We construct a set-theoretic coloured operad that may be thought of as a
combinatorial model for the Swiss Cheese operad. This is the relative (or Swiss
Cheese) version of the lattice path operad constructed by Batanin and Berger.
By adapti...
Scale invariance of the eta-deformed AdS5 x S5 superstring, T-duality
and modified type II equations
November 18, 2015
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Physics
High Energy Physics - Theory
We consider the ABF background underlying the eta-deformed AdS5 x S5 sigma
model. This background fails to satisfy the standard IIB supergravity equations
which indicates that the corresponding sigma model is not Weyl invariant, i.e.
does n...
Tight Logarithmic Asymptotic for the Probability of n×n Random
Matrix with Uniform Distributed ±1 Entries to be Singular
November 17, 2015
Mathematics
Probability
Combinatorics
We prove that probability Pn that n×n random matrix with uniform
distributed ±1 entries is singular satisfies asymptotic inequality Pn=n(n−1)21−n(1+o(1)) We find the asymptotic expansion of Pn...
An extension of McDiarmid's inequality
November 16, 2015
Computer Science
Mathematics
Statistics
Machine Learning
Probability
Statistics Theory
Statistics Theory
We generalize McDiarmid's inequality for functions with bounded differences
on a high probability set, using an extension argument. Those functions
concentrate around their conditional expectations. We further extend the
results to concentr...
The matryoshka doll prior: principled penalization in Bayesian selection
November 15, 2015
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Statistics
Methodology
Methodology
This paper introduces a general and principled construction of model space
priors with a focus on regression problems. The proposed formulation regards
each model as a ``local'' null hypothesis whose alternatives are the set of
models that ...
Deep Reinforcement Learning in Parameterized Action Space
November 12, 2015
|
Computer Science
Artificial Intelligence
Machine Learning
Multiagent Systems
Neural and Evolutionary Computing
Recent work has shown that deep neural networks are capable of approximating
both value functions and policies in reinforcement learning domains featuring
continuous state and action spaces. However, to the best of our knowledge no
previous...
Some Aspects of Three-Quark Potentials
November 11, 2015
Physics
High Energy Physics - Phenomenology
High Energy Physics - Lattice
High Energy Physics - Theory
Nuclear Theory
We analytically evaluate the expectation value of a baryonic Wilson loop in a
holographic model of an SU(3) pure gauge theory. We then discuss three aspects
of a static three-quark potential: an aspect of universality which concerns
propert...
The CTU Prague Relational Learning Repository
November 10, 2015
|
Computer Science
Machine Learning
Databases
The aim of the Prague Relational Learning Repository is to support machine
learning research with multi-relational data. The repository currently contains
148 SQL databases hosted on a public MySQL server located at
\url{https://relational-...
Multiplication operators on the Bergman space of bounded domains in C^d
November 5, 2015
|
Mathematics
Operator Algebras
Complex Variables
In this paper we study multiplication operators on Bergman spaces of high
dimensional bounded domains and those von Neumann algebras induced by them via
the geometry of domains and function theory of their symbols. In particular,
using loca...
Homoclinic points of symplectic partially hyperbolic systems with 2D
centre
October 20, 2015
Mathematics
Dynamical Systems
We consider a generic symplectic partially hyperbolic diffeomorphism close to
direct/skew products of symplectic Anosov diffeomorphisms with area-preserving
diffeomorphisms and prove that every hyperbolic periodic point has transverse
homoc...