SRI - Center for Uncertainty Quantification in Computational Science & Engineering

On the optimal polynomial approximation of stochastic PDEs by Galerkin and collocation methods
**Authors:**
J. Beck, Raul Tempone, Fabio Nobile, L. Tamellini

Refereed Journals
**Year:**
2012

- Uncertainty Quantification
- PDEs with random data
- elliptic equations
- multivariate polynomial approximation
- best M-terms polynomial approximation
- stochastic Galerkin methods
- Smolyak approximation
- Sparse grids
- Stochastic Collocation methods

Evolutionary coalitional games: design and challenges in wireless networks
**Authors:**
M. Khan, H. Tembine, A. Vasilakos

Refereed Journals
**Year:**
2012

- evolutionary coalitional games
- Distributed Strategic Learning
- Global Optima
- fair solution
- CODIPAS learning

Game Dynamics and Cost of Learning in Heterogeneous 4G Networks
**Authors:**
M. Khan, H. Tembine, A. Vasilakos

Refereed Journals
**Year:**
2012

- Game Dynamics
- Cost of Learning
- Heterogeneous Networks

Lagrangian dynamics and a weak KAM theorem on the d-infinite dimensional torus
**Authors:**
D. Gomes, L. Nurbekyan

Refereed Journals
**Year:**
2012

- infinite dimensional weak KAM
- infinite dimensional Hamilton-Jacobi equations
- Aubry-Mather theory

Mather problem for stationary Lagrangians
**Authors:**
D. Gomes, E. Oliveira

Refereed Journals
**Year:**
2012

- Aubry-Mather theory
- Stationary Lagrangians
- Stationary Viscosity Solutions

Uncertainty Quantification in MD Simulations. Part I: Forward Propagation
**Authors:**
F. Rizzi, H.N. Najm, B.J. Debusschere, K. Sargsyan, M. Salloum, H. Adalsteinsson, O.M. Knio

Refereed Journals
**Year:**
2012

- Uncertainty Quantification in MD Simulations. Part I: Forward Propagation

Uncertainty Quantification in MD Simulations. Part II: Bayesian Inference of Force-Field Parameters
**Authors:**
F. Rizzi, H.N. Najm, B.J. Debusschere, K. Sargsyan, M. Salloum, H. Adalsteinsson, O.M. Knio

Refereed Journals
**Year:**
2012

- Uncertainty Quantification in MD Simulations. Part II: Bayesian Inference of Force-Field Parameters

Global Sensitivity Analysis in Ocean Global Circulation Models: A Sparse Spectral Projection Approach
**Authors:**
A. Alexanderian, J. Winokur, I. Sraj, A. Srinivasan, M. Iskandarani, W.C. Thacker, O.M. Knio

Refereed Journals
**Year:**
2012

- Global Sensitivity Analysis in Ocean Global Circulation Models: A Sparse Spectral Projection Approach

Simplified CSP Analysis of a Stiff Stochastic ODE System
**Authors:**
M. Salloum, A. Alexanderian, O.P. Le Mai Tre, H.N. Najm, O.M. Knio

Refereed Journals
**Year:**
2012

- Simplified CSP Analysis of a Stiff Stochastic ODE System

Propagating boundary uncertainties using polynomial expansions
**Authors:**
W.C. Thacker, A. Srinivasan, M. Iskandarani, O.M. Knio, M. Le Henaff

Refereed Journals
**Year:**
2012

- Propagating boundary uncertainties using polynomial expansions

Fast estimation of expected information gains for Bayesian experimental designs based on Laplace approximations
**Authors:**
Quan Long, M. Scavino, Raul Tempone, Wang, Suojin

Refereed Journals
**Year:**
2013

- Bayesian statistics
- Information gain
- Laplace approximation
- Monte Carlo sampling
- Sparse quadrature,
- Uncertainty Quantification

A stochastic collocation method for the second order wave equation with a discontinuous random speed
**Authors:**
Mohammad Motamed, Fabio Nobile, Raul Tempone

Refereed Journals
**Year:**
2013

- Stochastic PDEs
- Uncertainty Quantification
- Sparse grids
- Wave Equation
- Numerical Analysis

Incorporation of exact boundary conditions into a discontinuous Galerkin finite element method for accurately solving 2D time-dependent Maxwell equations
**Authors:**
K. Sirenko,, M.Liu, H. Bagci

Refereed Journals
**Year:**
2013

- Exact absorbing boundary conditions
- Numerical Analysis
- time domain discontinuous Galerkin finite element method
- waveguides

A discrete adapted hierarchical basis solver for radial basis function interpolation
**Authors:**
Julio E. Castrillon-Candas, Jun Li, Victor Eijkhout

Refereed Journals
**Year:**
2013

- Radial basis function
- Interpolation
- Hierarchical basis
- integral equations
- Fast summation methods
- Stable completion
- Lifting
- Generalized least squares
- Best linear unbiased estimator

Approximation of quantities of interest in stochastic PDEs by the random discrete L2 projection on polynomial spaces
**Authors:**
G. Migliorati, F. Nobile, E. Von Schwerin, R. Tempone

Refereed Journals
**Year:**
2013

- PDE stochastic data
- discrete least squares
- polynomial approximation

Optimum and equilibrium in assignment problems with congestion: mobile terminals association to base stations
**Authors:**
Alonso Silva, Hamidou Tembine, Eitan Altman, Merouane Debbah

Refereed Journals
**Year:**
2013

- optimal transport theory
- static mean field game
- optimal placement,
- cell formation

An Adaptive Multi-Element Probabilistic Collocation Method For Statistical EMC/EMI Characterization
**Authors:**
A. C. Yucel, H. Bagci, E. Michielssen

Refereed Journals
**Year:**
2013

- Adaptive algorithm
- electromagnetic compatibility and interference (EMC/EMI)
- generalized polynomial chaos (gPC)
- multi-dimensional integral
- multi-element (ME)
- probabilistic collocation (PC)
- sparse grid (SG)
- tensor product (TP)
- tolerance analysis

The behavior of obliquely incident vector Bessel beams at planar interfaces
**Authors:**
M. A. Salem, H. Bagci

Refereed Journals
**Year:**
2013

- Bessel beams
- localized electromagnetic wave propagation
- planar interface

On the Internal Resonant Modes in Marching-on-in-Time Solution of the Time Domain Electric Field Integral Equation
**Authors:**
Y. Shie, H. Bagci, M. Lu

Refereed Journals
**Year:**
2013

- Electric field integral equation
- time domain
- marching-on-in-time,
- null space
- internal resonant modes
- Numerical Analysis

Monte Carlo Euler approximations of HJM term structure financial models
**Authors:**
Björk, T., A. Szepessy, R. Tempone, Zouraris G.E

Refereed Journals
**Year:**
2013

- HJM model
- Option price
- Bond market
- Stochastic Differential Equations
- Monte Carlo methods
- A priori error estimates
- a posteriori error estimates

Evaluation of Gaussian approximations for data assimilation in reservoir models
**Authors:**
Marco A. Iglesias, Kody J. H. Law, A.M. Stuart

Refereed Journals
**Year:**
2013

- Data assimilation
- Reservoir characterization
- Uncertainty Quantification
- Inverse modelling

Accuracy and Stability of The Continuous Time 3DVAR Filter for The Navier-Stokes Equation
**Authors:**
D. Bloemker, Kody J. H. Law, A.M. Stuart, K. Zygalakis

Refereed Journals
**Year:**
2013

- Probability
- Analysis of PDEs
- Optimization and Control

Map Estimators for Bayesian Nonparametrics
**Authors:**
M. Dashti, Kody J. H. Law, A.M. Stuart, J. Voss

Refereed Journals
**Year:**
2013

- Probability
- Bayesian non-parametrics
- inverse problems

Ensemble Kalman Methods for Inverse Problems
**Authors:**
M. Iglesias, Kody J. H. Law, A.M. Stuart

Refereed Journals
**Year:**
2013

- Filters
- Numerical simulation
- solution of equations
- Velocity measurements
- inverse problems
- Data analysis: algorithms and implementation

Boundary feedback control of 2D shallow water equations
**Authors:**
Ben Mansour Dia, Jesper Oppelstrup

Refereed Journals
**Year:**
2013

- 2-D shallow water equations
- Water management
- Boundary control
- Symmetrization

Explicit solution of the time domain magnetic field integral equation using a predictor-corrector scheme.

Refereed Journals
**Year:**
2013

- Explicit solvers
- magnetic field integral equation (MFIE)
- marching on-in-time (MOT)
- predictor-corrector scheme
- Stability analysis
- time-domain analysis
- transient analysis

Statistical characterization of electromagnetic wave propagation in mine environments
**Authors:**
A. C. Yucel, H. Bagci, E. Michielssen

Refereed Journals
**Year:**
2013

- Fast Fourier transform and fast multipole
- method (FMM-FFT)
- frequency-domain analysis
- integral equations
- multi-element (ME)
- probabilistic collocation (PC)
- Uncertainty Quantification
- wave propagation in mine environments

Accurate characterization of 3D diffraction gratings using time domain discontinuous Galerkin method with exact absorbing boundary conditions.
**Authors:**
K. Sirenko,, Y. Sirenko, H. Bagci

Refereed Journals
**Year:**
2013

- Accurate characterization of 3D diffraction gratings using time domain discontinuous Galerkin method with exact absorbing boundary conditions

Characteristics of two-dimensional quantum turbulence in a compressible superfluid
**Authors:**
T. W. Neely,, A. S. Bradley, E. C. Samson, S. J. Rooney, E. M. Wright, Kody J. H. Law, R. Carretero-González, P. G. Kevrekidis, M. J. Davis,, B. P. Anderson

Refereed Journals
**Year:**
2013

- 2d quantum turbulence
- inverse energy cascade
- compressible superfluid
- BEC

Evolutionary games for multiple access control
**Authors:**
Q. Zhu, H. Tembine, T. Basar

Refereed Journals
**Year:**
2013

- Evolutionary Games
- Multiple Access Control in Wireless Networks

Data partition methodology for validation of predictive models
**Authors:**
Rebecca E. Morrison,, Corey M. Bryant, Gabriel Terejanu, Serge Prudhomme

Refereed Journals
**Year:**
2013

- Cross-validation
- Calibration
- Parameter Estimation
- inverse problems
- Quantity of interest

Preconditioned Bayesian Regression for Stochastic Chemical Kinetics
**Authors:**
A. Alexanderian, F. Rizzi, M.Rathinam, O.P. Le Maître, O.M. Knio

Refereed Journals
**Year:**
2013

- polynomial chaos
- Bayesian regression
- Preconditioner
- Stochastic simulation algorithm
- Chemical kinetics

Polynomial Chaos expansion for subsurface flows with uncertain soil parameters.
**Authors:**
P. Sochala, O.P. Le Maître

Refereed Journals
**Year:**
2013

- Uncertainty Quantification
- Global sensitivity analysis
- Polynomial Chaos expansions
- Richards’ equation
- Non-intrusive spectral decomposition

Effects of network dissolution changes on pore-to-core upscaled reaction rates for kaolinite and anorthite reactions under acidic conditions
**Authors:**
D.Kim, W.B. Lindquist

Refereed Journals
**Year:**
2013

- upscaling
- reaction rates
- network flow models
- dissolution

A re-examination of throats
**Authors:**
J.-W. Kim, D.Kim, W.B. Lindquist

Refereed Journals
**Year:**
2013

- porous media
- throats
- drainage
- pore networks

Extended mean field games
**Authors:**
D. Gomes, V. Voskanyan

Refereed Journals
**Year:**
2013

- Mean field games
- random variables
- velocity field dependence

A new method for large time behavior of degenerate viscous Hamilton–Jacobi equations with convex Hamiltonians
**Authors:**
F. Cagnetti, D. Gomes, H. Mitake, H. Tran

Refereed Journals
**Year:**
2013

- Large-time behavior
- Hamilton-Jacobi equations
- Degenerate parabolic equations
- Nonlinear adjoint methods
- Viscosity solutions

Aubry-Mather theory for discontinuous Lagrangians
**Authors:**
D. Gomes, G. Terrone

Refereed Journals
**Year:**
2013

- Discontinuous Lagrangians
- Action minimizing measures
- Hamilton-Jacobi equations
- Viscosity solutions

Continuous time finite state space mean-field games
**Authors:**
D. Gomes, J. Mohr, R. Sousa

Refereed Journals
**Year:**
2013

- Finite state mean-field games
- Mean field games
- mean field limit

Adjoint methods for obstacle problems and weakly coupled systems of PDE
**Authors:**
F. Cagnetti, D. Gomes, H. Tran

Refereed Journals
**Year:**
2013

- Adjoint methods
- cell problems
- obstacle problems
- Hamilton-Jacobi equations
- weakly coupled systems
- weak KAM theory

Parameter Identification in a Probabilistic Setting
**Authors:**
Bojana V. Rosić, Anna Kučerová, Jan Sýkora, Oliver Pajonk, Alexander Litvinenko, Hermann G. Matthies

Refereed Journals
**Year:**
2013

- parameter identification
- Non-Gaussian Bayesian update
- Linear Bayes
- Kalman filter
- polynomial chaos

Sampling and Low-Rank Tensor Approximation of the Response Surface
**Authors:**
Alexander Litvinenko, Hermann G. Matthies, El-Moselhy, Tarek A

Refereed Journals
**Year:**
2013

- Low-rank response surface
- update of surrogate
- PCE
- low-rank update
- uncertainties in aerodynamics
- Uncertainty Quantification

Dark Solitary Waves in a Class of Collisionally Inhomogeneous Bose-Einstein Condensates
**Authors:**
Chang Wang, Kody J. H. Law, Panayotis. G. Kevrekidis, Mason A. Porter

Refereed Journals
**Year:**
2013

- Bose-Einstein Condensates
- dark solitons

A Priori Testing of Sparse Adaptive Polynomial Chaos Expansions Using an Ocean General Circulation Model Database
**Authors:**
J. Winokur, P. Conrad, I. Sraj, O.M. Knio, A. Srinivasan, C. Thacker, Youssef M. Marzouk, M. Iskandarani

Refereed Journals
**Year:**
2013

- Uncertainty Quantification
- polynomial chaos
- Sparse Smolyak quadrature
- Adaptive sampling
- Ocean modeling

Uncertainty quantification in MD simulations of concentration driven ionic flow through a silica nanopore. Part II: uncertain potential parameters
**Authors:**
F. Rizzi, R. Jones, B.J. Debusschere, O.M. Knio

Refereed Journals
**Year:**
2013

- Uncertainty quantification in MD simulations of concentration driven ionic flow through a silica nanopore. Part II: uncertain potential parameters

Uncertainty Quantification in MD simulations of concentration driven ionic flow through a silica nanopore. Part I: sensitivity to physical parameters of the pore
**Authors:**
F. Rizzi, R. Jones, B.J. Debusschere, O.M. Knio

Refereed Journals
**Year:**
2013

- Uncertainty Quantification in MD simulations of concentration driven ionic flow through a silica nanopore. Part I: sensitivity to physical parameters of the pore

Bayesian Inference of Dependence of Drag Coe ficient on Wind Speed using AXBT data from Typhoon Fanapi
**Authors:**
I. Sraj, M. Iskandarani, A. Srinivasan, C. Thacker, J. Winokur, A. Alexanderian, C.-Y. Lee, S.S. Chen, O.M. Knio

Refereed Journals
**Year:**
2013

- Bayesian Inference of Dependence of Drag Coeficient on Wind Speed using AXBT data from Typhoon Fanapi

Kriging and Spatial Design Accelerated by Orders of Magnitude: Combining Low-Rank Covariance Approximations with FFT-Techniques
**Authors:**
Nowak, W, A. Litvinenko

Refereed Journals
**Year:**
2013

- low-rank tensor approximation
- Spectral methods
- Efficient geostatistical estimation
- geostatistical optimal design,

A quasi-optimal sparse grids procedure for groundwater flows
**Authors:**
J. Beck, F. Nobile, L. Tamellini, R. Tempone

Refereed Journals
**Year:**
2014

- Uncertainty Quantification

Convergence of quasi-optimal stochastic Galerkin methods for a class of PDEs with random coefficients
**Authors:**
J. Beck, F. Nobile, L. Tamellini, R. Tempone

Refereed Journals
**Year:**
2014

- Uncertainty Quanti

Analysis of the discrete L2 projection on polynomial spaces with random evaluations
**Authors:**
G. Migliorati, F. Nobile, E. Von Schwerin, R. Tempone

Refereed Journals
**Year:**
2014

- approximation theory
- error analysis
- multivariate polynomial approximation
- Nonparametric regression
- Noise-free data
- Generalized polynomial chaos
- Point collocation

A Stochastic Multiscale Method for the Elastodynamic Wave Equation Arising from Fiber Composites
**Authors:**
Ivo Babuska, Mohammad Motamed, Raul Tempone

Refereed Journals
**Year:**
2014

- Fiber composites
- multiscale simulation
- stochastic elastic wave equation
- Uncertainty Quantification

Analysis of the 3DVAR Filter for the Partially Observed Lorenz ’63 Model
**Authors:**
Kody J. H. Law, A. Shukla, A.M. Stuart

Refereed Journals
**Year:**
2014

- Mathematics - Dynamical Systems
- Mathematics - Optimization and Control
- Physics - Data Analysis
- Statistics and Probability

Proposals Which Speed-Up Function-Space MCMC
**Authors:**
Kody J. H. Law

Refereed Journals
**Year:**
2014

- Statistics - Methodology
- Mathematics - Dynamical Systems
- Physics - Data Analysis
- Statistics and Probability

Multiscale Modeling of Wear Degradation in Cylinder Liners
**Authors:**
A. Moraes, F. Ruggeri, R. Tempone, P. Vilanova

Refereed Journals
**Year:**
2014

- Pure jump processes
- Multiscale approximation
- Indirect inference
- Wear processes
- Master Equation

On the Capacity of Multiple Access and Broadcast Fading Channels with Full Channel State Information at Low SNR
**Authors:**
Z. Rezki, M. Alouini

Refereed Journals
**Year:**
2014

- Multi-access
- broadcast
- Ergodic capacity
- capacity region
- low SNR
- low power
- fading channel
- on- off signaling

Computational analysis of liquid crystalline elastomer membranes: changing Gaussian curvature without stretch energy
**Authors:**
F. Cirak, Q. Long, K.Bhattacharya, M.Warner

Refereed Journals
**Year:**
2014

- Liquid crystalline elastomer
- Nematic elastomer
- Soft material
- Non-developable surface
- Finite Elements

Risk-Sensitive Mean-Field Games
**Authors:**
H. Tembine, Q. Zhu, T. Basar

Refereed Journals
**Year:**
2014

- Risk-Sensitive
- Mean field games
- Risk-Seeking
- Risk-Averse

On the Low SNR Capacity of MIMO Fading Channels with Imperfect Channel State Information 2014
**Authors:**
Fatma Benkhelifa, Abdoulaye Tall, Zouheir Rezki, Mohamed-Slim Alouini

Refereed Journals
**Year:**
2014

- Ergodic capacity
- MIMO
- CSI-T
- CSI-R
- channel estimation
- Rayleigh fading channel
- Rician fading channel
- low SNR

A Newton-Galerkin method for fluid flow exhibiting uncertain periodic dynamics
**Authors:**
M. Schick, V. Heuveline, O.P. Le Maître

Refereed Journals
**Year:**
2014

- Uncertainty Quantification
- stochastic limit-cycle
- Stochastic Navier-Stokes equations
- stochastic period
- polynomial chaos
- long term integration

On the minimizers of Calculus of Variations problems in Hilbert Spaces
**Authors:**
D. Gomes, L. Nurbekyan

Refereed Journals
**Year:**
2014

- calculus of variations
- Hilbert Spaces
- Minimizers

On the existence of stationary solutions of extended mean-field games
**Authors:**
D. Gomes, S. Patrizi, V. Voskanyan

Refereed Journals
**Year:**
2014

- Extended mean field games
- Stationary mean-field games

Mean field games models—a brief survey
**Authors:**
D. Gomes, J. Saude

Refereed Journals
**Year:**
2014

- Mean field games
- mean-field methods
- differential games

On the stochastic Evans-Aronsson problem
**Authors:**
D. Gomes, H. Sanchez-Morgado

Refereed Journals
**Year:**
2014

- Stochastic Evans-Aronsson
- Mean field games
- Non-coercive variational problems

On the Outage Capacity of the M-Block Fading Channel at Low-Power Regime
**Authors:**
Zouheir Rezki, Mohamed-Slim Alouini

Refereed Journals
**Year:**
2014

- Outage capacity
- low power
- block-fading chan- nels
- CSI-TR

Efficient low-rank approximation of the stochastic Galerkin matrix in tensor formats
**Authors:**
Mike Espig, Wolfgang Hackbusch, Alexander Litvinenko, Hermann G. Matthies, Philipp Wähnert

Refereed Journals
**Year:**
2014

- Tensor approximation
- Stochastic PDEs
- Stochastic Galerkin matrix
- Low-rank tensor formats,
- Uncertainty Quantification

Exponential Stability of Shallow water Equations with Time Arbitrary Time Dependent Action
**Authors:**
Ben M. Dia

Refereed Journals
**Year:**
2014

- Shallow water equations
- Feedback control
- Lyapunov stability
- Riemann invariants

On the convergence of finite state mean-field games through Gamma-convergence
**Authors:**
R. Ferreira, D. Gomes

Refereed Journals
**Year:**
2014

- Finite state mean-field games
- Gamma-convergence
- calculus of variations

Nonasymptotic Mean-Field Games 2014
**Authors:**
H. Tembine

Refereed Journals
**Year:**
2014

- Nonasymptotic Mean-Field Games
- mean-field approximation in finite regime

Mean-Field Games for Marriage
**Authors:**
Dario Bauso, Ben Mansour Dia, Boualem Djehiche, Hamidou Tembine, Raul Tempone

Refereed Journals
**Year:**
2014

- Society Influence
- Marriage
- Mean-Field

Optimized Smart Grid Energy Procurement for LTE Networks Using Evolutionary Algorithms
**Authors:**
Hakim Ghazzai, Elias Yaacoub, Mohamed-Slim Alouini, Adnan Abu Dayya

Refereed Journals
**Year:**
2014

- Green Network
- Energy efficiency
- BS Sleeping Strategy
- smart grid
- Evolutionary Algorithms

Model reduction based on Proper Generalized Decomposition for the stochastic steady incompressible Navier-Stokes equations
**Authors:**
L. Tamellini, O. Le Maître, A. Nouy

Refereed Journals
**Year:**
2014

- Uncertainty Quantification
- Stochastic Navier-Stokes equations
- Galerkin Method
- Model Reduction
- Reduced Basis

Drag Parameter Estimation Using Gradients and Hessian from a Polynomial Chaos Model Surrogate
**Authors:**
I. Sraj, M. Iskandarani, C. Thacker, A. Srinivasan, O.M. Knio

Refereed Journals
**Year:**
2014

- Atmosphere-ocean interaction
- Hurricanes
- Ocean circulation
- Bayesian methods
- Inverse methods
- Optimization

Dynamic and energetic stabilization of persistent currents in Bose-Einstein condensates.
**Authors:**
Kody J. H. Law, T. W. Neely,, P. G. Kevrekidis, B. P. Anderson, A. S. Bradley, R. Carretero-González

Refereed Journals
**Year:**
2014

- Bose-Einstein condensate (BEC)
- vortices
- bifurcation and stability analysis

Determining white noise forcing from Eulerian observations in the Navier-Stokes equation
**Authors:**
Viet Ha Hoang, Kody J. H. Law, A.M. Stuart

Refereed Journals
**Year:**
2014

- Bayesian Inference
- Navier-Stokes equation
- White noise forcing

An Extension of Clarke’s Model With Stochastic Amplitude Flip Processes
**Authors:**
Hakon Hoel, Henrik Nyberg

Refereed Journals
**Year:**
2014

- Multipath channels
- Gaussian processes
- Ray tracing.

Achievable Rate of Spectrum Sharing Cognitive Radio Systems over Fading Channels at Low Power Regime
**Authors:**
Lokman Sboui, Zouheir Rezki, Mohamed-Slim Alouini

Refereed Journals
**Year:**
2014

- underlay cognitive radio
- Achievable Rate
- Low power regime
- Nakagami fading
- partial CSI feedback

On the Connection between the Hamilton-Jacobi-Bellman and the Fokker-Planck Control Frameworks
**Authors:**
R. Tempone, F. Nobile, Borzì, A, Annunziato, M

Refereed Journals
**Year:**
2014

- Hamilton-Jacobi-Bellman Equation
- Fokker-Planck equation
- Optimal Control Theory
- Stochastic Differential Equations
- Hybrid systems

On the Diversity-Multiplexing Tradeoff of Secret-Key Agreement over Multiple-Antenna Channels
**Authors:**
Marwen Zorgui, Zouheir Rezki, Basel Alomair, Mohamed-Slim Alouini

Refereed Journals
**Year:**
2014

- Secret-key agreement
- Outage Probability
- high- power
- diversity multiplexing tradeoff

Local regularity for mean-field games in the whole space
**Authors:**
D. Gomes, E. Pimentel

Refereed Journals
**Year:**
2014

- Mean field games
- Hamilton-Jacobi equations
- Fokker-Planck equation

Socio-economic applications of finite state mean field games
**Authors:**
D. Gomes, R. Velho, M. T. Wolfram

Refereed Journals
**Year:**
2014

- Finite state mean-field games
- socio-economic models
- numerical methods

Additional Results on the Hazard Rate Twisting-Based Simulation Approach
**Authors:**
Nadhir Ben Rached, Fatma Benkhelifa, Abla Kammoun, Mohamed-Slim Alouini, Raul Tempone

Refereed Journals
**Year:**
2014

- Crude Monte Carlo
- rare events
- Importance Sampling
- hazard rate twisting
- asymptotically optimal
- twisting parameter

On the Static Loop Modes in the Marching-on-in-Time Solution of the Time-Domain Electric Field Integral Equation
**Authors:**
Y. Shi, H. Bagci, M. Lu

Refereed Journals
**Year:**
2014

- Electric field integral equation
- marching-on-in- time
- Numerical Analysis
- static loop modes
- time domain

On the ergodic secrecy capacity of the wiretap channel under imperfect main channel estimation
**Authors:**
Z. Rezki, A. Khisti, M. Alouini

Refereed Journals
**Year:**
2014

- Secrecy capacity
- imperfect channel estimation
- on- off signaling

Energy Efficiency and SINR Maximization Beamformers for Spectrum Sharing With Sensing Information
**Authors:**
A. Alabbasi, Z. Rezki, B. Shihada

Refereed Journals
**Year:**
2014

- Cognitive radio
- MIMO
- beamforming
- Energy efficiency
- Resource allocation
- Spectrum sensing
- Spectrum sharing

Ergodic Secret Message Capacity of the Wiretap Channel with Finite-Rate Feedback
**Authors:**
Z. Rezki, A. Khisti, M. Alouini

Refereed Journals
**Year:**
2014

- ARQ feedback
- Secrecy capacity
- capacity of fading channels
- high-SNR
- low SNR
- proactive feedback

Goal-oriented error estimation based on equilibrated-flux reconstruction for finite element approximations of elliptic problems
**Authors:**
I. Mozolevski, S. Prudhomme

Refereed Journals
**Year:**
2014

- Finite Element method
- Goal-oriented estimates
- Quantity of interest
- Asymptotically-exact error estimates
- Dual problem

Variational Multi-Scale method with spectral approximation of the sub-scales: Application to 1-d convection-diffusion equation
**Authors:**
Tomas Chacon Rebollo, Ben Mansour Dia

Refereed Journals
**Year:**
2015

- Variational Multiscale
- Convection-Diffusion
- Stabilization
- Spectral Approximation

Achievable Rate of a Cognitive MIMO Multiple Access Channel with Multi-Secondary Users
**Authors:**
L. Sboui, H. Ghazzai, Z. Rezki, M. Alouini

Refereed Journals
**Year:**
2015

- Achievable Rate
- mul-tiple secondary users
- space alignment
- underlay cognitive radio

Energy Efficient Resource Allocation for Cognitive Radios: A Generalized Sensing Analysis
**Authors:**
A. Alabbasi, Z. Rezki, B. Shihada

Refereed Journals
**Year:**
2015

- Spectrum sharing
- Energy efficiency
- Resource allocation
- Spectrum sensing

A Stochastic Maximum Principle for Risk-Sensitive Mean-Field-Type Control
**Authors:**
B. Djehiche, H. Tembine, R. Tempone

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## Acknowledgements:

## Bibtex:

Manuscripts
**Year:**
2018

The research reported in this publication was supported by funding from King

Abdullah University of Science and Technology (KAUST).

Abdullah University of Science and Technology (KAUST).

@ARTICLE{2017arXiv171106874L, author = {{Litvinenko}, A. and {Keyes}, D. and {Khoromskaia}, V. and {Khoromskij}, B.~N. and {Matthies}, H.~G.}, title = "{Tucker Tensor analysis of Matern functions in spatial statistics}", journal = {ArXiv e-prints}, archivePrefix = "arXiv", eprint = {1711.06874}, primaryClass = "math.NA", keywords = {Mathematics - Numerical Analysis, 62F99, 62P12, 65F30, 65F40, G.3, G.4, J.2}, year = 2017, month = nov, adsurl = {http://adsabs.harvard.edu/abs/2017arXiv171106874L}, adsnote = {Provided by the SAO/NASA Astrophysics Data System} }

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Mean field stochastic games for sinr-based medium access control
**Authors:**
H. Tembine, P. Vilanova, Mohamad Assaad, M. Debbah

Conference Proceedings
**Year:**
2011

- Mean field stochastic games
- SINR

Mean field interaction in biochemical reaction networks
**Authors:**
H. Tembine, R. Tempone, P. Vilanova

Conference Proceedings
**Year:**
2011

- Mean field interaction
- reaction networks

Mean field games for cognitive radio networks
**Authors:**
H. Tembine, R. Tempone, P. Vilanova

Conference Proceedings
**Year:**
2012

- Mean field games
- cognitive radio networks

Cloud Networking Mean Field Games
**Authors:**
Ahmed Farhan Hanif, Hamidou Tembine, Mohamad Assaad, Djamal Zeghlache

Conference Proceedings
**Year:**
2012

- cloud networks
- Mean field games
- mean field learning
- capacity sharing

Random matrix games in wireless networks
**Authors:**
M. Khan, H. Tembine

Conference Proceedings
**Year:**
2012

- random marix games
- robust games
- CODIPAS learning

Cooperative decoding in femtocell networks: Performance-complexity tradeoff
**Authors:**
Fatma Benkhelifa, Zouheir Rezki, Mohamed-Slim Alouini

Conference Proceedings
**Year:**
2012

- Indoor coverage
- Femtocells
- CDMA
- Interference Cancellation (IC)
- Cooperative decoding

Quantifying uncertainty of ion chemistry in premixed methane-air flames
**Authors:**
F. Rizzi, M. El Morsli, F. Bisetti, O.M. Knio

Conference Proceedings
**Year:**
2013

- Uncertainty Quantification

Impact of I/Q imbalance on the performance of two-way CSI-assisted AF relaying
**Authors:**
Jian Qi, Sonia Aissaz, Mohamed-Slim Alouini

Conference Proceedings
**Year:**
2013

- Uncertainty Quantification

Multi-hop amplify-and-forward relaying cooperation in the presence of I/Q imbalance
**Authors:**
Jian Qi, Sonia Aissaz, Mohamed-Slim Alouini

Conference Proceedings
**Year:**
2013

- Uncertainty Quantification

Multi-pair cognitive two-way relaying and power allocation under imperfect CSI
**Authors:**
P Ubaidulla, Mohamed-Slim Alouini, Sonia Aissaz

Conference Proceedings
**Year:**
2013

- convex optimization
- Cognitive radio

Cognitive relaying and power allocation under channel state uncertainties
**Authors:**
P Ubaidulla, Mohamed-Slim Alouini, Sonia Aissaz

Conference Proceedings
**Year:**
2013

- Cognitive radio
- convex optimization

Capacity of Spectrum Sharing Cognitive Radio Systems over Nakagami Fading Channels at Low SNR
**Authors:**
Lokman Sboui, Zouheir Rezki, Mohamed-Slim Alouini

Conference Proceedings
**Year:**
2013

- underlay cognitive radio
- Ergodic capacity
- Spectrum sharing
- low SNR
- Nakagami fading
- Interference and Power constraints.

Evolutionary Coalitional Games for Random Access Control
**Authors:**
Xin Luo, Hamidou Tembine

Conference Proceedings
**Year:**
2013

- evolutionary coalitional games
- coalitional CODIPAS learning
- group-formation
- evolutionarily stable coalitional structure

Overlay cognitive radio systems with adaptive two-way relaying
**Authors:**
A. Hyadi, E. Driouch, W. Ajib, M. Alouini

Conference Proceedings
**Year:**
2013

- two-way relaying
- Overlay Cognitive Network
- Outage Probability
- Power Allocation
- Adaptive Relaying

Performance analysis of cognitive multihop relaying with M-QAM detect-and-forward in Nakagami-m fading channels
**Authors:**
M. Ben Jillali, A. Hyadi, D. B. Da Costa, M. Alouini

Conference Proceedings
**Year:**
2013

- Multihop Regenerative Relaying
- Spectrum sharing
- Nakagami-𝑚 fading Channels.
- 𝑀-QAM

Performance of Green LTE networks powered by the smart grid with time varying user density
**Authors:**
H. Ghazzai, Elias Yaacoub, M. Alouini, A. Abu-Dayya

Conference Proceedings
**Year:**
2013

- Green communication
- procurement model
- energy saving
- sleeping strategy
- smart grid

A Genetic Algorithm for Multiple Relay Selection in Two-Way Relaying Cognitive Radio Networks
**Authors:**
A. M. Sharoa, H. Ghazzai, M. Alouini

Conference Proceedings
**Year:**
2013

- Cooperative cognitive radio network
- two-way relaying
- genetic algorithm

Exact Symbol Error Probability of Square M-QAM Signaling over Generalized Fading Channels subject to Additive Generalized Gaussian Noise
**Authors:**
Hamza Soury, Ferkan Yilmaz, Mohamed-Slim Alouini

Conference Proceedings
**Year:**
2013

- Symbol error probability
- quadrature amplitude modulation,
- additive generalized Gaussian noise
- generalized Gaussian Q-function
- Laplacian noise
- generalized composite fading channels
- extended generalized-K fading,
- generalized-K fading

On the capacity of multiple access and broadcast fading channels with full channel state information at low power regime
**Authors:**
Z. Rezki, M. Alouini

Conference Proceedings
**Year:**
2013

- Multi-access
- broadcast
- Ergodic capacity
- capacity region
- low SNR
- low power
- fading channel
- on-off signaling

Effective capacity of Nakagami-m fading channels with full channel state information in the low power regime
**Authors:**
Fatma Benkhelifa, Zouheir Rezki, Mohamed-Slim Alouini

Conference Proceedings
**Year:**
2013

- E ffective capacity
- Nakagami-m
- QoS
- on-o ff scheme
- low SNR

Improving the Throughput of Cognitive Radio Networks Using the Broadcast Approach
**Authors:**
Lokman Sboui, Zouheir Rezki, Mohamed-Slim Alouini

Conference Proceedings
**Year:**
2013

- underlay cognitive radio
- Achievable Rate
- broadcast approach
- quantized CSI
- fading channels.

Delay reduction in lossy intermittent feedback for generalized instantly decodable network coding
**Authors:**
Ahmed Douik,, Sameh Sorour, Mohamed-Slim Alouini, Tareq Al-Naffouri

Conference Proceedings
**Year:**
2013

- Multicast Channels
- Lossy Intermittent Feedback,
- Minimum Decoding Delay
- Maximum Weight Clique Problem

Efficient incremental relaying
**Authors:**
Muhammad Mehboob Fareed, Mohamed-Slim Alouini

Conference Proceedings
**Year:**
2013

- Wireless relays
- Spectral Efficiency

Mean-Field Learning for Satisfactory Solutions
**Authors:**
H. Tembine, R. Tempone, P. Vilanova

Conference Proceedings
**Year:**
2013

- mean field learning
- satisfactory solution
- speedup learning
- convergence time

Electromagnetic scattering of a vector Bessel beam in the presence of an impedance cone
**Authors:**
M. A. Salem, H. Bagci

Conference Proceedings
**Year:**
2013

- Electromagnetic scattering of a vector Bessel beam in the presence of an impedance cone

Quasi-exact evaluation of time domain MFIE MOT matrix elements.
**Authors:**
Y. Shi, H. Bagci, M. Lu, B. Shanker, E. Michielssen

Conference Proceedings
**Year:**
2013

- Quasi-exact evaluation of time domain MFIE MOT matrix elements

On spurious resonant modes in the MOT solution of time domain EFIE.
**Authors:**
Y. Shi, H. Bagci, M. Lu

Conference Proceedings
**Year:**
2013

- On spurious resonant modes in the MOT solution of time domain EFIE

Explicit solution of Calderon preconditioned time domain integral equations.
**Authors:**
H. A. Ulku, H. Bagci, E. Michielssen

Conference Proceedings
**Year:**
2013

- Explicit solution of Calderon preconditioned time domain integral equations

Exact absorbing boundary conditions for numerical modeling of 3-D diffraction gratings.
**Authors:**
K. Sirenko,, Y. Sirenko, H. Bagci

Conference Proceedings
**Year:**
2013

- Exact absorbing boundary conditions for numerical modeling of 3-D diffraction gratings

Explicit marching on-in-time solution of the mixed-discretized time domain magnetic field integral equation at low frequencies.
**Authors:**
H. A. Ulku, H. Bagci

Conference Proceedings
**Year:**
2013

- Explicit marching on-in-time solution of the mixed-discretized time domain magnetic field integral equation at low frequencies

Stability analysis of predictor-corrector based quasi-explicit MOT-TDIE solvers.
**Authors:**
H. A. Ulku, H. Bagci

Conference Proceedings
**Year:**
2013

- Stability analysis of predictor-corrector based quasi-explicit MOT-TDIE solvers

A stable and explicit MOT solver for the time domain volume electric field integral equation.
**Authors:**
S. Bin Sayed, H. A. Ulku, H. Bagci

Conference Proceedings
**Year:**
2013

- A stable and explicit MOT solver for the time domain volume electric field integral equation

A PMCHWT surface integral equation solver for analyzing transient plasmonic interactions.
**Authors:**
I. E. Uysal, H. A. Ulku, H. Bagci

Conference Proceedings
**Year:**
2013

- A PMCHWT surface integral equation solver for analyzing transient plasmonic interactions

A fast-multipole domain decomposition integral equation solver for characterizing electromagnetic wave propagation in mine environments.
**Authors:**
A. C. Yucel, Y. Liu, H. Bagci

Conference Proceedings
**Year:**
2013

- A fast-multipole domain decomposition integral equation solver for characterizing electromagnetic wave propagation in mine environments

Robust linear quadratic mean-field games in crowd-seeking social networks
**Authors:**
H. Tembine, D. Bauso, T. Basar

Conference Proceedings
**Year:**
2013

- Crowd-seeking social networks
- robust mean-field games

Achievable Rate of Cognitive Radio Spectrum Sharing MIMO Channel with Space Alignment and Interference Temperature Precoding
**Authors:**
Lokman Sboui, Hakim Ghazzai, Zouheir Rezki, Mohamed-Slim Alouini

Conference Proceedings
**Year:**
2013

- Achievable Rate
- underlay cognitive radio
- Spectrum sharing
- Space alignment Interference Alignment
- successive interference cancellation

A projection method for under determined optimal experimental designs
**Authors:**
Q. Long, M. Scavino, R. Tempone, S. Wang

Conference Proceedings
**Year:**
2013

- A projection method for under determined optimal experimental designs

The Capacity of the Cascaded Fading Channel in the Low Power Regime
**Authors:**
F. Benkhelifa, Zouheir Rezki, M. Alouini

Conference Proceedings
**Year:**
2014

- Cascaded fading channel
- Ergodic capacity
- low SNR
- RF
- FSO
- Rayleigh-Product fading
- Gamma-Gamma distribution

Demand response scheme based on lottery-like rebates
**Authors:**
Galina Schwartz, Hamidou Tembine, Saurabh Amin, Shankar Sastry

Conference Proceedings
**Year:**
2014

- Demand response
- lottery

Tutorial on mean-field type games
**Authors:**
H. Tembine

Conference Proceedings
**Year:**
2014

- mean field type games

Cooperative Mean-Field Type Games
**Authors:**
Abdoul Karim Cisse, Hamidou Tembine

Conference Proceedings
**Year:**
2014

- cooperation
- mean field type games

Nonasymptotic Mean-Field Games
**Authors:**
H. Tembine

Conference Proceedings
**Year:**
2014

- Nonasymptotic Mean-Field Games

Fast Distributed Strategic Learning for Global Optima in Queueing Access Games
**Authors:**
H. Tembine

Conference Proceedings
**Year:**
2014

- Fast Distributed Strategic Learning
- Global Optima
- Queueing Access Games

A variational Multi-Scale method with spectral approximation of the sub-scales
**Authors:**
Tomas Rebollo Chacon, Ben Mansour Dia

Conference Proceedings
**Year:**
2014

- Multiscale Method
- Galerkin Method
- Stabilization

On the Throughput of a Relay-Assisted Cognitive Radio MIMO Channel with Space Alignment
**Authors:**
Lokman Sboui, Hakim Ghazzai, Zouheir Rezki, Mohamed-Slim Alouini

Conference Proceedings
**Year:**
2014

- MIMO space alignment
- underlay cognitive radio
- successive interference cancellation
- amplify-and-forward relay

A generalized finite difference scheme for the 2-D shallow water equations
**Authors:**
Ben M. Dia, Leon M. S. Tine, Ababacar Diagne

Conference Proceedings
**Year:**
2014

- Finite difference
- Shallow water equations
- Stability analysis

Solution to a Riemann Problem at the Junction of Two Reaches
**Authors:**
M. S. Goudiaby, M. L. Diagne, Ben M. Dia

Conference Proceedings
**Year:**
2014

- Riemann problem
- Saint-Venant equations
- hyperbolic systems
- open canal network

On the low SNR capacity of log-normal turbulence channels with full CSI
**Authors:**
F. Benkhelifa, Z. Rezki, M. Alouini

Conference Proceedings
**Year:**
2014

- Channel Capacity
- Full CSI
- Log-Normal Turbulence
- low SNR
- on-off signaling

On the Secrecy Capacity of the MISO Wiretap Channel under Imperfect Channel Estimation
**Authors:**
Z. Rezki, Basel Alomair, M. Alouini

Conference Proceedings
**Year:**
2014

- Secrecy capacity
- imperfect channel estimation
- on-off signaling
- multiple antennas
- artificial noise
- beamforming

On the Secrecy Capacity of the Broadcast Wiretap Channel with Imperfect Channel State Information
**Authors:**
A. Hyadi, Z. Rezki, A. Khisti, M. Alouini

Conference Proceedings
**Year:**
2014

- On the Secrecy Capacity of the Broadcast Wiretap Channel with Imperfect Channel State Information

On Energy Efficient Power Allocation for Power-Constrained Systems
**Authors:**
L. Sboui, Z. Rezki, M. Alouini

Conference Proceedings
**Year:**
2014

- On Energy Efficient Power Allocation for Power-Constrained Systems

Energy Efficiency and SINR Maximization Beamformers for Cognitive Radio Utilizing Sensing Information
**Authors:**
A. Alabbasi, Z. Rezki, B. Shihada

Conference Proceedings
**Year:**
2014

- Cognitive radio
- MIMO
- beamforming
- Energy efficiency
- Resource allocation
- Spectrum sensing
- Spectrum sharing

On the Low SNR Capacity of MIMO Fading Channels with Imperfect Channel State Information
**Authors:**
F. Benkhelifa, Z. Rezki, M. Alouini

Conference Proceedings
**Year:**
2014

- CSI-R
- CSI-T
- Ergodic capacity
- MIMO
- Rayleigh fading channel
- Rician fading channel
- channel estimation
- low SNR

Energy efficient scheme for cognitive radios utilizing soft sensing
**Authors:**
A. Alabbasi, Z. Rezki, B. Shihada

Conference Proceedings
**Year:**
2014

- Energy efficiency
- Resource allocation
- Spectrum sensing
- Spectrum sharing

Comparison of Clenshaw–Curtis and Leja quasi-optimal sparse grids for the approximation of random PDEs
**Authors:**
F. Nobile, L. Tamellini, R. Tempone

Conference Proceedings
**Year:**
2015

- Uncertainty Quantification
- PDEs with random data
- linear elliptic equations
- Stochastic Collocation methods
- Sparse grids approximation
- Leja points
- Clenshaw–Curtis points

Delay-Limited Capacity of Fading Multiple Access and Broadcast Channels in the Low Power Regime
**Authors:**
Z. Rezki, M. Alouini

Conference Proceedings
**Year:**
2015

- Delay-Limited Capacity of Fading Multiple Access and Broadcast Channels in the Low Power Regime

On Achievable Rate of Two-Way Relaying Cognitive Radio with Space Alignment
**Authors:**
L. Sboui, H. Ghazzai, Z. Rezki, M. Alouini

Conference Proceedings
**Year:**
2015

- On Achievable Rate of Two-Way Relaying Cognitive Radio with Space Alignment

An Efficient Simulation Scheme of the Outage Probability with Co-Channel Interference
**Authors:**
Nadhir Ben Rached, Abla Kammoun, Mohamed-Slim Alouini, Raul Tempone

Conference Proceedings
**Year:**
2015

- Outage Probability
- sum of correlated Lognormal
- Importance Sampling
- computational gain
- naive Monte Carlo simulations

Secret-key Agreement over Spatially Correlated Fast-Fading Multiple-Antenna Channels with Public Discussion
**Authors:**
Marwen Zorgui, Zouheir Rezki, Basel Alomair, Mohamed-Slim Alouini

Conference Proceedings
**Year:**
2015

- Secret-key agreement
- MIMO systems
- optimal signaling
- correlation
- beamforming
- high power regime

Inverse Problems in a Bayesian Setting
**Authors:**
H. G. Matthies, E. Zander, B. V. Rosić, A. Litvinenko, O. Pajonk

Book chapters
**Year:**
2016

- Inverse Problems in a Bayesian Setting

Smart grid energy procurement for green LTE cellular networks
**Authors:**
Hakim Ghazzai, Elias Yaacoub, Mohamed-Slim Alouini, Adnan Abu Dayya

Book chapters
**Year:**
2013

- LTE networks
- smart grid

Numerical Methods for Uncertainty Quantification and Bayesian update in Aerodynamics
**Authors:**
A. Litvinenko, H. G. Matthies

Book chapters
**Year:**
2013

- Numerical Methods for Uncertainty Quantification and Bayesian update in Aerodynamics

Hybrid learning in stochastic games and its applications in network security
**Authors:**
Q. Zhu, H. Tembine, T. Basar

Book chapters
**Year:**
2013

- Strategic Learning
- Hybrid systems
- Game Theory
- Network Security

Adaptive multilevel Monte Carlo simulation
**Authors:**
Hoel Håkon, Von Schwerin Erik, Szepessy Anders, Tempone Raúl

Book chapters
**Year:**
2012

- Computational finance,
- Monte Carlo
- multilevel
- adaptivity
- weak approximation
- error control
- Euler–Maruyama method
- a posteriori error estimates
- backward dual functions
- adjoints

Noisy mean field game model for malware propagation in opportunistic networks
**Authors:**
H. Tembine, P. Vilanova, M. Debbah

Book chapters
**Year:**
2012

- Mean field games
- opportunistic networks.

Distributed Strategic Learning for Wireless Engineers
**Authors:**
H. Tembine

Books
**Year:**
2012

- Distributed Strategic Learning
- Speedup
- Sparse Learning
- Time-Scaling
- Combined Learning
- CODIPAS