We introduce the notion of a Bredon-style equivariant coarse homology theory.
We show that such a Bredon-style equivariant coarse homology theory satisfies
localization theorems and that a general equivariant coarse homology theory can
be a...
Lorentzian polynomials
February 10, 2019
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Mathematics
Combinatorics
Algebraic Geometry
Probability
We study the class of Lorentzian polynomials. The class contains homogeneous
stable polynomials as well as volume polynomials of convex bodies and
projective varieties. We prove that the Hessian of a nonzero Lorentzian
polynomial has exactl...
Differential Similarity in Higher Dimensional Spaces: Theory and
Applications
February 10, 2019
Computer Science
Statistics
Machine Learning
Machine Learning
This paper presents an extension and an elaboration of the theory of
differential similarity, which was originally proposed in arXiv:1401.2411
[cs.LG]. The goal is to develop an algorithm for clustering and coding that
combines a geometric ...
NeurAll: Towards a Unified Visual Perception Model for Automated Driving
February 10, 2019
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Computer Science
Statistics
Computer Vision and Pattern Recognition
Machine Learning
Robotics
Machine Learning
Convolutional Neural Networks (CNNs) are successfully used for the important
automotive visual perception tasks including object recognition, motion and
depth estimation, visual SLAM, etc. However, these tasks are typically
independently ex...
Local bi-Lipschitz classification of semialgebraic surfaces
February 6, 2019
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Mathematics
Geometric Topology
We provide bi-Lipschitz invariants for finitely determined map germs f:(Kn,0)→(Kp,0), where K=R or C. The aim of the paper is to provide partial answers to the
following question...
Restriction of p-modular representations of U(2,1) to a Borel
subgroup
February 5, 2019
Mathematics
Representation Theory
Let G be the unramified unitary group U(2,1)(E/F) defined over a
non-archimedean local field F of odd residue characteristic p, and B be
the standard Borel subgroup of G. In this note, we study the problem of the
restriction of...
Bayesian views of generalized additive modelling
February 4, 2019
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Statistics
Methodology
Methodology
Generalized additive models (GAMs) are a commonly used, flexible framework
applied to many problems in statistical ecology. GAMs are often considered to
be a purely frequentist framework (`generalized linear models with wiggly
bits'), howev...
Higher symplectic capacities
February 4, 2019
Mathematics
Physics
Symplectic Geometry
Mathematical Physics
Mathematical Physics
We construct new families of symplectic capacities indexed by certain
symmetric polynomials, defined using rational symplectic field theory. In
particular, we introduce a sequence of capacities based on an L-infinity
structure on linearized...
A Session Type System for Asynchronous Unreliable Broadcast
Communication
February 4, 2019
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Computer Science
Logic in Computer Science
Formal Languages and Automata Theory
Session types are formal specifications of communication protocols, allowing
protocol implementations to be verified by typechecking. Up to now, session
type disciplines have assumed that the communication medium is reliable, with
no loss o...
On Solving Reachability in Grid Digraphs using a Psuedoseparator
February 1, 2019
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Computer Science
Computational Complexity
Data Structures and Algorithms
Computational Complexity
Data Structures and Algorithms
The reachability problem asks to decide if there exists a path from one
vertex to another in a digraph. In a grid digraph, the vertices are the points
of a two-dimensional square grid, and an edge can occur between a vertex and
its immediat...