A statistical study of magnetic flux emergence in solar active regions
prior to strongest flares
May 9, 2021
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Physics
Solar and Stellar Astrophysics
Using the data on magnetic field maps and continuum intensity for Solar
Cycles 23 and 24, we explored 100 active regions (ARs) that produced M5.0 or
stronger flares. We focus on the presence/absence of the emergence of magnetic
flux in thes...
Recently, several universal methods have been proposed for online convex
optimization, and attain minimax rates for multiple types of convex functions
simultaneously. However, they need to design and optimize one surrogate loss
for each typ...
Clarifying the effect of mean subtraction on Dynamic Mode Decomposition
May 8, 2021
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Mathematics
Electrical Engineering and Systems Science
Physics
Dynamical Systems
Signal Processing
Data Analysis, Statistics and Probability
Any autonomous nonlinear dynamical system can be viewed as a superposition of
infinitely many linear processes, through the so-called Koopman mode
decomposition. Its data-driven approximation- Dynamic Mode Decomposition (DMD)-
has been exte...
Construction of Sparse Suffix Trees and LCE Indexes in Optimal Time and
Space
May 8, 2021
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Computer Science
Data Structures and Algorithms
The notions of synchronizing and partitioning sets are recently introduced
variants of locally consistent parsings with great potential in
problem-solving. In this paper we propose a deterministic algorithm that
constructs for a given reado...
A new proof for the existence of rotationally symmetric gradient Ricci
solitons
May 8, 2021
Mathematics
Differential Geometry
Analysis of PDEs
We give a new proof for the existence of rotationally symmetric steady and
expanding gradient Ricci solitons in dimension n+1, 2≤n≤4, with
metric g=h(a2)da2+a2dσ for some function h where
dσ is the st...
Persistence of Heterodimensional Cycles
May 8, 2021
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Mathematics
Dynamical Systems
A heterodimensional cycle is an invariant set of a dynamical system
consisting of two hyperbolic periodic orbits with different dimensions of their
unstable manifolds and a pair of orbits that connect them. For systems which
are at least $C...
A Benchmarking Study of Quantum Algorithms for Combinatorial
Optimization
May 7, 2021
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Physics
Quantum Physics
Quantum Physics
We study the performance scaling of three quantum algorithms for
combinatorial optimization: measurement-feedback coherent Ising machines
(MFB-CIM), discrete adiabatic quantum computation (DAQC), and the D\"urr-Hoyer
algorithm for quantum m...
The s-value: evaluating stability with respect to distributional
shifts
May 7, 2021
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Statistics
Mathematics
Methodology
Statistics Theory
Machine Learning
Statistics Theory
Common statistical measures of uncertainty such as p-values and confidence
intervals quantify the uncertainty due to sampling, that is, the uncertainty
due to not observing the full population. However, sampling is not the only
source of ...
The Coreness and H-Index of Random Geometric Graphs
May 7, 2021
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Mathematics
Statistics
Statistics Theory
Probability
Statistics Theory
In network analysis, a measure of node centrality provides a scale indicating
how central a node is within a network. The coreness is a popular notion of
centrality that accounts for the maximal smallest degree of a subgraph
containing a gi...
Floer Homology: From Generalized Morse-Smale Dynamical Systems to
Forman's Combinatorial Vector Fields
May 6, 2021
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Mathematics
Computer Science
Dynamical Systems
Discrete Mathematics
Algebraic Topology
Combinatorics
Differential Geometry
Dynamical Systems
Discrete Mathematics
Algebraic Topology
Combinatorics
Differential Geometry
We construct a Floer type boundary operator for generalised Morse-Smale
dynamical systems on compact smooth manifolds by counting the number of
suitable flow lines between closed (both homoclinic and periodic) orbits and
isolated critical p...