We present a scalable method for learning local quantum channels using local
expectation values measured on a single state -- their steady state. Our method
is inspired by the algorithms for learning local Hamiltonians from their ground
sta...
Commuting upper triangular binary morphisms
February 13, 2023
Computer Science
Formal Languages and Automata Theory
A morphism g from the free monoid X∗ into itself is called upper
triangular if the matrix of g is upper triangular. We characterize all upper
triangular binary morphisms g1​ and g2​ such that g1​g2​=g2​g1​....
Do Vision and Language Models Share Concepts? A Vector Space Alignment
Study
February 13, 2023
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Computer Science
Computation and Language
Large-scale pretrained language models (LMs) are said to ``lack the ability
to connect utterances to the world'' (Bender and Koller, 2020), because they do
not have ``mental models of the world' '(Mitchell and Krakauer, 2023). If so,
one wo...
Render-and-Compare: Cross-View 6 DoF Localization from Noisy Prior
February 13, 2023
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Computer Science
Computer Vision and Pattern Recognition
Despite the significant progress in 6-DoF visual localization, researchers
are mostly driven by ground-level benchmarks. Compared with aerial oblique
photography, ground-level map collection lacks scalability and complete
coverage. In this ...
A Domain Decomposition-Based CNN-DNN Architecture for Model Parallel
Training Applied to Image Recognition Problems
February 13, 2023
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Computer Science
Machine Learning
Computer Vision and Pattern Recognition
Deep neural networks (DNNs) and, in particular, convolutional neural networks
(CNNs) have brought significant advances in a wide range of modern computer
application problems. However, the increasing availability of large amounts of
dataset...
Effects of surface tension and elasticity on critical points of the
Kirchhoff-Plateau problem
February 13, 2023
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Mathematics
Analysis of PDEs
We introduce a modified Kirchhoff-Plateau problem adding an energy term to
penalize shape modifications of the cross-sections appended to the elastic
midline. In a specific setting, we characterize quantitatively some properties
of minimize...
Proposal of ensemble qubits with two-atom decay
February 13, 2023
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Physics
Quantum Physics
We propose and analyze a novel approach to implement ensemble qubits. The
required anharmonicity is provided by a simultaneous decay of two atoms (i.e.,
two-atom decay), which is achieved by fully quantum degenerate parametric
amplification...
A dynamical inflaton coupled to strongly interacting matter
February 13, 2023
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Physics
High Energy Physics - Theory
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
According to the inflationary theory of cosmology, most elementary particles
in the current universe were created during a period of reheating after
inflation. In this work we self-consistently couple the Einstein-inflaton
equations to a st...
Density-Softmax: Efficient Test-time Model for Uncertainty Estimation
and Robustness under Distribution Shifts
February 13, 2023
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Computer Science
Statistics
Machine Learning
Machine Learning
Sampling-based methods, e.g., Deep Ensembles and Bayesian Neural Nets have
become promising approaches to improve the quality of uncertainty estimation
and robust generalization. However, they suffer from a large model size and
high latency...
On finite generation in magnitude (co)homology, and its torsion
February 13, 2023
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Mathematics
Algebraic Topology
Combinatorics
Category Theory
Representation Theory
The aim of this paper is to apply the framework, which was developed by Sam
and Snowden, to study structural properties of graph homologies, in the spirit
of Ramos, Miyata and Proudfoot. Our main results concern the magnitude homology
of gr...