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User:Hagerty7/Books/Computational Learning Theory Vol1

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Computational Learning Theory[edit]

Sub-Fields and Technical Enclosures[edit]

INTRODUCTION
Computational learning theory
THEORY OF COMPUTATION
Theory of computation
Church–Turing thesis
Turing machine
Turing completeness
Lambda calculus
Combinatory logic
Μ-recursive function
Markov algorithm
Register machine
THEORY OF COMPUTATION
COMPUTATIONAL COMPLEXITY THEORY
Computational complexity theory
Complexity
Complexity class
Computational problem
Decision problem
Function problem
Counting problem (complexity)
Optimization problem
Promise problem
Blum axioms
DTIME
P (complexity)
EXPTIME
NTIME
NP (complexity)
PP (complexity)
Co-NP
NEXPTIME
Time complexity
DSPACE
L (complexity)
PSPACE
EXPSPACE
NSPACE
NL (complexity)
BPP (complexity)
ZPP (complexity)
RP (complexity)
AC (complexity)
NC (complexity)
FP (complexity)
FNP (complexity)
TFNP
PLS (complexity)
PPA (complexity)
PPAD (complexity)
BQP
QMA
Sharp-P
IP (complexity)
Arthur–Merlin protocol
Interactive proof system
ALL (complexity)
Time hierarchy theorem
Space hierarchy theorem
Reduction (complexity)
Polynomial-time reduction
Log-space reduction
Complete (complexity)
P-complete
NP-hardness
NP-intermediate
NP-completeness
P versus NP problem
Combinatorial explosion
Cobham's thesis
Big O notation
L-notation
List of complexity classes
List of computability and complexity topics
VAPNIK-CHERVONENKIS THEORY
Vapnik–Chervonenkis theory
VAPNIK-CHERVONENKIS THEORY
EMPIRICAL PROCESSES
Empirical process
Stochastic process
Random variable
Central limit theorem
Empirical measure
Measure (mathematics)
Measurable function
Domain of a function
Probability space
Random element
Random measure
Probability measure
Empirical probability
Independence (probability theory)
Independent and identically distributed random variables
Indicator function
Law of large numbers
Uniform convergence
Glivenko–Cantelli theorem
Convergence of random variables
Donsker's theorem
Gaussian process
Convergence of measures
Brownian bridge
Slutsky's theorem
Covering number
Dudley's theorem