Concept
Compact-open topology
Related publications (16)
Communication-efficient distributed training of machine learning models
In this thesis, we explore techniques for addressing the communication bottleneck in data-parallel distributed training of deep learning models. We investigate algorithms that either reduce the size of the messages that are exchanged between workers, or th ...
EPFL2023On compact representations of Voronoi cells of lattices
Matthias Schymura, Christoph Hunkenschröder
In a seminal work, Micciancio and Voulgaris (SIAM J Comput 42(3):1364-1391, 2013) described a deterministic single-exponential time algorithm for the closest vector problem (CVP) on lattices. It is based on the computation of the Voronoi cell of the given ...
SPRINGER HEIDELBERG2020Some regularity results for p-harmonic mappings between Riemannian manifolds
Let M be a C-2-smooth Riemannian manifold with boundary and N a complete C-2-smooth Riemannian manifold. We show that each stationary p-harmonic mapping u: M -> N, whose image lies in a compact subset of N, is locally C-1,C-alpha for some alpha is an eleme ...
2019Convergence analysis of Padé approximations for Helmholtz frequency response problems
Fabio Nobile, Francesca Bonizzoni
The present work concerns the approximation of the solution map associated to the parametric Helmholtz boundary value problem, i.e., the map which associates to each (real) wavenumber belonging to a given interval of interest the corresponding solution ...
2018Periodic cellular aluminum structures for space applications
Mass is one of the crucial parameters for hardware that has to be placed in Earth orbit. Due to its harsh environment, a material with highest specific properties is desired to achieve space missions. The rise and development of new technologies, such as a ...
EPFL2018Reuse in Architecture & Structural Design
Introduction The construction industry has an extensive impact on the global environment and will be facing three big challenges in the next decades: reducing its resource consumption, decreasing its energy use, and limiting its waste production. This is e ...
2018On compact representations of Voronoi cells of lattices
Matthias Schymura, Christoph Hunkenschröder
In a seminal work, Micciancio & Voulgaris (2010) described a deterministic single-exponential time algorithm for the Closest Vector Problem (CVP) on lattices. It is based on the computation of the Voronoi cell of the given lattice and thus may need exponen ...
SPRINGER INTERNATIONAL PUBLISHING AG2018Topological Structures on DMC spaces
Two channels are said to be equivalent if they are degraded from each other. The space of equivalent channels with input alphabet X and output alphabet Y can be naturally endowed with the quotient of the Euclidean topology by the equivalence relation. We s ...
2017MATHICSE Technical Report :Convergence analysis of Padé approximations for Helmholtz frequency response problems
Fabio Nobile, Francesca Bonizzoni
The present work concerns the approximation of the solution map S associated to the parametric Helmholtz boundary value problem, i.e., the map which associates to each (real) wavenumber belonging to a given interval of interest the corresponding solution o ...
MATHICSE2016Large field excursions and approximate discrete symmetries from a clockwork axion
We present a renormalizable theory of scalars in which the low-energy effective theory contains a pseudo-Goldstone boson with a compact field space of 2 pi F and an approximate discrete shift symmetry Z(Q) with Q >> 1, yet the number of fields in the theor ...
Amer Physical Soc2016