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Laura Meneghetti ,
2022 ,
A Reduced Order Approach for Artificial Neural Networks applied to Object Recognition
Advisor(s):Industrial Advisor: Daniele Turrin

Alessandro Scagliotti ,
20212022 ,
Ensembles of affinecontrol systems with applications to Deep Learning
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Dario Andrini ,
20212022 ,
Transient morphing and optimal shape design of synthetic and natural active structures
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Luigi De Masi ,
20212022 ,
Existence and properties of minimal surfaces and varifolds with contact angle conditions
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Nirav Vasant Shah ,
20212022 ,
Coupled parameterized reduced order modelling of thermomechanical phenomena arising in blast furnaces
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Sara Farinelli ,
20212022 ,
L^1optimal transport and functional inequalities in spaces with curvature dimension condition
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Stefano Baranzini ,
20212022
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Emanuele Caputo ,
20202021 ,
Existence and uniqueness of parallel transport on noncollapsed RCD(K,N) spaces
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Francesco Nobili ,
20202021 ,
Geometric and analytic properties of metric measure spaces through Sobolev calculus
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 Rigidity and almost rigidity of Sobolev inequalities on compact spaces with lower Ricci curvature bounds (2021)
 A Differential Perspective on Gradient Flows on CAT(K)Spaces and Applications (2021)
 On master test plans for the space of BV functions (2021)
 A firstorder condition for the independence on p of weak gradients (2021)

Francesco Sapio ,
20202021 ,
Dynamical models for viscoelastic materials in domains with a growing crack
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 An existence result for the fractional Kelvin–Voigt’s model on timedependent cracked domains (2021)
 A dynamic model for viscoelasticity in domains with timedependent cracks (2021)
 Quasistatic Limit of a Dynamic Viscoelastic Model with Memory (2021)
 A dynamic model for viscoelastic materials with prescribed growing cracks (2020)

Giuliano Klun ,
20202021 ,
Topological methods for the search of solutions of nonlinear equations. From planar systems to ordinary and partial differential equations
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 WellOrdered and NonWellOrdered Lower and Upper Solutions for Periodic Planar Systems (2021)
 Periodic Solutions of SecondOrder Differential Equations in Hilbert Spaces (2021)
 Nonwellordered lower and upper solutions for semilinear systems of PDEs (2021)
 On Dini derivatives of real functions (2021)
 On functions having coincident pnorms (2020)
 Periodic solutions of nearly integrable Hamiltonian systems bifurcating from infinitedimensional tori (2020)
 On the topological degree of planar maps avoiding normal cones (2019)

Ivan Yuri Violo ,
20202021 ,
Functional and geometric rigidities of RCD spaces and biLipschitz Reifenberg's theorem in metric spaces
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Marco Tezzele ,
20202021 ,
Datadriven parameter and model order reduction for industrial optimisation problems with applications in naval engineering
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 Kernelbased active subspaces with application to computational fluid dynamics parametric problems using discontinuous Galerkin method (2022)
 A supervised learning approach involving active subspaces for an efficient genetic algorithm in highdimensional optimization problems (2021)
 On the comparison of LES datadriven reduced order approaches for hydroacoustic analysis (2021)
 Hull Shape Design Optimization with Parameter Space and Model Reductions, and SelfLearning Mesh Morphing (2021)
 ATHENA: Advanced Techniques for High dimensional parameter spaces to Enhance Numerical Analysis (2021)
 Multifidelity data fusion for the approximation of scalar functions with low intrinsic dimensionality through active subspaces (2021)
 A local approach to parameter space reduction for regression and classification tasks (2021)
 Multifidelity data fusion through parameter space reduction with applications to automotive engineering (2021)
 Enhancing CFD predictions in shape design problems by model and parameter space reduction (2020)
 Reduced order isogeometric analysis approach for pdes in parametrized domains (2020)
 Advances in reduced order methods for parametric industrial problems in computational fluid dynamics (2020)
 Basic ideas and tools for projectionbased model reduction of parametric partial differential equations (2020)
 Kernelbased Active Subspaces with application to CFD parametric problems using Discontinuous Galerkin method (2020)
 A nonintrusive approach for the reconstruction of POD modal coefficients through active subspaces (2019)

Maria Strazzullo ,
20202021 ,
Model Order Reduction for Nonlinear and TimeDependent Parametric Optimal Flow Control Problems
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 Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier–Stokes equations with model order reduction (2022)
 Reduced Order Methods for Parametrized Nonlinear and Time Dependent Optimal Flow Control Problems, Towards Applications in Biomedical and Environmental Sciences (2021)
 Reduced Order Methods for Parametrized Nonlinear and Time Dependent Optimal Flow Control Problems, Towards Applications in Biomedical and Environmental Sciences (2021)
 A weighted PODreduction approach for parametrized PDEconstrained optimal control problems with random inputs and applications to environmental sciences (2021)
 A CERTIFIED REDUCED BASIS Method FOR LINEAR PARAMETRIZED PARABOLIC OPTIMAL CONTROL PROBLEMS IN SPACETIME FORMULATION (2021)
 AN EXTENDED PHYSICS INFORMED NEURAL NETWORK FOR PRELIMINARY ANALYSIS OF PARAMETRIC OPTIMAL CONTROL PROBLEMS (2021)
 Consistency of the full and reduced order models for EvolveFilterRelax Regularization of ConvectionDominated, MarginallyResolved Flows (2021)
 PODGalerkin Model Order Reduction for Parametrized Nonlinear Time Dependent Optimal Flow Control: an Application to Shallow Water Equations (2020)

Matteo Zancanaro ,
20202021 ,
Model order reduction for compressible turbulent flows: hybrid approaches in physics and geometry parametrization
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Tommaso Rossi ,
20202021 ,
Heat content asymptotics in subRiemannian geometry
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Carlo Scarpa ,
2020 ,
The HitchincscK system: an infinitedimensional hyperkähler reduction
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Nadir Fasola ,
2020 ,
Generalised instanton counting in two, three and four complex dimensions
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Boris Stupovski ,
20192020 ,
Existence of Riemannian metrics with positive biorthogonal curvature on simply connected 5manifolds
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Daniele Agostinelli ,
20192020 ,
Mathematical models for biological motility: From peristaltic crawling to plant nutations
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 Nutations in plant shoots: Endogenous and exogenous factors in the presence of mechanical deformations (2021)
 Nutations in growing plant shoots as a morphoelastic flutter instability (2021)
 MicroMotility: State of the art, recent accomplishments and perspectives on the mathematical modeling of biomotility at microscopic scales (2020)
 Nutations in growing plant shoots: The role of elastic deformations due to gravity loading (2019)
 Peristaltic Waves as Optimal Gaits in Metameric BioInspired Robots (2018)

Ekaterina Mukoseeva ,
20192020 ,
Second variation techniques for stability in geometric inequalities
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Federico Pichi ,
20192020 ,
Reduced order models for parametric bifurcation problems in nonlinear PDEs
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 Model order reduction for bifurcating phenomena in fluidstructure interaction problems (2022)
 Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier–Stokes equations with model order reduction (2022)
 Efficient computation of bifurcation diagrams with a deflated approach to reduced basis spectral element method (2020)
 A Reduced Order technique to study bifurcating phenomena: application to the GrossPitaevskii equation (2020)
 Reduced basis approaches for parametrized bifurcation problems held by nonlinear Von Kármán equations (2019)
 Reduced Basis Approximation and A Posteriori Error Estimation: Applications to Elasticity Problems in Several Parametric Settings (2018)

Filippo Riva ,
20192020 ,
On the quasistatic limit of some dynamical problems with dissipative terms
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 A vanishinginertia analysis for finitedimensional rateindependent systems with nonautonomous dissipation and an application to soft crawlers (2021)
 On the Approximation of Quasistatic Evolutions for the Debonding of a Thin Film via Vanishing Inertia and Viscosity (2020)
 Existence and uniqueness of dynamic evolutions for a one dimensional debonding model with damping (2018)

Flavia Santarcangelo ,
20192020 ,
Metric measure spaces satisfying curvaturedimension bounds: geometric and analytical properties
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Giovanni Corsi ,
20192020 ,
Fluidstructure interaction problems involving thin active shells and microswimmers
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Luca Franzoi ,
20192020 ,
Long time dynamics of Hamiltonian PDEs: linear KleinGordon and water waves equations
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Michele Stecconi ,
20192020 ,
Random Differential Topology
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Monica Nonino ,
20192020 ,
On the application of the Reduced Basis Method to FluidStructure Interaction problems
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 An optimisationbased domaindecomposition reduced order model for the incompressible NavierStokes equations (2022)
 A Reduced Order Cut Finite Element method for geometrically parametrized steady and unsteady Navier–Stokes problems (2021)
 A Monolithic and a Partitioned, Reduced Basis Method for Fluid–Structure Interaction Problems (2021)

Saddam Hijazi ,
20192020 ,
Reduced order methods for laminar and turbulent flows in a finite volume setting: projectionbased methods and datadriven techniques
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 The Effort of Increasing Reynolds Number in ProjectionBased Reduced Order Methods: from Laminar to Turbulent Flows (2020)
 Nonintrusive Polynomial Chaos Method Applied to FullOrder and Reduced Problems in Computational Fluid Dynamics: A Comparison and Perspectives (2020)
 Datadriven PODGalerkin reduced order model for turbulent flows (2020)
 PODGalerkin reduced order methods for CFD using Finite Volume Discretisation: vortex shedding around a circular cylinder (2017)

Xiao Han ,
20192020 ,
Quantum principal bundles, gauge groupoids and coherent Hopf 2Algebras
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