M. Torrente, P. Uberti, On a General Class of Portfolio Diversification Measures Induced by Risk Measures, Annals of Operation Research (2026). DOI: https://doi.org/10.1007/s10479-026-07153-6.
M. Torrente, P. Uberti, The reasons why maximum diversification is better than minimum risk, including in terms of risk, Journal of Asset Mangement (26) (2025), pp. 642–675. DOI: https://doi.org/10.1057/s41260-025-00420-4
S.Federico, G. Ferrari, M.Torrente, Irreversible reinsurance: minimization of capital injections in presence of a fixed cost, Mathematics and Financial Economics 18 (2024), pp. 707–733. DOI:https://doi.org/10.1007/s11579-024-00373-z
S. Federico, G. Ferrari, M. Torrente, Optimal vaccination in a SIRS epidemic model, Economic Theory 77 (2024), pp. 49-74. DOI:10.1007/s00199-022-01475-9
M. Torrente, P. Uberti, Risk-adjusted geometric diversified portfolios, Quality & Quantity 58 (2024), pp. 35-33. DOI:10.1007/s11135-023-01631-w
M. Torrente, Optimal proportional and excess-of-loss reinsurance for multiple classes of insurance business, Decisions in Economics and Finance 46 (2023), pp. 611-633. DOI:10.1007/s10203-023-00398-x
M. Torrente, P. Uberti, A Rescaling Technique to Improve Numerical Stability of Portfolio Optimization Problems, Soft Computing 27 (2023), pp. 12831 - 12842. DOI: 10.1007/s00500-021-06543-1.
C. Fassino, M. Torrente, P. Uberti, A Singular Value Decomposition Based Approach to Handle Ill-Conditioning in Optimization Problems with Applications to Portfolio Theory, Chaos, Solitons & Fractlas 165(1) (2022). DOI: 10.1016/j.chaos.2022.112746
M. Torrente, P. Uberti, Connectedness Versus Diversification: two Sides of the Same Coin, Mathematics and Financial Economics 15 (2021), pp. 639-655. DOI: 10.1007/s11579-021-00291-4.
M.C. Beltrametti, A. Logar, M. Torrente, Quartic monoid surfaces with maximum number of lines, Journal of Symbolic Computation 109 (2022), pp. 250-258. DOI: 10.1016/j.jsc.2020.07.005.
M. Maggi, M. Torrente, P. Uberti, Proper measures of connectedness, Annals of Finance 16 (2020), pp. 547 - 571. DOI: 10.1007/s10436-020-00363-3.
M.C. Beltrametti, C. Campi, A.M. Massone, M. Torrente, Geometry of the Hough Transforms with Applications to Synthetic Data, Mathematics in Computer Science (2020). DOI: 10.1007/s11786-020-00470-4.
M.C. Beltrametti, J.R. Sendra, J. Sendra, M. Torrente, Moore-Penrose approach in the Hough transform framework, Applied Mathematics and Computation, Vol. 375 (2020). DOI: 10.1016/j.amc.2020.125083.
S. Figini, P. Uberti, M. Torrente, Model of Models: a new perspective to deal with model uncertainty, Far East Journal of Theoretical Statistics, Vol. 57, Issue 2 (2019), pp. 143 - 170.
C. Gosio, E.C. Lari, M. Ravera, M. Torrente, Dividends and Dynamic Solvency Insurance in Two-Dimensional Risk Models, Modern Economy Vol. 9, Issue 12 (2018), pp. 2104 - 2118.
M. Torrente, M.C. Beltrametti, J.R. Sendra, r-norm bounds and metric properties for zero loci of real analytic functions, Journal of Computational and Applied Mathematics Vol. 336 (2018), pp. 375 - 393. DOI: 10.1016/j.cam.2018.01.001.
M. Torrente, S. Biasotti, B. Falcidieno, Recognition of feature curves on 3D shapes using an algebraic approach to Hough transforms, Pattern Recognition, Vol. 43, Supplement C (2018), pp. 111 - 130. DOI: 10.1016/j.patcog.2017.08.008.
M. Torrente, M. Varbaro, Computing the Betti table of a monomial ideal: a reduction algorithm, Journal of Symbolic Computation 87 (2018), pp. 87 - 98. DOI:10.1016/j.jsc.2017.06.001.
M. Torrente, M.C. Beltrametti, J.R. Sendra, Perturbation of polynomials and applications to the Hough transform, Journal of Algebra, Vol. 486 (2017), pp. 328 - 359. DOI: 10.1016/j.jalgebra.2017.04.011.
E. Saggini, M. Torrente, An Euclidean norm based criterion to assess robots' 2D path-following performance, Journal of Algebraic Statistics, Vol. 7, No. 1 (2016), pp. 45 - 71. DOI: 10.18409/jas.v7i1.48.
M. Torrente, M. C. Beltrametti, A.J. Sommese, Perturbation results on the zero-locus of a polynomial, Journal of Symbolic Computation, Vol. 80, No. 2 (2017), pp. 307 - 328. DOI: 10.1016/j.jsc.2016.04.001.
M. Torrente, M. C. Beltrametti, Almost vanishing polynomials and an application to the Hough transform, Journal of Algebra and its Applications, Vol. 13, No. 8 (2014). DOI: 10.1142/S0219498814500571.
L. Robbiano, M. Torrente, Zero-Dimensional Families of Polynomial Systems, Le Matematiche 68 (2013), no. 1, pp. 137 - 164. DOI: 10.4418/2013.68.1.12.
C. Fassino, M. Torrente, Simple Varieties for Limited Precision Points, Theoretical Computer Science 479 (2013), pp. 174 - 186. DOI:10.1016/j.tcs.2012.10.024.
F. Ricceri, C. Fassino, G. Matullo, M. Roggero, M. Torrente, P. Vineis, L. Terracini, Algebraic methods for studying interactions between epidemiological variables, Mathematical Modelling of Natural Phenomena, 7 (2012), no. 3, pp. 227 - 252. DOI: 10.1051/mmnp/20127314.
C. Fassino, M. Torrente, Zero-dimensional ideals of limited precision points, ACM Communications in Computer Algebra, 46 (2012), no. 3, issue 181. DOI: 10.1145/2429135.2429148.
J.A. Abbott, C. Fassino, M. Torrente, Stable Border Bases of Ideals of Points, Journal of Symbolic Computation, 43 (2008), no. 12, pp. 883 - 894. DOI: 10.1016/j.jsc.2008.05.002.
J.A. Abbott, C. Fassino, M. Torrente, Thinning Out Redundant Empirical Data, Mathematics in Computer Science, 1 (2007), no.2, pp. 375 - 392. DOI: 10.1007/s11786-007-0020-8.
E.C. Lari, M. Ravera, M. Torrente, On Multidimensional Risk Models with Lower and Upper Barriers. In: Current Aspects in Business, Economics and Finance, Vol. 7, pp. 41-52, 2023. ISBN: 9788119039142. DOI: 10.9734/bpi/cabef/v7/3843B.
C. Fassino, M. Torrente, P. Uberti, Numerical Stability of Optimal Mean Variance Portfolios, Mathematical and Statistical Methods for Actuarial Sciences and Finance-eMAF 2020, M. Corazza, M. Gilli, C. Perna, C. Pizzi, M. Sibillo (eds), Springer, 2021, pp. 209-215. DOI: 10.1007/978-3-030-78965-7_31.
M. Torrente, S. Biasotti, B. Falcidieno, Feature identification in archaeological fragments using families of algebraic curves, 14th EUROGRAPHICS Workshop on Graphics and Cultural Heritage 2016, Genova, Italy, 5-7 October 2016. Eurographics Digital Library.
M. Torrente, Rational Normal Curves as Set-theoretic Complete Intersections of Quadrics, in Lecture Notes in Computer Science, LNCS 8942, Proceedings del workshop "Computer Algebra and Polynomials'' nell'ambito del Special Semester on Applications of Algebra and Number Theory, RICAM, Linz, November 25-29, 2013. DOI: 10.1007/978-3-319-15081-9_12.
E. Saggini, M. Torrente, E. Riccomagno, M. Bibuli, G. Bruzzone, M. Caccia, E. Zereik, Assessing path-following performance for Unmanned Marine Vehicles with algorithms from Numerical Commutative Algebra, IEEE Control and Automation (MED), 2014 22nd Mediterranean Conference of, University of Palermo, Palermo, Italy, June 16-19, 2014, pp. 752 - 757. DOI: 10.1109/MED.2014.6961464.
M. Torrente, Perturbation results on polynomials zero-loci, in EACA Conference Proceedings - Meetings on Computer Algebra and Applications, Institut d'Estudis Catalans, Barcelona, 18-20 Giugno, 2014 reperibile alla pagina http://www.ub.edu/eaca2014/program.html.
M. Riggio, M. Santini, R. De Amicis, M. Torrente, Use of X-ray tomography and CAD techniques for ``morphology-based" wood elements models, Proceedings of IDMEE-Virtual Concept 2010, Bordeaux France, 20-22 Ottobre 2010. In: Research in Interactive Design, X. Fischer, J.O. Nadeau (Eds), Springer, 2010, Vol.3,