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Conjecture on existence of minimizing change points for piecewise convex estimation
Let $K$ be a fixed number of change points, and let $boldsymbol{x}=(x1, ldots,xK)in[0,1]^K$ denote their locations. For the variational problem in equation (2.3), assume $ell=m$ ; T…
Conjectureopenchange-point-estimation smoothing variational-methodsarXiv posted 2 days ago
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The symplectic smoothing conjecture for polyhedral symplectic four-manifolds
Let $M^4$ be a polyhedral nearly symplectic manifold, and let $M_1^4(\varepsilon)$ be a neighborhood of the union of all edges. Suppose the $PL$ symplectic structure on…
Conjectureopenfour-manifolds smoothing symplectic-geometryarXiv posted 2 days ago

Conjecture on existence of minimizing change points for piecewise convex estimation