148 citations · 372 across the 9 of their papers we have counts for
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math.NA2015★ 16 cited
Dimensionality Reduction of Collective Motion by Principal Manifolds
Kelum Gajamannage, Sachit Butail, Maurizio Porfiri +1
While the existence of low-dimensional embedding manifolds has been shown in patterns of collective motion, the current battery of nonlinear dimensionality reduction methods are no…
math.DS2015★ 14 cited
Identifying manifolds underlying group motion in Vicsek agents
Kelum Gajamannage, Sachit Butail, Maurizio Porfiri +1
Collective motion of animal groups often undergoes changes due to perturbations. In a topological sense, we describe these changes as switching between low-dimensional embedding ma…