We verify that a large portion of the theory of complex operator spaces and
operator algebras (as represented by the 2004 book by the author and Le Merdy
for specificity) transfers to the real case. We point out some of the results
that do ...
Spectral gap of the symmetric inclusion process
March 29, 2023
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Mathematics
Physics
Probability
Mathematical Physics
Mathematical Physics
We consider the symmetric inclusion process on a general finite graph. Our
main result establishes universal upper and lower bounds for the spectral gap
of this interacting particle system in terms of the spectral gap of the random
walk on ...
Price Optimization Combining Conjoint Data and Purchase History: A
Causal Modeling Approach
March 29, 2023
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Statistics
Applications
Pricing decisions of companies require an understanding of the causal effect
of a price change on the demand. When real-life pricing experiments are
infeasible, data-driven decision-making must be based on alternative data
sources such as p...
Propagation and Fluxes of Ultra High Energy Cosmic Rays in f(R) Gravity
Theory
March 29, 2023
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Physics
High Energy Physics - Theory
General Relativity and Quantum Cosmology
We study the effect of diffusion of ultra-high energy cosmic ray (UHECR)
protons in the presence of turbulent magnetic fields in the light of the f(R)
theory of gravity. The f(R) theory of gravity is a successful modified theory
of grav...
Safe Zeroth-Order Optimization Using Quadratic Local Approximations
March 29, 2023
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Mathematics
Computer Science
Electrical Engineering and Systems Science
Optimization and Control
Systems and Control
Systems and Control
This paper addresses black-box smooth optimization problems, where the
objective and constraint functions are not explicitly known but can be queried.
The main goal of this work is to generate a sequence of feasible points
converging toward...
Elliptic curves with a rational 2-torsion point ordered by conductor and
the boundedness of average rank
March 29, 2023
Mathematics
Number Theory
In this paper we refine recent work due to A. Shankar, A. N. Shankar, and X.
Wang on counting elliptic curves by conductor to the case of elliptic curves
with a rational 2-torsion point. This family is a small family, as opposed to
the larg...
Fluctuation theorem for time-averaged work
March 29, 2023
Physics
Statistical Mechanics
There is evidence that taking the time average of the work performed by a
thermally isolated system ``transforms'' the adiabatic process into an
isothermal one. Also, such a measurement accesses the inherent quantities of
the system, which ...
4D Facial Expression Diffusion Model
March 29, 2023
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Computer Science
Computer Vision and Pattern Recognition
Facial expression generation is one of the most challenging and long-sought
aspects of character animation, with many interesting applications. The
challenging task, traditionally having relied heavily on digital craftspersons,
remains yet ...
Exploring Efficient Asymmetric Blind-Spots for Self-Supervised Denoising
in Real-World Scenarios
March 29, 2023
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Computer Science
Computer Vision and Pattern Recognition
Self-supervised denoising has attracted widespread attention due to its
ability to train without clean images. However, noise in real-world scenarios
is often spatially correlated, which causes many self-supervised algorithms
that assume pi...
Seshadri constants on some flag bundles
March 29, 2023
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Mathematics
Algebraic Geometry
Let X be a smooth complex projective curve and let E be a vector bundle
on X which is not semistable. We consider a flag bundle π:Fl(E)→X parametrizing certain flags of fibers of E. The dimensions of the
successive q...