PhD student since 2015.
My main research interest is methods for large-scale convex optimization. The focus is on line-search methods and relaxed projection algorithms. I am working on devising new algorithms as well as improving existing ones. The work consists of both theoretical analysis and creation of a software package for illustration and easy use of the algorithms.
Publications
Mattias Fält, Pontus Giselsson: "Optimal Convergence Rates for Generalized Alternating Projections". 2016.
Fredrik Bagge Carlson, Mattias Fält, Albin Heimerson, Olof Troeng: "ControlSystems.jl: A Control Toolbox in Julia". In CDC2021 – 60th Conference on Decision and Control, Austin, TX, United States, December 2022.
Mattias Fält: Convergence Analysis and Improvements for Projection Algorithms and Splitting Methods. PhD Thesis TFRT, Department of Automatic Control, Lund University, Sweden, January 2021.
Mattias Fält, Pontus Giselsson: "QPDAS: Dual Active Set Solver for Mixed Constraint Quadratic Programming". In 58th IEEE Conference on Decision and Control, CDC 2019, Nice, France, December 2019.
Olof Troeng, Mattias Falt: "Sparsity-constrained optimization of inputs to second-order systems". In 18th European Control Conference, ECC 2019, Naples, Italy, June 2019.
Olof Troeng, Mattias Falt: "A Seemingly Polynomial-Time Algorithm for Optimal Curve Fitting by Segmented Straight Lines". In 57th IEEE Conference on Decision and Control, CDC 2018, Miami, United States, December 2019.
Pontus Giselsson, Mattias Fält: "Envelope Functions : Unifications and Further Properties". Journal of Optimization Theory and Applications, 178:3, pp. 673–698, 2018.
Mattias Fält, Pontus Giselsson: "Optimal convergence rates for generalized alternating projections". In 56th IEEE Annual Conference on Decision and Control, CDC 2017, Melbourne, Australia, December 2017.
Mattias Fält, Pontus Giselsson: "Line search for generalized alternating projections". In 2017 American Control Conference, ACC 2017, Seattle, United States, May 2017.
Fredrik Bagge Carlson, Mattias Fält: "ControlSystems.jl : A Control Systems Toolbox for Julia". 2016.
Pontus Giselsson, Mattias Fält, Stephen P. Boyd: "Line Search for Averaged Operator Iteration". In: Proceedings of the 55th IEEE Conference on Decision and Control, 2016.
Mattias Fält, Pontus Giselsson: "Line Search for Generalized Alternating Projections". 2016.
Pontus Giselsson, Mattias Fält, Stephen Boyd: "Line Search for Averaged Operator Iteration". 2016.
Mattias Fält, Vasumathi Raman, Richard M. Murray: "Variable Elimination for Scalable Receding Horizon Temporal Logic Planning". In American Control Conference, 2015, Chicago, IL, United States, July 2015.
Vasumathi Raman, Mattias Fält, Tichakorn Wongpiromsarn, Richard M. Murray: "Online Horizon Selection in Receding Horizon Temporal Logic Planning". In IEEE/RSJ International Conference on Intelligent Robots and Systems , 2015, Hamburg, Germany, September 2015.
Mattias Fält, Lucas Jimbergsson: "Using ADMM for Hybrid System MPC". Master's Thesis ISRN LUTFD2/TFRT--5981--SE, Department of Automatic Control, Lund University, Sweden, June 2015.
Teaching
Vt2017
Ht2016
Nonlinear Control and Servo Systems
Vt2016
Mathematical Modelling, Advanced Course
Ht2015
Automatic Control, Basic Course for ED
Open source packages
Control systems toolbox for Julia ControlSystems.jl Documentation
Proximal Operators in julia: ProximalOperators.jl
First Order Solvers: FirstOrderSolvers.jl
Misc
PGP key: 477FE1B535DAB788