Pietro Sabatino

Italian National Research Council | CNR · Institute for High Performance Computing and Networking ICAR

We investigate finite, non-abelian quotients $G$ of the pure braid group on two strands $\mathsf{P}_2(\Sigma_b)$, where $\Sigma_b$ is a closed Riemann surface of genus $b$, which do not factor through $\pi_1(\Sigma_b \times \Sigma_b)$. Building on our previous work on some special systems of generators on finite groups that we called \emph{diagonal...

Process Outcome Prediction entails predicting a discrete property of an unfinished process instance from its partial trace. High-capacity outcome predictors discovered with ensemble and deep learning methods have been shown to achieve top accuracy performances, but they suffer from a lack of transparency. Aligning with recent efforts to learn inher...

In this paper, a framework based on a sparse Mixture of Experts (MoE) architecture is proposed for the federated learning and application of a distributed classification model in domains (like cybersecurity and healthcare) where different parties of the federation store different subsets of features for a number of data instances. The framework is...

(Process) Outcome Prediction entails predicting a discrete property of an unfinished process instance from its partial trace. Various outcome predictors discovered via Machine Learning (ML) methods, like rule/tree ensembles and (deep) neural networks, have achieved top accuracy performances. However, their opaqueness makes them unsuitable for scena...

n the dynamic field of IoT, where technologies like Bluetooth and WiFi are prevalent in home and office settings, proactively managing disasters is critical. This paper introduces an innovative system for expert recommendation in disaster recovery during crisis events, implementing robust data validation mechanisms, fostering transparency, promotin...

Let \(\Sigma _b\) be a closed Riemann surface of genus b. We give an account of some results obtained in the recent papers [6, 18, 19] and concerning what we call here pure braid quotients, namely, non-abelian finite groups appearing as quotients of the pure braid group on two strands \(\textsf{P}_2(\Sigma _b)\). We also explain how these groups ca...

Let X , D be a smooth projective surface and a simple normal crossing divisor on X , respectively. Suppose \kappa (X, K_X + D)\ge 0 , let C be an irreducible curve on X whose support is not contained in D and \alpha a rational number in [ 0, 1 ] . Following Miyaoka, we define an orbibundle \mathcal{E}_\alpha as a suitable free subsheaf of log diffe...

We study some special systems of generators on finite groups, introduced in previous work by the first author and called diagonal double Kodaira structures , in order to investigate finite non-abelian quotients of the pure braid group on two strands $${\mathsf {P}}_2(\Sigma _b)$$ P 2 ( Σ b ) , where $$\Sigma _b$$ Σ b is a closed Riemann surface of...

Let $\Sigma_b$ be a closed Riemann surface of genus $b$. We give an account of some results obtained in the recent papers \cite{CaPol19, Pol20, PolSab21} and concerning what we call here \emph{pure braid quotients},namely non-abelian finite groups appearing as quotients of the pure braid group on two strands $\mathsf{P}_2(\Sigma_b)$. We also explai...

We study some special systems of generators on finite groups, introduced in previous work by the first author and called "diagonal double Kodaira structures", in order to investigate non-abelian, finite quotients of the pure braid group on two strands $\mathsf{P}_2(\Sigma_b)$, where $\Sigma_b$ is a closed Riemann surface of genus $b$. Our main resu...

Providing an accurate rainfall estimate at individual points is a challenging problem in order to mitigate risks derived from severe rainfall events, such as floods and landslides. Dense networks of sensors, named rain gauges (RGs), are typically used to obtain direct measurements of precipitation intensity in these points. These measurements are u...

We study weak solutions to degenerate quasilinear elliptic equations, involving first order terms, in unbounded tubular domains. In particular we show that, under suitable hypotheses, the weak comparison principle holds if the domain is narrow enough.

Modern intrusion detection systems must be able to discover new types of attacks in real-time. To this aim, automatic or semi-automatic techniques can be used; outlier detection algorithms are particularly apt to this task, as they can work in an unsupervised way. However, due to the different nature and behavior of the attacks, the performance of...

Let $X$, $D$ be a smooth projective surface and a simple normal crossing divisor on $X$, respectively. Suppose $\kappa (X, K_X + D)\ge 0$, let $C$ be an irreducible curve on $X$ whose support is not contained in $D$ and $\alpha$ a rational number in $ [ 0, 1 ]$. Following Miyaoka, we define an orbibundle $\mathcal{E}_\alpha$ as a suitable free subs...

We study weak solutions to degenerate quasilinear elliptic equations, involving first order terms, in unbounded tubular domains. In particular we show that, under suitable hypotheses, the weak comparison principle holds if the domain is narrow enough.

The Human Behavioral Analysis is a growing research area due to its big impact on several scientific and industrial applications. One of the most popular family of techniques addressing this problem is the Latent Factor Modeling which aims at identifying interesting features that determine human behavior. In most cases, latent factors are used to r...

Among many weather phenomena, convective storms are one of the most dangerous since they are able to cause, in a relatively small time window, great damages. Convective precipitations are in fact characterized by relatively small spatial and temporal scales, and as a consequence, the task of forecasting such phenomena turns out to be an elusive one...

Unbalanced classes, the ability to detect changes in real-time, the speed of the streams and other peculiar characteristics make most of the data mining algorithms not apt to operate with datasets in the cyber security domain. To overcome these issues, we propose an ensemble-based algorithm, using a distributed Genetic Programming framework to gene...

Modern intrusion detection systems must handle many complicated issues in real-time, as they have to cope with a real data stream; indeed, for the task of classification, typically the classes are unbalanced and, in addition, they have to cope with distributed attacks and they have to quickly react to changes in the data. Data mining techniques and...

Modern network intrusion detection systems must be able to handle large and fast changing data, often also taking into account real-time requirements. Ensemble-based data mining algorithms and their distributed implementations are a promising approach to these issues. Therefore, this work presents the current state of the art of the ensemble-based...

We investigate the existence of complete intersection threefolds X⊂ℙ^n with only isolated, ordinary multiple points and we provide some sufficient conditions for their factoriality.

We present a complete classification of complex projective surfaces X with nontrivial self-maps (i.e. surjective morphisms f:X→X which are not isomorphisms) of any given degree. Our starting point are results contained in Fujimoto (Publ. Res. Inst. Math. Sci. 38(1):33–92, 2005) and Nakayama (Kyushu J. Math. 56(2):433–446, 2002), they provide a list...

In this paper we consider homaloidal polynomial functions f such that their multiplicative Legendre transform f *, defined as in Etingof et al. (Sel. Math. (N.S.) 8(1):27–66, 2002), Section 3.2 is again polynomial. Following Dolgachev (Michigan Math. J. 48:191–202, 2000), we call such polynomials EKP-homaloidal. We prove that every EKP-homaloidal p...

Denote by ν m (d) the maximal integer for which there exists for d >> 0{d \gg 0} a threefold X Ì \mathbbP5{X\subset \mathbb{P}^5} complete intersection of hypersurfaces of degree respectively d and d − 1 such that X has only ordinary singularities of order m and |Sing(X)|=ν m (d). We prove that, nm(d) ³ j(d){\nu_m(d)\ge \varphi(d)} where j(d) ~...

Let X⊂ℙ N be a smooth irreducible non degenerate surface over the complex numbers, N≥4. We define the projective genus of X, denoted by PG(X), as the geometric genus of the singular curve of the projection of X from a general linear subspace of codimension four. Denote by g(X) the sectional genus of X. In this paper we conjecture that the only surf...

Let X _ P6 be a smooth irreducible projective threefold, and d its degree. In this paper we prove that there exists a constant _ such that for all X containing a smooth ruled surface as hyperplane section and not contained in a fourfold of degree less than or equal to 15, d _ _. Under some more restrictive hypothesis we prove an analogous result fo...

Let V be a reduced and irreducible hypersurface of degree k≥3. In this paper we prove that if the singular locus of V consists of δ 2 ordinary double points, δ 3 ordinary triple points and if δ 2 +4δ 3 <(k-1) 2 , then any smooth surface contained in V is a complete intersection on V. This extends a result of C. Ciliberto and V. Di Gennaro [in: Alge...