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Dec 28, 2015
Analysis of PDEs

As mentioned in the introduction, the existence of the global attractor of S(t) is the main result of [CD14]. Recall that the global attractor is the unique compact subset of the phase space that is invariant and attracting (see Appendix A). By its …

Smooth attractors for weak solutions of the SQG equation with critica…

We consider the evolution of weak vanishing viscosity solutions to the critically dissipative surface quasi-geostrophic equation. Due to the possible…
Jun 15, 2017

Next we address the case where the second-player states ρxyab are not necessarily perfectly distinguishable as x varies, but are approximately distinguishable. (Thus, if Bob were given Alice’s input after the game was played and asked to guess her o…

Randomness in nonlocal games between mistrustful players

If two quantum players at a nonlocal game G achieve a superclassical score, then their measurement outcomes must be at least partially random from th…
Jul 17, 2018
Computational Complexity

We would like to thank Mark Bun and Justin Thaler for helpful discussions and feedback on an early draft of this work. We would also like to thank Harry Buhrman for bringing reference [BdW98] to our attention. R.K. would like to thank Jeongwan Haah …

Classical lower bounds from quantum upper bounds

We prove lower bounds on complexity measures, such as the approximate degree of a Boolean function and the approximate rank of a Boolean matrix, usin…
Dec 22, 2010

Non-Markovian Dynamics and Entanglement of Two-level Atoms in a Commo…

We derive the stochastic equations and consider the non-Markovian dynamics of a system of multiple two-level atoms in a common quantum field. We make…
Oct 17, 2016
Networking and Internet Architecture

Shortcuts to quantum network routing

A quantum network promises to enable long distance quantum communication, and assemble small quantum devices into a large quantum computing cluster. …
Dec 18, 2016
Mesoscale and Nanoscale Physics

Optical and magnetic measurements of gyroscopically stabilized graphe…

Using optical measurements, we demonstrate that the rotation of micron-scale graphene nanoplatelets levitated in a quadrupole ion trap in high vacuum…
Dec 21, 2013
Strongly Correlated Electrons
Mesoscale and Nanoscale Physics

One-dimensional edge state transport in a topological Kondo insulator

Topological insulators, with metallic boundary states protected against time-reversal-invariant perturbations, are a promising avenue for realizing e…
Jul 25, 2011
Information Theory

Polar codes for q-ary channels, q=2^r

We study polarization for nonbinary channels with input alphabet of size q=2^r,r=2,3,... Using Arikan's polarizing kernel H_2, we prove that the virt…
Mar 06, 2017
Computer Science and Game Theory

Fair Allocation of Indivisible Goods to Asymmetric Agents

We study fair allocation of indivisible goods to agents with unequal entitlements. Fair allocation has been the subject of many studies in both divis…
Oct 30, 2009
Information Theory

Secure Source Coding with a Helper

We consider a secure source coding problem with a rate-limited helper. In particular, Alice observes an independent and identically distributed (i.i.…
Nov 19, 2015
Applications

Automatic Region-wise Spatially Varying Coefficient Regression Model:…

Motivated by analyzing a national data base of annual air pollution and cardiovascular disease mortality rate for 3100 counties in the U.S. (areal da…
Jun 21, 2016

New Detectors to Explore the Lifetime Frontier

Long-lived particles (LLPs) are a common feature in many beyond the Standard Model theories, including supersymmetry, and are generically produced in…
Feb 13, 2018
Computational Engineering
Finance
and Science i
Neurons and Cognition
Applications

A Data-Driven Approach to Extract Connectivity Structures from Diffus…

Diffusion Tensor Imaging (DTI) is an effective tool for the analysis of structural brain connectivity in normal development and in a broad range of b…
Feb 28, 2016

On the cylindrically symmetric wormholes WhCR^e: The motion of test …

In this article we partially implement the program outlined in the previous paper of the authors [A. V. Aminova and P. I. Chumarov, Phys. Rev. D 88, …
Sep 11, 2008

Volume Effects for Pion Two-Point Functions in Constant Electric and …

We compute finite volume effects relevant for lattice QCD simulations using background fields. Focusing on constant electric and magnetic fields on a…
Nov 13, 2014

Yields and polarizations of prompt $\jpsi$ and $\psits$ production in…

We give predictions of $\jpsi$ and $\psits$ yields and polarizations in prompt production at hadron colliders based on non-relativistic QCD factoriza…
Jul 14, 2016
Information Theory

Sampling Rate Distortion

Consider a discrete memoryless multiple source with $m$ components of which $k \leq m$ possibly different sources are sampled at each time instant an…
May 03, 2013
Information Retrieval
Databases

Fast, Incremental Inverted Indexing in Main Memory for Web-Scale Co…

For text retrieval systems, the assumption that all data structures reside in main memory is increasingly common. In this context, we present a novel…
Jun 22, 2017
Information Theory
Machine Learning

Universal Sampling Rate Distortion

We examine the coordinated and universal rate-efficient sampling of a subset of correlated discrete memoryless sources followed by lossy compression …
May 21, 2017
Conferences: ICLR
Machine Learning
Computer Vision
Numerical Analysis

Stabilizing Adversarial Nets With Prediction Methods

Adversarial neural networks solve many important problems in data science, but are notoriously difficult to train. These difficulties come from the f…
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