Publications related to General topology

A decomposition of multicorrelation sequences for commuting transformations along primes

A decomposition of multicorrelation sequences for commuting transformations along primes, Discrete Analysis 2021:4, 27 pp. Szemerédi's theorem asserts that for every positive integer

k

and every

\delta>0

there exists

n

such that every subset of ${1, ...

2021

Reaching Paris Agreement Goal through CDR/DAC Development: A Compact OR Model

Marc Vielle, Frédéric Louis François Babonneau, Alain Haurie

A compact operations research (OR) model is proposed to analyse the prospects of meeting the Paris Agreement targets when direct air capture technologies can be used or not. The main features of the model are (i) the representation of the economy and energ ...

2021

Invariant Integrals on Topological Groups and Applications

Vasco Schiavo

We study a fixed point property for linear actions of discrete groups on weakly complete convex proper cones in locally convex topological vector spaces. We search to understand the class of discrete groups which enjoys this property and we try to generali ...

EPFL2021

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

Sequential metric dimension for random graphs

Patrick Thiran, Gergely Odor

In the localization game on a graph, the goal is to find a fixed but unknown target node v* with the least number of distance queries possible. In the j-th step of the game, the player queries a single node v_j and receives, as an answer to their query, th ...

2021

Data-Driven Convergence Prediction of Astrobots Swarms

Denis Gillet, Jean-Paul Richard Kneib, Matin Macktoobian, Francesco Basciani

Astrobots are robotic artifacts whose swarms are used in astrophysical studies to generate the map of the observable universe. These swarms have to be coordinated with respect to various desired observations. Such coordination\footnote{\z{A coordination sa ...

2021

Molecular Origin of the Asymmetric Photoluminescence Spectra of CsPbBr3 at Low Temperature

Ursula Röthlisberger, Ariadni Boziki, Mohammad Ibrahim Dar, Gwénolé Jean Jacopin

CsPbBr3 has received wide attention due to its superior emission yield and better thermal stability compared to other organic-inorganic lead halide perovskites. In this study, through an interplay of theory and experiments, we investigate the molecular ori ...

2021

Linear Lipschitz and C-1 extension operators through random projection

Federico Stra

We construct a regular random projection of a metric space onto a closed doubling subset and use it to linearly extend Lipschitz and C-1 functions. This way we prove more directly a result by Lee and Naor [5] and we generalize the C-l extension theorem by ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2021

A Distributed Luenberger Observer for Linear State Feedback Systems With Quantized and Rate-Limited Communications

Colin Neil Jones, Ye Pu, Andrea Alessandretti, Francisco Fernandes Castro Rego

This article addresses the problem of simultaneous distributed state estimation, and control of linear systems with linear state feedback, subjected to process, and measurement noise, under the constraints of quantized, and rate-limited network data transm ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2021

Geometry of the Loss Landscape in Overparameterized Neural Networks: Symmetries and Invariances

Wulfram Gerstner, Clément Hongler, Johanni Michael Brea, Francesco Spadaro, Berfin Simsek, Arthur Jacot

We study how permutation symmetries in overparameterized multi-layer neural networks generate `symmetry-induced' critical points. Assuming a network with

L

layers of minimal widths

r_1^*, \ldots, r_{L-1}^*

reaches a zero-loss minimum at $ r_1^*! \c ...

2021

General topology

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A decomposition of multicorrelation sequences for commuting transformations along primes

Reaching Paris Agreement Goal through CDR/DAC Development: A Compact OR Model

Invariant Integrals on Topological Groups and Applications

Discretisation and continuity: The emergence of symbols in communication

Sequential metric dimension for random graphs

Data-Driven Convergence Prediction of Astrobots Swarms

Molecular Origin of the Asymmetric Photoluminescence Spectra of CsPbBr3 at Low Temperature

Linear Lipschitz and C-1 extension operators through random projection

A Distributed Luenberger Observer for Linear State Feedback Systems With Quantized and Rate-Limited Communications

Geometry of the Loss Landscape in Overparameterized Neural Networks: Symmetries and Invariances

Invariant Integrals on Topological Groups and Applications

A Distributed Luenberger Observer for Linear State Feedback Systems With Quantized and Rate-Limited Communications

A decomposition of multicorrelation sequences for commuting transformations along primes

Data-Driven Convergence Prediction of Astrobots Swarms

Sequential metric dimension for random graphs

Discretisation and continuity: The emergence of symbols in communication

Linear Lipschitz and C-1 extension operators through random projection

Reaching Paris Agreement Goal through CDR/DAC Development: A Compact OR Model

Geometry of the Loss Landscape in Overparameterized Neural Networks: Symmetries and Invariances

Molecular Origin of the Asymmetric Photoluminescence Spectra of CsPbBr3 at Low Temperature