the 19th century, the Napoleonic administration introduced a new standardised description system to give an objective account of the form and functions of the city of Venice. The cadastre, deployed on a European scale, was offering for ...
2021Covers Of Rational Double Points In Mixed Characteristic
We further the classification of rational surface singularities. Suppose (S, n, k) is a 3-dimensional strictly Henselian regular local ring of mixed characteristic (0, p > 5). We classify functions f for which S/(f) has an isolated rational singularity at ...
2021