# PDEs & Data Control Seminar

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## PDEs & Data Control Seminar

The goal of this seminar is multifold: (i) provide training to undergraduate and graduate students; (ii) learn new and exciting topics which are of wider interest. Typically, students and postdocs take the lead and present the material chosen at the beginning of the semester. The seminar covers topics in PDEs, Optimization, Data Science, Scientific Computing, Probability, and Machine Learning.

**Everyone is welcome to attend**. For questions, please contact Harbir Antil at hantil@gmu.edu.

**Spring 2024**

## Past Semesters

### Fall 2020 - Fall 2023

### Spring 2020

Date | Location | Speaker | Topic |
---|---|---|---|

January 27, 2020 | Room 4106 Exploratory Hall | Deepanshu Verma | Newtons Method for Optimization |

February 3, 2020 | Room 4106 Exploratory Hall | Rafael Arndt | Quasi Newton and Levenberg-Marquardt |

February 10, 2020 | Room 4106 Exploratory Hall | Deepanshu Verma | Globally Convergent Methods |

February 17, 2020 | Room 4106 Exploratory Hall | Kiefer Green | Intro to Deep Learning |

February 24, 2020 | Room 4106 Exploratory Hall | Thomas S. Brown | Intro to Deep Learning for Mathematicians |

March 2, 2020 | Room 4106 Exploratory Hall | -- | No Seminar |

March 9, 2020 | Room 4106 Exploratory Hall | -- | Spring break |

March 16, 2020 | Room 4106 Exploratory Hall | TBA | TBA |

March 23, 2020 | Room 4106 Exploratory Hall | TBA | TBA |

March 30, 2020 | Room 4106 Exploratory Hall | TBA | TBA |

April 6, 2020 | Room 4106 Exploratory Hall | TBA | TBA |

April 13, 2020 | Room 4106 Exploratory Hall | TBA | TBA |

April 20, 2020 | Room 4106 Exploratory Hall | TBA | TBA |

### Fall 2019

The plan for this semester is to go through the new book **Linear Algebra and Learning from Data** by Gilbert Strang.

One can find the contents of the book here. The material we plan to cover includes:

Chapter III: Low rank and compressed sensing

Chapter VI: Optimization

Chapter VII: Learning from data

Date | Location | Speaker | Topic |
---|---|---|---|

September 9, 2019 | Showcase Room Research Hall | Deepanshu Verma | Changes in A-1 from changes in A |

September 16, 2019 | Showcase Room Research Hall | Rafael Arndt | Interlacing Eigenvalues and Low Rank Signals |

September 23, 2019 | Showcase Room Research Hall | Rafael Arndt | Interlacing Eigenvalues and Low Rank Signals |

September 30, 2019 | Showcase Room Research Hall | Deepanshu Verma | Rapidly Decaying Singular Values |

October 7, 2019 | Showcase Room Research Hall | Deepanshu Verma | Rapidly Decaying Singular Values |

October 15, 2019 | Showcase Room Research Hall | Rafael Arndt | Split Algorithms for l2 + l1 |

October 21, 2019 | Showcase Room Research Hall | Deepanshu Verma | Split Algorithms for l2 + l1 |

October 28, 2019 | Showcase Room Research Hall | Rafael Arndt | Compressed Sensing |

November 4, 2019 | Showcase Room Research Hall | Rafael Arndt | Optimization |

November 11, 2019 | --- | --- | No Seminar |

November 18, 2019 | Showcase Room Research Hall | Mahendra Panagoda | Matrix Completion Methods |

November 25, 2019 | Showcase Room Research Hall | Rafael Arndt | Optimization |

December 2, 2019 | Showcase Room Research Hall | Deepanshu Verma | Intro to Learning from Data |

### Spring 2019

Date | Location | Speaker | Topic |
---|---|---|---|

January 28, 2019 | Room 4301 Exploratory Hall | Harbir Antil | Measure Theory and Functional Analysis |

February 4, 2019 | Room 4301 Exploratory Hall | Harbir Antil | Measure Theory and Functional Analysis |

February 11, 2019 | Room 4301 Exploratory Hall | Harbir Antil | Measure Theory and Functional Analysis |

February 18, 2019 | Room 4301 Exploratory Hall | Harbir Antil | PDEs and Optimization in function spaces |

February 25, 2019 | -- | -- | No Seminar |

March 4, 2019 | Room 4301 Exploratory Hall | Harbir Antil | PDEs and Optimization in function spaces |

March 11, 2019 | -- | -- | No Seminar due to Spring Break |

March 18, 2019 | Room 4301 Exploratory Hall | Harbir Antil | Software Development for Optimization with PDEs |

March 25, 2019 | Room 4301 Exploratory Hall | Ratna Khatri and Deepanshu Verma | ECOM19 Practice Talks |

April 1, 2019 | Room 4301 Exploratory Hall | Ratna Khatri and Deepanshu Verma | ECOM19 practice talks |

April 15, 2019 | Room 4301 Exploratory Hall | Kiefer Green | Analysis of Multigrid methods for Elliptic Problems |

April 22, 2019 | Room 4301 Exploratory Hall | Kiefer Green | Analysis of Multigrid methods for Elliptic Problems |

April 29, 2019 | Room 4301 Exploratory Hall | Kiefer Green | Analysis of Multigrid methods for Elliptic Problems |

May 6, 2019 | Room 4301 Exploratory Hall | Kiefer Green | Analysis of Multigrid methods for Elliptic Problems |

May 14, 2019 | Room 4301 Exploratory Hall | Kiefer Green | Analysis of Multigrid methods for Elliptic Problems |

### Fall 2018

Date | Location | Speaker | Topic |
---|---|---|---|

September 10, 2018 | Room 3301 Exploratory Hall | Deepanshu Verma | Introduction to Augmented Lagrangian Methods |

September 17, 2018 | Room 3301 Exploratory Hall | Deepanshu Verma | Ill-Conditioning of Quadratic Penalty Function Methods |

September 24, 2018 | Room 4208 Exploratory Hall | Deepanshu Verma | Geometric Interpretation of the Method of Multipliers |

October 1, 2018 | Room 4208 Exploratory Hall | Deepanshu Verma | Implementing the Method of Multipliers in MATLAB for a simple example |

October 9, 2018 | (Open Collaboration Area) Room 4307 Exploratory Hall | Deepanshu Verma | Dealing with inequality constraints using the Method of Multipliers |

October 15, 2018 | Showcase Room Research Hall | Deepanshu Verma | Dealing with inequality constraints and introducing dual function Augmented Lagrangian |

October 22, 2018 | Showcase Room Research Hall | Deepanshu Verma | Introducing dual function for Augmented Lagrangian |

October 29, 2018 | Showcase Room Research Hall | Deepanshu Verma | Second order method of multipliers and exponential method of multipliers |

November 5, 2018 | Showcase Room Research Hall | Deepanshu Verma | Second order method of multipliers and Exponential method of multipliers - Part 2 |

November 12, 2018 | Showcase Room Research Hall | Deepanshu Verma | Exact Penalty Methods |

November 19, 2018 | Showcase Room Research Hall | Deepanshu Verma | Direction of Descent for Exact Penalties |

November 26, 2018 | Showcase Room Research Hall | Deepanshu Verma | Sequential Quadratic Programming-I |

December 3, 2018 | Room 3301 Exploratory Hall | Deepanshu Verma | Sequential Quadratic Programming-II |

### Spring 2018

Speaker | Topic |

H. Antil | PDE Constrained Optimization |

### Fall 2017

Speakers | Topic |

H. Antil and T. Le | Optimization under Uncertainty |

### Spring 2017

Speakers | Topic |

H. Antil, P. O’Neil and D. Torrejon | Fractional PDEs |

### Fall 2016

Speaker | Topic |

D. Torrejon | Gamma convergence |

### Spring 2016

Speakers | Topic |

H. Antil, P. O’Neil and D. Torrejon | PDE Constrained Optimization - II |

### Fall 2015

Speakers | Topic |

H. Antil, P. O’Neil and D. Torrejon | PDE Constrained Optimization - I |

### Spring 2015

Speaker | Topic | ||

D. Torrejon | Chapter 1, 2 | ||

J. Cameron | TBD |

### Spring 2014

Speakers | Topic |

M. Panagoda and J. Snider | Chapter 3 |

### Fall 2013

Speaker | Topic |

D. Torrejon | Chapters 1 and 2 |