courses

• Note on Computer Vision
• Note on Advanced Computer Vision
• Note on Nonlinear Dynamic System

mathematics

• Some Computation on Sphere
• Krylov Subspace, Conjugate Gradient and Lancosz Iteration
• Note on Epipolar Geometry and Optic Slow
• Computations on Hyperbolic Geometry
• Spectral Graph Theory and Segmentation
• Note on Laplacian Operator (Diffusion) in Geometry Processing
• Note on Bayesian Optimization
• Note on Gaussian Process
• Note on Non-Parametric Regression
• Note on Invariance and Stable Manifold
• Note on Nonlinear Dynamic System
• Note on Lyapnov Stability Theory
• Note on Bifurcation Normal Form
• Note on Feedback Stablization
• PCA of High Dimensional Trajectory
• Analytical Techniques for Finding Spectrum of Tridiagonal Toeplitz Matrix
• Some Famous Matrix Determinant and Inversion Identities
• Probabilistic Models of Neural Population

neuroscience

• Note on Selective Attention
• Note on Computation by Synaptic Plasticity
• Note on Behavioral Study
• Note on Animal Perception
• Note on Fragment Based Object Recognition
• Note on Forms of Memory
• Note on Categorization and Concepts
• Note on Visual Imagery
• Note on Cortical Waves
• Note on Neural Tuning and Information
• Probabilistic Models of Neural Population

machine learning

• Note on Deep Unsupervised Learning
• Note on Feature Visualization (Updating)
• Note on CNN Interpretability
• Comparison of Major Deep Learning Frameworks (Updating)
• Note on Generative Adversarial Network
• Note on Deep Reinforcement Learning
• Note on MinMax Game
• Note on Bayesian Optimization
• Note on Gaussian Process
• Note on Non-Parametric Regression
• Note on Word2Vec
• Note on Classic CNNs
• Note on Hopfield Network
• Note on Modern Hopfield Network and Transformers
• Note on EM algorithm and likelihood lower bound
• Note on S4-Efficiently Modeling Long Sequences with Structured State Spaces
• Note on Hippo- Recurrent Memory with Optimal Polynomial Projection
• Note on Variants of Diffusion Scheduler, DDPM DDIM PNDM

algorithm

• Note on Belief Propagation Algorithm (Updating)
• Constrained CMA-ES Algorithm
• Note on Algorithm for Non-Negative Matrix Factorization
• Note on Optimization on Manifold
• LBFGS Algorithm
• Note on Online Linear Regression Algorithm
• Krylov Subspace, Conjugate Gradient and Lancosz Iteration
• Note on Hessian Aware Zeroth Order Optimization Framework
• Spectral Graph Theory and Segmentation
• Note on Laplacian Operator (Diffusion) in Geometry Processing
• Note on MinMax Game
• Brief Note on Online Correlation Computation
• Note on Bayesian Optimization
• Note on Gaussian Process
• Note on Variational Inference (Updating)
• Note on Non-Parametric Regression
• Note on Word2Vec
• Note on Hopfield Network
• Note on Modern Hopfield Network and Transformers
• Note on Kernel Ridge Regression
• Note on Kernel PCA
• Probabilistic Models of Neural Population
• Note on Diffusion Generative Models
• Note on EM algorithm and likelihood lower bound
• Note on Equivalent Score Matching Objective
• Note on S4-Efficiently Modeling Long Sequences with Structured State Spaces
• Note on Hippo- Recurrent Memory with Optimal Polynomial Projection
• Note on Variants of Diffusion Scheduler, DDPM DDIM PNDM

computer science

• Note on Network Commnunication
• Note on Computer Vision
• Note on ShapeCollage and Patch Based Shape Interpretation
• Note on Local Feature Descriptors
• Note on Image Prior-Spatial Relationship Modeling
• Note on Advanced Computer Vision
• Note on Image Prior-Markov Random Field Modelling
• Note on Semantic Vision Task
• Note on Stereo Problem
• Note on Epipolar Geometry and Optic Slow
• Note on Computational Photography
• Note on Hardware Based Computational Photography
• Note on Photometric Reasoning
• Note on MinMax Game