From d0ad3046654b840029225076d4e1626ff2dd8058 Mon Sep 17 00:00:00 2001 From: Visualize-ML <105787223+Visualize-ML@users.noreply.github.com> Date: Thu, 28 Jul 2022 08:14:20 -0400 Subject: [PATCH] Add files via upload --- Book4_Ch05_Python_Codes/Bk4_Ch5_01.py | 100 ++++++++++++++++++ ...阵乘法__数学要素__从加减乘除到机器学习.pdf | Bin 1118616 -> 1144391 bytes 2 files changed, 100 insertions(+) create mode 100644 Book4_Ch05_Python_Codes/Bk4_Ch5_01.py diff --git a/Book4_Ch05_Python_Codes/Bk4_Ch5_01.py b/Book4_Ch05_Python_Codes/Bk4_Ch5_01.py new file mode 100644 index 0000000..036cbba --- /dev/null +++ b/Book4_Ch05_Python_Codes/Bk4_Ch5_01.py @@ -0,0 +1,100 @@ + +############### +# Authored by Weisheng Jiang +# Book 4 | From Basic Arithmetic to Machine Learning +# Published and copyrighted by Tsinghua University Press +# Beijing, China, 2022 +############### + +# Bk4_Ch5_01.py + +import numpy as np + +a = np.array([[1], + [2], + [3]]) + +a_1D = np.array([1,2,3]) + +b = np.array([[-4], + [-5], + [-6]]) + +b_1D = np.array([-4,-5,-6]) + +#%% sum of the elements in a + +print(np.einsum('ij->',a)) +print(np.einsum('i->',a_1D)) + +#%% element-wise multiplication of a and b + +print(np.einsum('ij,ij->ij',a,b)) +print(np.einsum('i,i->i',a_1D,b_1D)) + +#%% inner product of a and b + +print(np.einsum('ij,ij->',a,b)) +print(np.einsum('i,i->',a_1D,b_1D)) + +#%% outer product of a and itself + +print(np.einsum('ij,ji->ij',a,a)) +print(np.einsum('i,j->ij',a_1D,a_1D)) + + +#%% outer product of a and b + +print(np.einsum('ij,ji->ij',a,b)) +print(np.einsum('i,j->ij',a_1D,b_1D)) + +#%% + +# A is a square matrix +A = np.array([[1,2,3], + [4,5,6], + [7,8,9]]) + +B = np.array([[-1,-4,-7], + [-2,-5,-8], + [-3,-6,-9]]) + +#%% transpose of A + +print(np.einsum('ji',A)) + +#%% sum of all values in A + +print(np.einsum('ij->',A)) + +#%% sum across rows + +print(np.einsum('ij->j',A)) + +#%% sum across columns + +print(np.einsum('ij->i',A)) + +#%% extract main diagonal of A + +print(np.einsum('ii->i',A)) + +#%% calculate the trace of A + +print(np.einsum('ii->',A)) + +#%% matrix multiplication of A and B + +print(np.einsum('ij,jk->ik', A, B)) + +#%% sum of all elements in the matrix multiplication of A and B + +print(np.einsum('ij,jk->', A, B)) + +#%% first matrix multiplication, then transpose + +print(np.einsum('ij,jk->ki', A, B)) + +#%% element-wise multiplication of A and B + +print(np.einsum('ij,ij->ij', A, B)) diff --git a/Book4_Ch05_矩阵乘法__数学要素__从加减乘除到机器学习.pdf b/Book4_Ch05_矩阵乘法__数学要素__从加减乘除到机器学习.pdf index 9ae84bdc1348334430217b56777d351be63d70c6..35c5e0979096ad040e31b4f1af2398919630d833 100644 GIT binary patch delta 458918 zcmZ5{Q+Qol_jhA7wr$%^8k=pL#%}Da*xq4dtFhU}wr$&u|2gkD&v)@%?B_Sfm}8AK z*Pi2IFg0Id;PgwJ8aNw!yao*f7cWP=AI=AG#-}rZamNqS1H2?GB&sB=Y#je0JLkX1 z$@MRCbN`Dx{~{YJ+y7{`|K!-X{^S2A$Hw#Tb8Ni->SJg9cb}d8KjdWn-}CHT?EfMi z_kRqYe-*Ry{)-$e{~_zYf*h<|b;)3NU=SSKoGHYC(D*=Q#7)HRWdlpVj8(%K;ZHKl 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