Faculty

Institution

Unit

Venue

Irene Fonseca

Kavçić-Moura University Professor of Mathematics Director of Center for Nonlinear Analysis

Carnegie Mellon University

Affiliations

Mellon College of Science

Mathematical Sciences

Irene Fonseca is currently serving as a Mathematical Sciences Kavçić-Moura University Professor of Mathematics Director of Center for Nonlinear Analysis at Carnegie Mellon University.

Honors

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Experiences

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Education

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Irene Fonseca

Carnegie Mellon University

Kavçić-Moura University Professor of Mathematics Director of Center for Nonlinear Analysis

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

-Convergence and Stochastic Homogenization for Functionals in the -Free Setting. (2025)

stochastic processstochastic differential equationsconvex analysismathematicsasymptotic analysisentropyapplied mathematicsfunction spacesergodic theorystatistical physicsstochastic calculusoperator theorystochastic phenomenaintegrable probabilityspectral theorymathematical sciencesprobability theorystochastic partial differential equationsstatistical mechanicsstochastic dynamical systemsfunctional analysis

Homogenization and Phase Separation With Fixed Wells—the Supercritical Case. SIAM Journal on Mathematical Analysis (2025)

phase transitionsfluid mechanicsmultiphase flowsheat mass transferfluid dynamicsphase separationfluid flowsupercritical flowsapplied physicshomogenization (chemistry)

Monotonicity of the Jump Set and Jump Amplitudes in One-Dimensional Tv Denoising. JOURNAL OF NONLINEAR SCIENCE (2025)

computational imagingwave nonlinearitywaveletsapplied mathematicsdeconvolutionnonlinear phenomenadigital signal processinginverse problemsabstract and applied analysisnonlinear dynamicsspectral theorysignal processingnonlinear signal processingnonlinear analysisfunctional analysisfiltering techniquevideo denoisingnonlinear sciencespatial filtering

Motion of Islands of Elastic Thin Films in the Dewetting Regime. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2025)

nanotribologyinterface (matter)fluid sciencefrictionelasticity (physics)mechanics of materialsmaterials sciencedewateringmechanical propertiessoft mattermechanical engineeringinterface sciencesolid mechanicsnanomechanicstribologymechanical sciencedeformationcomposite interfacemechanicsmaterial researchsurface tensionapplied physics

Second-Order $Γ$-Limit for the Cahn-Hilliard Functional With Dirichlet Boundary Conditions, I. arXiv (Cornell University) (2025)

calculus of variationsgeometric analysisboundary value problemspotential theoryasymptotic analysiscomputational physicsdifferential equationsapplied mathematicsfractional calculusparabolic equationsstatistical physicsmathematical analysismathematical physicsnonlinear functional analysisspectral theorypartial differential equationsstatistical mechanicsnonlinear analysisfunctional analysisdirichlet form

Second-Order -Limit for the Cahn-Hilliard Functional With Dirichlet Boundary Conditions, I. (2025)

calculus of variationspartial differential equationsdifferential equationsboundary value problemsmathematical physicsnonlinear functional analysisoperator theoryfractional calculusabstract and applied analysisnonlinear analysispotential theoryfunctional analysisordinary differential equationsspectral theoryelliptic equationsdirichlet form

Dyadic Partition-Based Training Schemes for Tv/Tgv Denoising. (2024)

digital image processingsignal processingcomputational imagingapplied mathematicsimage denoisingdata scienceinformation fusiondigital signal processingvideo denoising

Dyadic Partition-Based Training Schemes for Tv/Tgv Denoising. Journal of Mathematical Imaging and Vision (2024)

Elisa DavoliRita FerreiraIrene FonsecaJosé A. Iglesias

digital image processingcomputational imagingapplied mathematicsimage denoisingimage analysiscomputer sciencedigital signal processingcomputer visionvideo restorationimage restorationsignal reconstructionvideo denoisingmachine vision

Adaptive Image Processing: First Order Pde Constraint Regularizers and a Bilevel Training Scheme. Journal of Nonlinear Science (2023)

Elisa DavoliIrene FonsecaPan Liu

partial differential equationscomputational imagingapplied mathematicsmathematical physicsadaptive image processingbilevel training schemenonlinear sciencepde-constrained optimization

Adaptive Image Processing: First Order Pde Constraint Regularizers and a Bilevel Training Scheme. JOURNAL OF NONLINEAR SCIENCE (2023)

image representationcomputational imagingimage analysismedical image computingmultimedia information processingconvex analysisregularization (mathematics)applied mathematicsnumerical analysisrobust featuresimage enhancementinverse problemsnumerical linear algebrapattern recognitionpde-constrained optimizationdigital image processingpartial differential equationsglobal optimizationimage restorationnumerical algorithms

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Irene Fonseca

Kavçić-Moura University Professor of Mathematics Director of Center for Nonlinear Analysis

Carnegie Mellon University

Affiliations

Mellon College of Science

Mathematical Sciences

Irene Fonseca is currently serving as a Mathematical Sciences Kavçić-Moura University Professor of Mathematics Director of Center for Nonlinear Analysis at Carnegie Mellon University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Irene Fonseca

Carnegie Mellon University

Kavçić-Moura University Professor of Mathematics Director of Center for Nonlinear Analysis

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

-Convergence and Stochastic Homogenization for Functionals in the -Free Setting. (2025)

Homogenization and Phase Separation With Fixed Wells—the Supercritical Case. SIAM Journal on Mathematical Analysis (2025)

phase transitionsfluid mechanicsmultiphase flowsheat mass transferfluid dynamicsphase separationfluid flowsupercritical flowsapplied physicshomogenization (chemistry)

Monotonicity of the Jump Set and Jump Amplitudes in One-Dimensional Tv Denoising. JOURNAL OF NONLINEAR SCIENCE (2025)

Motion of Islands of Elastic Thin Films in the Dewetting Regime. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2025)

Second-Order $Γ$-Limit for the Cahn-Hilliard Functional With Dirichlet Boundary Conditions, I. arXiv (Cornell University) (2025)

Second-Order -Limit for the Cahn-Hilliard Functional With Dirichlet Boundary Conditions, I. (2025)

Dyadic Partition-Based Training Schemes for Tv/Tgv Denoising. (2024)

digital image processingsignal processingcomputational imagingapplied mathematicsimage denoisingdata scienceinformation fusiondigital signal processingvideo denoising

Dyadic Partition-Based Training Schemes for Tv/Tgv Denoising. Journal of Mathematical Imaging and Vision (2024)

Elisa DavoliRita FerreiraIrene FonsecaJosé A. Iglesias

Adaptive Image Processing: First Order Pde Constraint Regularizers and a Bilevel Training Scheme. Journal of Nonlinear Science (2023)

Elisa DavoliIrene FonsecaPan Liu

partial differential equationscomputational imagingapplied mathematicsmathematical physicsadaptive image processingbilevel training schemenonlinear sciencepde-constrained optimization

Adaptive Image Processing: First Order Pde Constraint Regularizers and a Bilevel Training Scheme. JOURNAL OF NONLINEAR SCIENCE (2023)

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numerical mathematics

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general systems

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