Submatrices with the best-bounded inverses: revisiting the hypothesis
March 13, 2023
Mathematics
Computer Science
Numerical Analysis
Numerical Analysis
The following hypothesis was put forward by Goreinov, Tyrtyshnikov and
Zamarashkin in \cite{GTZ1997}. For arbitrary real n×k matrix with
orthonormal columns a sufficiently "good" k×k submatrix exists. "Good"
in the sense o...
Multimodal Reinforcement Learning for Robots Collaborating with Humans
March 13, 2023
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Computer Science
Robotics
Robot assistants for older adults and people with disabilities need to
interact with their users in collaborative tasks. The core component of these
systems is an interaction manager whose job is to observe and assess the task,
and infer th...
Many learning agents interacting with an agent-based market model
March 13, 2023
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Quantitative Finance
Computer Science
Trading and Market Microstructure
Machine Learning
Statistical Finance
We consider the dynamics and the interactions of multiple reinforcement
learning optimal execution trading agents interacting with a reactive
Agent-Based Model (ABM) of a financial market in event time. The model
represents a market ecology...
Mitigating the Impact of Uncertain Wildfire Risk on Power Grids through
Topology Control
March 13, 2023
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Electrical Engineering and Systems Science
Computer Science
Mathematics
Systems and Control
Systems and Control
Optimization and Control
Systems and Control
Systems and Control
Optimization and Control
Wildfires pose a significant threat to the safe and reliable operations of
the electric grid. To mitigate wildfire risk, system operators resort to public
safety power shutoffs, or PSPS, that shed load for a subset of customers. As
wildfire...
Upper bounds on homogeneous fractional Gagliardo-Nirenberg-Sobolev
constants via parabolic estimates
March 13, 2023
Mathematics
Functional Analysis
Analysis of PDEs
Common proofs of the Gagliardo-Nirenberg-Sobolev (GNS) do not provide
explicit bounds on the involved constants, unless a sharp constant is being
determined. GNS inequalities naturally occur in error estimates for numerical
approximations. ...
Revisiting Class-Incremental Learning with Pre-Trained Models:
Generalizability and Adaptivity are All You Need
March 13, 2023
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Computer Science
Machine Learning
Computer Vision and Pattern Recognition
Class-incremental learning (CIL) aims to adapt to emerging new classes
without forgetting old ones. Traditional CIL models are trained from scratch to
continually acquire knowledge as data evolves. Recently, pre-training has
achieved substa...
Restricted representations of the twisted N=2 superconformal algebra
March 13, 2023
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Mathematics
Representation Theory
In this paper, we construct a large class of new simple modules over the
twisted N=2 superconformal algebra. These new simple modules
are restricted modules based on the simple
modules over certain finite-dimensional solvable Lie supe...
Braid stability for periodic orbits of area-preserving surface
diffeomorphisms
March 13, 2023
Mathematics
Dynamical Systems
Symplectic Geometry
We consider an area-preserving diffeomorphism of a compact surface, which is
assumed to be an irrational rotation near each boundary component. A finite set
of periodic orbits of the diffeomorphism gives rise to a braid in the mapping
torus...
Estimate distillable entanglement and quantum capacity by squeezing
useless entanglement
March 13, 2023
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Physics
Computer Science
Mathematics
Quantum Physics
Information Theory
Mathematical Physics
Information Theory
Mathematical Physics
Quantum Internet relies on quantum entanglement as a fundamental resource for
secure and efficient quantum communication, reshaping data transmission. In
this context, entanglement distillation emerges as a crucial process that plays
a pivo...
Tau functions from Joyce structures
March 13, 2023
Mathematics
Physics
Algebraic Geometry
High Energy Physics - Theory
Mathematical Physics
Mathematical Physics
We argued in the paper "Geometry from Donaldson-Thomas invariants" that, when
a certain sub-exponential growth property holds, the Donaldson-Thomas
invariants of a 3-Calabi-Yau triangulated category should define a geometric
structure on it...