26,093 research outputs found
Unpicking Priest's Bootstraps
Date of Acceptance: 13/07/2015Peer reviewedPostprin
Inference in Probabilistic Logic Programs using Weighted CNF's
Probabilistic logic programs are logic programs in which some of the facts
are annotated with probabilities. Several classical probabilistic inference
tasks (such as MAP and computing marginals) have not yet received a lot of
attention for this formalism. The contribution of this paper is that we develop
efficient inference algorithms for these tasks. This is based on a conversion
of the probabilistic logic program and the query and evidence to a weighted CNF
formula. This allows us to reduce the inference tasks to well-studied tasks
such as weighted model counting. To solve such tasks, we employ
state-of-the-art methods. We consider multiple methods for the conversion of
the programs as well as for inference on the weighted CNF. The resulting
approach is evaluated experimentally and shown to improve upon the
state-of-the-art in probabilistic logic programming
Contractions and deformations
Suppose that f is a projective birational morphism with at most
one-dimensional fibres between d-dimensional varieties X and Y, satisfying
. Consider the locus L in Y over
which f is not an isomorphism. Taking the scheme-theoretic fibre C over any
closed point of L, we construct algebras and which
prorepresent the functors of commutative deformations of C, and noncommutative
deformations of the reduced fibre, respectively. Our main theorem is that the
algebras recover L, and in general the commutative deformations of
neither C nor the reduced fibre can do this. As the d=3 special case, this
proves the following contraction theorem: in a neighbourhood of the point, the
morphism f contracts a curve without contracting a divisor if and only if the
functor of noncommutative deformations of the reduced fibre is representable.Comment: Minor changes following referee comments. 22 page
BINet: Multi-perspective Business Process Anomaly Classification
In this paper, we introduce BINet, a neural network architecture for
real-time multi-perspective anomaly detection in business process event logs.
BINet is designed to handle both the control flow and the data perspective of a
business process. Additionally, we propose a set of heuristics for setting the
threshold of an anomaly detection algorithm automatically. We demonstrate that
BINet can be used to detect anomalies in event logs not only on a case level
but also on event attribute level. Finally, we demonstrate that a simple set of
rules can be used to utilize the output of BINet for anomaly classification. We
compare BINet to eight other state-of-the-art anomaly detection algorithms and
evaluate their performance on an elaborate data corpus of 29 synthetic and 15
real-life event logs. BINet outperforms all other methods both on the synthetic
as well as on the real-life datasets
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