Kernel.py

import numpy as np
import numpy.linalg as la


class Kernel(object):
    """Implements list of kernels from
    http://en.wikipedia.org/wiki/Support_vector_machine
    """
    @staticmethod
    def linear():
        return lambda x, y: np.inner(x, y)

    @staticmethod
    def gaussian(sigma):
        return lambda x, y: \
            np.exp(-np.sqrt(la.norm(x-y) ** 2 / (2 * sigma ** 2)))

    @staticmethod
    def _polykernel(dimension, offset):
        return lambda x, y: (offset + np.inner(x, y)) ** dimension

    @classmethod
    def inhomogenous_polynomial(cls, dimension):
        return cls._polykernel(dimension=dimension, offset=1.0)

    @classmethod
    def homogenous_polynomial(cls, dimension):
        return cls._polykernel(dimension=dimension, offset=0.0)

    @staticmethod
    def hyperbolic_tangent(kappa, c):
        return lambda x, y: np.tanh(kappa * np.dot(x, y) + c)