31,682 research outputs found
Graph Laplacian for Image Anomaly Detection
Reed-Xiaoli detector (RXD) is recognized as the benchmark algorithm for image
anomaly detection; however, it presents known limitations, namely the
dependence over the image following a multivariate Gaussian model, the
estimation and inversion of a high-dimensional covariance matrix, and the
inability to effectively include spatial awareness in its evaluation. In this
work, a novel graph-based solution to the image anomaly detection problem is
proposed; leveraging the graph Fourier transform, we are able to overcome some
of RXD's limitations while reducing computational cost at the same time. Tests
over both hyperspectral and medical images, using both synthetic and real
anomalies, prove the proposed technique is able to obtain significant gains
over performance by other algorithms in the state of the art.Comment: Published in Machine Vision and Applications (Springer
A Central Limit Theorem for Gibbsian Invariant Measures of 2D Euler Equations
We consider Canonical Gibbsian ensembles of Euler point vortices on the
2-dimensional torus or in a bounded domain of R 2 . We prove that under the
Central Limit scaling of vortices intensities, and provided that the system has
zero global space average in the bounded domain case (neutrality condition),
the ensemble converges to the so-called Energy-Enstrophy Gaussian random
distributions. This can be interpreted as describing Gaussian fluctuations
around the mean field limit of vortices ensembles. The main argument consists
in proving convergence of partition functions of vortices and Gaussian
distributions.Comment: 27 pages, to appear on Communications in Mathematical Physic
Deformations of algebraic schemes via Reedy-Palamodov cofibrant resolutions
Let be a Noetherian separated and finite dimensional scheme over a field
of characteristic zero. The goal of this paper is to study
deformations of over a differential graded local Artin -algebra
by using local Tate-Quillen resolutions, i.e., the algebraic analog of the
Palamodov's resolvent of a complex space. The above goal is achieved by
describing the DG-Lie algebra controlling deformation theory of a diagram of
differential graded commutative algebras, indexed by a direct Reedy category.Comment: Final version. To appear in Indagationes Mathematica
The numerical duplication of a numerical semigroup
In this paper we present and study the numerical duplication of a numerical
semigroup, a construction that, starting with a numerical semigroup and a
semigroup ideal , produces a new numerical semigroup, denoted by
S\Join^b\E (where is any odd integer belonging to ), such that
S=(S\Join^b\E)/2. In particular, we characterize the ideals such that
is almost symmetric and we determine its type.Comment: 17 pages. Accepted for publication on: Semigroup Foru
The Design of the Fifth Answer Set Programming Competition
Answer Set Programming (ASP) is a well-established paradigm of declarative
programming that has been developed in the field of logic programming and
nonmonotonic reasoning. Advances in ASP solving technology are customarily
assessed in competition events, as it happens for other closely-related
problem-solving technologies like SAT/SMT, QBF, Planning and Scheduling. ASP
Competitions are (usually) biennial events; however, the Fifth ASP Competition
departs from tradition, in order to join the FLoC Olympic Games at the Vienna
Summer of Logic 2014, which is expected to be the largest event in the history
of logic. This edition of the ASP Competition series is jointly organized by
the University of Calabria (Italy), the Aalto University (Finland), and the
University of Genova (Italy), and is affiliated with the 30th International
Conference on Logic Programming (ICLP 2014). It features a completely
re-designed setup, with novelties involving the design of tracks, the scoring
schema, and the adherence to a fixed modeling language in order to push the
adoption of the ASP-Core-2 standard. Benchmark domains are taken from past
editions, and best system packages submitted in 2013 are compared with new
versions and solvers.
To appear in Theory and Practice of Logic Programming (TPLP).Comment: 10 page
Evidence of a Critical Phase Transition in Purely Temporal Dynamics with Long-Delayed Feedback
We wish to thank S. Lepri and A. Politi for useful discussions. MF and FG acknowledge support from EU Marie Curie ITN grant n. 64256 (COSMOS).Peer reviewedPublisher PD
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