Optimal and exact recovery on general non-uniform Hypergraph Stochastic
Block Model
April 25, 2023
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Mathematics
Statistics
Statistics Theory
Probability
Machine Learning
Statistics Theory
Consider the community detection problem in random hypergraphs under the
non-uniform hypergraph stochastic block model (HSBM), where each hyperedge
appears independently with some given probability depending only on the labels
of its vertic...
Exponentially Convergent Numerical Method for Abstract Cauchy Problem
with Fractional Derivative of Caputo Type
April 25, 2023
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Mathematics
Computer Science
Numerical Analysis
Mathematical Software
Numerical Analysis
Analysis of PDEs
Classical Analysis and ODEs
We present an exponentially convergent numerical method to approximate the
solution of the Cauchy problem for the inhomogeneous fractional differential
equation with an unbounded operator coefficient and Caputo fractional
derivative in time...
Loss- and Reward-Weighting for Efficient Distributed Reinforcement
Learning
April 25, 2023
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Computer Science
Machine Learning
Artificial Intelligence
Distributed, Parallel, and Cluster Computing
This paper introduces two learning schemes for distributed agents in
Reinforcement Learning (RL) environments, namely Reward-Weighted (R-Weighted)
and Loss-Weighted (L-Weighted) gradient merger. The R/L weighted methods
replace standard pra...
Material Hardness Descriptor Derived by Symbolic Regression
April 25, 2023
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Physics
Materials Science
Applied Physics
Computational Physics
Hardness is a materials' property with implications in several industrial
fields, including oil and gas, manufacturing, and others. However, the
relationship between this macroscale property and atomic (i.e., microscale)
properties is unkno...
Marked length spectrum rigidity from rigidity on subsets
April 25, 2023
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Mathematics
Geometric Topology
Group Theory
We introduce a new method for studying length spectrum rigidity problems
based on a combination of ideas from dynamical systems and geometric group
theory. This allows us to compare the marked length spectrum of metrics and
distance-like fu...
Answering Questions by Meta-Reasoning over Multiple Chains of Thought
April 25, 2023
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Computer Science
Computation and Language
Artificial Intelligence
Modern systems for multi-hop question answering (QA) typically break
questions into a sequence of reasoning steps, termed chain-of-thought (CoT),
before arriving at a final answer. Often, multiple chains are sampled and
aggregated through a...
Mobility of geometric constraint systems with extrusion symmetry
April 25, 2023
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Mathematics
Metric Geometry
Combinatorics
If we take a (bar-joint) framework, prepare an identical copy of this
framework, translate it by some vector τ, and finally join corresponding
points of the two copies, then we obtain a framework with `extrusion' symmetry
in the direct...
Cooperative Hierarchical Deep Reinforcement Learning based Joint Sleep
and Power Control in RIS-aided Energy-Efficient RAN
April 25, 2023
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Electrical Engineering and Systems Science
Computer Science
Systems and Control
Systems and Control
Energy efficiency (EE) is one of the most important metrics for envisioned 6G
networks, and sleep control, as a cost-efficient approach, can significantly
lower power consumption by switching off network devices selectively.
Meanwhile, the ...
HexRAN: A Programmable Approach to Open RAN Base Station System Design
April 25, 2023
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Computer Science
Networking and Internet Architecture
In recent years, the radio access network (RAN) domain has witnessed a sea
change with increasing levels of virtualization and softwarization driven by
emerging paradigms such as the Open RAN (O-RAN) movement. However, the
fundamental build...
Hypersonic Similarity for Steady Compressible Full Euler Flows Over
Two-Dimensional Lipschitz Wedges
April 25, 2023
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Mathematics
Analysis of PDEs
We establish the optimal convergence rate to the hypersonic similarity law,
which is also called the Mach number independence principle, for steady
compressible full Euler flows over two-dimensional slender Lipschitz wedges.
The problem can...