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On the orthogonality of zero-mean Gaussian measures: Sufficiently dense sampling

December 20, 2022

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Mathematics
Probability
For a stationary random function ξ\xi, sampled on a subset DD of Rd\mathbb{R}^{d}, we examine the equivalence and orthogonality of two zero-mean Gaussian measures P1\mathbb{P}_{1} and P2\mathbb{P}_{2} associated with ξ\xi. We give the is...

Unveiling Code Pre-Trained Models: Investigating Syntax and Semantics Capacities

December 20, 2022

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Computer Science
Software Engineering
Artificial Intelligence
Past research has examined how well these models grasp code syntax, yet their understanding of code semantics still needs to be explored. We extensively analyze seven code models to investigate how code models represent code syntax and sema...

Toward an AI-enabled Connected Industry: AGV Communication and Sensor Measurement Datasets

December 20, 2022

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Computer Science
Networking and Internet Architecture
Artificial Intelligence
Machine Learning
This paper presents two wireless measurement campaigns in industrial testbeds: industrial Vehicle-to-vehicle (iV2V) and industrial Vehicle-to-infrastructure plus Sensor (iV2I+), together with detailed information about the two captured data...

Re-evaluating the Need for Multimodal Signals in Unsupervised Grammar Induction

December 20, 2022

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Computer Science
Computation and Language
Artificial Intelligence
Machine Learning
Are multimodal inputs necessary for grammar induction? Recent work has shown that multimodal training inputs can improve grammar induction. However, these improvements are based on comparisons to weak text-only baselines that were trained o...

An Audio-Visual Speech Separation Model Inspired by Cortico-Thalamo-Cortical Circuits

December 20, 2022

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Computer Science
Sound
Computer Vision and Pattern Recognition
Audio-visual approaches involving visual inputs have laid the foundation for recent progress in speech separation. However, the optimization of the concurrent usage of auditory and visual inputs is still an active research area. Inspired by...

Analysis and Simulations of a Nonlocal Gray-Scott Model

December 20, 2022

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Mathematics
Computer Science
Numerical Analysis
Numerical Analysis
Analysis of PDEs
The Gray-Scott model is a set of reaction-diffusion equations that describes chemical systems far from equilibrium. Interest in this model stems from its ability to generate spatio-temporal structures, including pulses, spots, stripes, and ...

Little Red Riding Hood Goes Around the Globe:Crosslingual Story Planning and Generation with Large Language Models

December 20, 2022

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Computer Science
Computation and Language
Previous work has demonstrated the effectiveness of planning for story generation exclusively in a monolingual setting focusing primarily on English. We consider whether planning brings advantages to automatic story generation across langua...

Two geometric models for graded skew-gentle algebras

December 20, 2022

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Mathematics
Representation Theory
Category Theory
Geometric Topology
In Part 1, we classify (indecomposable) objects in the perfect derived category perΛ\mathrm{per}\Lambda of a graded skew-gentle algebra Λ\Lambda, generalizing technique/results of Burban-Drozd and Deng to the graded setting. We also use the ...

A proof of Saari's homographic conjecture

December 20, 2022

Mathematics
Physics
Classical Analysis and ODEs
Mathematical Physics
Mathematical Physics
We prove Saari's homographic conjecture for a large class of nn-body problems with power law potentials, including the classical nn-body problem....

Flag Gadgets based on Classical Codes

December 20, 2022

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Physics
Quantum Physics
Fault-tolerant syndrome extraction is a key ingredient in implementing fault-tolerant quantum computations. While conventional methods use a number of extra qubits linear in the weight of the syndrome, several improvements have been introdu...