The behavior of sequences of solutions to the Hitchin-Simpson equations
February 19, 2020
Mathematics
Differential Geometry
The Hitchin-Simpson equations are first-order non-linear equations for a pair
consisting of a connection and a Higgs field. In this paper, we study the
behavior of sequences of solutions to the Hitchin-Simpson equations on closed
K\"ahler m...
Comprehensive Taxonomies of Nature- and Bio-inspired Optimization:
Inspiration versus Algorithmic Behavior, Critical Analysis and
Recommendations (from 2020 to 2024)
February 19, 2020
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Computer Science
Artificial Intelligence
In recent years, bio-inspired optimization methods, which mimic biological
processes to solve complex problems, have gained popularity in recent
literature. The proliferation of proposals prove the growing interest in this
field. The increa...
Global-in-Time solutions of the Navier-Stokes equations
February 18, 2020
Mathematics
General Mathematics
We establish the existence of a uniformly bounded C∞ solution of
the Navier-Stokes equations on R3x[0,∞) without external
forces or boundaries for a divergence free initial condition uo∈∩mHm wh...
High-contrast ZZ interaction using superconducting qubits with
opposite-sign anharmonicity
February 18, 2020
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Physics
Quantum Physics
For building a scalable quantum processor with superconducting qubits, ZZ
interaction is of great concern because its residual has a crucial impact to
two-qubit gate fidelity. Two-qubit gates with fidelity meeting the criterion of
fault-tol...
Van der Corput lemmas for Mittag-Leffler functions. I
February 18, 2020
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Mathematics
Functional Analysis
In this paper, we study analogues of the van der Corput lemmas involving
Mittag-Leffler functions. The generalisation is that we replace the exponential
function with the Mittag-Leffler-type function, to study oscillatory type
integrals app...
Equality of critical parameters for percolation of Gaussian free field
level-sets
February 18, 2020
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Mathematics
Physics
Probability
Mathematical Physics
Mathematical Physics
We consider upper level-sets of the Gaussian free field on Zd, for
d≥3, above a given real-valued height parameter h. As h varies, this
defines a canonical percolation model with strong, algebraically decaying
correlati...
Hierarchical Correlation Clustering and Tree Preserving Embedding
February 18, 2020
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Computer Science
Statistics
Machine Learning
Machine Learning
We propose a hierarchical correlation clustering method that extends the
well-known correlation clustering to produce hierarchical clusters applicable
to both positive and negative pairwise dissimilarities. Then, in the following,
we study ...
Fluctuations in the Aztec diamonds via a space-like maximal surface in
Minkowski 3-space
February 18, 2020
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Physics
Mathematics
Mathematical Physics
Combinatorics
Mathematical Physics
Probability
We provide a new description of the scaling limit of dimer fluctuations in
homogeneous Aztec diamonds via the intrinsic conformal structure of a
space-like maximal surface in the three-dimensional Minkowski space
R2,1. This su...
Mapping the intrinsic photocurrent streamlines through micromagnetic
heterostructure devices
February 18, 2020
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Physics
Materials Science
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Like air flowing over a wing, optimizing the flow of electronic charge is
essential to the operation of nanoscale devices. Unfortunately, the delicate
interplay of charge, spin, and heat in complex devices has precluded detailed
imaging of ...
On the Similarity of Deep Learning Representations Across Didactic and
Adversarial Examples
February 17, 2020
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Computer Science
Electrical Engineering and Systems Science
Quantitative Biology
Computer Vision and Pattern Recognition
Machine Learning
Image and Video Processing
Neurons and Cognition
The increasing use of deep neural networks (DNNs) has motivated a parallel
endeavor: the design of adversaries that profit from successful
misclassifications. However, not all adversarial examples are crafted for
malicious purposes. For exa...