We propose learning a depth covariance function with applications to
geometric vision tasks. Given RGB images as input, the covariance function can
be flexibly used to define priors over depth functions, predictive
distributions given obser...
The CMS di-photon excess at 95 GeV in view of the LHC Run 2 results
March 21, 2023
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Physics
High Energy Physics - Phenomenology
The CMS collaboration has recently reported the results of a low-mass
Higgs-boson search in the di-photon final state based on the full Run 2 data
set with refined analysis techniques. The new results show an excess of events
at a mass of a...
Notions of enriched purity
March 21, 2023
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Mathematics
Category Theory
We introduce the enriched notions of purity depending on the left class
E of a factorization system on the base V of enrichment.
The ordinary purity is given by the class of surjective mappings in the
category of sets....
Generalized regular representations of big wreath products
March 21, 2023
Mathematics
Representation Theory
Combinatorics
Probability
Let G be a finite group with k conjugacy classes, and S(∞) be the
infinite symmetric group, i.e. the group of finite permutations of
{1,2,3,…}. Then the wreath product G∞=G∼S(∞) of G with ...
Convergence of variational Monte Carlo simulation and scale-invariant
pre-training
March 21, 2023
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Physics
Computer Science
Computational Physics
Machine Learning
We provide theoretical convergence bounds for the variational Monte Carlo
(VMC) method as applied to optimize neural network wave functions for the
electronic structure problem. We study both the energy minimization phase and
the supervised...
CELLO: Co-designing Schedule and Hybrid Implicit/Explicit Buffer for
Complex Tensor Reuse
March 20, 2023
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Computer Science
Distributed, Parallel, and Cluster Computing
Hardware Architecture
Distributed, Parallel, and Cluster Computing
Hardware Architecture
Tensor algebra accelerators have been gaining popularity for running
high-performance computing (HPC) workloads. Identifying optimal schedules for
individual tensor operations and designing hardware to run these schedules is
an active area ...
Lattices of acyclic pipe dreams
March 20, 2023
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Mathematics
Combinatorics
Combinatorics
We show that for any permutation ω, the increasing flip graph on
acyclic pipe dreams with exiting permutation ω is a lattice quotient of
the interval [e,ω] of the weak order. We then discuss conjectural
generalizations ...
Architecture, Dataset and Model-Scale Agnostic Data-free Meta-Learning
March 20, 2023
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Computer Science
Machine Learning
Artificial Intelligence
Computer Vision and Pattern Recognition
Machine Learning
Artificial Intelligence
Computer Vision and Pattern Recognition
The goal of data-free meta-learning is to learn useful prior knowledge from a
collection of pre-trained models without accessing their training data.
However, existing works only solve the problem in parameter space, which (i)
ignore the fr...
An exterior calculus framework for polytopal methods
March 20, 2023
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Mathematics
Computer Science
Numerical Analysis
Numerical Analysis
Numerical Analysis
Numerical Analysis
We develop in this work the first polytopal complexes of differential forms.
These complexes, inspired by the Discrete De Rham and the Virtual Element
approaches, are discrete versions of the de Rham complex of differential forms
built on...
Bounded twin-width graphs are polynomially χ-bounded
March 20, 2023
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Computer Science
Mathematics
Discrete Mathematics
Combinatorics
Discrete Mathematics
Combinatorics
We show that every graph with twin-width t has chromatic number O(ωkt) for some integer kt, where ω denotes the clique number. This
extends a quasi-polynomial bound from Pilipczuk and Soko{\l}owski and
generalizes a ...