A criterion for transitivity of area preserving partially hyperbolic
endomorphism on torus
November 28, 2020
Mathematics
Dynamical Systems
We propose a criterion, referred to as order-n transversality, for
transitivity of area preserving partially hyperbolic endomorphisms. Besides, we
also give a further answer to the Gan's problem, as proposed in the work of
Baolin He....
A new parametrization for ideal classes in rings defined by binary
forms, and applications
November 27, 2020
Mathematics
Number Theory
We give a parametrization of square roots of the ideal class of the inverse
different of rings defined by binary forms in terms of the orbits of a
coregular representation. This parametrization, which can be construed as a new
integral mode...
3D simulations of photochemical hazes in the atmosphere of hot Jupiter
HD 189733b
November 27, 2020
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Physics
Earth and Planetary Astrophysics
Photochemical hazes have been suggested as candidate for the high-altitude
aerosols observed in the transmission spectra of many hot Jupiters. We present
3D simulations of the hot Jupiter HD 189733b to study how photochemical hazes
are tran...
Detection of Malaria Vector Breeding Habitats using Topographic Models
November 27, 2020
Computer Science
Electrical Engineering and Systems Science
Machine Learning
Computer Vision and Pattern Recognition
Image and Video Processing
Treatment of stagnant water bodies that act as a breeding site for malarial
vectors is a fundamental step in most malaria elimination campaigns. However,
identification of such water bodies over large areas is expensive,
labour-intensive an...
Effects of local mutations in quadratic iterations
November 27, 2020
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Mathematics
Physics
Dynamical Systems
Chaotic Dynamics
We introduce mutations in replication systems in which the intact copying
mechanism is performed by discrete iterations of a complex quadratic map in the
family fc(z)=z2+c. More specifically, we consider a "correct" function
fc1...
Statistical theory for image classification using deep convolutional
neural networks with cross-entropy loss under the hierarchical max-pooling
model
November 27, 2020
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Mathematics
Statistics
Statistics Theory
Statistics Theory
Convolutional neural networks (CNNs) trained with cross-entropy loss have
proven to be extremely successful in classifying images. In recent years, much
work has been done to also improve the theoretical understanding of neural
networks. Ne...
A Tractable Online Learning Algorithm for the Multinomial Logit
Contextual Bandit
November 27, 2020
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Computer Science
Statistics
Machine Learning
Machine Learning
In this paper, we consider the contextual variant of the MNL-Bandit problem.
More specifically, we consider a dynamic set optimization problem, where a
decision-maker offers a subset (assortment) of products to a consumer and
observes the r...
Building bridges between Tate conjectures and arithmetic invariants
November 26, 2020
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Mathematics
Algebraic Geometry
Number Theory
In this paper, we clarify and build connections between various conjectures
largely motivated by the works of Jean-Pierre Serre and John Tate. We closely
study the Tate conjecture for algebraic cycles as well as their motivic
generalization...
One-Way Functions Imply Secure Computation in a Quantum World
November 26, 2020
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Physics
Computer Science
Quantum Physics
Cryptography and Security
We prove that quantum-hard one-way functions imply simulation-secure quantum
oblivious transfer (QOT), which is known to suffice for secure computation of
arbitrary quantum functionalities. Furthermore, our construction only makes
black-box...
Twisted generating functions and the nearby Lagrangian conjecture
November 26, 2020
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Mathematics
Symplectic Geometry
We prove that, for closed exact embedded Lagrangian submanifolds of cotangent
bundles, the homomorphism of homotopy groups induced by the stable Lagrangian
Gauss map vanishes. In particular, we prove that this map is null-homotopic for
all ...