Kernel

Kernel may refer to:

Computing

Kernel (image processing), a matrix used for image convolution
Kernel (operating system), the central component of most operating systems
Compute kernel, in GPGPU programming
Kernel method, in machine learning
In numerical analysis, a subroutine that performs a common numerical operation
- In particular, a routine that is executed in a vectorized loop; see, e.g., General-purpose computing on graphics processing units § Kernels
Kernelization, a technique for designing efficient algorithms

Kernel (algebra), a general concept that includes:
- Kernel (linear algebra), the set of all vectors which map to the zero vector
- Kernel (category theory), in category theory
- Kernel (set theory), the set of all pairs of elements that map to the same value
- Equalizer (mathematics), the set of all elements where the values of two functions coincide
Kernel of a directed graph, a subset of the vertex set of a digraph which is independent and absorbing

Kernel (geometry), the set of points within a polygon from which the whole polygon boundary is visible
Kernel (statistics), a weighting function used in kernel density estimation to estimate the probability density function of a random variable
Integral kernel, a function of two variables that defines an integral transform
Heat kernel, the fundamental solution to the heat equation on a specified domain
Convolution kernel
Stochastic kernel, the transition function of a stochastic process
Transition kernel, a generalization of a stochastic kernel
Pricing kernel, the stochastic discount factor used in mathematical finance
Positive-definite kernel, a generalization of a positive-definite matrix
Kernel trick, in statistics
Reproducing kernel Hilbert space