Hafta 114–20 Eyl
Derse giriş: data science ve deep learning
Introduction to the course: What is data science, deep learning, neural nets?
data sciencedeep learningneural nets
Hafta 221–27 Eyl
Linear algebra: subspaces ve matrix factorization
Basics of linear algebra: Fundamental subspaces, matrix factorization methods
fundamental subspacesmatrix factorization
Hafta 328 Eyl – 4 Eki
Reel Simetrik Matrisler için Spectral Theorem
Spectral Theorem for Real Symmetric Matrices and applications
spectral theoremreal symmetric matricesuygulamalar
Hafta 45–11 Eki
Singular Value Decomposition ve düşük ranklı yaklaşım
Singular Value Decomposition, best low-rank matrices, Eckart-Young Theorem
Singular Value Decompositionlow-rank approximationEckart-Young Theorem
Hafta 512–18 Eki
Matris normları ve regression yöntemleri
Matrix norms, least square problem, linear and ridge regression, Lasso.
matrix normleast squaresridge regressionLasso
Hafta 619–25 Eki
Pseudo-inverse, least squares ve ridge regression
Pseudo-inverse and applications to the least square and ridge regression.
pseudo-inverseleast squaresridge regression
Hafta 726 Eki – 1 Kas
Tekrar ve midterm sınavı
Review and Midterm Exam
tekrarmidterm
Hafta 82–8 Kas
Veriden öğrenme ve problemin matematiksel formülasyonu
Learning from data, mathematical formulation of the learning problem
learning from datamathematical formulationlearning problem
Hafta 99–15 Kas
Concentration of measure eşitsizlikleri I
Concentration of Measures Inequlities-I: Markov, Chebyshev, Hoeffding, Bernstein.
MarkovChebyshevHoeffdingBernstein
Hafta 1016–22 Kas
Concentration eşitsizlikleri II: öğrenmeye uygulamalar
Concentration of Measures Inequlities-II: applications to learning problem, Vapnik-Chervonenkis Theory, Randomized Trace Estimation (Girard-Hutchinson).
Vapnik-Chervonenkis Theoryrandomized trace estimationGirard-Hutchinsonlearning problem
Hafta 1123–29 Kas
Ölçü teorik olasılık ve convergence kavramları
Measure theoretic probability basics, convergence concepts in probability
measure theoretic probabilityconvergence in probability
Hafta 1230 Kas – 6 Ara
Büyük sayılar yasası ve Central Limit Theorem
Weak/Strong Law of Large Numbers, Central Limit Theorem, Delta Method
Law of Large NumbersCentral Limit TheoremDelta Method
Hafta 137–13 Ara
Neural networks I
Neural Networks-I
neural networks
Hafta 1414–20 Ara
Neural networks II
Neural Networks-II
neural networks