We introduce the notion of a universal obstruction of a graph parameter with
respect to some quasi-ordering relation on graphs. Universal obstructions may
serve as a canonical obstruction characterization of the approximate behaviour
of gra...
Numerical solutions for the f(R)-Klein-Gordon system
April 7, 2023
| |
Physics
General Relativity and Quantum Cosmology
We construct a numerical relativity code based on the
Baumgarte-Shapiro-Shibata-Nakamura (BSSN) formulation for the gravitational
quadratic f(R) Starobinsky model. By removing the assumption that the
determinant of the conformal 3-metric ...
Probing Conceptual Understanding of Large Visual-Language Models
April 7, 2023
| | | | | |
Computer Science
Computer Vision and Pattern Recognition
In recent years large visual-language (V+L) models have achieved great
success in various downstream tasks. However, it is not well studied whether
these models have a conceptual grasp of the visual content. In this work we
focus on concept...
Hierarchical reinforcement learning (HRL) is a promising approach that uses
temporal abstraction to solve complex long horizon problems. However,
simultaneously learning a hierarchy of policies is unstable as it is
challenging to train high...
Nanosecond anomaly detection with decision trees and real-time
application to exotic Higgs decays
April 7, 2023
| | | | | |
Physics
High Energy Physics - Experiment
Data Analysis, Statistics and Probability
Instrumentation and Detectors
We present an interpretable implementation of the autoencoding algorithm,
used as an anomaly detector, built with a forest of deep decision trees on
FPGA, field programmable gate arrays. Scenarios at the Large Hadron Collider at
CERN are co...
Horseshoes for a class of nonuniformly expanding random dynamical
systems on the circle
April 7, 2023
| |
Mathematics
Dynamical Systems
We propose a notion of random horseshoe for one-dimensional random dynamical
systems. We prove the abundance of random horseshoes for a class of circle
endomorphisms subject to additive noise, large enough to make the Lyapunov
exponent posi...
On the generalized Hausdorff dimension of Besicovitch sets
April 7, 2023
| |
Mathematics
Classical Analysis and ODEs
Keich (1999) showed that the sharp gauge function for the generalized
Hausdorff dimension of Besicovitch sets in R2 is between r2log1/r and r2(log1/r)(loglog1/r)2+ε by refining an argument
of Bourgain (...
DualRefine: Self-Supervised Depth and Pose Estimation Through Iterative
Epipolar Sampling and Refinement Toward Equilibrium
April 7, 2023
| |
Computer Science
Computer Vision and Pattern Recognition
Self-supervised multi-frame depth estimation achieves high accuracy by
computing matching costs of pixel correspondences between adjacent frames,
injecting geometric information into the network. These pixel-correspondence
candidates are co...
InfoCTM: A Mutual Information Maximization Perspective of Cross-Lingual
Topic Modeling
April 7, 2023
| | | | |
Computer Science
Computation and Language
Cross-lingual topic models have been prevalent for cross-lingual text
analysis by revealing aligned latent topics. However, most existing methods
suffer from producing repetitive topics that hinder further analysis and
performance decline c...
Towards ab-initio nuclear theory calculations of
δC
April 7, 2023
|
Physics
Nuclear Theory
High Energy Physics - Experiment
High Energy Physics - Lattice
High Energy Physics - Phenomenology
Nuclear Experiment
We propose a new theory framework to study the isospin-symmetry breaking
correction δC in superallowed nuclear beta decays, crucial for
the precise determination of ∣Vud∣. Based on a general assumptions of the
isovector ...