Oriented Closed Polyhedral Maps and the Kitaev Model

February 15, 2023

Mathematics
Physics
Quantum Algebra
Mathematical Physics
Mathematical Physics
A kind of combinatorial map, called arrow presentation, is proposed to encode the data of the oriented closed polyhedral complexes Σ\Sigma on which the Hopf algebraic Kitaev model lives. We develop a theory of arrow presentations which und...

Selective Noise Suppression Methods Using Random SVPWM to Shape the Noise Spectrum of PMSMs

February 15, 2023

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Electrical Engineering and Systems Science
Computer Science
Systems and Control
Systems and Control
Signal Processing
Random pulse width modulation techniques are used in AC motors powered by two-level three-phase inverters, which cause a broadband spectrum of voltage, current, and electromagnetic force. The voltage distribution across a wide range of freq...

Dynamics of Rapidly Rotating Bose-Einstein Quantum Droplets

February 15, 2023

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Physics
Quantum Gases
Atomic Physics
This work theoretically investigates \textcolor{black}{the stationary properties} and the dynamics of the rotating quantum liquid droplets confined in a two-dimensional symmetric anharmonic trap. Mimicking the quantum Hall systems, the modi...

The Hoffman-Wielandt inequality for quaternion matrices and quaternion matrix polynomials

February 15, 2023

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Mathematics
Spectral Theory
The purpose of this manuscript is to derive the Hoffman-Wielandt inequality and its most general form for quaternion matrices. Diagonalizabilty of the block companion matrix of certain quadratic (linear) quaternion matrix polynomials is bro...

Best Arm Identification for Stochastic Rising Bandits

February 15, 2023

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Computer Science
Machine Learning
Stochastic Rising Bandits (SRBs) model sequential decision-making problems in which the expected reward of the available options increases every time they are selected. This setting captures a wide range of scenarios in which the available ...

ReDas: A Lightweight Architecture for Supporting Fine-Grained Reshaping and Multiple Dataflows on Systolic Array

February 15, 2023

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Computer Science
Hardware Architecture
The systolic accelerator is one of the premier architectural choices for DNN acceleration. However, the conventional systolic architecture suffers from low PE utilization due to the mismatch between the fixed array and diverse DNN workloads...

Macaulay's theorem for vector-spread algebras

February 15, 2023

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Mathematics
Commutative Algebra
Let S=K[x1,…,xn]S=K[x_1,\dots,x_n] be the standard graded polynomial ring, with KK a field, and let t=(t1,…,td−1)∈Z≥0d−1{\bf t}=(t_1,\ldots,t_{d-1})\in{\mathbb{Z}}_{\ge 0}^{d-1}, d≥2d\ge 2, be a (d−1)(d-1)-tuple whose entries are non negative integers. To a t{\bf t}-spr...

Self-Supervised Temporal Graph learning with Temporal and Structural Intensity Alignment

February 15, 2023

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Computer Science
Machine Learning
Artificial Intelligence
Social and Information Networks
Temporal graph learning aims to generate high-quality representations for graph-based tasks with dynamic information, which has recently garnered increasing attention. In contrast to static graphs, temporal graphs are typically organized as...

Learning Performance-Improving Code Edits

February 15, 2023

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Computer Science
Software Engineering
Artificial Intelligence
Machine Learning
Performance
With the decline of Moore's law, optimizing program performance has become a major focus of software research. However, high-level optimizations such as API and algorithm changes remain elusive due to the difficulty of understanding the sem...

Lipschitz-volume rigidity of Lipschitz manifolds among integral currents

February 15, 2023

Mathematics
Differential Geometry
Metric Geometry
We give sufficient conditions such that a volume preserving 1-Lipschitz map from a metric integral current onto an infinitesimally Euclidean Lipschitz manifold is an isometry....