Let k be a commutative ring with global dimension zero. We show
that we can rigidify homotopy coherent comodules in connective modules over the
Eilenberg-Mac Lane spectrum of k. That is, the ∞-category of
homoto...
Algorithmically Optimal Outer Measures
June 15, 2020
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Computer Science
Mathematics
Computational Complexity
Classical Analysis and ODEs
Computational Complexity
Classical Analysis and ODEs
We investigate the relationship between algorithmic fractal dimensions and
the classical local fractal dimensions of outer measures in Euclidean spaces.
We introduce global and local optimality conditions for lower semicomputable
outer meas...
AutoGAN-Distiller: Searching to Compress Generative Adversarial Networks
June 15, 2020
| | | | | | | | | | and others
Computer Science
Electrical Engineering and Systems Science
Computer Vision and Pattern Recognition
Machine Learning
Image and Video Processing
Computer Vision and Pattern Recognition
Machine Learning
Image and Video Processing
The compression of Generative Adversarial Networks (GANs) has lately drawn
attention, due to the increasing demand for deploying GANs into mobile devices
for numerous applications such as image translation, enhancement and editing.
However,...
A Cr-connecting lemma for Lorenz attractors and its application on
the space of ergodic measures
June 15, 2020
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Mathematics
Dynamical Systems
For every r∈N≥2∪{∞}, we prove a
Cr-connecting lemma for Lorenz attractors. To be precise, for a Lorenz
attractor of a 3-dimensional Cr (r≥2) vector field, a heteroclinic
orbit associated to the si...
A Matrix Generalization of the Hardy-Littlewood-P\'olya Rearrangement
Inequality and Its Applications
June 15, 2020
Mathematics
Functional Analysis
We prove a generalization of the Hardy-Littlewood-P\'olya rearrangement
inequality to positive definite matrices. The inequality can be seen as a
commutation principle in the sense of Iusem and Seeger. An important instrument
in the proof i...
Structure by Architecture: Structured Representations without
Regularization
June 14, 2020
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Statistics
Computer Science
Machine Learning
Computer Vision and Pattern Recognition
Machine Learning
We study the problem of self-supervised structured representation learning
using autoencoders for downstream tasks such as generative modeling. Unlike
most methods which rely on matching an arbitrary, relatively unstructured,
prior distribu...
Taut foliations, left-orders, and pseudo-Anosov mapping tori
June 13, 2020
Mathematics
Geometric Topology
For a large class of 3-manifolds with taut foliations, we construct an action
of π1(M) on R by orientation preserving homeomorphisms which
captures the transverse geometry of the leaves. This action is complementary to
Thurs...
Synthetic Interventions
June 13, 2020
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Economics
Computer Science
Statistics
Econometrics
Machine Learning
Machine Learning
The synthetic controls (SC) methodology is a prominent tool for policy
evaluation in panel data applications. Researchers commonly justify the SC
framework with a low-rank matrix factor model that assumes the potential
outcomes are describe...
Variance-Reduced Accelerated First-order Methods: Central Limit Theorems
and Confidence Statements
June 13, 2020
|
Mathematics
Optimization and Control
In this paper, we study a stochastic strongly convex optimization problem and
propose three classes of variable sample-size stochastic first-order methods
including the standard stochastic gradient descent method, its accelerated
variant, a...
Search for X/Z-shaped radio sources from TGSS ADR 1
June 12, 2020
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Physics
Astrophysics of Galaxies
A small sub-class of radio galaxies that exhibit a pair of secondary low
surface brightness radio lobes oriented at an angle to the primary high surface
brightness lobes are known as X-shaped radio galaxies (XRGs). In cases, it is
seen that...