Gradient descent in materia through homodyne gradient extraction
May 15, 2021
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Computer Science
Neural and Evolutionary Computing
Emerging Technologies
Machine Learning
Neural and Evolutionary Computing
Emerging Technologies
Machine Learning
Deep learning, a multi-layered neural network approach inspired by the brain,
has revolutionized machine learning. One of its key enablers has been
backpropagation, an algorithm that computes the gradient of a loss function
with respect to ...
When Automated Program Repair Meets Regression Testing -- An Extensive
Study on 2 Million Patches
May 15, 2021
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Computer Science
Software Engineering
In recent years, Automated Program Repair (APR) has been extensively studied
in academia and even drawn wide attention from industry. However, APR
techniques can be extremely time consuming since (1) a large number of patches
can be generat...
Character formula for conjugacy classes in a coset
May 15, 2021
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Mathematics
Group Theory
Let G be a finite group and N<G a normal subgroup with G/N abelian. We
show how the conjugacy classes of G in a given coset qN relate to the
irreducible characters of G that are not identically 0 on qN. We describe
several c...
Spreading speed of locally regulated population models in
macroscopically heterogeneous environments
May 14, 2021
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Mathematics
Probability
Analysis of PDEs
Probability
Analysis of PDEs
We consider a certain lattice branching random walk with on-site competition
and in an environment which is heterogeneous at a macroscopic scale
1/ε in space and time. This can be seen as a model for the spatial
dynamics of a bi...
Quantum dot-based high-fidelity universal quantum gates in noisy
environment
May 14, 2021
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Physics
Quantum Physics
Mesoscale and Nanoscale Physics
Quantum dot-based spin qubit realization is one of the most promising quantum
computing systems owing to its integrability with classical computation
hardware and its versatility in realizing qubits and quantum gates. In this
work, we inves...
Discrete Weierstrass-type representations
May 14, 2021
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Mathematics
Differential Geometry
Discrete Weierstrass-type representations yield a construction method in
discrete differential geometry for certain classes of discrete surfaces. We
show that the known discrete Weierstrass-type representations of certain
surface classes ca...
Birational description of moduli spaces of rank 2 logarithmic
connections
May 14, 2021
Mathematics
Algebraic Geometry
In this paper, we provide an explicit description of the Zariski-open subset
of the moduli space of rank 2 parabolic logarithmic connections in the case
g≥2. Our approach is to analyze the underlying parabolic bundles and the
apparent...
Subgraph Games in the Semi-Random Graph Process and Its Generalization
to Hypergraphs
May 14, 2021
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Mathematics
Combinatorics
The semi-random graph process is a single-player game that begins with an
empty graph on n vertices. In each round, a vertex u is presented to the
player independently and uniformly at random. The player then adaptively
selects a vertex...
Matrix-product state approach to the generalized nuclear pairing
Hamiltonian
May 14, 2021
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Physics
Strongly Correlated Electrons
Nuclear Theory
We show that from the point of view of the generalized pairing Hamiltonian,
the atomic nucleus is a system with small entanglement and can thus be
described efficiently using a 1D tensor network (matrix-product state) despite
the presence o...
Detecting positive quantum capacities of quantum channels
May 13, 2021
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Physics
Computer Science
Mathematics
Quantum Physics
Information Theory
Mathematical Physics
Information Theory
Mathematical Physics
Determining whether a noisy quantum channel can be used to reliably transmit
quantum information at a non-zero rate is a challenging problem in quantum
information theory. This is because it requires computation of the channel's
coherent in...