In this article, we study the largest gaps of the classical random matrices
of CUE and GUE, and show that after rescaling, the limiting densities are given
by the Gumbel distributions....
Polynomial time algorithm for optimal stopping with fixed accuracy
July 5, 2018
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Mathematics
Computer Science
Quantitative Finance
Probability
Data Structures and Algorithms
Optimization and Control
Computational Finance
Mathematical Finance
The problem of high-dimensional path-dependent optimal stopping (OS) is
important to multiple academic communities and applications. Modern OS tasks
often have a large number of decision epochs, and complicated non-Markovian
dynamics, makin...
Deep Learning Based Sphere Decoding
July 5, 2018
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Electrical Engineering and Systems Science
Computer Science
Signal Processing
Machine Learning
In this paper, a deep learning (DL)-based sphere decoding algorithm is
proposed, where the radius of the decoding hypersphere is learned by a deep
neural network (DNN). The performance achieved by the proposed algorithm is
very close to the...
In search of higher Bochner theorem
July 4, 2018
| |
Physics
Mathematics
Mathematical Physics
High Energy Physics - Theory
Classical Analysis and ODEs
Mathematical Physics
We initiate the study of a natural generalisation of the classical
Bochner-Krall problem asking which linear ordinary differential operators
possess sequences of eigenpolynomials satisfying linear recurrence relations of
finite length; the ...
Determination of lattice functions and 2nd-order transfer matrix for
High Power Cyclotron
July 3, 2018
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Physics
Accelerator Physics
Accelerator Physics
This paper describes the development of beam dynamic simulation code for
cyclotron. Starting from a description of beam dynamics in the cyclotron,
lattice functions were determined and the solutions for the 2nd-order nonlinear
Hamiltonian w...
7x±1: Close Relative of Collatz Problem
July 2, 2018
Mathematics
Number Theory
We show an iterated function of which iterates oscillate wildly and grow at a
dizzying pace. We conjecture that the orbit of arbitrary positive integer
always returns to 1, as in the case of Collatz function. The conjecture is
supported by ...
On non-elliptic symplectic manifolds
July 1, 2018
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Mathematics
Symplectic Geometry
Differential Geometry
Let M be a closed symplectic manifold of dimension 2n with
non-ellipticity. We can define an almost K\"ahler structure on M by using the
given symplectic form. Hence, we have a \G=\pi_1(M)-invariant almost K\"ahler
structure on the ...
Conformal blocks for Galois covers of algebraic curves
June 29, 2018
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Mathematics
Physics
Group Theory
Mathematical Physics
Algebraic Geometry
Mathematical Physics
Representation Theory
We study the spaces of twisted conformal blocks attached to a Γ-curve
Σ with marked Γ-orbits and an action of Γ on a simple Lie
algebra g, where Γ is a finite group. We prove that if
Γ ...
Exploring Architectures for CNN-Based Word Spotting
June 28, 2018
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Computer Science
Computer Vision and Pattern Recognition
The goal in word spotting is to retrieve parts of document images which are
relevant with respect to a certain user-defined query. The recent past has seen
attribute-based Convolutional Neural Networks take over this field of research.
As i...
An Unsupervised Learning Classifier with Competitive Error Performance
June 25, 2018
Computer Science
Statistics
Machine Learning
Machine Learning
An unsupervised learning classification model is described. It achieves
classification error probability competitive with that of popular supervised
learning classifiers such as SVM or kNN. The model is based on the incremental
execution of...