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Jun 16, 2016
Algebraic Geometry

The computations below were verified symbolically with Macaulay2 [GS]. Code is available on the arXiv as an ancillary file. For speed of computation we work over the finite field F5, explaining at the end of the section how to lift to characteristic…

Cubic fourfolds fibered in sextic del Pezzo surfaces

We exhibit new examples of rational cubic fourfolds, parametrized by a countably infinite union of codimension-two subvarieties in the moduli space. …
Nov 04, 2011
Algebraic Geometry

From now on, we assume k is a finite field of odd characteristic and B≃P1. We retain the notation of Sections 3 and 4, so X→P1 is a quadric surface fibration with square-free discriminant of degree Δ=2g+2. Let C be the discriminant curve and F→C the…

Spaces of sections of quadric surface fibrations over curves

We consider quadric surface fibrations over curves, defined over algebraically closed and finite fields. Our goal is to understand, in geometric term…
Jun 16, 2014
Machine Learning
Computer Vision

This paper proposes a non-convex multi-task feature learning formulation with an adaptive threshold parameter and introduces a corresponding MSMTFL-AT algorithm. The MSMTFL-AT is a combination of an adaptive threshold learning via “first significant…

Multi-stage Multi-task feature learning via adaptive threshold

Multi-task feature learning aims to identity the shared features among tasks to improve generalization. It has been shown that by minimizing non-conv…
Apr 14, 2014
Applications

A hierarchical Bayesian model for inference of copy number variants a…

A number of statistical models have been successfully developed for the analysis of high-throughput data from a single source, but few methods are av…
Mar 24, 2017
Machine Learning
Computation and Language

Data-Mining Textual Responses to Uncover Misconception Patterns

An important, yet largely unstudied, problem in student data analysis is to detect misconceptions from students' responses to open-response questions…
Jan 26, 2019
Optimization and Control

Generalizing Performance Bounds for the Greedy Algorithm: Approximate…

The greedy algorithm is perhaps the simplest heuristic in combinatorial optimization. When maximizing a nonnegative, increasing, submodular function,…
Jun 16, 2016
Information Theory

Large Antenna Analysis of Multi-Cell Full-Duplex Networks

We study a multi-cell multi-user MIMO full-duplex network, where each base station (BS) has multiple antennas with full-duplex capability supporting …
Apr 19, 2014
Strongly Correlated Electrons

Frustration and Multicriticality in the Antiferromagnetic Spin-1 Chain

We study the spin $S=1$ Heisenberg chain, with nearest neighbor, next nearest neighbor ($\alpha$) and biquadratic ($\beta$) interactions using a comb…
Aug 03, 2016
Information Theory

Low-Dimensional Shaping for High-Dimensional Lattice Codes

We propose two low-complexity lattice code constructions that have competitive coding and shaping gains. The first construction, named systematic Vor…
Feb 20, 2019
Information Theory

Balance Queueing and Retransmission: Latency-Optimal Massive MIMO Des…

One fundamental challenge in 5G URLLC is how to optimize massive MIMO communication systems for achieving both low latency and high reliability. A re…
Dec 21, 2012
Information Theory

Distributed Full-duplex via Wireless Side Channels: Bounds and Protoc…

In this paper, we study a three-node full-duplex network, where a base station is engaged in simultaneous up- and downlink communication in the same …
Jun 29, 2017
Numerical Analysis

An asymptotic preserving scheme for kinetic models with singular limit

We propose a new class of asymptotic preserving schemes to solve kinetic equations with mono-kinetic singular limit. The main idea to deal with the s…
May 30, 2018
Computer Vision
Machine Learning
Image and Video Processing

Deep Mesh Projectors for Inverse Problems

We develop a new learning-based approach to ill-posed inverse problems. Instead of directly learning the complex mapping from the measured data to th…
Jun 16, 2011
Methodology

Variable Selection for Nonparametric Gaussian Process Priors: Models …

This paper presents a unified treatment of Gaussian process models that extends to data from the exponential dispersion family and to survival data. …
Jan 12, 2018
Superconductivity
Strongly Correlated Electrons

Spin-isotropic continuum of spin excitations in antiferromagnetically…

Unconventional superconductivity typically emerges in the presence of quasi-degenerate ground states, and the associated intense fluctuations are lik…
Jul 03, 2011
Information Theory

Stable Restoration and Separation of Approximately Sparse Signals

This paper develops new theory and algorithms to recover signals that are approximately sparse in some general dictionary (i.e., a basis, frame, or o…
Sep 04, 2018
Atmospheric and Oceanic Physics
Fluid Dynamics

Quantifying the annular mode dynamics in an idealized atmosphere

The linear response function (LRF) of an idealized GCM, the dry dynamical core with Held-Suarez physics, is used to accurately compute how eddy momen…
Feb 14, 2016
Quantum Gases
Mesoscale and Nanoscale Physics

Dicke Superradiance in Solids

Recent advances in optical studies of condensed matter have led to the emergence of phenomena that have conventionally been studied in the realm of q…
May 25, 2017
Programming Languages

Data-Driven Program Completion

We introduce program splicing, a programming methodology that aims to automate the commonly used workflow of copying, pasting, and modifying code ava…
Jan 07, 2011
Applications

A Bayesian graphical modeling approach to microRNA regulatory network…

It has been estimated that about 30% of the genes in the human genome are regulated by microRNAs (miRNAs). These are short RNA sequences that can dow…
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