ECLIPSE Lab — Presentations & Teaching

Lecture slides, conference talks, and course materials from the ECLIPSE Lab at FAU Erlangen-Nürnberg.

Data Science for Electron Microscopy

Week 01
Python crash course & course launch
Week 02
What is learning? EM data & where noise comes from
Week 03
Linear algebra & PCA you actually need
Week 04
Regression, gradient descent & honest validation
Week 05
Neural networks from first principles
Week 06
CNNs for microscopy images
Week 07
Beating small & expensive data
Week 08
Unsupervised learning & autoencoders for EM
Week 09
Probability, uncertainty & Gaussian processes
Week 10
Active & automated electron microscopy
Week 11
Imaging inverse problems I
Week 12
Imaging inverse problems II — ptychography, physics-informed & generative
Week 13
Explainability, trust & course synthesis

Mathematical Foundations of AI & ML

Unit 01
Learning vs Data Analysis; Models, Loss Functions
Unit 02
Linear Algebra Refresher; Covariance, PCA/SVD
Unit 03
Regression as Loss Minimization
Unit 04
Neural Networks — From Neurons to CNNs
Unit 05
Clustering & Autoencoders
Unit 06
Loss Landscapes & Optimization Behavior
Unit 07
Probabilistic View of Learning; Noise; Conformal Prediction
Unit 08
Tree Ensembles for Tabular Learning
Unit 09
Latent Spaces & Advanced Representation Learning
Unit 10
Attention & Transformers
Unit 11
Generative Models — VAE & Diffusion
Unit 12
Uncertainty in Predictions
Unit 13
Physics-Informed & Constrained Learning
Unit 14
Explainability, Limits, and Scientific Trust

Materials Genomics

Unit 01
What is Materials Genomics?
Unit 02
QM Postulates, Solvable Systems, Multi-Electron Atoms
Unit 03
Quantum Chemistry Methods (HF, MP, CC, DFT)
Unit 04
Thermodynamics, Statistical Mechanics & Classical Atomistic Simulation
Unit 05
Monte Carlo Sampling & Continuum Mechanics
Unit 06
Local Atomic Environments & Universal MLIPs
Unit 07
Graph-Based Crystal Representations
Unit 08
Regression and Generalization in Materials Data
Unit 09
Neural Networks for Materials Properties
Unit 10
Representation Learning and Feature Discovery
Unit 12
Generative Models & Inverse Design
Unit 13
Uncertainty-Aware Discovery & Gaussian Processes
Unit 14
Physical Constraints, Trust, and Integration Outlook

Machine Learning for Characterization and Processing

Unit 01
What makes materials data special?
Unit 02
Physics of data formation
Unit 03
Data quality, labels, and leakage
Unit 04
From classical microstructure metrics to learned representations
Unit 05
Unsupervised methods for materials — clustering & autoencoders
Unit 06
Data scarcity & transfer learning
Unit 07
Generalization, robustness, and process windows
Unit 08
Inverse problems and process maps
Unit 09
ML for characterization signals
Unit 09b
Transformers for materials (ViT, Flash Attention, Mamba)
Unit 10
Automation in microscopy and characterization
Unit 11
Uncertainty-aware regression & Gaussian Processes
Unit 12
Physics-informed and constrained ML
Unit 13
Integration, limits, and reflection

Conference Talks

Talk
2025 MC
Talk
2025 M&M