We address the problem of quantifying the information content of a source for
an arbitrary information theory, where the information content is defined in
terms of the asymptotic achievable compression rate. The functions that solve
this pr...
Qubit-Efficient Randomized Quantum Algorithms for Linear Algebra
February 3, 2023
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Physics
Computer Science
Quantum Physics
Data Structures and Algorithms
We propose a class of randomized quantum algorithms for the task of sampling
from matrix functions, without the use of quantum block encodings or any other
coherent oracle access to the matrix elements. As such, our use of qubits is
purely ...
Extracting the gamma-ray source-count distribution below the Fermi-LAT
detection limit with deep learning
February 3, 2023
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Physics
Computer Science
Cosmology and Nongalactic Astrophysics
High Energy Astrophysical Phenomena
Instrumentation and Methods for Astrophysics
Machine Learning
We reconstruct the extra-galactic gamma-ray source-count distribution, or
dN/dS, of resolved and unresolved sources by adopting machine learning
techniques. Specifically, we train a convolutional neural network on synthetic
2-dimensional ...
Remarks on hypoelliptic equations
February 3, 2023
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Mathematics
Analysis of PDEs
Smooth hypoellipticity for scalar equations is quite well understood
presently. On the other hand, much remains to be done for systems and/or at
different levels of regularity and in particular for L1-hypoellipticity. In
this article we ...
Locally conformally product structures on solvmanifolds
February 3, 2023
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Mathematics
Differential Geometry
We study left invariant locally conformally product structures on simply
connected Lie groups and give their complete description in the solvable
unimodular case. Based on previous classification results, we then obtain the
complete list of...
Low-depth simulations of fermionic systems on square-grid quantum
hardware
February 3, 2023
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Physics
Quantum Physics
We present a general strategy for mapping fermionic systems to quantum
hardware with square qubit connectivity which yields low-depth quantum
circuits, counted in the number of native two-qubit fSIM gates. We achieve this
by leveraging nove...
Trade-off between predictive performance and FDR control for
high-dimensional Gaussian model selection
February 3, 2023
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Mathematics
Statistics
Statistics Theory
Applications
Methodology
Statistics Theory
In the context of the high-dimensional Gaussian linear regression for ordered
variables, we study the variable selection procedure via the minimization of
the penalized least-squares criterion. We focus on model selection where the
penalty ...
Nonconvex Distributed Feedback Optimization for Aggregative Cooperative
Robotics
February 3, 2023
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Mathematics
Computer Science
Electrical Engineering and Systems Science
Optimization and Control
Systems and Control
Systems and Control
Distributed aggregative optimization is a recently emerged framework in which
the agents of a network want to minimize the sum of local objective functions,
each one depending on the agent decision variable (e.g., the local position of
a te...
Learning a Fourier Transform for Linear Relative Positional Encodings in
Transformers
February 3, 2023
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Computer Science
Machine Learning
We propose a new class of linear Transformers called
FourierLearner-Transformers (FLTs), which incorporate a wide range of relative
positional encoding mechanisms (RPEs). These include regular RPE techniques
applied for sequential data, as ...
Notes on the type classification of von Neumann algebras
February 3, 2023
Physics
Mathematics
High Energy Physics - Theory
Mathematical Physics
Mathematical Physics
Quantum Physics
These notes provide an explanation of the type classification of von Neumann
algebras, which has made many appearances in recent work on entanglement in
quantum field theory and quantum gravity. The goal is to bridge a gap in the
literature...