Publications related to Exponential family

Distributed Inference over Multitask Graphs under Smoothness

Ali H. Sayed, Stefan Vlaski, Roula Nassif

This paper formulates a multitask optimization problem where agents in the network have individual objectives to meet, or individual parameter vectors to estimate, subject to a smoothness condition over the graph. The smoothness requirement softens the tra ...

IEEE2018

Small Extended Formulation for Knapsack Cover Inequalities from Monotone Circuits

Ola Nils Anders Svensson, Abbas Bazzi, Sangxia Huang

Initially developed for the min-knapsack problem, the knapsack cover inequalities are used in the current best relaxations for numerous combinatorial optimization problems of covering type. In spite of their widespread use, these inequalities yield linear ...

UNIV CHICAGO, DEPT COMPUTER SCIENCE2018

Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle

Marius Christopher Lemm, Rui Han

We study the one-dimensional discrete Schrödinger operator with the skew-shift potential

2\lambda\cos\left(2\pi \left(\binom{j}{2} \omega+jy+x\right)\right)

. This potential is long conjectured to behave like a random one, i.e., it is expected to produce ...

2018

Caching of Bivariate Gaussians with Non-Uniform Preference Probabilities

Michael Christoph Gastpar, Guillaume Jean Op 't Veld

Caching is technique that alleviates networks during peak hours by transmitting partial information before a request for any is made. We study this method in a lossy source coding setting with Gaussian databases. A good caching strategy minimizes the data ...

2017

Renormalization and blow up for wave maps from $S^2 \times \mathbb{R}$ to $S^2$

Sohrab Mirshams Shahshahani

We construct a one parameter family of nite time blow ups to the co-rotational wave maps problem from

S^2\times R

to

S^2

parameterized by

\nu \epsilon (\frac{1}{2},1]

. The longitudinal function

u(t,\alpha)

which is the main object of study will be ...

2016

RENORMALIZATION AND BLOW-UP FOR WAVE MAPS FROM S-2 x R TO S-2

Sohrab Mirshams Shahshahani

We construct a one parameter family of finite time blow-ups to the co-rotational wave maps problem from S-2 x R to S-2, parameterized by nu is an element of (1/2, 1]. The longitudinal function u(t, alpha) which is the main object of study will be obtained ...

American Mathematical Society2016

Bayesian Calibration of Thermal-Hydraulics Model with Time-Dependent Output

Andreas Pautz, Damar Canggih Wicaksono, Omar Zerkak

The currently adopted practice for uncertainty quantification of thermal-hydraulics code predictions is done through statistical sampling where the code is evaluated multiple times using different values of input parameters that are randomly generated acco ...

2016

Intearcting Brownian Swarms: Some Analytical Results

Max-Olivier Hongler, Guillaume Adrien Sartoretti

We consider the dynamics of swarms of scalar Brownian agents subject to local imitation mechanisms implemented using mutual rank-based interactions. For appropriate values of the underlying control parameters, the swarm propagates tightly and the distances ...

MDPI AG2016

Likelihood estimators for multivariate extremes

Anthony Christopher Davison, Raphaël Huser

The main approach to inference for multivariate extremes consists in approximating the joint upper tail of the observations by a parametric family arising in the limit for extreme events. The latter may be expressed in terms of componentwise maxima, high t ...

Springer2016

Towards tailoring non-invasive brain stimulation using real-time fMRI and Bayesian optimization

Yury Koush

Non-invasive brain stimulation, such as transcranial alternating current stimulation (tACS) provides a powerful tool to directly modulate brain oscillations that mediate complex cognitive processes. While the body of evidence about the effect of tACS on be ...

Ieee2016

Exponential family

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Distributed Inference over Multitask Graphs under Smoothness

Small Extended Formulation for Knapsack Cover Inequalities from Monotone Circuits

Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle

Caching of Bivariate Gaussians with Non-Uniform Preference Probabilities

Renormalization and blow up for wave maps from $S^2 \times \mathbb{R}$ to $S^2$

RENORMALIZATION AND BLOW-UP FOR WAVE MAPS FROM S-2 x R TO S-2

Bayesian Calibration of Thermal-Hydraulics Model with Time-Dependent Output

Intearcting Brownian Swarms: Some Analytical Results

Likelihood estimators for multivariate extremes

Towards tailoring non-invasive brain stimulation using real-time fMRI and Bayesian optimization

Caching of Bivariate Gaussians with Non-Uniform Preference Probabilities

Distributed Inference over Multitask Graphs under Smoothness

Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle

Intearcting Brownian Swarms: Some Analytical Results

Small Extended Formulation for Knapsack Cover Inequalities from Monotone Circuits

Towards tailoring non-invasive brain stimulation using real-time fMRI and Bayesian optimization

Renormalization and blow up for wave maps from $S^2 \times \mathbb{R}$ to $S^2$

Likelihood estimators for multivariate extremes

RENORMALIZATION AND BLOW-UP FOR WAVE MAPS FROM S-2 x R TO S-2

Bayesian Calibration of Thermal-Hydraulics Model with Time-Dependent Output