Publications related to MATHICSE Technical Report : Analytic regularity and collocation approximation for PDEs with random domain deformations

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We examine a flexible algorithmic framework for solving monotone variational inequalities in the presence of randomness and uncertainty. The proposed template encompasses a wide range of popular first-order methods, including dual averaging, dual extrapola ...

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Resonance Frequency Dependence Of A1 Lamb Mode On The Pitch Of The Electrode Structure

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Dispersion of A1 Lamb mode near onset frequency is discussed. This mode is close to that used in XBAR devices. The typically used approximation is based on elliptic form of slowness curve and ignoring mode interaction is not valid for widely used materials ...

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On some consistent tests of mutual independence among several random vectors of arbitrary dimensions

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Testing for mutual independence among several random vectors is a challenging problem, and in recent years, it has gained significant attention in statistics and machine learning literature. Most of the existing tests of independence deal with only two ran ...

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We report the first high-resolution continuous profile of dissolved methane in the shallow water of Lake Kivu, Rwanda. The measurements were performed using an in situ dissolved gas sensor, called Sub-Ocean, based on a patented membrane-based extraction te ...

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Strong convergence of multivariate maxima

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It is well known and readily seen that the maximum of n independent and uniformly on [0, 1] distributed random variables, suitably standardised, converges in total variation distance, as n increases, to the standard negative exponential distribution. We ex ...

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A Local Law for Singular Values from Diophantine Equations

Marius Christopher Lemm

We introduce the

N\times N

random matrices

X_{j,k}=\exp\left(2\pi i \sum_{q=1}^d\ \omega_{j,q} k^q\right) \quad \text{with } \{\omega_{j,q}\}_{\substack{1\leq j\leq N\\ 1\leq q\leq d}} \text{ i.i.d. random variables},

and

d

a fixed integer. We pr ...

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Network travel time reliability can be represented by a relationship between network space-mean travel time and the standard deviation of network travel time. The primary objective of this paper is to improve estimation of the network travel time reliabili ...

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An Operational Approach to Information Leakage

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Given two random variables X and Y , an operational approach is undertaken to quantify the "leakage" of information from X to Y . The resulting measure L (X -> Y) is called maximal leakage, and is defined as the multiplicative increase, upon observing Y , ...

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Kramers Kronig detection of four 20 Gbaud 16-QAM channels using Kerr combs for a shared phase estimation

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MATHICSE Technical Report : Analytic regularity and collocation approximation for PDEs with random domain deformations

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Sifting through the Noise: Universal First-Order Methods for Stochastic Variational Inequalities

Resonance Frequency Dependence Of A1 Lamb Mode On The Pitch Of The Electrode Structure

On some consistent tests of mutual independence among several random vectors of arbitrary dimensions

Continuous in situ measurement of dissolved methane in Lake Kivu using a membrane inlet laser spectrometer

Strong convergence of multivariate maxima

A Local Law for Singular Values from Diophantine Equations

Estimating network travel time reliability with network partitioning

Drynx: Decentralized, Secure, Verifiable System for Statistical Queries and Machine Learning on Distributed Datasets

An Operational Approach to Information Leakage

Kramers Kronig detection of four 20 Gbaud 16-QAM channels using Kerr combs for a shared phase estimation

On some consistent tests of mutual independence among several random vectors of arbitrary dimensions

Strong convergence of multivariate maxima

Estimating network travel time reliability with network partitioning

Continuous in situ measurement of dissolved methane in Lake Kivu using a membrane inlet laser spectrometer

Drynx: Decentralized, Secure, Verifiable System for Statistical Queries and Machine Learning on Distributed Datasets

Resonance Frequency Dependence Of A1 Lamb Mode On The Pitch Of The Electrode Structure

A Local Law for Singular Values from Diophantine Equations

Sifting through the Noise: Universal First-Order Methods for Stochastic Variational Inequalities

An Operational Approach to Information Leakage

Kramers Kronig detection of four 20 Gbaud 16-QAM channels using Kerr combs for a shared phase estimation