Publications related to Set theory

Moments of the number of points in a bounded set for number field lattices

Maryna Viazovska, Nihar Prakash Gargava, Vlad Serban

We examine the moments of the number of lattice points in a fixed ball of volume

V

for lattices in Euclidean space which are modules over the ring of integers of a number field

K

. In particular, denoting by

ω_K

the number of roots of unity in

K

, we ...

arXiv2023

Early decoding of walking tasks with minimal set of EMG channels

Silvestro Micera, Francesco Iberite, Federica Barberi, Eugenio Anselmino

Objective. Powered lower-limb prostheses relying on decoding motor intentions from non-invasive sensors, like electromyographic (EMG) signals, can significantly improve the quality of life of amputee subjects. However, the optimal combination of high decod ...

IOP Publishing Ltd2023

Model agnostic methods meta-learn despite misspecifications

Nicolas Henri Bernard Flammarion, Oguz Kaan Yüksel, Etienne Patrice Boursier

Due to its empirical success on few shot classification and reinforcement learning, meta-learning recently received a lot of interest. Meta-learning leverages data from previous tasks to quickly learn a new task, despite limited data. In particular, model ...

2023

Equivariant Neural Architectures for Representing and Generating Graphs

Clément Arthur Yvon Vignac

Graph machine learning offers a powerful framework with natural applications in scientific fields such as chemistry, biology and material sciences. By representing data as a graph, we encode the prior knowledge that the data is composed of a set of entitie ...

EPFL2023

Results on Sparse Integer Programming and Geometric Independent Sets

Jana Tabea Cslovjecsek

An integer linear program is a problem of the form max{c^T x : Ax=b, x >= 0, x integer}, where A is in Z^(n x m), b in Z^m, and c in Z^n.Solving an integer linear program is NP-hard in general, but there are several assumptions for which it becomes fixed p ...

EPFL2023

Complex Representation Learning with Graph Convolutional Networks for Knowledge Graph Alignment

Thanh Trung Huynh, Quoc Viet Hung Nguyen, Thành Tâm Nguyên

The task of discovering equivalent entities in knowledge graphs (KGs), so-called KG entity alignment, has drawn much attention to overcome the incompleteness problem of KGs. The majority of existing techniques learns the pointwise representations of entiti ...

London2023

Positive Definite Completions and Continuous Graphical Models

Kartik Waghmare

This thesis concerns the theory of positive-definite completions and its mutually beneficial connections to the statistics of function-valued or continuously-indexed random processes, better known as functional data analysis. In particular, it dwells upon ...

EPFL2023

A Network Calculus Analysis of Asynchronous Mechanisms in Time-Sensitive Networks

Ehsan Mohammadpour

Time-sensitive networks provide worst-case guarantees for applications in domains such as the automobile, automation, avionics, and the space industries. A violation of these guarantees can cause considerable financial loss and serious damage to human live ...

EPFL2023

Measurement of the 171Tm beta spectrum

Lesya Shchutska, Alexey Boyarsky

The beta spectrum of the main transition of the 171Tm was measured using a double focalizing spectrometer. The instrument was lately improved in order to reduce its low energy threshold to 34 keV. We used the spectrometer to measure the energy end-point of ...

2023

Design and Prototype an artificial urethra

Salim Boussofara

The human urethra is a complex tubular organ that allows to empty urine from the urinary bladder. Due to its hyperelastic properties and heterogeneous composition, the design of an artificial urethra (AU) is a real engineering challenge. Within the Center ...

2023

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Moments of the number of points in a bounded set for number field lattices

Early decoding of walking tasks with minimal set of EMG channels

Model agnostic methods meta-learn despite misspecifications

Equivariant Neural Architectures for Representing and Generating Graphs

Results on Sparse Integer Programming and Geometric Independent Sets

Complex Representation Learning with Graph Convolutional Networks for Knowledge Graph Alignment

Positive Definite Completions and Continuous Graphical Models

A Network Calculus Analysis of Asynchronous Mechanisms in Time-Sensitive Networks

Measurement of the 171Tm beta spectrum

Design and Prototype an artificial urethra

A Network Calculus Analysis of Asynchronous Mechanisms in Time-Sensitive Networks

Results on Sparse Integer Programming and Geometric Independent Sets

Positive Definite Completions and Continuous Graphical Models

Early decoding of walking tasks with minimal set of EMG channels

Model agnostic methods meta-learn despite misspecifications

Equivariant Neural Architectures for Representing and Generating Graphs

Complex Representation Learning with Graph Convolutional Networks for Knowledge Graph Alignment

Measurement of the 171Tm beta spectrum

Moments of the number of points in a bounded set for number field lattices

Design and Prototype an artificial urethra