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Lecture
Scientific Machine Learning: Introduction to Spin Glass Models
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Dimensionality Reduction: PCA and LDA
Covers dimensionality reduction techniques like PCA and LDA, clustering methods, density estimation, and data representation.
Unsupervised Learning: Clustering & Dimensionality Reduction
Introduces unsupervised learning through clustering with K-means and dimensionality reduction using PCA, along with practical examples.
Ferromagnets and the Ising Model
Covers the Ising model, ferromagnetic materials, spins on a lattice, and spin correlations.
Clustering & Density Estimation
Covers clustering, PCA, LDA, K-means, GMM, KDE, and Mean Shift algorithms for density estimation and clustering.
Unsupervised Learning: Dimensionality Reduction and Clustering
Covers unsupervised learning, focusing on dimensionality reduction and clustering, explaining how it helps find patterns in data without labels.
Density of States and Bayesian Inference in Computational Mathematics
Explores computing density of states and Bayesian inference using importance sampling, showcasing lower variance and parallelizability of the proposed method.
Clustering & Density Estimation
Covers dimensionality reduction, PCA, clustering techniques, and density estimation methods.
Reinforcement Learning Concepts
Covers key concepts in reinforcement learning, neural networks, clustering, and unsupervised learning, emphasizing their applications and challenges.
Magnetic Ordering in Materials
Delves into magnetic ordering in materials, covering neglected spin interactions, Curie temperature, Neel temperature, and the Heisenberg Hamiltonian.
Bayesian Inference: Optimal Estimation
Explores optimal Bayesian inference, denoising, scalar estimation, and phase transitions.