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+ """auto_learner.py — Auto-aprendizado: ajuste dinâmico de LR e controle de gradiente.
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+
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+ Implementa as seções 9-10 de dados.txt:
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+
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+ 9. AJUSTE DINÂMICO DAS TAXAS DE APRENDIZADO:
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+ fator_G = exp(-κ * ||grad_G||) * (1 + v_media) / 2
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+ novo_eta_G = eta_G * fator_G
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+
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+ fator_V = exp(-κ * ||grad_V||) * (1 + L_V_media)^{-1}
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+ novo_eta_V = eta_V * fator_V
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+
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+ 10. CONTROLE DE EXPLOSÃO DE GRADIENTE E ESPECTRAL NORM:
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+ - clip_grad_norm_(params, GRAD_CLIP)
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+ - Spectral normalization (power iteration) para Conv1D e Linear
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+ """
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+ from __future__ import annotations
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+
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+ import logging
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+ import math
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+ from dataclasses import dataclass
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+ from typing import Dict, List, Optional, Tuple
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+
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+ import torch
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+ import torch.nn as nn
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+
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+ logger = logging.getLogger(__name__)
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+
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+
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+ @dataclass
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+ class AutoLearnConfig:
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+ """Configuração do auto-aprendizado."""
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+ kappa_curv: float = 0.01 # κ — fator de ajuste de η com norma do gradiente
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+ grad_clip: float = 1.0 # τ — clipping de gradiente (norma L2)
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+ spectral_radius: float = 1.0 # limite para norma espectral
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+ lr_min: float = 1e-6 # LR mínimo
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+ lr_max: float = 1e-2 # LR máximo
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+ initial_lr_G: float = 1e-3 # LR inicial do gerador
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+ initial_lr_V: float = 1e-3 # LR inicial do verificador
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+ use_spectral_norm: bool = True
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+ apply_after_step: bool = True
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+
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+
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+ class AutoLearner:
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+ """Controla ajuste dinâmico de LR, clipping e spectral norm.
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+
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+ Não é um nn.Module — é um controlador que atua sobre modelos externos.
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+ """
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+
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+ def __init__(self, config: AutoLearnConfig):
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+ self.cfg = config
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+ self.current_lr_G = config.initial_lr_G
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+ self.current_lr_V = config.initial_lr_V
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+ self.history: List[Dict] = []
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+
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+ def compute_total_grad_norm(self, model: nn.Module) -> float:
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+ """Calcula a norma L2 total dos gradientes do modelo."""
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+ total = 0.0
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+ for p in model.parameters():
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+ if p.grad is not None:
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+ total += p.grad.data.norm(2).item() ** 2
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+ return math.sqrt(total)
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+
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+ def update_learning_rates(
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+ self,
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+ grad_G_norm: float,
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+ grad_V_norm: float,
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+ v_mean: float,
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+ L_V_mean: float,
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+ ) -> Tuple[float, float]:
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+ """Atualiza dinamicamente as taxas de aprendizado.
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+
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+ Args:
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+ grad_G_norm: norma L2 do gradiente do gerador
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+ grad_V_norm: norma L2 do gradiente do verificador
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+ v_mean: média das probabilidades do verificador
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+ L_V_mean: perda média do verificador
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+
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+ Returns:
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+ (novo_eta_G, novo_eta_V)
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+ """
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+ # Fator do gerador: exp(-κ * ||grad||) * (1 + v_media) / 2
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+ fator_G = math.exp(-self.cfg.kappa_curv * grad_G_norm) * ((1.0 + v_mean) / 2.0)
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+ novo_eta_G = self.current_lr_G * fator_G
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+
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+ # Fator do verificador: exp(-κ * ||grad||) * (1 + L_V)^{-1}
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+ # Evita divisão por zero
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+ fator_V = math.exp(-self.cfg.kappa_curv * grad_V_norm) / max(1.0 + L_V_mean, 1e-6)
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+ novo_eta_V = self.current_lr_V * fator_V
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+
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+ # Clamp para evitar valores absurdos
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+ novo_eta_G = max(self.cfg.lr_min, min(self.cfg.lr_max, novo_eta_G))
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+ novo_eta_V = max(self.cfg.lr_min, min(self.cfg.lr_max, novo_eta_V))
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+
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+ self.current_lr_G = novo_eta_G
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+ self.current_lr_V = novo_eta_V
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+
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+ self.history.append({
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+ "lr_G": novo_eta_G,
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+ "lr_V": novo_eta_V,
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+ "grad_G_norm": grad_G_norm,
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+ "grad_V_norm": grad_V_norm,
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+ "v_mean": v_mean,
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+ "L_V_mean": L_V_mean,
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+ })
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+
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+ return novo_eta_G, novo_eta_V
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+
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+ def apply_clipping(self, *models: nn.Module) -> None:
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+ """Aplica gradient clipping global nos modelos."""
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+ for model in models:
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+ if model is not None:
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+ torch.nn.utils.clip_grad_norm_(model.parameters(), self.cfg.grad_clip)
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+
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+ def apply_spectral_norm(self, model: nn.Module) -> int:
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+ """Aplica normalização espectral via power iteration em Conv1d/Linear.
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+
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+ Após cada step, força ||W||_2 <= spectral_radius.
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+ """
119
+ if not self.cfg.use_spectral_norm:
120
+ return 0
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+ n_normalized = 0
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+ for module in model.modules():
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+ if isinstance(module, (nn.Linear, nn.Conv1d, nn.Conv2d)):
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+ if module.weight is not None and module.weight.dim() >= 2:
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+ try:
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+ with torch.no_grad():
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+ # Power iteration (1 iteração)
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+ W = module.weight
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+ # Reshape para 2D se necessário
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+ W_flat = W.reshape(W.size(0), -1)
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+ # u, v aleatórios (ou reutiliza se já existe)
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+ if not hasattr(module, "_spec_u"):
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+ u = torch.randn(W_flat.size(0), 1, device=W.device, dtype=W.dtype)
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+ u = u / u.norm()
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+ else:
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+ u = module._spec_u
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+ v = torch.matmul(W_flat.T, u)
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+ v = v / v.norm().clamp(min=1e-8)
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+ u = torch.matmul(W_flat, v)
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+ u = u / u.norm().clamp(min=1e-8)
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+ module._spec_u = u.detach()
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+ sigma = (u.T @ W_flat @ v).item()
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+ if sigma > self.cfg.spectral_radius:
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+ scale = self.cfg.spectral_radius / sigma
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+ module.weight.data.mul_(scale)
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+ n_normalized += 1
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+ except Exception as e:
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+ logger.debug("Spectral norm falhou em %s: %s", type(module).__name__, e)
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+ return n_normalized
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+
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+ def set_optimizer_lr(self, optimizer: torch.optim.Optimizer, lr: float) -> None:
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+ """Atualiza a taxa de aprendizado de um otimizador."""
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+ for pg in optimizer.param_groups:
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+ pg["lr"] = lr
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+
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+
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+ def orthogonal_init_model(model: nn.Module) -> int:
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+ """Aplica inicialização ortogonal em todas as camadas Linear/Conv/GRUCell."""
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+ n = 0
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+ for module in model.modules():
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+ if isinstance(module, (nn.Linear, nn.Conv1d, nn.Conv2d)):
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+ try:
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+ nn.init.orthogonal_(module.weight)
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+ if module.bias is not None:
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+ nn.init.zeros_(module.bias)
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+ n += 1
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+ except Exception:
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+ pass
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+ elif isinstance(module, (nn.GRUCell, nn.GRU, nn.LSTM)):
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+ for name, p in module.named_parameters():
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+ if "weight" in name and p.dim() >= 2:
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+ try:
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+ nn.init.orthogonal_(p)
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+ n += 1
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+ except Exception:
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+ pass
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+ elif "bias" in name:
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+ nn.init.zeros_(p)
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+ return n
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+
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+
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+ def estimate_curvature(
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+ model: nn.Module,
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+ loss_fn,
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+ *args,
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+ eps: float = 1e-3,
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+ n_samples: int = 5,
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+ ) -> torch.Tensor:
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+ """Estima curvatura da perda via diferenças finitas.
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+
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+ Para uma amostra de parâmetros, calcula:
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+ curv ≈ (L(θ + ε) - 2L(θ) + L(θ - ε)) / ε²
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+
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+ Retorna a média das estimativas.
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+ """
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+ curvatures = []
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+ params = [p for p in model.parameters() if p.requires_grad and p.dim() >= 2]
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+ if not params:
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+ return torch.tensor(0.0)
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+
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+ # Subamostra
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+ n_samples = min(n_samples, len(params))
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+ indices = torch.randperm(len(params))[:n_samples]
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+
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+ for idx in indices:
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+ p = params[idx]
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+ # Pega um elemento aleatório
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+ flat = p.data.view(-1)
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+ if flat.numel() == 0:
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+ continue
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+ i = torch.randint(0, flat.numel(), (1,)).item()
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+ orig = flat[i].item()
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+
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+ with torch.no_grad():
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+ # L(θ)
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+ try:
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+ loss_0 = loss_fn(*args)
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+ if isinstance(loss_0, dict):
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+ loss_0 = loss_0["total"]
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+ loss_0 = float(loss_0)
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+ except Exception:
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+ continue
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+
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+ # L(θ + ε)
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+ flat[i] = orig + eps
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+ try:
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+ loss_p = loss_fn(*args)
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+ if isinstance(loss_p, dict):
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+ loss_p = loss_p["total"]
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+ loss_p = float(loss_p)
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+ except Exception:
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+ flat[i] = orig
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+ continue
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+
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+ # L(θ - ε)
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+ flat[i] = orig - eps
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+ try:
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+ loss_m = loss_fn(*args)
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+ if isinstance(loss_m, dict):
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+ loss_m = loss_m["total"]
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+ loss_m = float(loss_m)
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+ except Exception:
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+ flat[i] = orig
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+ continue
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+
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+ flat[i] = orig
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+ curv = (loss_p - 2 * loss_0 + loss_m) / (eps ** 2)
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+ curvatures.append(curv)
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+
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+ if not curvatures:
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+ return torch.tensor(0.0)
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+
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+ return torch.tensor(sum(curvatures) / len(curvatures))
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+
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+
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+ __all__ = [
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+ "AutoLearnConfig",
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+ "AutoLearner",
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+ "orthogonal_init_model",
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+ "estimate_curvature",
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+ ]