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* NeuroFlow 在线学习模块
*
* 支持:
* 1. 少样本快速适应
* 2. 在线梯度更新
* 3. 记忆巩固 (LTP)
* 4. 元学习支持
*/
#pragma once
#ifndef _USE_MATH_DEFINES
#define _USE_MATH_DEFINES
#endif
#include <cmath>
#include <memory>
#include <vector>
#include "backprop.hpp"
#include "memory.hpp"
#include "model.hpp"
#include "networks.hpp"
#include "tensor.hpp"
namespace neuroflow {
/**
* 损失函数
*/
class LossFunctions {
public:
// 交叉熵损失(分类)
static float cross_entropy(const Tensor& pred, const Tensor& target) {
size_t batch = pred.shape_[0];
size_t classes = pred.shape_[1];
const float* p = pred.as_fp32();
const float* t = target.as_fp32();
float loss = 0.0f;
for (size_t b = 0; b < batch; ++b) {
// Softmax
std::vector<float> probs(classes);
float max_val = p[b * classes];
for (size_t c = 1; c < classes; ++c) {
max_val = std::max(max_val, p[b * classes + c]);
}
float sum = 0.0f;
for (size_t c = 0; c < classes; ++c) {
probs[c] = std::exp(p[b * classes + c] - max_val);
sum += probs[c];
}
for (size_t c = 0; c < classes; ++c) {
probs[c] /= sum;
}
// Cross entropy
for (size_t c = 0; c < classes; ++c) {
if (t[b * classes + c] > 0) {
loss -= t[b * classes + c] * std::log(std::max(probs[c], 1e-7f));
}
}
}
return loss / batch;
}
// MSE损失(回归)
static float mse(const Tensor& pred, const Tensor& target) {
size_t n = pred.numel();
const float* p = pred.as_fp32();
const float* t = target.as_fp32();
float loss = 0.0f;
for (size_t i = 0; i < n; ++i) {
float diff = p[i] - t[i];
loss += diff * diff;
}
return loss / n;
}
// Softmax计算(无损失)
static void softmax(Tensor& x) {
if (x.shape_.size() != 2) return;
size_t batch = x.shape_[0];
size_t classes = x.shape_[1];
float* p = x.as_fp32();
for (size_t b = 0; b < batch; ++b) {
float max_val = p[b * classes];
for (size_t c = 1; c < classes; ++c) {
max_val = std::max(max_val, p[b * classes + c]);
}
float sum = 0.0f;
for (size_t c = 0; c < classes; ++c) {
p[b * classes + c] = std::exp(p[b * classes + c] - max_val);
sum += p[b * classes + c];
}
for (size_t c = 0; c < classes; ++c) {
p[b * classes + c] /= sum;
}
}
}
};
/**
* 简化版梯度计算器
*
* 仅支持关键层的梯度:
* - Linear: 权重梯度 + 输入梯度
* - LayerNorm: 输入梯度
* - GELU: 输入梯度
*/
class GradientCalculator {
public:
// Linear层梯度
struct LinearGradients {
Tensor weight_grad; // (out, in)
Tensor input_grad; // (batch, in)
};
static LinearGradients linear_backward(
const Tensor& input, // (batch, in_features)
const Tensor& output_grad, // (batch, out_features)
const Tensor& weight // (out, in)
) {
LinearGradients grads;
size_t batch = input.shape_[0];
size_t in_f = input.shape_[1];
size_t out_f = output_grad.shape_[1];
grads.weight_grad = Tensor({out_f, in_f}, QuantType::FP32);
grads.input_grad = Tensor({batch, in_f}, QuantType::FP32);
const float* inp = input.as_fp32();
const float* og = output_grad.as_fp32();
const float* w = weight.as_fp32();
float* wg = grads.weight_grad.as_fp32();
float* ig = grads.input_grad.as_fp32();
// 权重梯度: output_grad.T @ input
// weight_grad[i, j] = sum_b(output_grad[b, i] * input[b, j])
for (size_t i = 0; i < out_f; ++i) {
for (size_t j = 0; j < in_f; ++j) {
float sum = 0.0f;
for (size_t b = 0; b < batch; ++b) {
sum += og[b * out_f + i] * inp[b * in_f + j];
}
wg[i * in_f + j] = sum / batch; // 平均梯度
}
}
// 输入梯度: output_grad @ weight
// input_grad[b, j] = sum_i(output_grad[b, i] * weight[i, j])
for (size_t b = 0; b < batch; ++b) {
for (size_t j = 0; j < in_f; ++j) {
float sum = 0.0f;
for (size_t i = 0; i < out_f; ++i) {
sum += og[b * out_f + i] * w[i * in_f + j];
}
ig[b * in_f + j] = sum;
}
}
return grads;
}
// LayerNorm梯度
static Tensor layernorm_backward(
const Tensor& input,
const Tensor& output_grad,
float eps = 1e-5f
) {
size_t batch = input.shape_[0];
size_t dim = input.shape_[1];
Tensor input_grad({batch, dim}, QuantType::FP32);
const float* inp = input.as_fp32();
const float* og = output_grad.as_fp32();
float* ig = input_grad.as_fp32();
for (size_t b = 0; b < batch; ++b) {
// 计算均值和方差
float mean = 0.0f;
for (size_t d = 0; d < dim; ++d) {
mean += inp[b * dim + d];
}
mean /= dim;
float var = 0.0f;
for (size_t d = 0; d < dim; ++d) {
float diff = inp[b * dim + d] - mean;
var += diff * diff;
}
var /= dim;
float std = std::sqrt(var + eps);
// 梯度计算
float sum_grad = 0.0f;
float sum_grad_x = 0.0f;
for (size_t d = 0; d < dim; ++d) {
float normalized = (inp[b * dim + d] - mean) / std;
sum_grad += og[b * dim + d];
sum_grad_x += og[b * dim + d] * normalized;
}
for (size_t d = 0; d < dim; ++d) {
float normalized = (inp[b * dim + d] - mean) / std;
ig[b * dim + d] = (og[b * dim + d] - sum_grad / dim - normalized * sum_grad_x / dim) / std;
}
}
return input_grad;
}
// GELU梯度
static Tensor gelu_backward(const Tensor& input, const Tensor& output_grad) {
size_t n = input.numel();
Tensor input_grad(input.shape_, QuantType::FP32);
const float* inp = input.as_fp32();
const float* og = output_grad.as_fp32();
float* ig = input_grad.as_fp32();
for (size_t i = 0; i < n; ++i) {
float x = inp[i];
float gelu_grad = 0.5f * (1.0f + std::erf(x / std::sqrt(2.0f)))
+ x * std::exp(-x * x / 2.0f) / std::sqrt(2.0f * 3.14159265358979323846f);
ig[i] = og[i] * gelu_grad;
}
return input_grad;
}
};
/**
* 优化器
*/
class Optimizer {
public:
float lr;
float weight_decay;
Optimizer(float learning_rate = 0.001f, float wd = 0.0f)
: lr(learning_rate), weight_decay(wd) {}
// SGD更新
void sgd_step(Tensor& param, const Tensor& grad) {
if (param.shape_ != grad.shape_) return;
float* p = param.as_fp32();
const float* g = grad.as_fp32();
for (size_t i = 0; i < param.numel(); ++i) {
p[i] -= lr * (g[i] + weight_decay * p[i]);
}
}
// Adam状态
struct AdamState {
Tensor m; // 一阶矩
Tensor v; // 二阶矩
int t = 0;
};
AdamState create_adam_state(const Tensor& param) {
AdamState state;
state.m = Tensor(param.shape_, QuantType::FP32);
state.v = Tensor(param.shape_, QuantType::FP32);
memset(state.m.as_fp32(), 0, state.m.numel() * sizeof(float));
memset(state.v.as_fp32(), 0, state.v.numel() * sizeof(float));
return state;
}
// Adam更新
void adam_step(Tensor& param, const Tensor& grad, AdamState& state,
float beta1 = 0.9f, float beta2 = 0.999f, float eps = 1e-8f) {
if (param.shape_ != grad.shape_) return;
state.t++;
float* p = param.as_fp32();
const float* g = grad.as_fp32();
float* m = state.m.as_fp32();
float* v = state.v.as_fp32();
for (size_t i = 0; i < param.numel(); ++i) {
m[i] = beta1 * m[i] + (1 - beta1) * g[i];
v[i] = beta2 * v[i] + (1 - beta2) * g[i] * g[i];
float m_hat = m[i] / (1 - std::pow(beta1, state.t));
float v_hat = v[i] / (1 - std::pow(beta2, state.t));
p[i] -= lr * (m_hat / (std::sqrt(v_hat) + eps) + weight_decay * p[i]);
}
}
};
/**
* 在线学习器
*
* 支持少样本快速适应
*/
class OnlineLearner {
public:
NeuroFlowModel& model;
FullTrainer trainer;
OnlineLearner(NeuroFlowModel& m, float lr = 0.01f)
: model(m), trainer(m, lr) {}
// 单步在线学习
struct LearnResult {
float initial_loss;
float final_loss;
float loss_reduction;
int steps;
};
LearnResult learn_step(
const Tensor& input, // (batch, input_dim)
const Tensor& target, // (batch, output_dim) 或 (batch, classes)
int num_steps = 5,
bool use_memory = true
) {
LearnResult result;
result.steps = num_steps;
// 计算初始损失
NeuroFlowModel::Output output = model.forward(input);
result.initial_loss = LossFunctions::mse(output.output, target);
// 在线学习循环
for (int step = 0; step < num_steps; ++step) {
auto step_result = trainer.train_step(input, target);
(void)step_result;
}
// 计算最终损失
NeuroFlowModel::Output final_output = model.forward(input);
result.final_loss = LossFunctions::mse(final_output.output, target);
result.loss_reduction = result.initial_loss - result.final_loss;
return result;
}
// 少样本适应
LearnResult few_shot_adapt(
const std::vector<Tensor>& examples,
const std::vector<Tensor>& targets,
int num_steps = 10
) {
LearnResult result;
if (examples.empty()) {
result.initial_loss = result.final_loss = 0.0f;
return result;
}
// 合并为batch
size_t batch = examples.size();
Tensor input({batch, examples[0].shape_[1]}, QuantType::FP32);
Tensor target({batch, targets[0].shape_[1]}, QuantType::FP32);
float* inp = input.as_fp32();
float* tgt = target.as_fp32();
for (size_t b = 0; b < batch; ++b) {
memcpy(inp + b * examples[0].numel(),
examples[b].as_fp32(),
examples[b].numel() * sizeof(float));
memcpy(tgt + b * targets[0].numel(),
targets[b].as_fp32(),
targets[b].numel() * sizeof(float));
}
return learn_step(input, target, num_steps, true);
}
// 元学习:快速适应新任务
void meta_learn_step(
const Tensor& support_input,
const Tensor& support_target,
const Tensor& query_input,
const Tensor& query_target,
int inner_steps = 5
) {
// 1. 内循环:在support set上适应
LearnResult inner = learn_step(support_input, support_target, inner_steps, true);
// 2. 外循环:在query set上验证并更新元参数
NeuroFlowModel::Output query_pred = model.forward(query_input);
float query_loss = LossFunctions::mse(query_pred.output, query_target);
// 更新元学习参数(简化版)
// 实际MAML需要二阶梯度
model.memory->consolidate(query_input);
}
};
/**
* 在线学习测试
*/
inline void test_online_learning() {
printf("\n=== Online Learning Test ===\n");
// 创建模型
NeuroFlowModel::Config cfg;
cfg.input_dim = 512;
cfg.hidden_dim = 256;
cfg.output_dim = 10;
NeuroFlowModel model(cfg);
OnlineLearner learner(model, 0.01f);
// 单样本适应
Tensor input(std::vector<size_t>{1, 512}, QuantType::FP32);
Tensor target(std::vector<size_t>{1, 10}, QuantType::FP32);
// 初始化数据
float* inp = input.as_fp32();
float* tgt = target.as_fp32();
for (size_t i = 0; i < 512; ++i) inp[i] = (static_cast<float>(rand()) / RAND_MAX - 0.5f) * 0.1f;
for (size_t i = 0; i < 10; ++i) tgt[i] = (i == 3) ? 1.0f : 0.0f; // 目标类别3
// 学习
OnlineLearner::LearnResult result = learner.learn_step(input, target, 5, true);
printf(" Single sample adaptation:\n");
printf(" Initial loss: %.4f\n", result.initial_loss);
printf(" Final loss: %.4f\n", result.final_loss);
printf(" Loss reduction: %.4f\n", result.loss_reduction);
// 少样本适应
std::vector<Tensor> few_inputs(5);
std::vector<Tensor> few_targets(5);
for (size_t i = 0; i < 5; ++i) {
few_inputs[i] = Tensor(std::vector<size_t>{1, 512}, QuantType::FP32);
few_targets[i] = Tensor(std::vector<size_t>{1, 10}, QuantType::FP32);
float* fi = few_inputs[i].as_fp32();
float* ft = few_targets[i].as_fp32();
for (size_t j = 0; j < 512; ++j) fi[j] = (static_cast<float>(rand()) / RAND_MAX - 0.5f) * 0.1f;
for (size_t j = 0; j < 10; ++j) ft[j] = (j == (i % 10)) ? 1.0f : 0.0f;
}
result = learner.few_shot_adapt(few_inputs, few_targets, 10);
printf(" Few-shot adaptation (5 samples):\n");
printf(" Initial loss: %.4f\n", result.initial_loss);
printf(" Final loss: %.4f\n", result.final_loss);
// 记忆巩固效果
printf(" Memory consolidation test:\n");
float mem_before = model.memory->memory_bank.as_fp32()[0];
Tensor batch(std::vector<size_t>{32, cfg.hidden_dim}, QuantType::FP32);
model.memory->consolidate(batch);
float mem_after = model.memory->memory_bank.as_fp32()[0];
printf(" Memory bank change: %.6f\n", std::abs(mem_after - mem_before));
printf(" LTP rate: %.4f\n", model.memory->ltp_rate);
printf("=== Test Complete ===\n\n");
}
} // namespace neuroflow |