A squared smoothing Newton method for semidefinite programming
March 10, 2023
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Mathematics
Optimization and Control
This paper proposes a squared smoothing Newton method via the Huber smoothing
function for solving semidefinite programming problems (SDPs). We first study
the fundamental properties of the matrix-valued mapping defined upon the Huber
funct...
The integral Hodge polygon for p-divisible groups with endomorphism
structure
March 10, 2023
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Mathematics
Number Theory
Algebraic Geometry
Let p be a prime number, let OF​ be the ring of integers of a
finite field extension F of Qp​ and let OK​ be a
complete valuation ring of rank 1 and mixed characteristic (0,p). We
introduce and stu...
I point out that Gross-Neveu theory with SO(3) isospin in three spacetime
dimensions -- proposed recently, for instance, as an effective description of
the N\'eel transition in certain spin-orbital liquids -- also hosts quantum
criticality ...
Uncovering Challenges of Solving the Continuous Gromov-Wasserstein
Problem
March 10, 2023
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Computer Science
Machine Learning
Recently, the Gromov-Wasserstein Optimal Transport (GWOT) problem has
attracted the special attention of the ML community. In this problem, given two
distributions supported on two (possibly different) spaces, one has to find the
most isome...
New Results on Edge-coloring and Total-coloring of Split Graphs
March 10, 2023
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Mathematics
Computer Science
Combinatorics
Discrete Mathematics
A split graph is a graph whose vertex set can be partitioned into a clique
and an independent set. A connected graph G is said to be t-admissible if
admits a special spanning tree in which the distance between any two adjacent
vertices ...
Accounting for multiplicity in machine learning benchmark performance
March 10, 2023
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Statistics
Computer Science
Methodology
Machine Learning
Machine learning methods are commonly evaluated and compared by their
performance on data sets from public repositories. This allows for multiple
methods, oftentimes several thousands, to be evaluated under identical
conditions and across t...
CHGNN: A Semi-Supervised Contrastive Hypergraph Learning Network
March 10, 2023
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Computer Science
Machine Learning
Artificial Intelligence
Hypergraphs can model higher-order relationships among data objects that are
found in applications such as social networks and bioinformatics. However,
recent studies on hypergraph learning that extend graph convolutional networks
to hyperg...
Magnetic order in nanoscale gyroid networks
March 10, 2023
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Physics
Mesoscale and Nanoscale Physics
Three-dimensional magnetic metamaterials feature interesting phenomena that
arise from a delicate interplay of material properties, local anisotropy,
curvature, and connectivity. A particularly interesting magnetic lattice that
combines the...
Radiation and Reaction at One Loop
March 10, 2023
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Physics
High Energy Physics - Theory
General Relativity and Quantum Cosmology
We study classical radiation fields at next-to-leading order using the
methods of scattering amplitudes. The fields of interest to us are sourced when
two massive, point-like objects scatter inelastically, and can be computed from
one-loop ...
Localization of Spinor Fields in Higher-Dimensional Braneworlds
March 10, 2023
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Physics
High Energy Physics - Theory
General Relativity and Quantum Cosmology
This study investigates the localization of spinor fields in braneworld
models in six or higher dimensions. We study the relationship between fermions
in spacetimes of 2n+2 and 2n dimensions. In conformally flat
extra-dimensional spacet...