We consider the problem of predicting an outcome variable on the basis of a small number of covariates, using an interpretable yet non-additive model. We propose convex regression with interpretable sharp partitions (CRISP) for this task. CRISP partitions the covariate space into blocks in a data-adaptive way, and fits a mean model within each block. Unlike other partitioning methods, CRISP is ...

Crisp Commitment schemes are very useful building blocks in the design of high-level cryptographic protocols. They are used as a mean of flipping fair coins between two players and others. In this paper an attempt has been made to give a generalized framework for Crisp Commitment schemes is called an Ordinary Crisp Commitment Scheme (OCCS). The Hiding and Binding properties of OCCS are well def...

This paper describes a small part of a research project which began about 7 years ago with the observation that patients with anorexia nervosa report a disturbance of their normal sleep pattern [Crisp, 1967]. This observation was subsequently confirmed in a systematic study of these patients in which early morning waking, as measured by patients’ selfreports, nocturnal motility and all-night EE...

This paper studies connectedness of Goetschel–Voxman fuzzy matroids (briefly, G–V fuzzy matroids), an analog of connectedness of crisp finite matroids. Based on the results of fuzzy circuits given by Goetschel and Voxman, the transitivity theorem concerning fuzzy circuits of G–V fuzzy matroids is established, and thus the useful notion of refined G–V fuzzy matroid is introduced. The connectedne...

Fuzzy Description Logics generalize crisp ones by providing membership degree semantics for concepts and roles by fuzzy sets. Recently, answering of conjunctive queries has been investigated and implemented in optimized reasoner systems based on the rewriting approach for crisp DLs. In this paper we investigate how to employ such existing implementations for crisp query answering in DL-LiteR ov...

A fuzzy set can be represented by a family of crisp sets using its α-level sets, whereas a rough set can be represented by three crisp sets. Based on such representations, this paper examines some fundamental issues involved in the combination of rough-set and fuzzy-set models. The rough-fuzzy-set and fuzzy-rough-set models are analyzed, with emphasis on their structures in terms of crisp sets....

The prokaryotic antiviral defense systems CRISP R (clustered regularly interspaced short palindromic repeats)/Cas (CRISP Rassociated) employs short crRNAs (CRISP R RNAs) to target invading viral nucleic acids. A short spacer sequence of these crRNAs can be derived from a viral genome and recognizes a reoccurring attack of a virus via base complementarity. We analyzed the effect of spacer sequen...

During the last three decades, formal concept analysis (FCA) became a well-known formalism in data analysis and knowledge discovery because of its usefulness in important domains of knowledge discovery in databases (KDD) such as ontology engineering, association rule mining, machine learning, as well as relation to other established theories for representing knowledge processing, like descripti...

The paper presents advanced method for solving contradictory problems of hybrid position-force control of the movement of walking robots by applying an “Extension Set”. Starting from the extension distance defined by Prof. Cai Wen, the founder of Extenics, there are determined the 2D space dependent function on position and force in relation to standard positive field on position respective on ...