Moduli spaces of semistable pairs on projective Deligne-Mumford stacks
June 30, 2020
Mathematics
Algebraic Geometry
We generalize the construction of a moduli space of semistable pairs
parametrizing isomorphism classes of morphisms from a fixed coherent sheaf to
any sheaf with fixed Hilbert polynomial under a notion of stability to the case
of projective...
Partitioned Least Squares
June 29, 2020
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Computer Science
Statistics
Machine Learning
Machine Learning
In this paper we propose a variant of the linear least squares model allowing
practitioners to partition the input features into groups of variables that
they require to contribute similarly to the final result. The output allows
practition...
Game Comonads & Generalised Quantifiers
June 29, 2020
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Computer Science
Logic in Computer Science
Game comonads, introduced by Abramsky, Dawar and Wang and developed by
Abramsky and Shah, give an interesting categorical semantics to some
Spoiler-Duplicator games that are common in finite model theory. In particular
they expose connectio...
Any Three Longest Paths In A Connected Graph Has A Common Vertex
June 29, 2020
Mathematics
Combinatorics
A question was raised in 1995 at the British Combinatorial Conference: Do any
three longest paths in a connected graph have a vertex in common? In this
paper, it is shown that the answer to that question is yes....
Extensions of Veech groups I: A hyperbolic action
June 29, 2020
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Mathematics
Group Theory
Geometric Topology
Given a lattice Veech group in the mapping class group of a closed surface
S, this paper investigates the geometry of Γ, the associated
π1S--extension group. We prove that Γ is the fundamental group of a
bundle with a s...
Pattern Masking for Dictionary Matching
June 29, 2020
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Computer Science
Data Structures and Algorithms
In the Pattern Masking for Dictionary Matching (PMDM) problem, we are given a
dictionary D of d strings, each of length ℓ, a query string
q of length ℓ, and a positive integer z, and we are asked to compute a
sma...
Breathing K-Means
June 28, 2020
Computer Science
Statistics
Machine Learning
Machine Learning
We introduce the breathing k-means algorithm, which significantly improves
upon the widely-known greedy k-means++ algorithm, the default method for
k-means clustering in the scikit-learn package. Our approach is able to improve
solutions ob...
MgSvF: Multi-Grained Slow vs. Fast Framework for Few-Shot
Class-Incremental Learning
June 28, 2020
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Computer Science
Computer Vision and Pattern Recognition
Machine Learning
As a challenging problem, few-shot class-incremental learning (FSCIL)
continually learns a sequence of tasks, confronting the dilemma between slow
forgetting of old knowledge and fast adaptation to new knowledge. In this
paper, we concentra...
Congruences of Eisenstein series of level Γ1(N) via Dieudonn\'e
theory of formal groups
June 26, 2020
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Mathematics
Number Theory
Algebraic Geometry
Algebraic Topology
Number Theory
Algebraic Geometry
Algebraic Topology
In this paper, we give a new explanation of congruences of Eisenstein series
of level Γ1(N) and character χ. Our approach is based on Katz's
algebro-geometric explanation of p-adic congruences of normalized Eisenstein
series ...
Bayesian optimization of non-classical optomechanical correlations
June 26, 2020
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Physics
Quantum Physics
Nonclassical correlations provide a resource for many applications in quantum
technology as well as providing strong evidence that a system is indeed
operating in the quantum regime. Optomechanical systems can be arranged to
generate noncla...