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May 26, 2015
Algebraic Geometry
Complex Variables

In this section, O×hol(Z) stands for the multiplicative group of the algebra Ohol(Z) of all holomorphic functions on a complex space Z, and Ohol,+(Z) for its additive group.

Automorphism Groups of Configuration Spaces and Discriminant Varieties

The configuration space $\mathcal{C}^n(X)$ of an algebraic curve $X$ is the algebraic variety consisting of all $n$-point subsets $Q\subset X$. We de…
Jan 20, 2015
Mathematical Physics
Probability

In this section we investigate invariant measures for the Toom interface on \mathbb{Z}, using the coupling from § 2. Throughout the section we assume that \sigma=(\sigma^{1},\sigma^{2}) is a pair of Toom processes on \mathbb{Z} coupled as in Definit…

The Toom Interface Via Coupling

We consider a one dimensional interacting particle system which describes the effective interface dynamics of the two dimensional Toom model at low t…
Jul 08, 2015
Machine Learning
Optimization and Control

Beyond Convexity: Stochastic Quasi-Convex Optimization

Stochastic convex optimization is a basic and well studied primitive in machine learning. It is well known that convex and Lipschitz functions can be…
Jul 12, 2016
Exactly Solvable and Integrable Systems

Nonlinear dynamics of hidden modes in a system with internal symmetry

We consider a discrete dynamical system with internal degrees of freedom (DOF). Due to the symmetry between the internal DOFs, certain internal modes…
Dec 15, 2015
Chaotic Dynamics

Probing the statistics of transport in the Hénon Map

The phase space of an area-preserving map typically contains infinitely many elliptic islands embedded in a chaotic sea. Orbits near the boundary of …
Apr 19, 2015

Heating the intra-cluster medium by jet-inflated bubbles

We examine the heating of the intra-cluster medium (ICM) of cooling flow clusters of galaxies by jet-inflated bubbles and conclude that mixing of hot…
Aug 12, 2015
Medical Physics

Reference-Based MRI

Purpose: In many clinical MRI scenarios, existing imaging information can be used to significantly shorten acquisition time or to improve Signal to N…
May 21, 2015

Angular momentum fluctuations in the convective helium shell of massi…

We find significant fluctuations of angular momentum within the convective helium shell of a pre-collapse massive star - a core-collapse supernova pr…
Aug 14, 2015
Machine Learning

Interestingly, the ETD error bounds in Corollary 1 and 2 are more conservative by a factor of square root than the error bounds for standard on-policy TD (Bertsekas & Tsitsiklis, 1996; Tsitsiklis & Van Roy, 1997). Thus, it appears that there is a pr…

Emphatic TD Bellman Operator is a Contraction

Recently, \citet{SuttonMW15} introduced the emphatic temporal differences (ETD) algorithm for off-policy evaluation in Markov decision processes. In …
Nov 08, 2010
Geometric Topology
Algebraic Geometry

Counting real curves with passage/tangency conditions

We study the following question: given a set P of 3d-2 points and an immersed curve G in the real plane R^2, all in general position, how many real r…
Jul 19, 2009
Classical Analysis and ODEs
Functional Analysis

Non-Invertible Gabor Transforms

Time-frequency analysis, such as the Gabor transform, plays an important role in many signal processing applications. The redundancy of such represen…
May 16, 2012

Heating the intra-cluster medium perpendicular to the jets axis

By simulating jet-inflated bubbles in cooling flows with the PLUTO hydrodynamic code we show that mixing of high entropy shocked jet's material with …
Jun 06, 2011
Information Theory

MMSE of "Bad" Codes

We examine codes, over the additive Gaussian noise channel, designed for reliable communication at some specific signal-to-noise ratio (SNR) and cons…
Feb 10, 2016
Machine Learning
Artificial Intelligence

Iterative Hierarchical Optimization for Misspecified Problems (IHOMP)

For complex, high-dimensional Markov Decision Processes (MDPs), it may be necessary to represent the policy with function approximation. A problem is…
Jul 28, 2015
Machine Learning
Neurons and Cognition

An Analytically Tractable Bayesian Approximation to Optimal Point P…

The process of dynamic state estimation (filtering) based on point process observations is in general intractable. Numerical sampling techniques are …
Dec 15, 2008
Mathematical Software
Numerical Analysis

Geometric scaling: a simple preconditioner for certain linear systems…

Linear systems with large differences between coefficients ("discontinuous coefficients") arise in many cases in which partial differential equations…
Jun 24, 2015
Pattern Formation and Solitons

Accelerating oscillatory fronts in a nonlinear sonic vacuum with stro…

In this Letter we describe a novel class of dynamical excitations -- accelerating oscillatory fronts in a new genre of nonlinear sonic vacua with str…
Aug 28, 2012
Combinatorics
Discrete Mathematics
Data Structures and Algorithms
Optimization and Control

Convex Integer Optimization by Constantly Many Linear Counterparts

In this article we study convex integer maximization problems with composite objective functions of the form $f(Wx)$, where $f$ is a convex function …
Feb 27, 2013
Machine Learning

Online Learning for Time Series Prediction

In this paper we address the problem of predicting a time series using the ARMA (autoregressive moving average) model, under minimal assumptions on t…
Jul 08, 2016
Fluid Dynamics

Elastic deformations driven by non-uniform lubrication flows

The ability to create dynamic deformations of micron-sized structures is relevant to a wide variety of applications such as adaptable optics, soft ro…
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