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Author ID: pistone.giovanni Recent zbMATH articles by "Pistone, Giovanni"
Published as: Pistone, Giovanni; Pistone, G.
External Links: MGP
Documents Indexed: 70 Publications since 1975, including 1 Book
Co-Authors: 28 Co-Authors with 56 Joint Publications
606 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 490 times in 267 Documents Cited by Year
Algebraic statistics. Computational commutative algebra in statistics. Zbl 0960.62003
Pistone, Giovanni; Riccomagno, Eva; Wynn, Henry P.
75
2001
A infinite-dimensional geometric structure on the space of all the probability measures equivalent to a given one. Zbl 0848.62003
Pistone, Giovanni; Sempi, Carlo
61
1995
Classification of two-level factorial fractions. Zbl 0977.62089
Fontana, Roberto; Pistone, Giovanni; Rogantin, Maria Piera
48
2000
Generalised confounding with Gröbner bases. Zbl 0928.62060
Pistone, Giovanni; Wynn, Henry P.
39
1996
Connections on non-parametric statistical manifolds by Orlicz space geometry. Zbl 0921.62004
Gibilisco, Paolo; Pistone, Giovanni
28
1998
Indicator function and complex coding for mixed fractional factorial designs. Zbl 1133.62055
Pistone, Giovanni; Rogantin, Maria-Piera
26
2008
The exponential statistical manifold: mean parameters, orthogonality and space transformations. Zbl 0947.62003
Pistone, Giovanni; Rogantin, Maria Piera
22
1999
Une formule d’isometrie pour l’intégrale stochastique hilbertienne et équations d’évolution linéaires stochastiques. Zbl 0325.60054
Metivier, Michel; Pistone, Giovanni
19
1975
Exponential statistical manifold. Zbl 1108.62003
Cena, Alberto; Pistone, Giovanni
18
2007
\(\kappa \)-exponential models from the geometrical viewpoint. Zbl 1188.82008
Pistone, G.
15
2009
Time-evolution of the probability density under the action of a deterministic dynamical system. Zbl 0475.70019
Bellomo, N.; Pistone, G.
9
1980
Sur une équation d’évolution stochastique. Zbl 0343.60040
Metivier, Michel; Pistone, Giovanni
8
1976
Examples of the application of nonparametric information geometry to statistical physics. Zbl 1346.35144
Pistone, Giovanni
8
2013
Finitely generated cumulants. Zbl 0958.62018
Pistone, Giovanni; Wynn, Henry P.
7
1999
Nonparametric information geometry. Zbl 1311.94023
Pistone, Giovanni
7
2013
Wasserstein Riemannian geometry of Gaussian densities. Zbl 1408.53058
Malagò, Luigi; Montrucchio, Luigi; Pistone, Giovanni
7
2018
The applications of computational algebraic geometry to the analysis of designed experiments: a case study. Zbl 0933.62070
Holliday, Tim; Pistone, Giovanni; Ricomagno, Eva; Wynn, Henry P.
6
1999
Dynamical systems with a large number of degrees of freedom: A stochastic mathematical analysis for a class of deterministic problems. Zbl 0406.34050
Bellomo, N.; Pistone, G.
6
1979
Information geometry formalism for the spatially homogeneous Boltzmann equation. Zbl 1338.94044
Lods, Bertrand; Pistone, Giovanni
6
2015
A class of non-parametric deformed exponential statistical models. Zbl 1420.62018
Montrucchio, Luigi; Pistone, Giovanni
6
2019
Combinatorial optimization with information geometry: the Newton method. Zbl 1338.90348
Malagò, Luigi; Pistone, Giovanni
5
2014
Natural gradient flow in the mixture geometry of a discrete exponential family. Zbl 1338.94030
Malagò, Luigi; Pistone, Giovanni
5
2015
Deformed exponential bundle: the linear growth case. Zbl 1426.58001
Montrucchio, Luigi; Pistone, Giovanni
5
2017
Confounding revisited with commutative computational algebra. Zbl 1021.62056
Galetto, Fausto; Pistone, Giovanni; Rogantin, Maria Piera
4
2003
The algebra of reversible Markov chains. Zbl 1440.62395
Pistone, Giovanni; Rogantin, Maria Piera
4
2013
Estimation of heat transfer coefficients in oscillating flows: the thermoacoustic case. Zbl 1189.76471
Piccolo, A.; Pistone, G.
4
2006
Information geometry of the probability simplex: a short course. Zbl 1452.94036
Pistone, Giovanni
4
2020
Information geometry of the Gaussian space. Zbl 1414.62034
Pistone, Giovanni
3
2018
Direct solution methods for a class of integral equations with random distribution of the inhomogeneous part. Zbl 0443.45014
Bellomo, N.; Pistone, G.
3
1979
Computational commutative algebra in discrete statistics. Zbl 1012.62003
Pistone, Giovanni; Riccomagno, Eva; Wynn, Henry P.
3
2001
Regular fractions and indicator polynomials. Zbl 1196.62105
Pistone, Giovanni; Rogantin, Maria Piera
3
2010
Algebraic Bayesian analysis of contingency tables with possibly zero-probability cells. Zbl 1132.62046
Consonni, Guido; Pistone, Giovanni
3
2007
Algebraic generation of orthogonal fractional factorial designs. Zbl 1300.62053
Fontana, Roberto; Pistone, Giovanni
3
2013
Finite space Kantorovich problem with an MCMC of table moves. Zbl 1479.62094
Pistone, Giovanni; Rapallo, Fabio; Rogantin, Maria Piera
2
2021
New ideas in nonparametric estimation. Zbl 1110.62316
Pistone, Giovanni
2
2001
Cumulant varieties. Zbl 1121.13033
Pistone, Giovanni; Wynn, Henry P.
2
2006
Algebraic statistics of level codings for fractional factorial designs. Zbl 1138.62337
Pistone, Giovanni; Rogantin, Maria-Piera
2
2008
Translations in the exponential Orlicz space with Gaussian weight. Zbl 1428.60039
Pistone, Giovanni
2
2017
Qualitative and numerical analysis of a non-linear differential equation with random initial conditions in statistical fluid mechanics. Zbl 0362.65067
Bellomo, N.; Loiodice, R.; Pistone, G.
1
1977
An algorithmic approach to DOE – geometrical methods. Zbl 0925.62348
Pistone, Giovanni
1
1996
Hierarchical bases and designed experiments. Zbl 1330.62317
Pistone, Giovanni
1
2002
Dynamical and nonautonomous systems with random initial conditions and kinetic interaction: Mathematical modelling of the evolution of the probability density. Zbl 0544.93061
Bellomo, N.; Pistone, G.
1
1983
2-level fractional factorial designs which are the union of non trivial regular designs. Zbl 1216.62120
Fontana, Roberto; Pistone, Giovanni
1
2010
Toric statistical models: Ising and Markov. Zbl 1341.62154
Pistone, Giovanni; Rogantin, Maria Piera
1
2012
A note on semivariogram. Zbl 1357.62028
Pistone, Giovanni; Vicario, Grazia
1
2016
Towards the geometry of estimation of distribution algorithms based on the exponential family. Zbl 1369.90114
Malagò, Luigi; Matteucci, Matteo; Pistone, Giovanni
1
2011
The algebra of interpolatory cubature formulæ for generic nodes. Zbl 1325.62148
Fassino, Claudia; Pistone, Giovanni; Riccomagno, Eva
1
2014
de Finetti’s theorem, sufficiency, and Dobrushin’s theory. Zbl 0491.62005
Accardi, L.; Pistone, G.
1
1982
Finite space Kantorovich problem with an MCMC of table moves. Zbl 1479.62094
Pistone, Giovanni; Rapallo, Fabio; Rogantin, Maria Piera
2
2021
Information geometry of the probability simplex: a short course. Zbl 1452.94036
Pistone, Giovanni
4
2020
A class of non-parametric deformed exponential statistical models. Zbl 1420.62018
Montrucchio, Luigi; Pistone, Giovanni
6
2019
Wasserstein Riemannian geometry of Gaussian densities. Zbl 1408.53058
Malagò, Luigi; Montrucchio, Luigi; Pistone, Giovanni
7
2018
Information geometry of the Gaussian space. Zbl 1414.62034
Pistone, Giovanni
3
2018
Deformed exponential bundle: the linear growth case. Zbl 1426.58001
Montrucchio, Luigi; Pistone, Giovanni
5
2017
Translations in the exponential Orlicz space with Gaussian weight. Zbl 1428.60039
Pistone, Giovanni
2
2017
A note on semivariogram. Zbl 1357.62028
Pistone, Giovanni; Vicario, Grazia
1
2016
Information geometry formalism for the spatially homogeneous Boltzmann equation. Zbl 1338.94044
Lods, Bertrand; Pistone, Giovanni
6
2015
Natural gradient flow in the mixture geometry of a discrete exponential family. Zbl 1338.94030
Malagò, Luigi; Pistone, Giovanni
5
2015
Combinatorial optimization with information geometry: the Newton method. Zbl 1338.90348
Malagò, Luigi; Pistone, Giovanni
5
2014
The algebra of interpolatory cubature formulæ for generic nodes. Zbl 1325.62148
Fassino, Claudia; Pistone, Giovanni; Riccomagno, Eva
1
2014
Examples of the application of nonparametric information geometry to statistical physics. Zbl 1346.35144
Pistone, Giovanni
8
2013
Nonparametric information geometry. Zbl 1311.94023
Pistone, Giovanni
7
2013
The algebra of reversible Markov chains. Zbl 1440.62395
Pistone, Giovanni; Rogantin, Maria Piera
4
2013
Algebraic generation of orthogonal fractional factorial designs. Zbl 1300.62053
Fontana, Roberto; Pistone, Giovanni
3
2013
Toric statistical models: Ising and Markov. Zbl 1341.62154
Pistone, Giovanni; Rogantin, Maria Piera
1
2012
Towards the geometry of estimation of distribution algorithms based on the exponential family. Zbl 1369.90114
Malagò, Luigi; Matteucci, Matteo; Pistone, Giovanni
1
2011
Regular fractions and indicator polynomials. Zbl 1196.62105
Pistone, Giovanni; Rogantin, Maria Piera
3
2010
2-level fractional factorial designs which are the union of non trivial regular designs. Zbl 1216.62120
Fontana, Roberto; Pistone, Giovanni
1
2010
\(\kappa \)-exponential models from the geometrical viewpoint. Zbl 1188.82008
Pistone, G.
15
2009
Indicator function and complex coding for mixed fractional factorial designs. Zbl 1133.62055
Pistone, Giovanni; Rogantin, Maria-Piera
26
2008
Algebraic statistics of level codings for fractional factorial designs. Zbl 1138.62337
Pistone, Giovanni; Rogantin, Maria-Piera
2
2008
Exponential statistical manifold. Zbl 1108.62003
Cena, Alberto; Pistone, Giovanni
18
2007
Algebraic Bayesian analysis of contingency tables with possibly zero-probability cells. Zbl 1132.62046
Consonni, Guido; Pistone, Giovanni
3
2007
Estimation of heat transfer coefficients in oscillating flows: the thermoacoustic case. Zbl 1189.76471
Piccolo, A.; Pistone, G.
4
2006
Cumulant varieties. Zbl 1121.13033
Pistone, Giovanni; Wynn, Henry P.
2
2006
Confounding revisited with commutative computational algebra. Zbl 1021.62056
Galetto, Fausto; Pistone, Giovanni; Rogantin, Maria Piera
4
2003
Hierarchical bases and designed experiments. Zbl 1330.62317
Pistone, Giovanni
1
2002
Algebraic statistics. Computational commutative algebra in statistics. Zbl 0960.62003
Pistone, Giovanni; Riccomagno, Eva; Wynn, Henry P.
75
2001
Computational commutative algebra in discrete statistics. Zbl 1012.62003
Pistone, Giovanni; Riccomagno, Eva; Wynn, Henry P.
3
2001
New ideas in nonparametric estimation. Zbl 1110.62316
Pistone, Giovanni
2
2001
Classification of two-level factorial fractions. Zbl 0977.62089
Fontana, Roberto; Pistone, Giovanni; Rogantin, Maria Piera
48
2000
The exponential statistical manifold: mean parameters, orthogonality and space transformations. Zbl 0947.62003
Pistone, Giovanni; Rogantin, Maria Piera
22
1999
Finitely generated cumulants. Zbl 0958.62018
Pistone, Giovanni; Wynn, Henry P.
7
1999
The applications of computational algebraic geometry to the analysis of designed experiments: a case study. Zbl 0933.62070
Holliday, Tim; Pistone, Giovanni; Ricomagno, Eva; Wynn, Henry P.
6
1999
Connections on non-parametric statistical manifolds by Orlicz space geometry. Zbl 0921.62004
Gibilisco, Paolo; Pistone, Giovanni
28
1998
Generalised confounding with Gröbner bases. Zbl 0928.62060
Pistone, Giovanni; Wynn, Henry P.
39
1996
An algorithmic approach to DOE – geometrical methods. Zbl 0925.62348
Pistone, Giovanni
1
1996
A infinite-dimensional geometric structure on the space of all the probability measures equivalent to a given one. Zbl 0848.62003
Pistone, Giovanni; Sempi, Carlo
61
1995
Dynamical and nonautonomous systems with random initial conditions and kinetic interaction: Mathematical modelling of the evolution of the probability density. Zbl 0544.93061
Bellomo, N.; Pistone, G.
1
1983
de Finetti’s theorem, sufficiency, and Dobrushin’s theory. Zbl 0491.62005
Accardi, L.; Pistone, G.
1
1982
Time-evolution of the probability density under the action of a deterministic dynamical system. Zbl 0475.70019
Bellomo, N.; Pistone, G.
9
1980
Dynamical systems with a large number of degrees of freedom: A stochastic mathematical analysis for a class of deterministic problems. Zbl 0406.34050
Bellomo, N.; Pistone, G.
6
1979
Direct solution methods for a class of integral equations with random distribution of the inhomogeneous part. Zbl 0443.45014
Bellomo, N.; Pistone, G.
3
1979
Qualitative and numerical analysis of a non-linear differential equation with random initial conditions in statistical fluid mechanics. Zbl 0362.65067
Bellomo, N.; Loiodice, R.; Pistone, G.
1
1977
Sur une équation d’évolution stochastique. Zbl 0343.60040
Metivier, Michel; Pistone, Giovanni
8
1976
Une formule d’isometrie pour l’intégrale stochastique hilbertienne et équations d’évolution linéaires stochastiques. Zbl 0325.60054
Metivier, Michel; Pistone, Giovanni
19
1975
all top 5

Cited by 299 Authors

26 Pistone, Giovanni
13 Rapallo, Fabio
11 Fontana, Roberto
11 Rogantin, Maria Piera
10 Wynn, Henry P.
8 Aoki, Satoshi
7 Dinwoodie, Ian Hepburn
7 Riccomagno, Eva
6 Yang, Po
5 Bellomo, Nicola
5 Li, Wuchen
5 Newton, Nigel J.
5 Sturmfels, Bernd
5 Takemura, Akimichi
5 Trivellato, Barbara
5 Zhang, Jun
4 Balakrishnan, Narayanaswamy
4 Gibilisco, Paolo
4 Görgen, Christiane
4 Liu, Min-Qian
4 Majewski, Wladyslaw Adam
4 Maruri-Aguilar, Hugo
4 Naudts, Jan
4 Qin, Hong
4 Streater, Raymond F.
3 Bertrand, Frédéric
3 Cavalcante, Charles Casimiro
3 Evangelaras, Haralambos
3 Grasselli, Matheus R.
3 Gzyl, Henryk
3 Isola, Tommaso
3 Katsaounis, Tena I.
3 Koukouvinos, Christos
3 Labuschagne, Louis E.
3 Li, Hongyi
3 Lin, Chang-Yun
3 Marinelli, Carlo
3 Montrucchio, Luigi
3 Ou, Zujun
3 Recht, Lázaro A.
3 Riganti, Riccardo
3 Sáenz de Cabezón Irigaray, Eduardo
3 Siri, Paola
2 Amari, Shun-ichi
2 Bonzani, Ida
2 Carlini, Enrico
2 Curtain, Ruth Frances
2 Dean, Angela M.
2 Dostoglou, Stamatis
2 Dukkipati, Ambedkar
2 Giglio, Beatrice
2 Hino, Hideitsu
2 Jenčová, Anna
2 Jørgensen, Bent Søren
2 Kaniadakis, Giorgio
2 Kim, Jong Uhn
2 Kokonendji, Célestin Clotaire
2 Korezlioglu, Hayri
2 Krampe, Anne
2 Kuhnt, Sonja
2 Ladde, Gangaram S.
2 Lapenta, Serafina
2 Li, William Wei-Liang
2 Malagò, Luigi
2 Matsuzoe, Hiroshi
2 Mexia, João Tiago Praça Nunes
2 Notari, Roberto
2 Ohara, Atsumi
2 Pang, Fang
2 Rizzi, Guido
2 Santacroce, Marina
2 Smith, Jim Q.
2 Sullivant, Seth
2 Vigelis, Rui Facundo
2 Wada, Tatsuaki
2 Ye, Kenny Q.
2 Yoshida, Ruriko
1 Absil, Pierre-Antoine
1 Acquistapace, Paolo
1 Akaho, Shotaro
1 Alrashed, Maryam H. A.
1 Andai, Attila
1 Andrade, Luiza H. F.
1 Andruchow, Esteban
1 Antonacci, Fabio
1 Antunes, Patrícia
1 Arango Parra, Juan C.
1 Arboretti Giancristofaro, Rosa
1 Armstrong, John
1 Asperti, Carlo
1 Ay, Nihat
1 Bachoc, François
1 Bailey, Rosemary A.
1 Baklouti, M.
1 Balgeshir, Mohammad Bagher Kazemi
1 Barbu, Viorel
1 Bates, Ron A.
1 Bazan, Erick Rodriguez
1 Belavkin, Roman V.
1 Bensadon, Jérémy
...and 199 more Authors
all top 5

Cited in 105 Serials

24 Journal of Statistical Planning and Inference
16 Information Geometry
14 Annals of the Institute of Statistical Mathematics
10 Entropy
9 Infinite Dimensional Analysis, Quantum Probability and Related Topics
8 Journal of Symbolic Computation
7 Journal of Mathematical Analysis and Applications
7 Metrika
7 Mathematics and Computers in Simulation
7 Journal of Statistical Theory and Practice
5 Statistical Papers
4 International Journal of Heat and Mass Transfer
4 Journal of Mathematical Physics
4 The Annals of Statistics
4 Probability Theory and Related Fields
4 Communications in Statistics. Theory and Methods
4 Computational Statistics and Data Analysis
4 Statistics and Computing
3 Scandinavian Journal of Statistics
3 Journal of Functional Analysis
3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
3 Stochastic Analysis and Applications
3 Bernoulli
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Lithuanian Mathematical Journal
2 Physica A
2 Reports on Mathematical Physics
2 Stochastics
2 Statistics & Probability Letters
2 Revista Matemática Iberoamericana
2 International Journal of Approximate Reasoning
2 Computational Statistics
2 Journal of Statistical Computation and Simulation
2 Linear Algebra and its Applications
2 Statistical Methods and Applications
1 Modern Physics Letters B
1 Journal of Mathematical Biology
1 Journal of Statistical Physics
1 Psychometrika
1 Bulletin of Mathematical Biology
1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques
1 Applied Mathematics and Computation
1 Applied Mathematics and Optimization
1 Illinois Journal of Mathematics
1 Information Sciences
1 Journal of Algebra
1 Journal of Applied Probability
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
1 Journal of the London Mathematical Society. Second Series
1 Journal of Mathematical Psychology
1 Journal of Multivariate Analysis
1 Journal of Soviet Mathematics
1 Mathematica Slovaca
1 Proceedings of the American Mathematical Society
1 Transactions of the American Mathematical Society
1 Journal of Complexity
1 Journal of Theoretical Probability
1 Mathematical and Computer Modelling
1 MCSS. Mathematics of Control, Signals, and Systems
1 Journal of Scientific Computing
1 Sugaku Expositions
1 Journal of Global Optimization
1 Applied Mathematical Modelling
1 Bulletin of the American Mathematical Society. New Series
1 Computers and Mathematics with Applications. Part A
1 Applicable Algebra in Engineering, Communication and Computing
1 SIAM Journal on Optimization
1 Journal of Nonlinear Science
1 Calculus of Variations and Partial Differential Equations
1 Monte Carlo Methods and Applications
1 Annals of Mathematics and Artificial Intelligence
1 Balkan Journal of Geometry and its Applications (BJGA)
1 Mathematical Finance
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 Open Systems & Information Dynamics
1 Positivity
1 Algebras and Representation Theory
1 Annals of Combinatorics
1 International Journal of Theoretical and Applied Finance
1 Journal of Applied Statistics
1 Journal of Discrete Mathematical Sciences & Cryptography
1 Communications in Nonlinear Science and Numerical Simulation
1 Methodology and Computing in Applied Probability
1 Annales Henri Poincaré
1 Brazilian Journal of Probability and Statistics
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of the Australian Mathematical Society
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Journal of Cosmology and Astroparticle Physics
1 Statistical Methodology
1 The European Physical Journal B. Condensed Matter and Complex Systems
1 Complex Analysis and Operator Theory
1 Advances in Mathematics of Communications
1 AStA. Advances in Statistical Analysis
1 Electronic Journal of Statistics
1 Japanese Journal of Mathematics. 3rd Series
1 Advances in Mathematical Physics
1 Mathematical Programming Computation
1 Nonlinear Phenomena in Complex Systems (Minsk)
...and 5 more Serials
all top 5

Cited in 43 Fields

143 Statistics (62-XX)
78 Probability theory and stochastic processes (60-XX)
37 Commutative algebra (13-XX)
35 Numerical analysis (65-XX)
33 Differential geometry (53-XX)
28 Functional analysis (46-XX)
28 Information and communication theory, circuits (94-XX)
19 Combinatorics (05-XX)
16 Statistical mechanics, structure of matter (82-XX)
15 Quantum theory (81-XX)
11 Algebraic geometry (14-XX)
10 Computer science (68-XX)
9 Global analysis, analysis on manifolds (58-XX)
9 Operations research, mathematical programming (90-XX)
8 Partial differential equations (35-XX)
8 Systems theory; control (93-XX)
7 Fluid mechanics (76-XX)
6 Operator theory (47-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Biology and other natural sciences (92-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Measure and integration (28-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Group theory and generalizations (20-XX)
3 Ordinary differential equations (34-XX)
3 Mechanics of particles and systems (70-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
1 History and biography (01-XX)
1 Nonassociative rings and algebras (17-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Integral equations (45-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of deformable solids (74-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)

Citations by Year