Study periodic solutions in N-body problem, revealing braids with complex dynamics.
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Our team of dance artists, physicists, and machine learning researchers has collectively developed several original, configurable machine-learning tools to generate novel sequences of choreography as well as tunable variations on input choreographic sequences. We use recurrent neural network and autoencoder architectur…
Since the foundational work of Chenciner and Montgomery in 2000 there has been a great deal of interest in choreographic solutions of the n-body problem: periodic motions where the n bodies all follow one another at regular intervals along a closed path. The principal approach combines variational methods with symmetry…
For a non-singular real algebraic projective curve, topological restrictions on a closed motion of a simple real divisor in its linear equivalence class are found.
Math and dance blend in choreographer's research.
Geodesics in Sol geometry described with invariant k and spiral properties.
SOM-VQ tokenizes discrete models with semantic structure and navigable topology.