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  1. No Access

    Chapter and Conference Paper

    Speeding Up Non-archimedean Numerical Computations Using AVX-512 SIMD Instructions

    This work presents the acceleration of a Bounded Algorithmic Number (BAN) library exploiting vector instructions in general-purpose processors. With the use of this encoding, it is possible to represent non-Ar...

    Lorenzo Fiaschi, Federico Rossi in Applications in Electronics Pervading Indu… (2024)

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    Chapter and Conference Paper

    Towards Formal Verification of Neural Networks in Cyber-Physical Systems

    Machine Learning approaches have been successfully used for the creation of high-performance control components of cyber-physical systems, where the control dynamics result from the combination of many subsyst...

    Federico Rossi, Cinzia Bernardeschi, Marco Cococcioni in NASA Formal Methods (2024)

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    Chapter and Conference Paper

    Design and FPGA Synthesis of BAN Processing Unit for Non-Archimedean Number Crunching

    This work presents the design and synthesis of a processing unit for numbers encoded according to the recently introduced BAN format. Such an encoding allows one to represent numbers which are not only finite ...

    Federico Rossi, Lorenzo Fiaschi in Applications in Electronics Pervading Indu… (2023)

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    Chapter and Conference Paper

    Experiments on Speeding Up the Recursive Fast Fourier Transform by Using AVX-512 SIMD Instructions

    The Fast Fourier Transform is probably one of the most studied algorithms of all time. New techniques regarding hardware and software are often applied and tested on it, but the interest in FFT is still large bec...

    Giacomo Sansone, Marco Cococcioni in Applications in Electronics Pervading Indu… (2023)

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    Chapter and Conference Paper

    Decoding-Free Two-Input Arithmetic for Low-Precision Real Numbers

    In this work, we present a novel method for directly computing functions of two real numbers using logic circuits without decoding; the real numbers are mapped to a particularly-chosen set of integer numbers. ...

    John L. Gustafson, Marco Cococcioni, Federico Rossi in Next Generation Arithmetic (2023)

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    Chapter and Conference Paper

    Experimental Results of Vectorized Posit-Based DNNs on a Real ARM SVE High Performance Computing Machine

    With the pervasiveness of deep neural networks in scenarios that bring real-time requirements, there is the increasing need for optimized arithmetic on high performance architectures. In this paper we adopt tw...

    Marco Cococcioni, Federico Rossi in Applications in Electronics Pervading Indu… (2022)

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    Chapter

    On the Use of Grossone Methodology for Handling Priorities in Multi-objective Evolutionary Optimization

    This chapter introduces a new class of optimization problems, called Mixed Pareto-Lexicographic Multi-objective Optimization Problems (MPL-MOPs), to provide a suitable model for scenarios where some objectives...

    Leonardo Lai, Lorenzo Fiaschi in Numerical Infinities and Infinitesimals i… (2022)

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    Chapter

    Computing Optimal Decision Strategies Using the Infinity Computer: The Case of Non-Archimedean Zero-Sum Games

    As is well known, zero-sum games are appropriate instruments for the analysis of several issues across areas including economics, international relations and engineering, among others. In particular, the Nash ...

    Marco Cococcioni, Lorenzo Fiaschi in Numerical Infinities and Infinitesimals i… (2022)

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    Chapter and Conference Paper

    Small Reals Representations for Deep Learning at the Edge: A Comparison

    The pervasiveness of deep neural networks (DNNs) in edge devices enforces new requirements on information representation. Low precision formats from 16 bits down to 1 or 2 bits have been proposed in the last y...

    Marco Cococcioni, Federico Rossi, Emanuele Ruffaldi in Next Generation Arithmetic (2022)

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    Chapter

    Multi-objective Lexicographic Mixed-Integer Linear Programming: An Infinity Computer Approach

    In this chapter we show how a lexicographic multi-objective linear programming problem (LMOLP) can be transformed into an equivalent, single-objective one, by using the Grossone Methodology. Then we provide a ...

    Marco Cococcioni, Alessandro Cudazzo in Numerical Infinities and Infinitesimals i… (2022)

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    Chapter and Conference Paper

    Handling Priority Levels in Mixed Pareto-Lexicographic Many-Objective Optimization Problems

    This paper studies a class of mixed Pareto-Lexicographic multi-objective optimization problems where the preference among the objectives is available in different priority levels (PLs) before the start of the opt...

    Leonardo Lai, Lorenzo Fiaschi in Evolutionary Multi-Criterion Optimization (2021)

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    Chapter and Conference Paper

    Grossone Methodology for Lexicographic Mixed-Integer Linear Programming Problems

    In this work we have addressed lexicographic multi-objective linear programming problems where some of the variables are constrained to be integer. We have called this class of problems LMILP, which stands for...

    Marco Cococcioni, Alessandro Cudazzo in Numerical Computations: Theory and Algorit… (2020)

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    Chapter and Conference Paper

    Generalizing Pure and Impure Iterated Prisoner’s Dilemmas to the Case of Infinite and Infinitesimal Quantities

    In this work, a generalization of both Pure and Impure iterated Prisoner’s Dilemmas is presented. More precisely, the generalization concerns the use of non-Archimedean quantities, i.e., payoffs that can be in...

    Lorenzo Fiaschi, Marco Cococcioni in Numerical Computations: Theory and Algorithms (2020)

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    Chapter and Conference Paper

    A Fast Approximation of the Hyperbolic Tangent When Using Posit Numbers and Its Application to Deep Neural Networks

    Deep Neural Networks (DNNs) are being used in more and more fields. Among the others, automotive is a field where deep neural networks are being exploited the most. An important aspect to be considered is the ...

    Marco Cococcioni, Federico Rossi in Applications in Electronics Pervading Indu… (2020)

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    Chapter

    mspMEA: The Microcones Separation Parallel Multiobjective Evolutionary Algorithm and Its Application to Fuzzy Rule-Based Ship Classification

    This chapter presents a new parallel multiobjective evolutionary algorithm, based on the island model, where the objective space is exploited to distribute the individuals among the processors. The algorithm, ...

    Marco Cococcioni in Recent Advances in Computational Intelligence in Defense and Security (2016)

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    Chapter

    Towards Efficient Multi-objective Genetic Takagi-Sugeno Fuzzy Systems for High Dimensional Problems

    Multi-objective genetic Takagi-Sugeno (TS) fuzzy systems use multiobjective evolutionary algorithms to generate a set of fuzzy rule-based systems of the TS type with different trade-offs between, generally, co...

    Marco Cococcioni, Beatrice Lazzerini in Computational Intelligence in Expensive Op… (2010)

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    Chapter and Conference Paper

    Modelling a Team of Radiologists for Lung Nodule Detection in CT Scans

    This paper describes a system for automatic detection of pulmonary nodules in lung CT (Computed Tomography) images. After modelling the activity of a single radiologist as two subsequent phases, namely, the re...

    Michela Antonelli, Marco Cococcioni in Knowledge-Based Intelligent Information an… (2007)

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    Chapter and Conference Paper

    Identification of Takagi-Sugeno Fuzzy Systems Based on Multi-objective Genetic Algorithms

    In this paper we exploit multi-objective genetic algorithms to identify Takagi-Sugeno (TS) fuzzy systems that show simultaneously high accuracy and low complexity. Using this approach, we approximate the Paret...

    Marco Cococcioni, Pierluigi Guasqui, Beatrice Lazzerini in Fuzzy Logic and Applications (2006)

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    Chapter and Conference Paper

    An Artificial Olfactory System for Quality and Geographical Discrimination of Olive Oils

    In this paper we present an artificial olfactory system for classification and recognition of both quality and geographical origin of olive oil. The olfactory system employs a set of metal oxide sensors. Two d...

    Marco Cococcioni, Beatrice Lazzerini in Knowledge-Based Intelligent Information an… (2003)