Optimizing Cooperative path-finding: A Scalable Multi-Agent RRT* with
Dynamic Potential Fields
November 16, 2019
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Computer Science
Multiagent Systems
Artificial Intelligence
Robotics
Cooperative path-finding in multi-agent systems demands scalable solutions to
navigate agents from their origins to destinations without conflict. Despite
the breadth of research, scalability remains hampered by increased
computational dema...
A Bootstrap-based Method for Testing Network Similarity
November 15, 2019
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Statistics
Methodology
Machine Learning
Methodology
Machine Learning
This paper studies the matched network inference problem, where the goal is
to determine if two networks, defined on a common set of nodes, exhibit a
specific form of stochastic similarity. Two notions of similarity are
considered: (i) equa...
On Algebraic Conditions for the Non-Vanishing of Linear Forms in Jacobi
Theta-Constants
November 15, 2019
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Mathematics
Number Theory
Elsner, Luca and Tachiya proved in 2019 that the values of the Jacobi-theta
constants θ3(mτ) and θ3(nτ) are algebraically independent
over Q for distinct integers m,n under some conditions on τ.
On th...
A1-Local Degree via Stacks
November 14, 2019
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Mathematics
Algebraic Geometry
Algebraic Topology
K-Theory and Homology
We extend results of Kass--Wickelgren to define an Euler class for a
non-orientable (or non-relatively orientable) vector bundle on a smooth scheme,
valued in the Grothendieck--Witt group of the ground field. We use a root stack
constructio...
More on Jacobi metric: Lifts, Frame dragging, and Jacobi metric sharing
November 14, 2019
Physics
Mathematics
General Relativity and Quantum Cosmology
Mathematical Physics
Mathematical Physics
In this article I discuss the Jacobi metric in various contexts such as
momentum constraint, Eisenhart lift, frame dragging effect, and Randers-Finsler
metrics that share a common Jacobi metric. First, I introduce the constraint
with relati...
Anomalous Hall Effects in Chiral Superconductors
November 14, 2019
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Physics
Superconductivity
We report theoretical results for the electronic contribution to thermal and
electrical transport for chiral superconductors belonging to even or odd-parity
E1 and E2 representations of the tetragonal and hexagonal point groups.
Chira...
Type-B Anomaly Matching and the 6D (2,0) Theory
November 13, 2019
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Physics
High Energy Physics - Theory
High Energy Physics - Theory
We study type-B conformal anomalies associated with 21-BPS
Coulomb-branch operators in 4D N=2 superconformal field theories.
When the vacuum preserves the conformal symmetry these anomalies coincide with
the two-point ...
Interval matrices: realization of ranks by rational matrices
November 13, 2019
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Mathematics
Rings and Algebras
Rings and Algebras
Let α be a p×q interval matrix with p≥q and with the
endpoints of all its entries in the set of the rational numbers. We prove that,
if α contains a rank-r real matrix with r∈{2,q−2,q−1,q},
then it...
Computation-Communication Trade-offs and Sensor Selection in Real-time
Estimation for Processing Networks
November 13, 2019
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Mathematics
Computer Science
Optimization and Control
Multiagent Systems
Recent advances in electronics are enabling substantial processing to be
performed at each node (robots, sensors) of a networked system. Local
processing enables data compression and may mitigate measurement noise, but it
is still slower co...
Gamifying the Vehicle Routing Problem with Stochastic Requests
November 13, 2019
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Computer Science
Mathematics
Statistics
Machine Learning
Optimization and Control
Machine Learning
Do you remember your first video game console? We remember ours. Decades ago,
they provided hours of entertainment. Now, we have repurposed them to solve
dynamic and stochastic optimization problems. With deep reinforcement learning
methods...