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stat.ME2025
Zeroes and Extrema of Functions via Random Measures
Athanasios Christou Micheas
We present methods that provide all zeroes and extrema of a function that do not require differentiation. Using point process theory, we are able to describe the locations of zeroe…
stat.ME2025
Stochastic Taylor expansion via Poisson point processes
Weichao Wu, Athanasios C. Micheas
We generalize Taylor's theorem by introducing a stochastic formulation based on an underlying Poisson point process model. We utilize this approach to propose a novel non-linear re…