Abstract

Factor Graphs are graphical models that can represent a wide range of problems in Spatial AI, including - but not limited to SLAM, Visual and Lidar Odometry, Calibration, Structure from Motion, Model Predictive Control, and Image Classification. Effective methods to solve factor graphs are nowadays available.

This course aims to provide the students with a basic background on formalism and the techniques that can be used to solve these models.

We plan to present several practicals with small projects covering some of the topics included in this course. 

The course is done within 20 hours of teaching and practical tests, is specifically thought for PhD programs but can be followed by anyone enrolled.

Teachers

Syllabus (tentative)

The syllabus might be adjusted  based on the student's feedback.

Basics (26/05)

• Belief

• Gaussian Distribution

• Least Squares

• Manifolds

• Robust Cost Functions

Multivariate Problems (27/05)

• Factor Graphs

• Pose-Graphs

• Bundle Adjustment

Applications with Real Data (28/05)

• Use multiple sensors within Factor Graphs 

• SLAM and Bundle Adjustment Applications

Homework Presentation

Constrained Optimization (29/05)

• Alternate Lagrangian

• Synchronization

• MPC

Continuous Estimation and GBP on Factor Graphs (30/05)

• Continuous Time Estimation with Factor Graphs and Gaussian Processes

• Belief Propagation and Message Passing on Factor Graphs

• Continuous Time Estimation with Gaussian Belief Propagation and Gaussian Processes 

• Other Spatial AI Applications with Gaussian Belief Propagation 

Final Quick Quiz

Logistics

Where:  

• in presence: DIAG Sapienza, Via Ariosto 25, 00185, Rome, Italy

• remotely: Via Zoom Link, shared with the people upon enrollment

When:

May 26-30, 2025 @ 9:00-13:00

Evaluation:

• small quiz in class submitted through Google Forms on the last day

• complete a small homeworks started in class, and finish by Sunday June 1st @ 23:59:59 (will be presented at the end of 28/05 lesson), send the homework as a .zip file with all necessary dependencies, email subject [FG25] Homework Submission

Enrollment Form

Please enroll using the following form. Info about the classroom and links to follow remotely will be sent to your email before the course.