A coloring of a direct product of graphs is said to be {\em trivial} iff it
is induced by some coloring of a factor of the product. A graph G is
trivially power colorable iff every coloring of a finite power of G with
χ(G)-many col...
Removal of K-mixing in angular momentum projected nuclear wave
functions
March 11, 2023
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Physics
Nuclear Theory
Angular momentum projection plays a key role in studying quantum many-body
systems with rotational invariance such as atomic nuclei. At a given spin J,
one can generate 2J+1 angular momentum projected states labeled with $-J\leq
K \leq ...
Weighted Sums and Berry-Esseen type estimates in Free Probability Theory
March 11, 2023
Mathematics
Probability
Operator Algebras
We study weighted sums of free identically distributed self-adjoint random
variables with weights chosen randomly from the unit sphere and show that the
Kolmogorov distance between the distribution of such a weighted sum and
Wigner's semici...
Biclique immersions in graphs with independence number 2
March 11, 2023
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Mathematics
Computer Science
Combinatorics
Discrete Mathematics
The analogue of Hadwiger's conjecture for the immersion relation states that
every graph G contains an immersion of Kχ(G). For graphs with
independence number 2, this is equivalent to stating that every such n-vertex
graph conta...
Art-ificial Intelligence: The Effect of AI Disclosure on Evaluations of
Creative Content
March 11, 2023
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Computer Science
Economics
Quantitative Finance
Computers and Society
General Economics
Economics
The emergence of generative AI technologies, such as OpenAI's ChatGPT
chatbot, has expanded the scope of tasks that AI tools can accomplish and
enabled AI-generated creative content. In this study, we explore how disclosure
regarding the us...
Nelson's Logical Diagrams
March 11, 2023
Mathematics
History and Overview
Logic
As is now well known, the generalization of the square of opposition to a
hexagon was discovered independently by three philosophers in the early 1950s:
Paul Jacoby, Augustin Sesmat, and Robert Blanch\'{e} . Much less well known is
the earl...
Graph Contrastive Learning under Heterophily via Graph Filters
March 11, 2023
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Computer Science
Machine Learning
Graph contrastive learning (CL) methods learn node representations in a
self-supervised manner by maximizing the similarity between the augmented node
representations obtained via a GNN-based encoder. However, CL methods perform
poorly on g...
Delay-induced spontaneous dark state generation from two distant excited
atoms
March 11, 2023
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Physics
Quantum Physics
We investigate the collective non-Markovian dynamics of two fully excited
two-level atoms coupled to a one-dimensional waveguide in the presence of
delay. We demonstrate that analogous to the well-known superfluorescence
phenomena, where an...
ZeroNLG: Aligning and Autoencoding Domains for Zero-Shot Multimodal and
Multilingual Natural Language Generation
March 11, 2023
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Computer Science
Computation and Language
Artificial Intelligence
Computer Vision and Pattern Recognition
Natural Language Generation (NLG) accepts input data in the form of images,
videos, or text and generates corresponding natural language text as output.
Existing NLG methods mainly adopt a supervised approach and rely heavily on
coupled dat...
The automorphism group of finite p-groups associated to the Macdonald
group
March 11, 2023
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Mathematics
Group Theory
Given positive integers p and m, where p is assumed to be an odd prime,
we determine the automorphism groups of p-groups J, H, and K of orders
p7m, p6m, and p5m, and nilpotency classes 5, 4, and 3,
respectively,...