Augmented Probability Simulation Methods for Sequential Games
October 10, 2019
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Computer Science
Statistics
Computer Science and Game Theory
Computation
We present a robust framework with computational algorithms to support
decision makers in sequential games. Our framework includes methods to solve
games with complete information, assess the robustness of such solutions and,
finally, appro...
Bubble dynamics in a Hele-Shaw channel and velocity selection without
surface tension
October 9, 2019
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Physics
Fluid Dynamics
Pattern Formation and Solitons
Inviscid bubble dynamics in a viscous fluid, moving with velocity V far
from the bubble, is considered. The Cauchy problem of recovering the bubble
evolution from its initial shape is completely solved without surface tension.
The well-po...
Predicting the next local supernova
October 9, 2019
Physics
High Energy Astrophysical Phenomena
Core collapse within blue supergiant stars, as occurred within Sk
-69∘202/Supernova 1987A, is generally attributed to a merger of two
electron-degenerate cores within a common envelope, with a merged mass in
excess of 1.4 solar. Su...
Disruption of Supernovae and would-be "Direct Collapsars"
October 9, 2019
Physics
High Energy Astrophysical Phenomena
Plasma Physics
The speed of an intensity pattern of polarization currents on a circle,
induced within a star by its rotating, magnetized core, will exceed the speed
of light for a sufficiently large star, and/or rapid rotation, and will, in
turn, generate...
Quasi Maximum Likelihood Estimation and Inference of Large Approximate
Dynamic Factor Models via the EM algorithm
October 9, 2019
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Mathematics
Economics
Statistics
Statistics Theory
Econometrics
Statistics Theory
We study estimation of large Dynamic Factor models implemented through the
Expectation Maximization (EM) algorithm, jointly with the Kalman smoother. We
prove that as both the cross-sectional dimension, n, and the sample size,
T, diverg...
Agent with Warm Start and Active Termination for Plane Localization in
3D Ultrasound
October 9, 2019
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Computer Science
Electrical Engineering and Systems Science
Machine Learning
Computer Vision and Pattern Recognition
Image and Video Processing
Standard plane localization is crucial for ultrasound (US) diagnosis. In
prenatal US, dozens of standard planes are manually acquired with a 2D probe.
It is time-consuming and operator-dependent. In comparison, 3D US containing
multiple sta...
Convergence estimates for the Magnus expansion III. Banach--Lie algebras
October 8, 2019
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Mathematics
Functional Analysis
Functional Analysis
We review and provide simplified proofs related to the Magnus expansion, and
improve convergence estimates. Observations and improvements concerning the
Baker--Campbell--Hausdorff expansion are also made. In this Part III, we
consider the B...
Convergence estimates for the Magnus expansion II. C∗-algebras
October 8, 2019
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Mathematics
Functional Analysis
Spectral Theory
Functional Analysis
Spectral Theory
We review and provide simplified proofs related to the Magnus expansion, and
improve convergence estimates. Observations and improvements concerning the
Baker--Campbell--Hausdorff expansion are also made.
In this Part II, we consider the ...
A contextual analysis of the early work of Andrzej Trautman and Ivor
Robinson on equations of motion and gravitational radiation
October 8, 2019
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Physics
History and Philosophy of Physics
General Relativity and Quantum Cosmology
In a series of papers published in the course of his dissertation work in the
mid 1950's, Andrzej Trautman drew upon the slow motion approximation developed
by his advisor Infeld, the general covariance based strong conservation laws
enunci...
Quantum optimal transport for approximately finite-dimensional
C∗-algebras
October 8, 2019
Mathematics
Operator Algebras
Functional Analysis
Quantum Algebra
We introduce quantum optimal transport of states on tracial
AF-C∗-algebras to study non-spatial transport of quantum information, and
view it as the pointwise case of a general parametrised one. We define quantum
optimal transport dist...