Concept
Bijection réciproque
Publications associées (44)
Efficient Continual Finite-Sum Minimization
Volkan Cevher, Efstratios Panteleimon Skoulakis, Leello Tadesse Dadi
Given a sequence of functions with , finite-sum minimization seeks a point minimizing . In this work, we propose a key twist into the finite-sum minimizat ...
2024Experimental characterization and stochastic models for time-dependent rupture of thin-ply composite laminates
Thin-laminate composites with thicknesses below 200 mu m hold significant promise for future, larger, and lighter deployable structures. This paper presents a study of the time-dependent failure behavior of thin carbon-fiber laminates under bending, focusi ...
2024Noncollinear 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 Pk2023A Majority Lemma for Randomised Query Complexity
Mika Tapani Göös, Gilbert Théodore Maystre
We show that computing the majority of n copies of a boolean function g has randomised query complexity R(Maj∘gⁿ) = Θ(n⋅R ̅_{1/n}(g)). In fact, we show that to obtain a similar result for any composed function f∘gⁿ, it suffices to prove a sufficiently stro ...
Schloss Dagstuhl - Leibniz-Zentrum für Informatik2021Pulay forces in density-functional theory with extended Hubbard functionals: From nonorthogonalized to orthogonalized manifolds
Nicola Marzari, Iurii Timrov, Matteo Cococcioni, Francesco Aquilante, Luca Binci
We present a derivation of the exact expression for Pulay forces in density-functional theory calculations augmented with extended Hubbard functionals and arising from the use of orthogonalized atomic orbitals as projectors for the Hubbard manifold. The de ...
AMER PHYSICAL SOC2020Inverse Modelling and Predictive Inference in Continuum Mechanics: a Data-Driven Approach
Claire Marianne Charlotte Capelo
The explosive growth of machine learning in the age of data has led to a new probabilistic and data-driven approach to solving very different types of problems. In this paper we study the feasibility of using such data-driven algorithms to solve classic ph ...
2020The Almost-Sure Asymptotic Behavior Of The Solution To The Stochastic Heat Equation With Levy Noise
We examine the almost-sure asymptotics of the solution to the stochastic heat equation driven by a Levy space-time white noise. When a spatial point is fixed and time tends to infinity, we show that the solution develops unusually high peaks over short tim ...
INST MATHEMATICAL STATISTICS2020The Power of Many Samples in Query Complexity
The randomized query complexity 𝖱(f) of a boolean function f: {0,1}ⁿ → {0,1} is famously characterized (via Yao’s minimax) by the least number of queries needed to distinguish a distribution 𝒟₀ over 0-inputs from a distribution 𝒟₁ over 1-inputs, maximized ...
Schloss Dagstuhl - Leibniz-Zentrum für Informatik2020When Is Amplification Necessary for Composition in Randomized Query Complexity?
Suppose we have randomized decision trees for an outer function f and an inner function g. The natural approach for obtaining a randomized decision tree for the composed function (f∘ gⁿ)(x¹,…,xⁿ) = f(g(x¹),…,g(xⁿ)) involves amplifying the success probabili ...
Schloss Dagstuhl - Leibniz-Zentrum für Informatik2020The dynamics of motor learning through the formation of internal models
A medical student learning to perform a laparoscopic procedure or a recently paralyzed user of a powered wheelchair must learn to operate machinery via interfaces that translate their actions into commands for an external device. Since the user’s actions a ...
2019