3 problems

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Conjecture on PCIC model-selection consistency and efficiency
Let $K$ be the number of convexity change points, let $p$ be the number of knots, and define the Piecewise Convex Information Criterion by … Here the default values are…
Conjectureopenchange-point-estimation model-selection regressionarXiv posted 2 days ago
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Conjecture on asymptotic consistency of piecewise convex change-point estimation
Suppose the number of change points is unknown, and augment the estimation criterion by a penalty proportional to $\ln(N)$ times the number of change points. This produces the piec…
Conjectureopenchange-point-estimation model-selection regression-splinesarXiv posted 2 days ago
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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

Conjecture on PCIC model-selection consistency and efficiency