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X W0 layer_1 W1 pred y | |
5.1 3.5 1.4 0.2 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.05 0 | |
4.9 3.0 1.4 0.2 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.06 0 | |
6.2 3.4 5.4 2.3 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.93 1 | |
5.9 3.0 5.1 1.8 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.5 0.92 1 | |
0.5 | |
0.5 | |
0.5 | |
0.5 |
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dSigmoid(dDot(X, W0, l1, X_h, X_w, l1_w), l1, X_h, l1_w); |
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__global__ void kDot(const float *m1, const float *m2, float *output, const int m1_rows , const int m1_columns, const int m2_columns ){ | |
/* Computes the product of two matrices: m1 x m2. | |
Inputs: | |
m1: array, left matrix of size m1_rows x m1_columns | |
m2: array, right matrix of size m1_columns x m2_columns (the number of rows in the right matrix | |
must be equal to the number of the columns in the left one) | |
output: array, the results of the computation are to be stored here: | |
m1 * m2, product of two arrays m1 and m2, a matrix of size m1_rows x m2_columns | |
m1_rows: int, number of rows in the left matrix m1 | |
m1_columns: int, number of columns in the left matrix m1 |
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__global__ void kSigmoid(float const *input, float *output) { | |
/* Computes the value of the sigmoid function f(x) = 1/(1 + e^-x). | |
Inputs: | |
input: array | |
output: array, the results of the computation are to be stored here | |
*/ | |
const int id = blockIdx.x * blockDim.x + threadIdx.x; | |
output[id] = 1.0 / (1.0 + std::exp(-input[id])); |
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dSigmoid(dDot(l1, W1, pred, X_h, l1_w, y_w), pred, X_h, y_w); |
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dMartixByMatrixElementwise(dMartixSubstractMatrix(y, pred, pred_d, X_h, y_w), dSigmoid_d(pred, buffer, X_h, y_w), pred_d, X_h, y_w ); |
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__global__ void kMartixSubstractMatrix(const float *m1, const float *m2, float *output) { | |
/* Computes the (elementwise) difference between two arrays | |
Inputs: | |
m1: array | |
m2: array | |
output: array,the results of the computation are to be stored here | |
*/ | |
const int id = blockIdx.x * blockDim.x + threadIdx.x; |
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__global__ void kMartixByMatrixElementwise(const float *m1, const float *m2, float *output) { | |
/* Computes the product of two arrays (elementwise multiplication). | |
Inputs: | |
m1: array | |
m2: array | |
output: array,the results of the multiplication are to be stored here | |
*/ | |
const int id = blockIdx.x * blockDim.x + threadIdx.x; |
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dMartixByMatrixElementwise(dDot_m1_m2T(pred_d, W1, l_1_d, X_h, y_w, l1_w), dSigmoid_d(l1, buffer, X_h, l1_w), l_1_d, X_h, l1_w); |
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__global__ void kDot_m1_m2T(const float *m1, const float *m2, float *output, const int m1_columns, const int m2_rows ){ | |
/* Updates the output matrix with the product of two matrices: m1 and m2 transposed. | |
Inputs: | |
m1: array, left matrix of size m1_rows x m1_columns | |
m2: array, right matrix of size m2_rows x m1_columns (m2 transposed will be of size m1_columns x m2_rows) | |
output: array, the results of the computation are to be stored here: | |
m1 * m2, product of two arrays m1 and m2, a matrix of size m1_rows x m2_rows | |
m1_columns: int, number of columns in the left matrix m1 | |
m2_rows: int, number of rows in the left matrix m2 | |
*/ |