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In the paper we give a characterization of identifiability for regularizations with gauges of compact convexes. This extends the classic identifiability results from the standard l1-regularization framework in compressive sensing. We show that the standard dual certificate techniques can no longer work by themselves ouside the polytope case. We then apply the general characterization to the caseof...
In this paper we provide modification of approaches for extraction of keyphrases from single textual document (without external information) based on the hierarchical concepts created upon the text of particular document. For the creation of hierarchical concepts method from area of Formal Concept Analysis (FCA) is used, which organizes objects into concept lattice (structure of hierarchically organized...
The methods from the area of Formal Concept Analysis (or FCA) are usually used for conceptual-based exploratory data-mining tasks. One of the methods used in this area is based on one-sided fuzzification of standard approach, which provides the clusters of objects structured in concept hierarchy according to the specified set of fuzzy attributes. The limiting problem of FCA-based approaches is that...
Interactive ad-hoc analytics over large datasets has become an increasingly popular use case. We detail the challenges encountered when building a distributed system that allows the interactive exploration of a data cube. We introduce DICE, a distributed system that uses a novel session-oriented model for data cube exploration, designed to provide the user with interactive sub-second latencies for...
In this paper we provide the new version of algorithm for creation model called Generalized One-Sided Concept Lattice (GOSCL). This model provides the specific fuzzy version of data analytical method based on the approach known as Formal Concept Analysis (FCA), which supports data tables containing the multiple types of attributes defined as fuzzy sets. The acquisition of the FCA models is computationally...
The volume and complexity of data produced and analyzed in scientific collaborations is growing exponentially. It is important to track scientific data-intensive analysis workflows to provide context and reproducibility as data is transformed in these collaborations. Provenance addresses this need and aids scientists by providing the lineage or history of how data is generated, used and modified....
In this paper we describe the possibility for usage of generalized version of one-sided (fuzzy) concept lattices, which represents analytical method from the area of Formal Concept Analysis (FCA), for joining of several simple object-attribute models. The main advantage of the algorithm for (so-called) Generalized One-sided Concept Lattices (GOSCL) is its possibility or ability to work with various...
In order to handle vague information of ontology mapping, a novel method based on the Fuzzy Formal Concept Analysis (FCA) theory was proposed. The ontology was first defined to model vague data, and then a fuzzy formal context was constructed with the combination of two ontologies. At last, a concept similarity measure model was proposed for improving ontology mapping. Compared with other ontology...
Considering the problem of unified description of data modeling languages for computer network management, information specification ontology may be a prospective solution. However, basics of a unified mathematical theory are still lacking for ontology building. Delighted by the philosophical thinking of conceptual scheme for descriptive metaphysics, this paper tries to utilize formal concept analysis...
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