We introduce a novel commutative C*-algebra CR(X) of functions
on a symplectic vector space (X,σ) admitting a complex structure, along
with a strict deformation quantization that maps a dense subalgebra of
$C_\mathcal{R}...
Elements of Sequential Monte Carlo
March 12, 2019
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Statistics
Computer Science
Machine Learning
Machine Learning
Computation
Machine Learning
Machine Learning
Computation
A core problem in statistics and probabilistic machine learning is to compute
probability distributions and expectations. This is the fundamental problem of
Bayesian statistics and machine learning, which frames all inference as
expectation...
Flexible Clustering with a Sparse Mixture of Generalized Hyperbolic
Distributions
March 12, 2019
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Statistics
Methodology
Machine Learning
Robust clustering of high-dimensional data is an important topic because
clusters in real datasets are often heavy-tailed and/or asymmetric. Traditional
approaches to model-based clustering often fail for high dimensional data,
e.g., due to...
Fitting Heterogeneous Lanchester Models on the Kursk Campaign
March 12, 2019
Statistics
Applications
The battle of Kursk between Soviet and German is known to be the biggest tank
battle in the history. The present paper uses the tank and artillery data from
the Kursk database for fitting both forms of homogeneous and heterogeneous
Lanchest...
From interpretability to inference: an estimation framework for
universal approximators
March 11, 2019
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Statistics
Computer Science
Economics
Machine Learning
Machine Learning
Econometrics
Machine Learning
Machine Learning
Econometrics
We present a novel framework for estimation and inference for the broad class
of universal approximators. Estimation is based on the decomposition of model
predictions into Shapley values. Inference relies on analyzing the bias and
variance...
A hybridizable discontinuous Galerkin method for the indefinite
time-harmonic Maxwell equations
March 11, 2019
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Mathematics
Computer Science
Numerical Analysis
Numerical Analysis
Numerical Analysis
Numerical Analysis
In this paper, we aim to develop a hybridizable discontinuous Galerkin (HDG)
method for the indefinite time-harmonic Maxwell equations with the perfectly
conducting boundary in the three-dimensional space. First, we derive the
wavenumber ex...
Picard groups, pull back and class groups
March 11, 2019
|
Mathematics
Algebraic Geometry
Number Theory
Let S be a certain affine algebraic surface over Q such that it
admits a regular map to A2/Q. We show that any non-trivial
torsion line bundle in the relative Picard group
Pic0(S/A2)...
Polyhedral products and features of their homotopy theory
March 10, 2019
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Mathematics
Algebraic Topology
Commutative Algebra
Combinatorics
History and Overview
A polyhedral product is a natural subspace of a Cartesian product that is
specified by a simplicial complex. The modern formalism arose as a
generalization of the spaces known as moment-angle complexes which were
developed within the nascen...
The twisted second moment of modular half integral weight L--functions
March 8, 2019
|
Mathematics
Number Theory
Given a half-integral weight holomorphic Kohnen newform f on Γ0(4),
we prove an asymptotic formula for large primes p with power saving error
term for \begin{equation*} \sideset{}{^*} \sum_{\chi \hspace{-0.15cm} \pmod{p}}
| L(1/...
Ordinary and Prophet Planning under Uncertainty in Bernoulli Congestion
Games
March 8, 2019
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Computer Science
Mathematics
Computer Science and Game Theory
Probability
We consider an atomic congestion game in which each player i participates
in the game with an exogenous and known probability pi∈(0,1],
independently of everybody else, or stays out and incurs no cost. We compute
the parameterized ...