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Quiz/Math/Stat

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목차

  • 1 x
  • 2 Space
  • 3 Distributions
  • 4 Matrix
  • 5 Numbers
  • 6 etc.

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
  • 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

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
  • Toeplitz

Numbers

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

etc.

  • \( (1+\frac{1}{n})^n \) is monotonically increasing
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