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Found 7 papers, 1 papers with code
Automorphisms and isogeny graphs of abelian varieties, with applications to the superspecial Richelot isogeny graph
We investigate special structures due to automorphisms in isogeny graphs of principally polarized abelian varieties, and abelian surfaces in particular.
Cryptography and Security Number Theory
An atlas of the Richelot isogeny graph
We describe and illustrate the local neighbourhoods of vertices and edges in the (2, 2)-isogeny graph of principally polarized abelian surfaces, considering the action of automorphisms.
Number Theory
Ship Detection: Parameter Server Variant
We demonstrate how a custom U-Net can achieve 92\% class accuracy over a validation dataset and 68\% over a target dataset with 90\% confidence.
Efficient Scene Compression for Visual-based Localization
Estimating the pose of a camera with respect to a 3D reconstruction or scene representation is a crucial step for many mixed reality and robotics applications.
Bridging Scene Understanding and Task Execution with Flexible Simulation Environments
Significant progress has been made in scene understanding which seeks to build 3D, metric and object-oriented representations of the world.
Anomaly Detection with SDAE
Anomaly detection is a prominent data preprocessing step in learning applications for correction and/or removal of faulty data.
Small-time, large-time and $H\to 0$ asymptotics for the Rough Heston model
Finally, using L\'{e}vy's convergence theorem, we show that the log stock price $X_t$ tends weakly to a non-symmetric random variable $X^{(1/2)}_t$ as $\alpha \to 1/2$ (i. e. $H\to 0$) whose mgf is also the solution to the Rough Heston VIE with $\alpha=1/2$, and we show that $X^{(1/2)}_t/\sqrt{t}$ tends weakly to a non-symmetric random variable as $t\to 0$, which leads to a non-flat non-symmetric asymptotic smile in the Edgeworth regime.
