Sums-of-squares Polyconvexity
Authors: Ajay Murali, Giovanni Fantuzzi
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: June 11, 2026
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Activation Saturation and Jacobian Attenuation in Neural Ordinary Differential Equations
Authors: Nikolaos M. Matzakos
Affiliation: ASPETE
Date: May 31, 2026
Topic: Neural ODEs
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Optimal control for renormalized solutions of nonlinear evolution equations
Authors: Pedro Blöss Braga
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: April 1, 2026
Topic: Optimal control
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Network design and control: Shape and topology optimization for the turnpike property for the wave equation
Authors: Martin Gugat, Meizhi Qian, Jan Sokolowski
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg / IECL, Université de Lorraine
Date: March 17, 2026
Topic: Optimal control
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Reinforcement Learning and LQR with special control structure: switched and multilevel systems
Authors: Nicolas Schlosser
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: March 16, 2026
Topic: Reinforcement Learning and LQR
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Exact Controllability of Stochastic First-Order Multi-Dimensional Hyperbolic Systems
Authors: Yu Wang
Affiliation: Southwest Jiaotong University
Date: March 11, 2026
Topic: Exact Controllability, hyperbolic systems
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Optimal Output Regulation for General Linear Systems via Adaptive Dynamic Programming
Authors: Yanzhi Wu
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: February 27, 2026
Topic: Optimization
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Aggregation of Finite-Valued Networks Based on Bisimulation
Authors: Zhengping Ji
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: February 26, 2026
Topic: ASSR, bisimulation
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In search of the origins of matrix multiplication
Authors: Jerzy Respondek
Affiliation: Silesian University of Technology
Date: February 5, 2026
Topic: matrices, determinants
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Sentiment Analysis with Transformers
Authors: Albert Alcalde, Giovanni Fantuzzi
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: November 14, 2025
Topic: Transformer models
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A domain decomposition framework for coupling physics-based and data-driven models in multi-physics problems
Authors: Giulia Sambataro, Enrique Zuazua
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: August 18, 2025
Topic: Domain decomposition, machine learning, data-driven
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Evaluating client contribution in Federated learning
Authors: Daniel Kuznetsov
Affiliation: ENS Paris-Saclay
Date: July 29, 2025
Topic: Federated learning
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A relaxed splitting method for solving variational inclusion and fixed point problems
Authors: Kanokwan Kratuloek
Affiliation: King Mongkut’s University of Technology Thonburi
Date: July 26, 2025
Topic: optimization, inverse problems, equilibrium theory, image processing, machine learning
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Control of a Lotka-Volterra System with Weak Competition
Authors: Maicon Sônego, Enrique Zuazua
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: July 4, 2025
Topic: Lotka-Volterra model
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Mathematical modeling and numerical simulations for Gas Dynamics (on Networks)
Authors: Sol G. Montero Carrasco
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: June 25, 2025
Topic: partial differential equations (PDEs)
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HYCO: The hybrid-collapse strategy for time-independent PDEs
Authors: Matthys Jacobus Steynberg
Affiliation: Schaeffler. FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: May 29, 2025
Topic: time-independent partial differential equations (PDEs)
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Hybrid parabolic-hyperbolic effect for heat equations with memory
Authors: Yubiao Zhang
Affiliation: Tianjin University
Date: May 21, 2025
Topic: control, partial differential equations (PDEs)
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Boundary and Interior Control in a Diffusive Lotka-volterra Model
Authors: João Carlos Fernandes Barreira
Affiliation: CAPES/DAAD. FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: May 20, 2025
Topic: Control in a Diffusive Lotka-volterra Model
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Optimal control of Fokker-Planck and transport equations using renormalized solutions
Authors: Christian Lange
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: April 30, 2025
Topic: Optimal control of Fokker-Planck, renormalized solutions
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Mathematics & Philosophy: On the philosophical foundations of mathematics and its role as a structural science
Authors: Christopher Sorg
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: April 25, 2025
Topic: Mathematics, Philosophy
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Federated Learning for Systems Identification
Authors: Noémie Turmel
Affiliation: University of Paris-Saclay
Date: March 20, 2025
Topic: Federated Learning
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3−wave turbulence kinetics: Numerical approach for energy cascading
Authors: Arijit Das
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: March 10, 2025
Topic: Theory of wave
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How to steer a fleet of agents by controlling only a few: A mean-field approach
Authors: Enrico Sartor
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: February 25, 2025
Topic: Control
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Clustering in discrete-time self-attention
Authors: Lucas Versini
Affiliation: École Polytechnique
Date: January 30, 2025
Topic: Deep Learning, Transformers, self-attention
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Low-rank balanced truncation of bilinear systems via Laguerre functions
Authors: Zhihua Xiao, Qiuyan Song, Yao-Lin Jiang, Zhen-Zhong Qi
Affiliation: Yangtze University
Date: September 12, 2024
Topic: partial differential equations (PDEs), Carleman linearization
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Generalization bounds for neural ODEs: A user-friendly guide
Authors: Lucas Versini
Affiliation: École Polytechnique
Date: August 6, 2024
Topic: neural ODEs
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Clustering in pure-attention hardmax transformers and its role in sentiment analysis
Authors: Albert Alcalde
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: July 3, 2024
Topic: transformers
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Partially dissipative hyperbolic systems without Fourier analysis
Authors: Ling-Yun Shou
Affiliation: Nanjing University of Aeronautics and Astronautics
Date: April 30, 2024
Topic: hyperbolic systems, numerical simulation
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A Turnpike Result for Optimal Boundary Control Problems with the Transport Equation under Uncertainty
Authors: Noboru Sakamoto, Michael Schuster
Affiliation: Nanzan University, FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: March 18, 2024
Topic: Turnpike, Optimal Boundary Control
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PINNs Introductory Code for the Heat Equation
Authors: Ziqi Wang, Martín Hernández Salinas
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: December 1, 2023
Topic: Physics Informed Neural Networks (PINNs)
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Limits of the stabilization of a networked hyperbolic system with a circle
Authors: Martin Gugat, Xu Huang
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: November 3, 2023
Topic: networked hyperbolic system, gas transportation
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Stability of hyperbolic systems with non-symmetric partial dissipation
Authors: Timothée Crin-Barat
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: September 29, 2023
Topic: hyperbolic systems
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Neural ODEs for interpolation and transport: From tight to shallow
Authors: Arselane Hadj Slimane
Affiliation: ENS Paris-Saclay
Date: August 11, 2023
Topic: Neural ODEs
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Combined convection and diffusion in a network. A numerical analysis
Authors: Dragoș Manea
Affiliation: Simion Stoilow Mathematical Institute
Date: August 4, 2023
Topic: convection, diffusion
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The ADMM-PINNs Algorithmic Framework for Nonsmooth PDE-Constrained Optimization: A Deep Learning Approach
Authors: Yongcun Song
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: July 12, 2023
Topic: Alternating direction method of multipliers (ADMM), physics-informed neural networks (PINNs)
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Reinforcement learning as a new perspective into controlling physical systems
Authors: Theïlo Terrisse
Affiliation: L’Ecole des Ponts ParisTech
Date: July 3, 2023
Topic: Reinforcement learning
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Null controllability for population dynamics with age, size structuring and diffusion
Authors: Yacouba Simpore
Affiliation: University of Fada N’Gourma
Date: June 27, 2023
Topic: controllability
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Breaking the symmetry with Robin boundary conditions
Authors: Alba Lia Masiello
Affiliation: University of Naples Federico II
Date: May 3, 2023
Topic: PDEs, Robin boundary conditions
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Convolutional autoencoders for very low-dimensional parametrizations of nonlinear fluid flow
Authors: Jan Heiland
Affiliation: MPI for Dynamics of Complex Technical Systems / OvG University Magdeburg
Date: April 1, 2023
Topic: control, nonlinearity
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Torsional Rigidity: Classical and new results
Authors: Gloria Paoli
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: March 13, 2023
Topic: Torsional rigidity
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Federated Learning: Protect your data and privacy
Authors: Ziqi Wang
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: December 20, 2022
Topic: Federated Learning, data privacy
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Breaking the curse of dimensionality with Barron spaces
Authors: Antonio Álvarez López
Affiliation: UAM, Autonomous University of Madrid
Date: December 14, 2022
Topic: Barron spaces
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Stability results for the KdV equation with time-varying delay
Authors: Hugo Parada Ríos
Affiliation: IDEX Université Grenoble Alpes
Date: December 1, 2022
Topic: waves, Korteweg-de Vries equation (KdV)
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Approximating the 1D wave equation using Physics Informed Neural Networks (PINNs)
Authors: Dania Sana
Affiliation: FAU MoD, Research Center for Mathematics of Data at Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: September 30, 2022
Topic: PDES, PINNS, Physics Informed Neural Networks, predictions
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Gas networks at stationary states: Analysis, software and visualization
Authors: Veronika Riedl
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: August 5, 2022
Topic: gas networks, stationary states
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Sheep Herding Game
Authors: Daniël Veldman
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: July 30, 2022
Topic: dynamic optimization, game
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Lloyd’s Algorithm
Authors: Martín Hernández Salinas
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: July 23, 2022
Topic: Lloyd’s algorithm
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Using the support function for optimal shape design
Authors: Ilias Ftouhi
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: July 12, 2022
Topic: optimization
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Uniform Turnpike Property
Authors: Martín Hernández Salinas
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: May 9, 2022
Topic: Turnpike
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The interplay of control and deep learning
Authors: Borjan Geshkovski
Affiliation: MIT, Massachusetts Institute of Technology
Date: April 7, 2022
Topic: Deep Learning, machine learning
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Nonlinear hyperbolic systems: Modeling, controllability and applications
Authors: Yue Wang
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: February 24, 2022
Topic: control theory, hyperbolic systems
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Kinetic theory of Bose Einstein Condensates
Authors: Minh-Binh Tran
Affiliation: Southern Methodist University
Date: January 20, 2022
Topic: Kinetic theory, Bose Einstein
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pyGasControls library (simulation software)
Authors: Martin Gugat, Enrique Zuazua, Aleksey Sikstel
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: January 3, 2022
Topic: nonlinear hyperbolic system, gas transportation networks, continuum mechanics,
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Hamilton-Jacobi Equations: Inverse Design
Authors: Carlos Esteve Yagüe
Affiliation: Deusto CCM
Date: December 16, 2021
Topic: inverse design, nonlinearity, Hamilton-Jacobi Equations
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Random Batch Methods for Linear-Quadratic Optimal Control Problems
Authors: Daniël Veldman
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: December 14, 2021
Topic: Random Batch Methods, optimization, optimal control problem
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Augmented Lagragian preconditioners for incompressible flow
Authors: Alexei Gazca
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: December 9, 2021
Topic: linear systems, PDEs, Laplace problem, Augmented Lagragian preconditioners
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Transition Layers in Elliptic Equations
Authors: Maicon Sônego
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: November 17, 2021
Topic: stable transition layer, elliptic equations, unbalanced bistable function
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Randomized time-splitting in linear-quadratic optimal control
Authors: Daniël Veldman
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: September 30, 2021
Topic: Neural Networks, NNs, optimal control, optimization
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Felix Klein: A Legacy of Innovation in Mathematics and Education
Authors: Roberto Rodríguez del Río
Affiliation: Complutense University of Madrid | IES San Mateo, Madrid
Date: July 13, 2021
Topic: Symmetry, Group Theory, Parallel Postulate, geometry, euclidean models for Non-euclidean geometries
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Control of Advection-Diffusion Equations on Networks and Singular Limits
Authors: Jon Asier Bárcena-Petisco, Márcio Cavalcante, Giuseppe Maria Coclite, Nicola de Nitti, Enrique Zuazua
Affiliation: DeustoCCM, Federal University of Alagoas, Poliba, FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: June 30, 2021
Topic: control, advection-diffusion equations
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Probabilistic Constrained Optimization on Flow Networks
Authors: Michael Schuster
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: May 7, 2021
Topic: optimization, flow networks
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Perceptrons, Neural Networks and Dynamical Systems
Authors: Sergi Andreu
Affiliation: DeustoCCM
Date: March 24, 2021
Topic: data classification, Neural Networks, NNs, homeomorphism, ResNets
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Deep Learning and Paradigms
Authors: Sergi Andreu
Affiliation: DeustoCCM
Date: March 1, 2021
Topic: Deep Learning, supervised learning, optimization
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Opening the black box of Deep Learning
Authors: Sergi Andreu
Affiliation: DeustoCCM
Date: February 24, 2021
Topic: Machine Learning, Neural Networks, NNs, Deep Learning, supervised learning, optimization
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Averaged dynamics and control for heat equations with random diffusion
Authors: Jon Asier Bárcena Petisco, Enrique Zuazua
Affiliation: DeustoCCM, FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: January 11, 2021
Topic: control, heat equation, averaged dynamic
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pyGasControls Framework
Authors: Martin Gugat, Enrique Zuazua, Aleksey Sikstel
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: December 17, 2020
Topic: optimization, gas transportation networks, simulation software
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Model-based optimization of ripening processes with feedback modules
Authors: Michele Spinola
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: December 16, 2020
Topic: optimization, chemical engineering, nonlocal population balance equations, PBEs
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Gas networks uncertainty and Probust constraints: model, distribution and optimization
Authors: Martin Gugat
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: November 23, 2020
Topic: uncertainty, optimization, gas transportation networks
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Q-learning for finite-dimensional problems
Authors: Carlos Esteve Yagüe
Affiliation: DeustoCCM
Date: November 4, 2020
Topic: optimization, optimal control problem, Q-learning, Machine Learning, Reinforcement Learning, RL, Supervised Learning, Unsupervised Learning
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The interplay of control and Deep Learning
Authors: Borjan Geshkovski
Affiliation: DeustoCCM
Date: October 13, 2020
Topic: control, Deep Learning
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Neural networks and Machine Learning
Authors: Marius Yamakou
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: October 1, 2020
Topic: Neural networks, Machine Learning, Computational Neurosciences, AI, neurodegenerative diseases
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Stochastic Synchronization of Chaotic Neurons
Authors: Marius Yamakou
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: September 23, 2020
Topic: control, chaotic systems, Krasovskii-Lyapunov stability theory
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Nonlocal population balance equations and applications
Authors: Michele Spinola
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: September 22, 2020
Topic: optimization, control, balance equations (PBEs)
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Inverse Design for Hamilton-Jacobi Equations
Authors: Carlos Esteve Yagüe, Enrique Zuazua
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: September 14, 2020
Topic: mathematical modelling, inverse design, Hamilton-Jacobi Equations
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Stochastic Neural Dynamics
Authors: Marius Yamakou
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: August 31, 2020
Topic: nonlinear dynamical systems theory, probability theory, numerical simulations
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Controllability properties of fractional PDE
Authors: Umberto Biccari
Affiliation: DeustoCCM
Date: July 23, 2020
Topic: controllability, PDEs, fractional heat equation
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Flows on Networks
Authors: Enrique Zuazua, Nicola de Nitti
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: July 9, 2020
Topic: PDEs, partial differential equations, model networks
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Stochastic optimization for simultaneous control
Authors: Umberto Biccari
Affiliation: DeustoCCM
Date: June 24, 2020
Topic: control, optimization, linear ODE
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Convexity and Starshapedness of feasible sets in Stationary Flow Networks
Authors: Martin Gugat, Michael Schuster
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: June 11, 2020
Topic: gas networks, mathematical modelling, simulation, optimization
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Collective dynamics modelling, Control and Simulation
Authors: Dongnam Ko
Affiliation: DeustoCCM
Date: June 3, 2020
Topic: control, simulation, dynamics modelling
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Data-Driven COVID Modeling
Authors: Cyprien Neverov
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: May 14, 2020
Topic: modeling, covid19, corona, compartmental epidemiological models, SIR model, ODE
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Non-local population balance equations
Authors: Michele Spinola
Affiliation: FAU DCN-AvH, Friedrich-Alexander-Universität Erlangen-Nürnberg
Date: April 27, 2020
Topic: balance equations
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