Lyashko-Looijenga morphisms and primitive factorizations of the Coxeter
element
August 30, 2018
Mathematics
Combinatorics
Algebraic Geometry
In a seminal work, Bessis gave a geometric interpretation of the noncrossing
lattice NC(W) associated to a well-generated complex reflection group W.
Chief component of this was the trivialization theorem, a fundamental
correspondence b...
An electrical engineering perspective on naturality in computational
physics
August 30, 2018
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Mathematics
Computer Science
Physics
Numerical Analysis
Numerical Analysis
Category Theory
Computational Physics
We look at computational physics from an electrical engineering perspective
and suggest that several concepts of mathematics, not so well-established in
computational physics literature, present themselves as opportunities in the
field. We ...
Optimal Instrument Selection using Bayesian Model Averaging for Model
Implied Instrumental Variable Two Stage Least Squares Estimators
August 30, 2018
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Statistics
Methodology
Model-Implied Instrumental Variable Two-Stage Least Squares (MIIV-2SLS) is a
limited information, equation-by-equation, non-iterative estimator for latent
variable models. Associated with this estimator are equation specific tests of
model ...
Non-commutative manifolds, the free square root and symmetric functions
in two non-commuting variables
August 30, 2018
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Mathematics
Complex Variables
The richly developed theory of complex manifolds plays important roles in our
understanding of holomorphic functions in several complex variables. It is
natural to consider manifolds that will play similar roles in the theory of
holomorphic...
Hard Non-Monotonic Attention for Character-Level Transduction
August 29, 2018
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Computer Science
Computation and Language
Character-level string-to-string transduction is an important component of
various NLP tasks. The goal is to map an input string to an output string,
where the strings may be of different lengths and have characters taken from
different alp...
The Weyl law for algebraic tori
August 29, 2018
Mathematics
Representation Theory
Number Theory
We give an asymptotic evaluation for the number of automorphic characters of
an algebraic torus T with bounded analytic conductor. The analytic conductor
which we use is defined via the local Langlands correspondence for tori by
choosing ...
The Undirected Optical Indices of Trees
August 28, 2018
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Mathematics
Combinatorics
Combinatorics
For a connected graph G, an instance I is a set of pairs of vertices and
a corresponding routing R is a set of paths specified for all vertex-pairs in
I. Let RI be the collection of all routings with respect to
I. Th...
A Discriminative Latent-Variable Model for Bilingual Lexicon Induction
August 28, 2018
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Computer Science
Statistics
Computation and Language
Machine Learning
Machine Learning
We introduce a novel discriminative latent variable model for bilingual
lexicon induction. Our model combines the bipartite matching dictionary prior
of Haghighi et al. (2008) with a representation-based approach (Artetxe et al.,
2017). To ...
Combinatorics of Borel Ideals
August 27, 2018
Mathematics
Logic
In this work, I investigate several combinatorial properties of Borel (or
co-analytic) ideals on countable sets. I extend a theorem presented in M.
Hru\v{s}\'{a}k, D. Meza-Alc\'antara, E. Th\"ummel, and C. Uzc\'ategui,
\emph{Ramsey Type Pro...
A Dichotomous Analysis of Unemployment Benefits
August 26, 2018
Quantitative Finance
General Finance
Using equal employment opportunity as a fairness hypothesis, real-time
balanced-budget rule as a constraint, and policy stability as an objective, we
derive a scientific formula for taxation policy and formulate a fair allocation
for unempl...