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// 表示学习高级(v79.0.0)
// 自编码器、变分自编码器、生成对抗网络、对比学习、自监督学习、预训练、微调
///|
/// 表示学习任务类型
pub(all) enum RepresentationLearningTaskType {
Autoencoder
VariationalAutoencoder
GenerativeAdversarialNetwork
ContrastiveLearning
SelfSupervisedLearning
Pretraining
FineTuning
RepresentationLearning
FeatureLearning
Unknown
} derive(Eq)
///|
/// 自编码器类型
pub(all) enum AutoencoderType {
Undercomplete
Sparse
Denoising
Contractive
Convolutional
Recurrent
Variational
Conditional
Adversarial
Unknown
} derive(Eq)
///|
/// GAN类型
pub(all) enum GANType {
VanillaGAN
DCGAN
WGAN
WGANGP
CycleGAN
Pix2Pix
StyleGAN
ProGAN
BigGAN
ConditionalGAN
Unknown
} derive(Eq)
///|
/// 对比学习方法类型
pub(all) enum ContrastiveLearningMethodType {
SimCLR
MoCo
BYOL
SwAV
DINO
CLIP
ALIGN
SimSiam
BarlowTwins
VICReg
Unknown
} derive(Eq)
///|
/// 自监督学习任务类型
pub(all) enum SelfSupervisedTaskType {
RotationPrediction
Colorization
JigsawPuzzle
RelativePosition
ContextPrediction
MaskedImageModeling
MaskedAutoencoder
ContrastivePredictiveCoding
DeepCluster
SeLa
Unknown
} derive(Eq)
///|
/// 表示学习结果
pub(all) struct RepresentationLearningResult {
learned_representations : Array[Array[Double]]
num_samples : Int
original_dimension : Int
representation_dimension : Int
reconstruction_error : Double
training_loss : Double
validation_loss : Double
training_accuracy : Double
validation_accuracy : Double
learning_time_ms : Double
num_epochs : Int
converged : Bool
encoder_layers : Array[Int]
decoder_layers : Array[Int]
}
///|
/// 自编码器结果
pub(all) struct AutoencoderResult {
encoded_representations : Array[Array[Double]]
reconstructed_data : Array[Array[Double]]
num_samples : Int
original_dimension : Int
latent_dimension : Int
reconstruction_error : Double
training_loss : Double
validation_loss : Double
num_epochs : Int
learning_rate : Double
autoencoder_type : AutoencoderType
learning_time_ms : Double
encoder_weights : Array[Array[Double]]
decoder_weights : Array[Array[Double]]
}
///|
/// VAE结果
pub(all) struct VAEResult {
encoded_representations : Array[Array[Double]]
reconstructed_data : Array[Array[Double]]
latent_means : Array[Array[Double]]
latent_log_vars : Array[Array[Double]]
num_samples : Int
original_dimension : Int
latent_dimension : Int
reconstruction_loss : Double
kl_divergence : Double
total_loss : Double
num_epochs : Int
learning_rate : Double
learning_time_ms : Double
}
///|
/// GAN结果
pub(all) struct GANResult {
generated_samples : Array[Array[Double]]
num_generated : Int
generator_loss : Double
discriminator_loss : Double
total_loss : Double
num_epochs : Int
learning_rate : Double
gan_type : GANType
latent_dimension : Int
learning_time_ms : Double
inception_score : Double
fid_score : Double
}
///|
/// 对比学习结果
pub(all) struct ContrastiveLearningResult {
learned_representations : Array[Array[Double]]
num_samples : Int
representation_dimension : Int
training_loss : Double
validation_loss : Double
num_epochs : Int
learning_rate : Double
temperature : Double
batch_size : Int
contrastive_method : ContrastiveLearningMethodType
learning_time_ms : Double
positive_pairs : Int
negative_pairs : Int
top1_accuracy : Double
top5_accuracy : Double
}
///|
/// 自监督学习结果
pub(all) struct SelfSupervisedLearningResult {
learned_representations : Array[Array[Double]]
num_samples : Int
representation_dimension : Int
pretraining_task : SelfSupervisedTaskType
pretraining_loss : Double
pretraining_accuracy : Double
num_pretraining_epochs : Int
downstream_accuracy : Double
learning_time_ms : Double
linear_probe_accuracy : Double
fine_tuning_accuracy : Double
}
///|
/// 预训练结果
pub(all) struct PretrainingResult {
pretrained_model_weights : Array[Array[Double]]
num_layers : Int
num_parameters : Int
pretraining_loss : Double
pretraining_accuracy : Double
num_epochs : Int
batch_size : Int
learning_rate : Double
pretraining_time_ms : Double
model_architecture : String
dataset_size : Int
}
///|
/// 微调结果
pub(all) struct FineTuningResult {
fine_tuned_weights : Array[Array[Double]]
num_layers : Int
num_frozen_layers : Int
num_trainable_layers : Int
training_loss : Double
validation_loss : Double
training_accuracy : Double
validation_accuracy : Double
test_accuracy : Double
num_epochs : Int
learning_rate : Double
fine_tuning_time_ms : Double
learning_rate_scheduler : String
}
///|
/// 表示学习配置
pub(all) struct RepresentationLearningConfig {
task_type : RepresentationLearningTaskType
autoencoder_type : AutoencoderType
gan_type : GANType
contrastive_method : ContrastiveLearningMethodType
self_supervised_task : SelfSupervisedTaskType
latent_dimension : Int
hidden_dimensions : Array[Int]
learning_rate : Double
num_epochs : Int
batch_size : Int
temperature : Double
margin : Double
regularization : Double
dropout_rate : Double
use_pretrained : Bool
pretrained_model_path : String
freeze_layers : Bool
num_frozen_layers : Int
use_data_augmentation : Bool
use_gpu : Bool
random_state : Int
}
///|
/// 创建默认表示学习配置
pub fn create_default_representation_learning_config() -> RepresentationLearningConfig {
RepresentationLearningConfig::{
task_type: RepresentationLearningTaskType::Autoencoder,
autoencoder_type: AutoencoderType::Undercomplete,
gan_type: GANType::VanillaGAN,
contrastive_method: ContrastiveLearningMethodType::SimCLR,
self_supervised_task: SelfSupervisedTaskType::MaskedAutoencoder,
latent_dimension: 64,
hidden_dimensions: [256, 128],
learning_rate: 0.001,
num_epochs: 100,
batch_size: 32,
temperature: 0.07,
margin: 1.0,
regularization: 0.0001,
dropout_rate: 0.5,
use_pretrained: false,
pretrained_model_path: "",
freeze_layers: false,
num_frozen_layers: 0,
use_data_augmentation: true,
use_gpu: false,
random_state: 42,
}
}
///|
/// 简化的自编码器编码
fn encode_simple(
data : Array[Double],
input_dim : Int,
latent_dim : Int,
) -> Array[Double] {
let encoded : Array[Double] = []
for i in 0..<latent_dim {
let mut sum = 0.0
for j in 0..<input_dim {
if j < data.length() {
// 简化的权重:使用正弦函数生成伪随机权重
let weight = (i * input_dim + j).to_double() * 0.1
sum += data[j] * weight
}
}
// 简化的激活函数:ReLU
let activated = if sum > 0.0 { sum } else { 0.0 }
encoded.push(activated / input_dim.to_double())
}
encoded
}
///|
/// 简化的自编码器解码
fn decode_simple(
encoded : Array[Double],
latent_dim : Int,
output_dim : Int,
) -> Array[Double] {
let decoded : Array[Double] = []
for i in 0..<output_dim {
let mut sum = 0.0
for j in 0..<latent_dim {
if j < encoded.length() {
let weight = (j * output_dim + i).to_double() * 0.1
sum += encoded[j] * weight
}
}
let activated = if sum > 0.0 { sum } else { 0.0 }
decoded.push(activated / latent_dim.to_double() * 255.0)
}
decoded
}
///|
///|
/// 自编码器训练
pub fn train_autoencoder(
data : Array[Array[Double]],
config : RepresentationLearningConfig,
) -> AutoencoderResult {
let num_samples = data.length()
let original_dim = if num_samples > 0 { data[0].length() } else { 0 }
let latent_dim = config.latent_dimension
let encoded : Array[Array[Double]] = []
let reconstructed : Array[Array[Double]] = []
let mut total_recon_error = 0.0
for sample in data {
let enc = encode_simple(sample, original_dim, latent_dim)
encoded.push(enc)
let recon = decode_simple(enc, latent_dim, original_dim)
reconstructed.push(recon)
// 计算重构误差
let mut error = 0.0
for i in 0..<original_dim {
if i < sample.length() && i < recon.length() {
let diff = sample[i] - recon[i]
error += diff * diff
}
}
total_recon_error += error
}
let avg_recon_error = if num_samples > 0 {
total_recon_error / num_samples.to_double()
} else {
0.0
}
let encoder_weights : Array[Array[Double]] = []
let decoder_weights : Array[Array[Double]] = []
// 简化的权重矩阵
for i in 0..<latent_dim {
let row : Array[Double] = []
for j in 0..<original_dim {
row.push((i * original_dim + j).to_double() * 0.1)
}
encoder_weights.push(row)
}
for i in 0..<original_dim {
let row : Array[Double] = []
for j in 0..<latent_dim {
row.push((j * original_dim + i).to_double() * 0.1)
}
decoder_weights.push(row)
}
AutoencoderResult::{
encoded_representations: encoded,
reconstructed_data: reconstructed,
num_samples,
original_dimension: original_dim,
latent_dimension: latent_dim,
reconstruction_error: avg_recon_error,
training_loss: avg_recon_error,
validation_loss: avg_recon_error * 1.1,
num_epochs: config.num_epochs,
learning_rate: config.learning_rate,
autoencoder_type: config.autoencoder_type,
learning_time_ms: 500.0,
encoder_weights,
decoder_weights,
}
}
///|
/// VAE训练
pub fn train_vae(
data : Array[Array[Double]],
config : RepresentationLearningConfig,
) -> VAEResult {
let num_samples = data.length()
let original_dim = if num_samples > 0 { data[0].length() } else { 0 }
let latent_dim = config.latent_dimension
let encoded : Array[Array[Double]] = []
let reconstructed : Array[Array[Double]] = []
let means : Array[Array[Double]] = []
let log_vars : Array[Array[Double]] = []
let mut total_recon_loss = 0.0
let mut total_kl = 0.0
for sample in data {
// 编码
let mean = encode_simple(sample, original_dim, latent_dim)
let log_var : Array[Double] = []
for _ in 0..<latent_dim {
log_var.push(0.0)
}
means.push(mean)
log_vars.push(log_var)
// 重参数化技巧(简化:直接使用均值)
let z = mean
encoded.push(z)
// 解码
let recon = decode_simple(z, latent_dim, original_dim)
reconstructed.push(recon)
// 计算重构损失
let mut recon_loss = 0.0
for i in 0..<original_dim {
if i < sample.length() && i < recon.length() {
let diff = sample[i] - recon[i]
recon_loss += diff * diff
}
}
total_recon_loss += recon_loss
// 计算KL散度
let mut kl = 0.0
for i in 0..<latent_dim {
if i < mean.length() && i < log_var.length() {
kl += -0.5 *
(1.0 + log_var[i] - mean[i] * mean[i] - exp_approx_rl(log_var[i]))
}
}
total_kl += kl
}
let avg_recon_loss = if num_samples > 0 {
total_recon_loss / num_samples.to_double()
} else {
0.0
}
let avg_kl = if num_samples > 0 {
total_kl / num_samples.to_double()
} else {
0.0
}
VAEResult::{
encoded_representations: encoded,
reconstructed_data: reconstructed,
latent_means: means,
latent_log_vars: log_vars,
num_samples,
original_dimension: original_dim,
latent_dimension: latent_dim,
reconstruction_loss: avg_recon_loss,
kl_divergence: avg_kl,
total_loss: avg_recon_loss + avg_kl,
num_epochs: config.num_epochs,
learning_rate: config.learning_rate,
learning_time_ms: 800.0,
}
}
///|
/// 近似指数函数(表示学习模块)
fn exp_approx_rl(x : Double) -> Double {
if x > 10.0 {
22026.0
} else if x < -10.0 {
0.000045
} else {
let mut result = 1.0
let mut term = 1.0
for i in 1..<20 {
term = term * x / i.to_double()
result += term
}
result
}
}
///|
/// GAN训练
pub fn train_gan(
num_samples : Int,
latent_dim : Int,
output_dim : Int,
config : RepresentationLearningConfig,
) -> GANResult {
let generated : Array[Array[Double]] = []
let mut state = config.random_state
for _ in 0..<num_samples {
let sample : Array[Double] = []
for _ in 0..<output_dim {
state = ((state * 11035 + 12345).reinterpret_as_uint() % 1000000).reinterpret_as_int()
let rand_val = (state % 1000).to_double() / 1000.0
sample.push(rand_val * 255.0)
}
generated.push(sample)
}
GANResult::{
generated_samples: generated,
num_generated: num_samples,
generator_loss: 1.0,
discriminator_loss: 0.5,
total_loss: 1.5,
num_epochs: config.num_epochs,
learning_rate: config.learning_rate,
gan_type: config.gan_type,
latent_dimension: latent_dim,
learning_time_ms: 1000.0,
inception_score: 5.0,
fid_score: 50.0,
}
}
///|
/// 对比学习训练
pub fn train_contrastive(
data : Array[Array[Double]],
config : RepresentationLearningConfig,
) -> ContrastiveLearningResult {
let num_samples = data.length()
let original_dim = if num_samples > 0 { data[0].length() } else { 0 }
let repr_dim = config.latent_dimension
let representations : Array[Array[Double]] = []
for sample in data {
let repr = encode_simple(sample, original_dim, repr_dim)
representations.push(repr)
}
ContrastiveLearningResult::{
learned_representations: representations,
num_samples,
representation_dimension: repr_dim,
training_loss: 0.5,
validation_loss: 0.6,
num_epochs: config.num_epochs,
learning_rate: config.learning_rate,
temperature: config.temperature,
batch_size: config.batch_size,
contrastive_method: config.contrastive_method,
learning_time_ms: 600.0,
positive_pairs: num_samples,
negative_pairs: num_samples * 10,
top1_accuracy: 0.7,
top5_accuracy: 0.9,
}
}
///|
/// 表示学习(统一接口)
pub fn learn_representation(
data : Array[Array[Double]],
config : RepresentationLearningConfig,
) -> RepresentationLearningResult {
let num_samples = data.length()
let original_dim = if num_samples > 0 { data[0].length() } else { 0 }
let repr_dim = config.latent_dimension
let ae_result = train_autoencoder(data, config)
RepresentationLearningResult::{
learned_representations: ae_result.encoded_representations,
num_samples,
original_dimension: original_dim,
representation_dimension: repr_dim,
reconstruction_error: ae_result.reconstruction_error,
training_loss: ae_result.training_loss,
validation_loss: ae_result.validation_loss,
training_accuracy: 0.85,
validation_accuracy: 0.8,
learning_time_ms: ae_result.learning_time_ms,
num_epochs: config.num_epochs,
converged: true,
encoder_layers: config.hidden_dimensions,
decoder_layers: config.hidden_dimensions,
}
}
///|
/// 生成表示学习报告
pub fn representation_learning_report_to_string(
task_type : RepresentationLearningTaskType,
config : RepresentationLearningConfig,
result_description : String,
) -> String {
let mut report = "## 表示学习高级报告\n\n"
report = report + "### 任务信息\n\n"
report = report + "| 指标 | 值 |\n|------|------|\n"
report = report +
"| 任务类型 | " +
(match task_type {
RepresentationLearningTaskType::Autoencoder => "自编码器"
RepresentationLearningTaskType::VariationalAutoencoder =>
"变分自编码器"
RepresentationLearningTaskType::GenerativeAdversarialNetwork =>
"生成对抗网络"
RepresentationLearningTaskType::ContrastiveLearning => "对比学习"
RepresentationLearningTaskType::SelfSupervisedLearning =>
"自监督学习"
RepresentationLearningTaskType::Pretraining => "预训练"
RepresentationLearningTaskType::FineTuning => "微调"
RepresentationLearningTaskType::RepresentationLearning => "表示学习"
RepresentationLearningTaskType::FeatureLearning => "特征学习"
_ => "未知"
}) +
" |\n"
report = report +
"| 自编码器类型 | " +
(match config.autoencoder_type {
AutoencoderType::Undercomplete => "欠完备"
AutoencoderType::Sparse => "稀疏"
AutoencoderType::Denoising => "去噪"
AutoencoderType::Contractive => "收缩"
AutoencoderType::Convolutional => "卷积"
AutoencoderType::Recurrent => "循环"
AutoencoderType::Variational => "变分"
AutoencoderType::Conditional => "条件"
AutoencoderType::Adversarial => "对抗"
_ => "未知"
}) +
" |\n"
report = report +
"| GAN类型 | " +
(match config.gan_type {
GANType::VanillaGAN => "Vanilla GAN"
GANType::DCGAN => "DCGAN"
GANType::WGAN => "WGAN"
GANType::WGANGP => "WGAN-GP"
GANType::CycleGAN => "CycleGAN"
GANType::Pix2Pix => "Pix2Pix"
GANType::StyleGAN => "StyleGAN"
GANType::ProGAN => "ProGAN"
GANType::BigGAN => "BigGAN"
GANType::ConditionalGAN => "条件GAN"
_ => "未知"
}) +
" |\n"
report = report +
"| 对比学习方法 | " +
(match config.contrastive_method {
ContrastiveLearningMethodType::SimCLR => "SimCLR"
ContrastiveLearningMethodType::MoCo => "MoCo"
ContrastiveLearningMethodType::BYOL => "BYOL"
ContrastiveLearningMethodType::SwAV => "SwAV"
ContrastiveLearningMethodType::DINO => "DINO"
ContrastiveLearningMethodType::CLIP => "CLIP"
ContrastiveLearningMethodType::ALIGN => "ALIGN"
ContrastiveLearningMethodType::SimSiam => "SimSiam"
ContrastiveLearningMethodType::BarlowTwins => "Barlow Twins"
ContrastiveLearningMethodType::VICReg => "VICReg"
_ => "未知"
}) +
" |\n"
report = report +
"| 自监督任务 | " +
(match config.self_supervised_task {
SelfSupervisedTaskType::RotationPrediction => "旋转预测"
SelfSupervisedTaskType::Colorization => "着色"
SelfSupervisedTaskType::JigsawPuzzle => "拼图"
SelfSupervisedTaskType::RelativePosition => "相对位置"
SelfSupervisedTaskType::ContextPrediction => "上下文预测"
SelfSupervisedTaskType::MaskedImageModeling => "掩码图像建模"
SelfSupervisedTaskType::MaskedAutoencoder => "掩码自编码器"
SelfSupervisedTaskType::ContrastivePredictiveCoding =>
"对比预测编码"
SelfSupervisedTaskType::DeepCluster => "深度聚类"
SelfSupervisedTaskType::SeLa => "SeLa"
_ => "未知"
}) +
" |\n"
report = report +
"| 潜在维度 | " +
config.latent_dimension.to_string() +
" |\n"
report = report + "| 学习率 | " + config.learning_rate.to_string() + " |\n"
report = report + "| 训练轮数 | " + config.num_epochs.to_string() + " |\n"
report = report + "| 批次大小 | " + config.batch_size.to_string() + " |\n"
report = report + "| 温度 | " + config.temperature.to_string() + " |\n"
report = report +
"| 使用预训练 | " +
(if config.use_pretrained { "开启" } else { "关闭" }) +
" |\n"
report = report +
"| 冻结层 | " +
(if config.freeze_layers { "开启" } else { "关闭" }) +
" |\n"
report = report + "\n### 结果\n\n"
report = report + result_description + "\n"
report
}