DAG-FOCI learns causal relationships without parametric assumptions.
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The authors study in detail new types of varieties with degenerate Gauss maps: varieties with multiple foci and their particular case, the so-called twisted cones. They prove an existence theorem for twisted cones and describe their structure.
Confocal conics form an orthogonal net. Supplementing this net with one of the following: 1) the net of Cartesian coordinate lines aligned along the principal axes of conics, 2) the net of Apollonian pencils of circles whose foci coincide with the foci of conics, 3) the net of tangents to a conic of the confocal family…
A new algorithm difFOCI improves feature learning from data.
New method uncovers small but significant local activities in time-series data.
This technical note considers the problems of blind sparse learning and inference of electrogram (EGM) signals under atrial fibrillation (AF) conditions. First of all we introduce a mathematical model for the observed signals that takes into account the multiple foci typically appearing inside the heart during AF. Then…
Develops BPDS for better financial portfolio decisions.
The paper studies invariant complex manifolds in holomorphic slow-fast systems.
Study global geometry of dynamical systems with entire vector fields.
Attention models have had a significant positive impact on deep learning across a range of tasks. However previous attempts at integrating attention with reinforcement learning have failed to produce significant improvements. We propose the first combination of self attention and reinforcement learning that is capable …
We describe and study the loci equidistant from finitely many points in the so-called complex hyperbolic geometry, i.e., in the geometry of a holomorphic -ball . In particular, we show that the bisectors (= the loci equidistant from points) containing the (smooth real algebraic) curve equidistant from gi…
This study classifies quadric surfaces in 3-sphere as Weingarten surfaces.
Method identifies cardiac ectopic activity sites from 12-lead ECG.