Abelian envelopes of exact categories and highest weight categories
December 31, 2020
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Mathematics
Category Theory
Representation Theory
We define admissible and weakly admissible subcategories in exact categories
and prove that the former induce semi-orthogonal decompositions on the derived
categories. We develop the theory of thin exact categories, an exact-category
analog...
On the number of even latin squares of even order
December 30, 2020
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Mathematics
Computer Science
Combinatorics
Discrete Mathematics
Combinatorics
Discrete Mathematics
We recall the Alon-Tarsi conjecture on the number of even latin squares. We
introduce a map which switches the parity of a latin square under certain
requirements. An example is included....
Discontinuous Galerkin methods for the Laplace-Beltrami operator on
point cloud
December 30, 2020
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Mathematics
Computer Science
Numerical Analysis
Numerical Analysis
Numerical Analysis
Numerical Analysis
This paper is dedicated to the development of numerical analysis for
high-order methods solving partial differential equations on scattered point
clouds. We build a novel geometric error analysis framework by estimating the
error in the app...
Enhancing Sindhi Word Segmentation using Subword Representation Learning
and Position-aware Self-attention
December 30, 2020
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Computer Science
Computation and Language
Machine Learning
Sindhi word segmentation is a challenging task due to space omission and
insertion issues. The Sindhi language itself adds to this complexity. It's
cursive and consists of characters with inherent joining and non-joining
properties, indepen...
Gated Ensemble of Spatio-temporal Mixture of Experts for Multi-task
Learning in Ride-hailing System
December 30, 2020
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Computer Science
Machine Learning
Designing spatio-temporal forecasting models separately in a task-wise and
city-wise manner poses a burden for the expanding transportation network
companies. Therefore, a multi-task learning architecture is proposed in this
study by develo...
Behaviors of Ca II K line in A-type stars
December 30, 2020
Physics
Solar and Stellar Astrophysics
A synthetic spectrum-fitting analysis was applied to the Ca II line at
3933.68 A for 122 A-type stars (7000
Exact categories of topological vector spaces with linear topology
December 30, 2020
Mathematics
Category Theory
General Topology
We explain why the naive definition of a natural exact category structure on
complete, separated topological vector spaces with linear topology fails. In
particular, contrary to arXiv:0711.2527, the category of such topological
vector space...
Differential transcendence of Bell numbers and relatives: a Galois
theoretic approach
December 30, 2020
| |
Mathematics
Number Theory
Classical Analysis and ODEs
Combinatorics
In 2003 Klazar proved that the ordinary generating function of the sequence
of Bell numbers is differentially transcendental over the field
C({t}) of meromorphic functions at 0. We show that Klazar's
result is an instance of ...
Adversarial Estimation of Riesz Representers
December 30, 2020
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Economics
Computer Science
Statistics
Econometrics
Machine Learning
Machine Learning
Many causal parameters are linear functionals of an underlying regression.
The Riesz representer is a key component in the asymptotic variance of a
semiparametrically estimated linear functional. We propose an adversarial
framework to estim...
Foundations of geometric approximate group theory
December 30, 2020
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Mathematics
Group Theory
We develop the foundations of a geometric theory of countably-infinite
approximate groups, extending work of Bj\"orklund and the second-named author.
Our theory is based on the notion of a quasi-isometric quasi-action (qiqac) of
an approxim...