Gaussian Process on the Product of Directional Manifolds
March 12, 2023
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Computer Science
Machine Learning
We present a principled study on defining Gaussian processes (GPs) with
inputs on the product of directional manifolds. A circular kernel is first
presented according to the von Mises distribution. Based thereon, the
hypertoroidal von Mises...
Bayesian size-and-shape regression modelling
March 12, 2023
| |
Statistics
Methodology
Building on Dryden et al. (2021), this note presents the Bayesian estimation
of a regression model for size-and-shape response variables with Gaussian
landmarks. Our proposal fits into the framework of Bayesian latent variable
models and al...
IFF: A Super-resolution Algorithm for Multiple Measurements
March 12, 2023
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Electrical Engineering and Systems Science
Signal Processing
We consider the problem of reconstructing one-dimensional point sources from
their Fourier measurements in a bounded interval [−Ω,Ω]. This
problem is known to be challenging in the regime where the spacing of the
sources is bel...
Self-planning Code Generation with Large Language Models
March 12, 2023
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Computer Science
Software Engineering
Although large language models (LLMs) have demonstrated impressive ability in
code generation, they are still struggling to address the complicated intent
provided by humans. It is widely acknowledged that humans typically employ
planning t...
Effective Hamiltonian approach to the exact dynamics of open system by
complex discretization approximation for environment
March 12, 2023
| | |
Physics
Quantum Physics
The discretization approximation method commonly used to simulate the open
dynamics of system coupled to the environment in continuum often suffers from
the recurrence. To address this issue, this paper proposes a noval
generalization of th...
Heart Murmur and Abnormal PCG Detection via Wavelet Scattering Transform
& a 1D-CNN
March 12, 2023
| |
Electrical Engineering and Systems Science
Computer Science
Signal Processing
Machine Learning
Heart murmurs provide valuable information about mechanical activity of the
heart, which aids in diagnosis of various heart valve diseases. This work does
automatic and accurate heart murmur detection from phonocardiogram (PCG)
recordings. ...
Constructing Galois representations with prescribed Iwasawa
λ-invariant
March 12, 2023
Mathematics
Number Theory
Let p≥5 be a prime number. We consider the Iwasawa λ-invariants
associated to modular Bloch-Kato Selmer groups, considered over the cyclotomic
Zp-extension of Q. Let g be a p-ordinary cuspidal
newfor...
Non-Markovian Quantum Refrigerators
March 12, 2023
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Physics
Quantum Physics
We explore a small quantum refrigerator consisting of three qubits, each of
which is kept in contact with an environment. We consider two settings: one is
when there is necessarily transient cooling and the other is when both
steady-state a...
Extending global-local view alignment for self-supervised learning with
remote sensing imagery
March 12, 2023
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Computer Science
Computer Vision and Pattern Recognition
Since large number of high-quality remote sensing images are readily
accessible, exploiting the corpus of images with less manual annotation draws
increasing attention. Self-supervised models acquire general feature
representations by formu...
Transmission efficiency limit of single-switch and cascaded
reconfigurable transmitarray elements
March 12, 2023
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Physics
Applied Physics
Reconfigurable transmitarray antennas (RTAs) are rapidly gaining popularity,
but optimizing their performance requires systematic design theories. In
particular, establishing a performance limit theory for RTA elements is
valuable. This pap...