Publications related to Continuous linear operator

Reducibility bounds of objective functions over the integers

We study the settings where we are given a separable objective function of n variables defined in a given box of integers. We show that in many cases we can replace the given objective function by a new function with a much smaller domain. Our results appl ...

Amsterdam2023

Proximal Point Imitation Learning

Volkan Cevher, Luca Viano, Igor Krawczuk, Angeliki Kamoutsi

This work develops new algorithms with rigorous efficiency guarantees for infinite horizon imitation learning (IL) with linear function approximation without restrictive coherence assumptions. We begin with the minimax formulation of the problem and then o ...

2022

Discrete Voss surfaces: Designing geodesic gridshells with planar cladding panels

Corentin Jean Dominique Fivet, Nicolas Robin Montagne, Olivier Baverel

The design and construction of doubly-curved structures often reveals to be challenging and can result in complex manufacturing and assembly. A recent strategy to tackle this difficulty consists in exploiting the connection between discrete differential ge ...

2022

Neural-network quantum states for periodic systems in continuous space

Giuseppe Carleo, Gabriel Maria Pescia

We introduce a family of neural quantum states for the simulation of strongly interacting systems in the presence of spatial periodicity. Our variational state is parametrized in terms of a permutationally invariant part described by the Deep Sets neural-n ...

AMER PHYSICAL SOC2022

Latest findings on the behaviour factor q for the seismic design of URM buildings

Katrin Beyer

Recent earthquakes as the 2012 Emilia earthquake sequence showed that recently built unreinforced masonry (URM) buildings behaved much better than expected and sustained, despite the maximum PGA values ranged between 0.20-0.30 g, either minor damage or str ...

SPRINGER2022

Discretisation and continuity: The emergence of symbols in communication

Martin Alois Rohrmeier, Robert Lieck

Vocal signalling systems, as used by humans and various non-human animals, exhibit discrete and continuous properties that can naturally be used to express discrete and continuous information, such as distinct words to denote objects in the world and proso ...

2021

Yapa: Accelerated Proximal Algorithm For Convex Composite Problems

Mireille El Gheche, Giovanni Chierchia

Proximal splitting methods are standard tools for nonsmooth optimization. While primal-dual methods have become very popular in the last decade for their flexibility, primal methods may still be preferred for two reasons: acceleration schemes are more effe ...

IEEE2021

Poly-NL: Linear Complexity Non-local Layers With 3rd Order Polynomials

Grigorios Chrysos, Filippos Kokkinos

Spatial self-attention layers, in the form of Non-Local blocks, introduce long-range dependencies in Convolutional Neural Networks by computing pairwise similarities among all possible positions. Such pairwise functions underpin the effectiveness of non-lo ...

IEEE2021

Machine-Learning of Atomic-Scale Properties Based on Physical Principles

Michele Ceriotti, Michael John Willatt

We briefly summarize the kernel regression approach, as used recently in materials modelling, to fitting functions, particularly potential energy surfaces, and highlight how the linear algebra framework can be used to both predict and train from linear fun ...

Springer International Publishing2020

A stability theory beyond the co-rotational setting for critical wave maps blow up

Joachim Krieger, Shuang Miao

We exhibit non-equivariant perturbations of the blowup solutions constructed in [18] for energy critical wave maps into

\mathbb{S}^2

. Our admissible class of perturbations is an open set in some sufficiently smooth topology and vanishes near the light co ...

2020

Continuous linear operator

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Reducibility bounds of objective functions over the integers

Proximal Point Imitation Learning

Discrete Voss surfaces: Designing geodesic gridshells with planar cladding panels

Neural-network quantum states for periodic systems in continuous space

Latest findings on the behaviour factor q for the seismic design of URM buildings

Discretisation and continuity: The emergence of symbols in communication

Yapa: Accelerated Proximal Algorithm For Convex Composite Problems

Poly-NL: Linear Complexity Non-local Layers With 3rd Order Polynomials

Machine-Learning of Atomic-Scale Properties Based on Physical Principles

A stability theory beyond the co-rotational setting for critical wave maps blow up

Discretisation and continuity: The emergence of symbols in communication

Poly-NL: Linear Complexity Non-local Layers With 3rd Order Polynomials

Machine-Learning of Atomic-Scale Properties Based on Physical Principles

Neural-network quantum states for periodic systems in continuous space

Proximal Point Imitation Learning

Reducibility bounds of objective functions over the integers

Discrete Voss surfaces: Designing geodesic gridshells with planar cladding panels

Latest findings on the behaviour factor q for the seismic design of URM buildings

Yapa: Accelerated Proximal Algorithm For Convex Composite Problems

A stability theory beyond the co-rotational setting for critical wave maps blow up