Schatten Class Estimates for Paraproducts in Multi-parameter setting and
applications
March 27, 2023
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Mathematics
Functional Analysis
Functional Analysis
Let Πb​ be a bounded n parameter paraproduct with symbol b. We
demonstrate that this operator is in the Schatten class Sp, 0<p<∞, if
the symbol is in the n parameter Besov space Bp​. Our result covers both
the dyad...
Decay and non-decay for the massless Vlasov equation on subextremal and
extremal Reissner-Nordstr\"om black holes
March 27, 2023
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Physics
Mathematics
General Relativity and Quantum Cosmology
Mathematical Physics
Analysis of PDEs
Differential Geometry
Mathematical Physics
General Relativity and Quantum Cosmology
Mathematical Physics
Analysis of PDEs
Differential Geometry
Mathematical Physics
We study the massless Vlasov equation on the exterior of the subextremal and
extremal Reissner-Nordstr\"om spacetimes. We prove that moments decay at an
exponential rate in the subextremal case and at a polynomial rate in the
extremal case....
On CNF Conversion for SAT and SMT Enumeration
March 27, 2023
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Computer Science
Logic in Computer Science
Modern SAT and SMT solvers are designed to handle problems expressed in
Conjunctive Normal Form (CNF) so that non-CNF problems must be CNF-ized
upfront, typically by using variants of either Tseitin or Plaisted and
Greenbaum transformations...
Class-Conditioned Transformation for Enhanced Robust Image
Classification
March 27, 2023
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Computer Science
Computer Vision and Pattern Recognition
Robust classification methods predominantly concentrate on algorithms that
address a specific threat model, resulting in ineffective defenses against
other threat models. Real-world applications are exposed to this vulnerability,
as malicio...
Blind Inpainting with Object-aware Discrimination for Artificial Marker
Removal
March 27, 2023
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Computer Science
Electrical Engineering and Systems Science
Computer Vision and Pattern Recognition
Machine Learning
Image and Video Processing
Medical images often incorporate doctor-added markers that can hinder
AI-based diagnosis. This issue highlights the need of inpainting techniques to
restore the corrupted visual contents. However, existing methods require manual
mask annota...
Ergodicity breaking and deviation from Eigenstate Thermalisation in
relativistic QFT
March 27, 2023
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Physics
Statistical Mechanics
High Energy Physics - Theory
Chaotic Dynamics
The validity of the ergodic hypothesis in quantum systems can be rephrased in
the form of the eigenstate thermalisation hypothesis (ETH), a set of
statistical properties for the matrix elements of local observables in energy
eigenstates, wh...
Grand Schnyder Woods
March 27, 2023
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Mathematics
Combinatorics
We define a far-reaching generalization of Schnyder woods which encompasses
many classical combinatorial structures on planar graphs.
Schnyder woods are defined for planar triangulations as certain triples of
spanning trees covering the t...
A simplified lower bound for implicational logic
March 27, 2023
Computer Science
Mathematics
Logic in Computer Science
Logic
We present a streamlined and simplified exponential lower bound on the length
of proofs in intuitionistic implicational logic, adapted to Gordeev and
Haeusler's dag-like natural deduction....
Similarity analysis of DNA sequences through local distribution of
nucleotides in strategic neighborhood
March 27, 2023
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Computer Science
Data Structures and Algorithms
We propose a new alignment-free algorithm by constructing a compact vector
representation on R24 of a DNA sequence of arbitrary length. Each
component of this vector is obtained from a representative sequence, the
elements of ...
On the Creativity of Large Language Models
March 27, 2023
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Computer Science
Artificial Intelligence
Computation and Language
Computers and Society
Large Language Models (LLMs) are revolutionizing several areas of Artificial
Intelligence. One of the most remarkable applications is creative writing,
e.g., poetry or storytelling: the generated outputs are often of astonishing
quality. Ho...