Computational analysis of short-range interactions between an edge
dislocation and an array of equally-spaced identical shearable or
non-shearable precipitates
November 20, 2017
Physics
Materials Science
The interaction between dislocations and precipitates plays an important role
in the mechanical behavior of alloys. To provide more insight into the physics
of this interaction, this research analyzes short-range interactions of an edge
dis...
Dirac and Weyl Fermions -- the Only Causal Systems
November 17, 2017
Physics
Mathematics
Mathematical Physics
Mathematical Physics
Quantum Physics
Causal systems describe the localizability of relativistic quantum systems
complying with the principles of special relativity and elementary causality.
At their classification we restrict ourselves to real mass and finite spinor
systems. I...
Open Gromov-Witten theory without Obstruction
November 14, 2017
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Mathematics
Symplectic Geometry
Symplectic Geometry
Open Gromov-Witten invariants are defined as cycles of the multi-curve chain
complex, well defined up to isotopy....
Low-Energy Effective Field Theory below the Electroweak Scale: Anomalous
Dimensions
November 14, 2017
| |
Physics
High Energy Physics - Phenomenology
We compute the one-loop anomalous dimensions of the low-energy effective
Lagrangian below the electroweak scale, up to terms of dimension six. The
theory has 70 dimension-five and 3631 dimension-six Hermitian operators that
preserve baryon ...
A unified framework for hard and soft clustering with regularized
optimal transport
November 12, 2017
| | |
Computer Science
Statistics
Machine Learning
Machine Learning
In this paper, we formulate the problem of inferring a Finite Mixture Model
from discrete data as an optimal transport problem with entropic regularization
of parameter λ≥0. Our method unifies hard and soft clustering, the
Expec...
Bundle methods with quadratic cuts for deterministic and stochastic
strongly convex optimization problems
November 9, 2017
|
Mathematics
Optimization and Control
We introduce two new methods for deterministic convex optimization problems:
QCC (Quadratic Cuts for Convex optimization) and QB (Quadratic Bundle method).
We prove the complexity of these methods for composite optimization problems
which a...
Outward Sodium Current, Fine-structure Constant and Ferroelectric
Hysteresis Regimes in the Giant Squid Axon Propagating Action Potential: a
Phase Space Approach
November 9, 2017
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Quantitative Biology
Other Quantitative Biology
A phase space cable equation for the propagation of the functioning action
potential is derived. Plots of the ionic current in the recovery region reveal
the presence of two outward currents with quasilinear segments. The first one
has neve...
Optimal portfolios with anticipating information on the stochastic
interest rate
November 9, 2017
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Quantitative Finance
Mathematics
Pricing of Securities
Probability
By employing the technique of enlargement of filtrations, we demonstrate how
to incorporate information about the future trend of the stochastic interest
rate process into a financial model. By modeling the interest rate as an affine
diffus...
A logic for temporal conditionals and a solution to the Sea Battle
Puzzle
November 8, 2017
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Computer Science
Logic in Computer Science
Temporal reasoning with conditionals is more complex than both classical
temporal reasoning and reasoning with timeless conditionals, and can lead to
some rather counter-intuitive conclusions. For instance, Aristotle's famous
"Sea Battle To...
Whirling injections, surjections, and other functions between finite
sets
November 7, 2017
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Mathematics
Combinatorics
This paper analyzes a certain action called "whirling" that can be defined on
any family of functions between two finite sets equipped with a linear (or
cyclic) ordering. Many maps of interest in dynamical algebraic combinatorics,
such as r...