17,424 research outputs found
Exact Partition Functions for Gauge Theories on
The noncommutative space , a deformation of
, supports a -parameter family of gauge theory models with
gauge-invariant harmonic term, stable vacuum and which are perturbatively
finite to all orders. Properties of this family are discussed. The partition
function factorizes as an infinite product of reduced partition functions, each
one corresponding to the reduced gauge theory on one of the fuzzy spheres
entering the decomposition of . For a particular
sub-family of gauge theories, each reduced partition function is exactly
expressible as a ratio of determinants. A relation with integrable 2-D Toda
lattice hierarchy is indicated.Comment: 20 pages. Title modified. Typos corrected. Version to appear in
Nucl.Phys.
On the Triplet Frame for Concept Analysis
The paper has two objectives: to introduce the fundamentals of a triplet model of a concept, and to show that the main concept models may be structurally treated as its partial cases. The triplet model considers a concept as a mental representation and characterizes it from three interrelated perspectives. The first deals with objects (and their attributes of various orders) subsumed under a concept. The second focuses on representing structures that depict objects and their attributes in some intelligent system. The third concentrates on the ways of establishing correspondences between objects with their attributes and appropriate representing structures
Dynamical tachyons on fuzzy spheres
We study the spectrum of off-diagonal fluctuations between displaced fuzzy
spheres in the BMN plane wave matrix model. The displacement is along the plane
of the fuzzy spheres. We find that when two fuzzy spheres intersect at angles
classical tachyons develop and that the spectrum of these modes can be computed
analytically. These tachyons can be related to the familiar Nielsen-Olesen
instabilities in Yang-Mills theory on a constant magnetic background. Many
features of the problem become more apparent when we compare with maximally
supersymmetric Yang-Mills on a sphere, of which this system is a truncation. We
also set up a simple oscillatory trajectory on the displacement between the
fuzzy spheres and study the dynamics of the modes as they become tachyonic for
part of the oscillations. We speculate on their role regarding the possible
thermalization of the system.Comment: 34 pages, 4 figures; v2: 35 pages, expanded sec. 4.3, added
reference
Predictive intelligence to the edge through approximate collaborative context reasoning
We focus on Internet of Things (IoT) environments where a network of sensing and computing devices are responsible to locally process contextual data, reason and collaboratively infer the appearance of a specific phenomenon (event). Pushing processing and knowledge inference to the edge of the IoT network allows the complexity of the event reasoning process to be distributed into many manageable pieces and to be physically located at the source of the contextual information. This enables a huge amount of rich data streams to be processed in real time that would be prohibitively complex and costly to deliver on a traditional centralized Cloud system. We propose a lightweight, energy-efficient, distributed, adaptive, multiple-context perspective event reasoning model under uncertainty on each IoT device (sensor/actuator). Each device senses and processes context data and infers events based on different local context perspectives: (i) expert knowledge on event representation, (ii) outliers inference, and (iii) deviation from locally predicted context. Such novel approximate reasoning paradigm is achieved through a contextualized, collaborative belief-driven clustering process, where clusters of devices are formed according to their belief on the presence of events. Our distributed and federated intelligence model efficiently identifies any localized abnormality on the contextual data in light of event reasoning through aggregating local degrees of belief, updates, and adjusts its knowledge to contextual data outliers and novelty detection. We provide comprehensive experimental and comparison assessment of our model over real contextual data with other localized and centralized event detection models and show the benefits stemmed from its adoption by achieving up to three orders of magnitude less energy consumption and high quality of inference
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Conjunctions of social categories considered from different points of view
Conjunctions of divergent social categories may elicit emergent attributes to render the composite concept more coherent. Following Kunda, Miller & Clare, (1990) participants listed and rated attributes for people who belong to unexpected conjunctions of social categories. In order to explore the flexibility in such constructions, they were also asked to adopt the point of view of a person in one of the two categories. Experiment 1 found that when adopting the point of view of one constituent category, people tended to combine the concepts antagonistically, meaning that they attributed to members of the conjunction the more negative aspects of the opposing category. Experiment 2 showed that this polarizing effect was reduced when the point of view category was itself unusual. Strong gender stereotype differences were also found in the degree to which combinations were antagonistic. Female stereotypes as points of view generated a greater degree of integration in the conceptual combination
Bisymmetric and quasitrivial operations: characterizations and enumerations
We investigate the class of bisymmetric and quasitrivial binary operations on
a given set and provide various characterizations of this class as well as
the subclass of bisymmetric, quasitrivial, and order-preserving binary
operations. We also determine explicitly the sizes of these classes when the
set is finite.Comment: arXiv admin note: text overlap with arXiv:1709.0916
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