[HTML][HTML] Pure and mixed lexicographic-paretian many-objective optimization: state of the art
This work aims at reviewing the state of the art of the field of lexicographic multi/many-
objective optimization. The discussion starts with a review of the literature, emphasizing the …
objective optimization. The discussion starts with a review of the literature, emphasizing the …
[HTML][HTML] Game Theory for Unmanned Vehicle Path Planning in the Marine Domain: State of the Art and New Possibilities
Thanks to the advent of new technologies and higher real-time computational capabilities,
the use of unmanned vehicles in the marine domain has received a significant boost in the …
the use of unmanned vehicles in the marine domain has received a significant boost in the …
[PDF][PDF] Non-standard analysis revisited: an easy axiomatic presentation oriented towards numerical applications
V Benci, M Cococcioni, L Fiaschi - International Journal of …, 2022 - intapi.sciendo.com
Alpha-Theory was introduced in 1995 to provide a simplified version of Robinson's non-
standard analysis which overcomes the technicalities of symbolic logic. The theory has been …
standard analysis which overcomes the technicalities of symbolic logic. The theory has been …
Uncertain stochastic hybrid zero-sum games based on forward uncertain difference equations and backward stochastic difference equations
We investigate the interplay between forward uncertain difference equations and backward
stochastic difference equations, which belong to distinct mathematical frameworks …
stochastic difference equations, which belong to distinct mathematical frameworks …
[HTML][HTML] A non-archimedean interior point method and its application to the lexicographic multi-objective quadratic programming
L Fiaschi, M Cococcioni - Mathematics, 2022 - mdpi.com
This work presents a generalized implementation of the infeasible primal-dual interior point
method (IPM) achieved by the use of non-Archimedean values, ie, infinite and infinitesimal …
method (IPM) achieved by the use of non-Archimedean values, ie, infinite and infinitesimal …
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 …
according to the recently introduced BAN format. Such an encoding allows one to represent …
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 …
(LMOLP) can be transformed into an equivalent, single-objective one, by using the …
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 …
exploiting vector instructions in general-purpose processors. With the use of this encoding, it …
Check for updates 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 generalpurpose processors. With the use of this encoding, it …
exploiting vector instructions in generalpurpose processors. With the use of this encoding, it …
Check for updates 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 …
according to the recently introduced BAN format. Such an encoding allows one to represent …