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import numpy as np def batchnorm (x, gamma, beta, epsilon = 1e-9): # Mean and variance of each feature mu = np. mean (x, axis = 0) # shape (N,) var = np. var (x, axis = 0) # shape (N,) # Normalize the activations x_hat = (x-mu) / np. sqrt (var + epsilon) # shape (B, N) # Apply the linear transform y = gamma * x_hat + beta # shape (B, N) return y
NumPy (pronounced / ˈ n ʌ m p aɪ / NUM-py) is a library for the Python programming language, adding support for large, multi-dimensional arrays and matrices, along with a large collection of high-level mathematical functions to operate on these arrays. [3]
#!/usr/bin/env python3 import numpy as np def power_iteration (A, num_iterations: int): # Ideally choose a random vector # To decrease the chance that our vector # Is orthogonal to the eigenvector b_k = np. random. rand (A. shape [1]) for _ in range (num_iterations): # calculate the matrix-by-vector product Ab b_k1 = np. dot (A, b_k) # calculate the norm b_k1_norm = np. linalg. norm (b_k1 ...
It's used particularly in NumPy, where an ellipsis is used for slicing an arbitrary number of dimensions for a high-dimensional array: [9] >>> import numpy as np ...
This python example uses the percentile function from the numerical library numpy and works in Python 2 and 3. import numpy as np def fivenum ( data ): """Five-number summary.""" return np . percentile ( data , [ 0 , 25 , 50 , 75 , 100 ], method = "midpoint" )
import numpy as np def otsu_intraclass_variance (image, threshold): """ Otsu's intra-class variance. If all pixels are above or below the threshold, this will throw a ...
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In xfig, figures may be drawn using objects such as circles, boxes, lines, spline curves, text, etc. It is possible to import images in many formats, such as GIF, JPEG, SVG, and EPSF. An advantage of Xfig consists in its ability to display nice mathematical formula in the labels and legends using the TeX language.