6,070 research outputs found
Visualizing and Interacting with Concept Hierarchies
Concept Hierarchies and Formal Concept Analysis are theoretically well
grounded and largely experimented methods. They rely on line diagrams called
Galois lattices for visualizing and analysing object-attribute sets. Galois
lattices are visually seducing and conceptually rich for experts. However they
present important drawbacks due to their concept oriented overall structure:
analysing what they show is difficult for non experts, navigation is
cumbersome, interaction is poor, and scalability is a deep bottleneck for
visual interpretation even for experts. In this paper we introduce semantic
probes as a means to overcome many of these problems and extend usability and
application possibilities of traditional FCA visualization methods. Semantic
probes are visual user centred objects which extract and organize reduced
Galois sub-hierarchies. They are simpler, clearer, and they provide a better
navigation support through a rich set of interaction possibilities. Since probe
driven sub-hierarchies are limited to users focus, scalability is under control
and interpretation is facilitated. After some successful experiments, several
applications are being developed with the remaining problem of finding a
compromise between simplicity and conceptual expressivity
CAISL: Simplification Logic for Conditional Attribute Implications
In this work, we present a sound and complete axiomatic system for conditional attribute implications (CAIs) in Triadic Concept Analysis (TCA). Our approach is strongly based on the Simplification paradigm which offers a more suitable way for automated reasoning than the one based on Armstrong’s Axioms. We also present an automated method to prove the derivability of a CAI from a set of CAI s.Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech
The new concept of nano-device spectroscopy based on Rabi-Bloch oscillations for THz-frequency range
We considered one-dimensional quantum chains of two-level Fermi particles
coupled via the tunneling driven both by ac and dc fields in the regimes of
strong and ultrastrong coupling. The frequency of ac field is matched with the
frequency of the quantum transition. Based on the fundamental principles of
electrodynamics and quantum theory, we developed a general model of quantum
dynamics for such interactions. We showed that the joint action of ac and dc
fields leads to the strong mutual influence of Rabi- and Bloch oscillations one
to another. We focused on the regime of ultrastrong coupling, for which Bloch-
and Rabi-frequencies are a significant values of the frequency of interband
transition. The Hamiltonian was solved numerically with account of
anti-resonant terms. It manifests by the appearance of great number of narrow
high-amplitude resonant lines in the spectra of tunneling current and dipole
moment. We proposed the new concept of THz spectroscopy promising for different
applications in future nanoelectronics and nano-photonics.Comment: 26 pages, 20 figure
Interpretation of Fuzzy Attribute Subsets in Generalized One-Sided Concept Lattices
In this paper we describe possible interpretation and reduction of fuzzy attributes in Generalized One-sided Concept Lattices (GOSCL). This type of concept lattices represent generalization of Formal Concept Analysis (FCA) suitable for analysis of datatables with different types of attributes. FCA as well as generalized one-sided concept lattices represent conceptual data miningmethods. With growing number of attributes the interpretation of fuzzy subsets may become unclear, hence another interpretation of this fuzzy attribute subsets can be valuable. The originality of the presented method is based on the usage of one-sided concept lattices derived from submodels of former object-attribute model by grouping attributes with the same truth value structure. This leads to new method for attribute reduction in GOSCL environment
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