On the Reduction of Variance and Overestimation of Deep Q-Learning
October 14, 2019
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Computer Science
Statistics
Machine Learning
Machine Learning
The breakthrough of deep Q-Learning on different types of environments
revolutionized the algorithmic design of Reinforcement Learning to introduce
more stable and robust algorithms, to that end many extensions to deep
Q-Learning algorithm ...
Weakly maximal subgroups of branch groups
October 14, 2019
Mathematics
Group Theory
Let G be a branch group acting by automorphisms on a rooted tree T.
Stabilizers of infinite rays in T are examples of weakly maximal subgroups of
G (subgroups that are maximal among subgroups of infinite index), but in
general they ...
Large Deviations for Stochastic Differential Equations Driven by
Semimartingales
October 13, 2019
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Mathematics
Probability
Dynamical Systems
We prove a large deviation principle for stochastic differential equations
driven by semimartingales, with additive controls. Conditions are given in
terms of characteristics of driven semimartingales, so that if the
noise-control pairs sat...
The Goldie Equation: III. Homomorphisms from Functional Equations
October 13, 2019
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Mathematics
Classical Analysis and ODEs
This is the second of three sequels to arXiv1407.4089 -- the third of the
resulting quartet -- concerning the real-valued continuous solutions of the
multivariate Goldie functional equation (GFE) below of Levi-Civita type.
Following on from...
Homomorphisms from Functional Equations: The Goldie Equation, II
October 13, 2019
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Mathematics
Classical Analysis and ODEs
In this sequel to arXiv1407.4089 by the second author, we extend to
multi-dimensional (or infinite-dimensional) settings the Goldie equation
arising in the general regular variation of `General regular variation, Popa
groups and quantifier ...
Continuum limit for discrete NLS with memory effect
October 12, 2019
Mathematics
Computer Science
Analysis of PDEs
Numerical Analysis
Numerical Analysis
We consider a discrete nonlinear Schr\"odinger equation with long-range
interactions and a memory effect on the infinite lattice hZ with mesh-size
h>0. Such models are common in the study of charge and energy transport in
biomolecules....
The supermoduli space of genus zero SUSY curves with Ramond punctures
October 12, 2019
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Mathematics
Physics
Algebraic Geometry
High Energy Physics - Theory
Quantum Algebra
We give an explicit quotient construction of the supermoduli space
M0,nR of genus zero super Riemann surfaces with nR≥4
Ramond punctures and prove it is a Deligne-Mumford superstack. We also make an
explicit quotien...
Statistical Linear Models in Virus Genomic Alignment-free
Classification: Application to Hepatitis C Viruses
October 11, 2019
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Computer Science
Quantitative Biology
Statistics
Machine Learning
Genomics
Machine Learning
Viral sequence classification is an important task in pathogen detection,
epidemiological surveys and evolutionary studies. Statistical learning methods
are widely used to classify and identify viral sequences in samples from
environments. ...
Existence of Infinite Product Measures
October 10, 2019
Mathematics
Functional Analysis
Probability
A construction of product measures is given for an arbitrary sequence of
measure spaces via outer measure techniques without imposing any condition on
the underlying measure spaces. This result generalises the ones given up to
date....
FetusMap: Fetal Pose Estimation in 3D Ultrasound
October 10, 2019
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Electrical Engineering and Systems Science
Computer Science
Image and Video Processing
Machine Learning
Computer Vision and Pattern Recognition
The 3D ultrasound (US) entrance inspires a multitude of automated prenatal
examinations. However, studies about the structuralized description of the
whole fetus in 3D US are still rare. In this paper, we propose to estimate the
3D pose of ...