Recently, Dragani\'c, Munh\'a Correia, Sudakov and Yuster showed that every
tournament on (2+o(1))k2 vertices contains a 1-subdivision of a transitive
tournament on k vertices, which is tight up to a constant factor. We prove a
count...
A model of gravitational differentiation of compressible
self-gravitating planets
May 10, 2023
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Mathematics
Analysis of PDEs
Analysis of PDEs
We present a dynamic model for inhomogeneous viscoelastic media at finite
strains. The model features a Kelvin-Voigt rheology, and includes a
self-generated gravitational field in the actual evolving configuration. In
particular, a fully Eu...
A characterization of socular highest weight modules and Richardson
orbits of classical types
May 10, 2023
|
Mathematics
Representation Theory
Let g be a simple complex Lie algebra of classical type with a
Cartan subalgebra h. We fix a standard parabolic subalgebra
p⊃h. The socular simple modules are just those
highest weigh...
Does Principal Component Analysis Preserve the Sparsity in Sparse Weak
Factor Models?
May 10, 2023
|
Economics
Econometrics
This paper studies the principal component (PC) method-based estimation of
weak factor models with sparse loadings. We uncover an intrinsic near-sparsity
preservation property for the PC estimators of loadings, which comes from the
approxim...
Solutions to the stochastic thin-film equation for initial values with
non-full support
May 10, 2023
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Mathematics
Analysis of PDEs
Probability
The stochastic thin-film equation with mobility exponent n∈[38,3) on the one-dimensional torus with multiplicative Stratonovich
noise is considered. We show that martingale solutions exist for non-negative
initial values. This...
Crepant resolution of A4/A4 in characteristic 2
May 10, 2023
Mathematics
Algebraic Geometry
In this paper, we construct a crepant resolution for the quotient singularity
A4/A4 in characteristic 2, where A4 is the alternating group of
degree 4 with permutation action on A4. By computing the Euler
number ...
Quantum Fourier Transform for Image Processing
May 10, 2023
|
Physics
Computer Science
Quantum Physics
Data Structures and Algorithms
Emerging Technologies
Quantum information processing and its subfield, quantum image processing,
are rapidly growing fields as a result of advancements in the practicality of
quantum mechanics. In this paper, we propose a quantum algorithm for processing
informa...
Cubic vertices of minimal bicritical graphs
May 10, 2023
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Mathematics
Combinatorics
A graph G with four or more vertices is called bicritical if the removal of
any pair of distinct vertices of G results in a graph with a perfect
matching. A bicritical graph is minimal if the deletion of each edge results in
a non-bicri...
Large language models in biomedical natural language processing:
benchmarks, baselines, and recommendations
May 10, 2023
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Computer Science
Computation and Language
Artificial Intelligence
Information Retrieval
Machine Learning
Biomedical literature is growing rapidly, making it challenging to curate and
extract knowledge manually. Biomedical natural language processing (BioNLP)
techniques that can automatically extract information from biomedical
literature help ...
Fast Distributed Inference Serving for Large Language Models
May 10, 2023
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Computer Science
Machine Learning
Distributed, Parallel, and Cluster Computing
Large language models (LLMs) power a new generation of interactive AI
applications exemplified by ChatGPT. The interactive nature of these
applications demands low latency for LLM inference. Existing LLM serving
systems use run-to-completio...