Proof of Proposition 1.1. The first two properties can be directly verified from the definition. The third property which will turn out to be crucial follows since applying Zf n times cycles the vector back to its original form but with all entries scaled by f . The fourth property follows becauses Zf−1 cancels the downward shift-and-scale action of Zf . The fifth property can be verified by ob...

In this supplementary material, we present the deferred proofs of the results in the main paper. 1. Proof of Claim 1 Statement of Claim 1: Suppose that each element xi of x is sampled i.i.d. from Rademacher distribution, i.e., P(xi = 1) = P(xi = −1) = 0.5. Under model (3) with noise ε = 0, there exists a θ̄ ∈ Sp−1 together with a monotone f̄ , such that supp(θ̄) = supp(θ∗) and yi = f̄(⟨θ̄,xi⟩) for d...

In order to assess how bone substitute materials determine bone formation in vivo it is useful to understand the mechanisms of the material surface/tissue interaction on a cellular level. Artificial materials are used in two applications, as biomaterials alone or as a scaffold for osteoblasts in a tissue engineering approach. Recently, many efforts have been undertaken to improve bone regenerat...

The inSGML-project focuses on developing methods for SGML-based standardization on the industrial organizations. This report descibes the starting point of one of the project’s focuses, organized as a case study B: reuse of structured documents and the structure for training material. Main purpose of the report is to discuss the main consepts related to the research, and to give a short review ...