Abstract: The article is devoted to the synthesis of a new nonlinear filtration methods for a piecewise constant signals distorted by Poisson noise. The proposed approach to filtering assumes the ...

Abstract: Many inverse problems in science and engineering are formulated as recovery of piecewise finite-dimensional continuous (PFC) signals. Although the higher-order total variation (HTV) is known ...

Consider a sequence of real data points X₁, . . . , Xn with underlying means θ*₁, . . . ,θ*n. This paper starts from studying the setting that θ*i is both piecewise constant and monotone as a function ...

An important function which is neither concave nor convex often arises in production and inventory models. This function is herein called piecewise concave and can be considered to be a generalization ...