Papers

2023

2022

G Chirco, G Pistone. Dually affine Information Geometry modeled on a Banach space. arXiv:2204.00917.
G Chirco, L Malagò, G Pistone. Lagrangian and Hamiltonian Dynamics for Probabilities on the Statistical Bundle. International Journal of Geometric Methods in Modern Physic (IJGMMP) doi: 10.1142/S0219887822502140. Revision of arXiv:2009.09431 [math.ST].
L Montrucchio, G Pistone. Kantorovich distance on finite metric spaces: Arens-Eells norm and CUT norms. Information Geometry 5, 209–245. Revision of arXiv:1905.07547
G Pistone. Affine statistical bundle modeled on a Gaussian Orlicz-Sobolev space. Information Geometry. doi 10.1007/s41884-022-00078-6.

2021

G Maculotti, G Pistone, G Vicario. Inference on errors in industrial parts: Kriging and variogram vs geometrical product specifications standard. Applied Stochastic Models in Business and Industry. 37(5) Special Issue: Statistics, Statistical Engineering, and Innovation for Industry 4.0 839-858.
G Pistone. Information Geometry of smooth densities on the Gaussian space: Poincaré inequalities. In F Nielsen ed. Progress in Information Geometry Springer doi 10.1007/978-3-030-65459-7.
G Pistone A Lecture about the Use of Orlicz Spaces in Information Geometry. In F Barbaresco and F Nielsen (Eds.) SPIGL 2020 PROMS 361, 179–195, doi 10.1007/978-3-030-77957-3 _10 arXiv
G Pistone Statistical Bundle of the Transport Model. In F Barbaresco and F Nielsen (Eds.) GSI 2021, LNCS 12829, 752–759, doi 10.1007/978-3-030-80209-7 _ 81
G Pistone, F Rapallo, MP Rogantin. Finite space Kantorovich problem with an MCMC of moves Electronic Journal of Statistics 15(1) 880-907.

2020

G Pistone Empirical variograms Poster presented at the Steering Workshop 2020, STATISTICS AND INNOVATION FOR INDUSTRY 4.0, Florence, FEB 20-21
G Pistone Information Geometry of the Probability Simplex: A Short Course NPCS (Nonlinear Phenomena in Complex Systems) 23(2), 221-242. Preprint arXiv:1911.01876 [math.ST].
G Pistone, G Vicario How to Model the Covariance Structure in a Spatial Framework: Variogram or Correlation Function? ch 10 in Data Analysis and Applications 167-183 doi:10.1002/9781119721611.

2019

R. Camerlo, G. Pistone, F. Rapallo. Modal operators and toric ideals. Journal of Logic and Computation. 29(5), 577-593. doi.org/10.1093/logcom/exz003.
C. Fassino, G. Pistone, M.P. Rogantin. Computing the Moments of the Complex Gaussian: Full and Sparse Covariance Matrix. Mathematics. 7(3) 263. doi:10.3390/math7030263
L. Montrucchio, G. Pistone. A Class of Non-parametric Deformed Exponential Statistical Models. In F. Nielsen Ed. Geometric Structures of Information Springer 15-35. doi:10.1007/978-3-030-02520-5.
L Montrucchio, G Pistone. Kantorovich distance on a weighted graph. arXiv:1905.07547 [math.PR].

2018

E. Bibbona, M. Gasparini, G. Pistone. The Empirical Identity Process: asymptotics and applications. Canadian Journal of Statistics 46(4) 654-672 doi:10.1002/cjs.11478
L. Malagò, L. Montrucchio, G. Pistone. Wasserstein-Riemannian Geometry of Positive-definite Matrices. Information Geometry 1(2) 137-179. doi: 10.1007/s41884-018-0014-4
G. Pistone. Lagrangian Function on the Finite State Space Statistical Bundle Entropy 2018 20 139 doi: 10.3390/e20020139
G. Pistone. Information Geometry of the Gaussian Space in Ay, Nihat, Gibilisco, Paolo, Matús, Frantisek Eds Information Geometry and Its Applications 119-155. doi: 10.1007/978-3-319-97798-0.
G. Vicario, G. Pistone. Simulated variogram-based error inspection of manufactured parts. Statistical Papers 59 1411-1423. doi:10.1007/s00362-018-1030-0

2017

D. Brigo and G. Pistone. Dimensionality reduction for measure valued evolution equations in statistical manifolds. In: Frank Nielsen, Franck Critchley, Christofer T.J. Dodson Ed.s, Computational Information Geometry. SIGNALS AND COMMUNICATION TECHNOLOGY, 217-265, Springer 2017. arXiv:1601.04189 [math.PR].
L. Montrucchio and G. Pistone. Deformed exponential bundle: the linear growth case. Geometric Science of Information. Nielsen, Frank, Barbaresco, Frédéric (Eds.). Springer pp. 239-246. Third International Conference, GSI 2017, Paris, France, November 7-9, 2017, Proceedings. arXiv:1709.01430
G. Pistone. Translations in the exponential Orlicz space with Gaussian weight. Geometric Science of Information. Nielsen, Frank, Barbaresco, Frédéric (Eds.). Springer pp. 569-576. Third International Conference, GSI 2017, Paris, France, November 7-9, 2017, Proceedings. arXiv:1708.09555

2016

D. Brigo and G. Pistone. Maximum likelihood eigenfunctions of the Fokker Planck equation and Hellinger projection. arXiv:1603.04348.
G. Pistone, G. Vicario. A note on Semivariogram. In Topics on Methodological and Applied Statistical Inference (T. Di Battista, E. Moreno, W. Racugno Eds). Springer 2016, 181-190. Extended version on a paper presented at the SIS Conference 2014 in Cagliari. ArXiv.
G. Vicario, G. Craparotta, G. Pistone. Meta-models in computer experiments: kriging vs artificial neural networks Quality and Reliability Engineering International. (2016) 32 2055–2065.

2015

B. Lods, G. Pistone. Information Geometry Formalism for the Spatially Homogeneous Boltzmann Equation. Entropy 2015, 17(6), 4323-4363; doi:10.3390/e17064323.
L. Malagò, G. Pistone. Gradient Flow of the Stochastic Relaxation on a Generic Exponential Family. In BAYESIAN INFERENCE AND MAXIMUM ENTROPY METHODS IN SCIENCE AND ENGINEERING (MAXENT 2014). No 1641 of AIP Conference Proceedings 2015 pp 353-360.
L. Malagò, G. Pistone. Natural Gradient Flow in the Mixture Geometry of a Discrete Exponential Family. Entropy 2015, 17(6), 4215-4254; doi:10.3390/e17064215.
L. Malagò, G. Pistone. Second-order Optimization over the Multivariate Gaussian Distribution. In Geometric Science of Information F. Barbaresco and F. Nielsen ed.s, Springer LNCS 9389 2015, 349-358.
S. Ruffa, G. Vicario, and G. Pistone. Analysis of the Covariance Structure in Manufactured Parts. Communications in Statistics—Theory and Methods 2015, 44(21), 4540-4551.
L. Malagò, G. Pistone. Information Geometry of the Gaussian Distribution in View of Stochastic Optimization. In Proceedings of FOGA '15, held on January 17-20, 2015, Aberystwyth, Wales, 2015.
G. Pistone, M.-P. Rogantin. The gradient flow of the polarization measure. With an appendix. arXiv:1502.06718. Extended version on a paper presented at the SIS Conference 2014 in Cagliari. Under revision.

2014

C. Fassino, G. Pistone, and E. Riccomagno The algebra of interpolatory cubature formulæ for generic nodes in Statistics and Computing July 2014, Volume 24, Issue 4, pp 615-632; preprint arXiv:1207.3143
L. Malagò, G. Pistone. Combinatorial Optimization with Information Geometry: Newton Method Entropy 2014, 16(8) pp 4260-4289.
L. Malagò, G. Pistone. " Optimization via Information Geometry." In Topics in Statistical Simulation. Research Papers from the 7th International Workshop on Statistical Simulation, V.B. Melas, Stefania Mignani, Paola Monari, Luigi Salmaso Editors Springer Proceedings in Mathematics & Statistics Volume 114, Springer 2014 pp 343-351 Text.

2013

R. Fontana and G. Pistone Algebraic Generation of Orthogonal Fractional Factorial Designs in Advances in Theoretical and Applied Statistics (Torelli, Nicola; Pesarin, Fortunato; Bar-Hen, Avner Eds) Springer 2013 61-71
G. Pistone and M.-P. Rogantin The algebra of reversible Markov chains in AISM 2013 65(2) 269-293; preprint arXiv:1007.4283
G. Pistone Examples of Application of Nonparametric Information Geometry to Statistical Physics in Entropy 15(10), 4042-4065
G. Pistone and G. Vicario Kriging Prediction from a Circular Grid: Application to Wafer Diffusion ASMBI 2013 29(4) 350-361 ; preprint
L. Malagò, M. Matteucci, G. Pistone Natural gradient, fitness modelling and model selection: A unifying perspective IEEE Congress on Evolutionary Computation 2013 486-493
G. Pistone Nonparametric Information Geometry in Geometric Science of Information LNCS 8085 Springer 2013 5-36; preprint arXiv:1306.0480.

Last modified: (2022-12-01 20:56:09 CET)