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math.AT2025
Minimal Unimodal Decomposition is NP-Hard on Graphs
Mishal Assif P K, Yuliy Baryshnikov
A function on a topological space is called unimodal if all of its super-level sets are contractible. A minimal unimodal decomposition of a function is the smallest number of u…
math.DS2025
Topological State Space Inference for Dynamical Systems
Mishal Assif P K, Yuliy Baryshnikov
We present a computational pipe aiming at recovery of the topology of the underlying phase space from observation of an output function along a sample of trajectories of a dynamica…