Publications related to MATHICSE Technical Report : Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points

Analytical prediction of the final error due to noise in a ϕ-OTDR system

Luc Thévenaz, Malak Mohamed Hossameldeen Omar Mohamed Galal, Yuting Yang, Li Zhang, Suneetha Sebastian

An analytical expression to estimate the uncertainty on the frequency shift in ϕ-OTDR systems is established and confirmed by actual data. ...

Optica Publishing Group2022

PoGaIN: Poisson-Gaussian Image Noise Modeling From Paired Samples

Sabine Süsstrunk, Majed El Helou, Kaan Okumus

Image noise can often be accurately fitted to a Poisson-Gaussian distribution. However, estimating the distribution parameters from a noisy image only is a challenging task. Here, we study the case when paired noisy and noise-free samples are accessible. N ...

2022

Localization errors of the stochastic heat equation

David Jean-Michel Candil

In this thesis, we study the stochastic heat equation (SHE) on bounded domains and on the whole Euclidean space

\R^d.

We confirm the intuition that as the bounded domain increases to the whole space, both solutions become arbitrarily close to one another ...

EPFL2022

On Preconditioning of Decentralized Gradient-Descent When Solving a System of Linear Equations

Nirupam Gupta

This article considers solving an overdetermined system of linear equations in peer-to-peer multiagent networks. The network is assumed to be synchronous and strongly connected. Each agent has a set of local data points, and their goal is to compute a line ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2022

Finite Bit Quantization For Decentralized Learning Under Subspace Constraints

Ali H. Sayed, Stefan Vlaski, Roula Nassif, Marco Carpentiero

In this paper, we consider decentralized optimization problems where agents have individual cost functions to minimize subject to subspace constraints that require the minimizers across the network to lie in low-dimensional subspaces. This constrained form ...

IEEE2022

The Price of Distributed: Rate Loss in the CEO Problem

Michael Christoph Gastpar, Alper Köse, Ahmet Arda Atalik

In the distributed remote (CEO) source coding problem, many separate encoders observe independently noisy copies of an underlying source. The rate loss is the difference between the rate required in this distributed setting and the rate that would be requi ...

2022

The exploration process of critical Boltzmann planar maps decorated by a triangular O(n) loop model

Aleksandra Korzhenkova

In this paper we investigate pointed (q, g, n)-Boltzmann loop-decorated maps with loops traversing only inner triangular faces. Using peeling exploration Budd (2018) modified to this setting we show that its law in the non-generic critical phase can be cod ...

IMPA2022

Transverse Noise, Decoherence, and Landau Damping in High-Energy Hadron Colliders

Sondre Vik Furuseth

High-energy hadron colliders are designed to generate particle collisions within specialized detectors. A higher number of collisions is achieved with high-quality beams of low transverse emittances, meaning a small transverse cross-section, and high inten ...

EPFL2021

High-frequency broadband laser phase noise cancellation using a delay line

Timo Zwettler

Laser phase noise remains a limiting factor in many experimental settings, including metrology, time-keeping, as well as quantum optics. Hitherto this issue was addressed at low frequencies ranging from well below 1 Hz to maximally 100 kHz. However, a wide ...

OPTICAL SOC AMER2021

The Globalization of an Interaction Ritual Chain: “Clapping for Carers” During the Conflict Against COVID-19

Alexandre André Robert Rigal

Sociologists have long been interested in the theoretical possibility of a universal ritual. Despite a growing number of indicators of world society and globalization, there have not been attempts to observe and analyze the international reach of particula ...

2021

MATHICSE Technical Report : Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points

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Analytical prediction of the final error due to noise in a ϕ-OTDR system

PoGaIN: Poisson-Gaussian Image Noise Modeling From Paired Samples

Localization errors of the stochastic heat equation

On Preconditioning of Decentralized Gradient-Descent When Solving a System of Linear Equations

Finite Bit Quantization For Decentralized Learning Under Subspace Constraints

The Price of Distributed: Rate Loss in the CEO Problem

The exploration process of critical Boltzmann planar maps decorated by a triangular O(n) loop model

Transverse Noise, Decoherence, and Landau Damping in High-Energy Hadron Colliders

High-frequency broadband laser phase noise cancellation using a delay line

The Globalization of an Interaction Ritual Chain: “Clapping for Carers” During the Conflict Against COVID-19

PoGaIN: Poisson-Gaussian Image Noise Modeling From Paired Samples

Localization errors of the stochastic heat equation

Transverse Noise, Decoherence, and Landau Damping in High-Energy Hadron Colliders

The Price of Distributed: Rate Loss in the CEO Problem

The exploration process of critical Boltzmann planar maps decorated by a triangular O(n) loop model

Finite Bit Quantization For Decentralized Learning Under Subspace Constraints

On Preconditioning of Decentralized Gradient-Descent When Solving a System of Linear Equations

High-frequency broadband laser phase noise cancellation using a delay line

The Globalization of an Interaction Ritual Chain: “Clapping for Carers” During the Conflict Against COVID-19

Analytical prediction of the final error due to noise in a ϕ-OTDR system