在C++中實現Softmax回歸模型的步驟如下:
std::vector<std::vector<double>> weights; // 權重矩陣
std::vector<double> bias; // 偏置向量
std::vector<double> softmax(const std::vector<double>& logits) {
std::vector<double> output;
double sum = 0.0;
for (int i = 0; i < logits.size(); i++) {
sum += exp(logits[i]);
}
for (int i = 0; i < logits.size(); i++) {
output.push_back(exp(logits[i]) / sum);
}
return output;
}
std::vector<double> forward(const std::vector<double>& input) {
std::vector<double> logits;
for (int i = 0; i < weights.size(); i++) {
double logit = bias[i];
for (int j = 0; j < input.size(); j++) {
logit += weights[i][j] * input[j];
}
logits.push_back(logit);
}
return softmax(logits);
}
void train(const std::vector<std::vector<double>>& inputs, const std::vector<int>& labels, double learning_rate, int epochs) {
for (int epoch = 0; epoch < epochs; epoch++) {
for (int i = 0; i < inputs.size(); i++) {
std::vector<double> output = forward(inputs[i]);
int label = labels[i];
for (int j = 0; j < weights.size(); j++) {
double target = (j == label) ? 1.0 : 0.0;
double error = target - output[j];
bias[j] += learning_rate * error;
for (int k = 0; k < inputs[i].size(); k++) {
weights[j][k] += learning_rate * error * inputs[i][k];
}
}
}
}
}
int predict(const std::vector<double>& input) {
std::vector<double> output = forward(input);
int prediction = std::distance(output.begin(), std::max_element(output.begin(), output.end()));
return prediction;
}
通過以上步驟,即可在C++中實現Softmax回歸模型。在實際應用中,可以根據具體數據集和任務對模型進行調參和優化,以提高模型的性能和泛化能力。