Quiz/Math/Stat

x

• axiom of choice
• MAP/MLE
• Homoscedasticity /ˌhoʊmoʊskəˈdæstɪ-/
• Bayesian Statistics in simple English
• variational inference
• jaccard vs cityblock
• FFT
• integral
  • Euler integral
    • beta function
    • gamma function
  • Lebesgue integration
• measure
  • Lebesgue
  • Radon
• Regularization(cont.)
• Rayleigh quotient
• condition number
• Law of large numbers
• Central limit theorem
• uniform convergence learnable
• coordinate ascent
• finite difference schemes and pde

Space

• Inner product space
• Hilbert
• Banach

Distributions

• beta
• Dirichlet
• gamma
• Poisson
• Cauchy
• chi-squared
• Dirichlet
  • polytope
  • simplex
  • Dirichlet distribution
  • Latent Dirichlet Allocation
  • Dirichlet process
• degenerate
  • Dirac delta

Matrix

• Hermitian : self adjoint = conjugate transpose
• Hessenberg : almost triangular
• Hessian
• orthonormal
• tridiagonal (cont.), band
• unitary
• Gram
• positive, negative (semi-)definite
• Lanczos method, power method (cont.)
• Invertible Matrix
  • Methods of matrix inversion
• Moore–Penrose pseudoinverse
• generalized eigen value problem?
• Decomposition
  • QR
  • Cholesky
  • SVD
  • Schur
• Toeplitz

Numbers

• Bézout's identity
• Extended Euclidean algorithm
• Euler's theorem

etc.

• \( (1+\frac{1}{n})^n \) is monotonically increasing
• partial difference schemes’ consistency and stability