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import argparse
import random
from dataclasses import dataclass
from typing import Dict, Tuple, List
import yaml
import numpy as np
import torch
import torch.nn as nn
import torch.nn.functional as F
import matplotlib.pyplot as plt
# ============================================================
# Reproducibility
# ============================================================
def set_seed(seed: int = 42):
random.seed(seed)
np.random.seed(seed)
torch.manual_seed(seed)
# ============================================================
# Config
# ============================================================
@dataclass
class Config:
seed: int = 42
device: str = "cpu"
# data
input_dim: int = 2
output_dim: int = 1
overlap_std: float = 0.9
# regime centers
center_A: Tuple[float, float] = (2.5, 2.5)
center_B: Tuple[float, float] = (-2.5, -2.5)
center_C: Tuple[float, float] = (2.5, -2.5)
# model
hidden_dim: int = 64
num_experts: int = 3
gate_hidden_dim: int = 64
# routing softness
temperature: float = 0.60
# training
epochs: int = 220
lr: float = 2e-3
weight_decay: float = 1e-5
# phase-sequence setting
phase_batch_size: int = 64
phase_train_cycles: int = 40
phase_test_cycles: int = 12
transition_steps: int = 8
# hybrid delta
ema_decay: float = 0.80
err_baseline_momentum: float = 0.85
w_env: float = 1.0
w_err: float = 2.0
# loss weights
alpha_dogma: float = 0.04
beta_nomad: float = 0.05
gamma_diversity: float = 0.08
lambda_sep: float = 0.08
lambda_cons: float = 0.03
# output
save_dir: str = "outputs_transition"
# ============================================================
# YAML helpers
# ============================================================
def load_yaml_config(path: str) -> dict:
with open(path, "r", encoding="utf-8") as f:
data = yaml.safe_load(f)
return data if data is not None else {}
def build_config_from_yaml(yaml_dict: dict) -> Config:
runtime = yaml_dict.get("runtime", {})
training = yaml_dict.get("training", {})
model = yaml_dict.get("model", {})
data = yaml_dict.get("data", {})
loss = yaml_dict.get("loss", {})
delta = yaml_dict.get("delta", {})
device_value = runtime.get("device", "auto")
if device_value == "auto":
device_value = "cuda" if torch.cuda.is_available() else "cpu"
cfg = Config(
seed=runtime.get("seed", 42),
save_dir=runtime.get("save_dir", "outputs_transition"),
device=device_value,
epochs=training.get("epochs", 220),
lr=training.get("lr", 2e-3),
weight_decay=training.get("weight_decay", 1e-5),
hidden_dim=model.get("hidden_dim", 64),
num_experts=model.get("num_experts", 3),
gate_hidden_dim=model.get("gate_hidden_dim", 64),
temperature=model.get("temperature", 0.60),
overlap_std=data.get("overlap_std", 0.9),
phase_batch_size=data.get("phase_batch_size", 64),
phase_train_cycles=data.get("phase_train_cycles", 40),
phase_test_cycles=data.get("phase_test_cycles", 12),
transition_steps=data.get("transition_steps", 8),
alpha_dogma=loss.get("alpha_dogma", 0.04),
beta_nomad=loss.get("beta_nomad", 0.05),
gamma_diversity=loss.get("gamma_diversity", 0.08),
lambda_sep=loss.get("lambda_sep", 0.08),
lambda_cons=loss.get("lambda_cons", 0.03),
ema_decay=delta.get("ema_decay", 0.80),
err_baseline_momentum=delta.get("err_baseline_momentum", 0.85),
w_env=delta.get("w_env", 1.0),
w_err=delta.get("w_err", 2.0),
)
return cfg
# ============================================================
# Data generation
# ============================================================
REGIME_TO_ID = {"A": 0, "B": 1, "C": 2}
ID_TO_REGIME = {0: "A", 1: "B", 2: "C"}
REGIME_ORDER = ["A", "B", "C"]
def sample_regime_x(regime: str, n: int, std: float, device: str = "cpu") -> torch.Tensor:
noise = std * torch.randn(n, 2, device=device)
if regime == "A":
center = torch.tensor([2.5, 2.5], device=device)
elif regime == "B":
center = torch.tensor([-2.5, -2.5], device=device)
elif regime == "C":
center = torch.tensor([2.5, -2.5], device=device)
else:
raise ValueError(f"Unknown regime: {regime}")
return noise + center
def regime_function(x: torch.Tensor, regime: str) -> torch.Tensor:
x1 = x[:, 0]
x2 = x[:, 1]
if regime == "A":
y = x1 + x2
elif regime == "B":
y = x1 - x2
elif regime == "C":
y = -x1 + 0.5 * x2
else:
raise ValueError(f"Unknown regime: {regime}")
return y.unsqueeze(-1)
def generate_phase_sequence(cfg: Config, cycles: int, device: str = "cpu"):
"""
Creates a time-ordered sequence:
stable A -> transition A->B -> stable B -> transition B->C -> stable C -> transition C->A -> ...
Returns:
X, Y, R, phase_tags
"""
xs, ys, rs = [], [], []
phase_tags: List[str] = []
for _ in range(cycles):
for i in range(len(REGIME_ORDER)):
curr_r = REGIME_ORDER[i]
next_r = REGIME_ORDER[(i + 1) % len(REGIME_ORDER)]
# stable block
x_stable = sample_regime_x(curr_r, cfg.phase_batch_size, std=cfg.overlap_std, device=device)
y_stable = regime_function(x_stable, curr_r)
r_stable = torch.full((cfg.phase_batch_size,), REGIME_TO_ID[curr_r], dtype=torch.long, device=device)
xs.append(x_stable)
ys.append(y_stable)
rs.append(r_stable)
phase_tags.extend([f"stable_{curr_r}"] * cfg.phase_batch_size)
# transition block
for step in range(cfg.transition_steps):
alpha = (step + 1) / cfg.transition_steps
x_a = sample_regime_x(curr_r, cfg.phase_batch_size, std=cfg.overlap_std, device=device)
x_b = sample_regime_x(next_r, cfg.phase_batch_size, std=cfg.overlap_std, device=device)
x_mix = (1.0 - alpha) * x_a + alpha * x_b
y_a = regime_function(x_mix, curr_r)
y_b = regime_function(x_mix, next_r)
y_mix = (1.0 - alpha) * y_a + alpha * y_b
dominant = curr_r if alpha < 0.5 else next_r
r_mix = torch.full((cfg.phase_batch_size,), REGIME_TO_ID[dominant], dtype=torch.long, device=device)
xs.append(x_mix)
ys.append(y_mix)
rs.append(r_mix)
phase_tags.extend([f"transition_{curr_r}_to_{next_r}"] * cfg.phase_batch_size)
X = torch.cat(xs, dim=0)
Y = torch.cat(ys, dim=0)
R = torch.cat(rs, dim=0)
return X, Y, R, phase_tags
def iterate_sequence_minibatches(X: torch.Tensor, Y: torch.Tensor, R: torch.Tensor, batch_size: int):
"""
No shuffling. Preserves phase order.
"""
n = X.size(0)
for start in range(0, n, batch_size):
end = min(start + batch_size, n)
yield X[start:end], Y[start:end], R[start:end]
# ============================================================
# Models
# ============================================================
class MLPRegressor(nn.Module):
def __init__(self, input_dim: int, hidden_dim: int, output_dim: int):
super().__init__()
self.net = nn.Sequential(
nn.Linear(input_dim, hidden_dim),
nn.ReLU(),
nn.Linear(hidden_dim, hidden_dim),
nn.ReLU(),
nn.Linear(hidden_dim, output_dim),
)
def forward(self, x: torch.Tensor) -> torch.Tensor:
return self.net(x)
class Expert(nn.Module):
def __init__(self, input_dim: int, hidden_dim: int, output_dim: int):
super().__init__()
self.net = nn.Sequential(
nn.Linear(input_dim, hidden_dim),
nn.Tanh(),
nn.Linear(hidden_dim, hidden_dim),
nn.Tanh(),
nn.Linear(hidden_dim, output_dim),
)
def forward(self, x: torch.Tensor) -> torch.Tensor:
return self.net(x)
class GateNet(nn.Module):
def __init__(self, input_dim: int, gate_hidden_dim: int, num_experts: int):
super().__init__()
self.net = nn.Sequential(
nn.Linear(input_dim + 1, gate_hidden_dim), # x + delta_hybrid
nn.ReLU(),
nn.Linear(gate_hidden_dim, gate_hidden_dim),
nn.ReLU(),
nn.Linear(gate_hidden_dim, num_experts),
)
def forward(self, x: torch.Tensor, delta_hybrid: torch.Tensor, temperature: float):
gate_input = torch.cat([x, delta_hybrid], dim=-1)
logits = self.net(gate_input)
probs = F.softmax(logits / temperature, dim=-1)
return probs, logits
class NomadicMoE(nn.Module):
def __init__(self, input_dim: int, hidden_dim: int, output_dim: int, num_experts: int, gate_hidden_dim: int):
super().__init__()
self.num_experts = num_experts
self.experts = nn.ModuleList([
Expert(input_dim, hidden_dim, output_dim) for _ in range(num_experts)
])
self.gate = GateNet(input_dim, gate_hidden_dim, num_experts)
def forward(self, x: torch.Tensor, delta_hybrid: torch.Tensor, temperature: float):
gate_probs, gate_logits = self.gate(x, delta_hybrid, temperature)
expert_outputs = torch.stack([expert(x) for expert in self.experts], dim=1) # [B, E, 1]
y_hat = (gate_probs.unsqueeze(-1) * expert_outputs).sum(dim=1) # [B, 1]
return y_hat, gate_probs, gate_logits, expert_outputs
# ============================================================
# Hybrid Delta utilities
# ============================================================
class HybridDeltaTracker:
"""
Upgraded hybrid delta:
delta_env = input mean shift
delta_err = relu(err_ema - err_baseline)
raw_hybrid = w_env * delta_env + w_err * delta_err
delta_hybrid = tanh(raw_hybrid)
"""
def __init__(
self,
ema_decay: float = 0.8,
err_baseline_momentum: float = 0.85,
w_env: float = 1.0,
w_err: float = 2.0,
device: str = "cpu",
):
self.ema_decay = ema_decay
self.err_baseline_momentum = err_baseline_momentum
self.w_env = w_env
self.w_err = w_err
self.device = device
self.prev_x_mean = None
self.err_ema = None
self.err_baseline = None
self.delta_env_history = []
self.delta_err_history = []
self.delta_hybrid_raw_history = []
self.delta_hybrid_history = []
def reset(self):
self.prev_x_mean = None
self.err_ema = None
self.err_baseline = None
def compute(self, x: torch.Tensor, current_batch_mse: torch.Tensor):
x_mean = x.mean(dim=0, keepdim=True)
if self.prev_x_mean is None:
delta_env_scalar = torch.tensor(0.0, device=self.device)
else:
delta_env_scalar = torch.norm(x_mean - self.prev_x_mean, p=2)
batch_err = current_batch_mse.detach()
if self.err_ema is None:
self.err_ema = batch_err
self.err_baseline = batch_err
delta_err_scalar = torch.tensor(0.0, device=self.device)
else:
self.err_ema = self.ema_decay * self.err_ema + (1.0 - self.ema_decay) * batch_err
self.err_baseline = (
self.err_baseline_momentum * self.err_baseline
+ (1.0 - self.err_baseline_momentum) * self.err_ema
)
delta_err_scalar = torch.relu(self.err_ema - self.err_baseline)
raw_hybrid = self.w_env * delta_env_scalar + self.w_err * delta_err_scalar
delta_hybrid_scalar = torch.tanh(raw_hybrid)
self.prev_x_mean = x_mean.detach()
self.delta_env_history.append(float(delta_env_scalar.item()))
self.delta_err_history.append(float(delta_err_scalar.item()))
self.delta_hybrid_raw_history.append(float(raw_hybrid.item()))
self.delta_hybrid_history.append(float(delta_hybrid_scalar.item()))
delta_hybrid = torch.full((x.size(0), 1), float(delta_hybrid_scalar.item()), device=self.device)
return (
delta_hybrid,
float(delta_env_scalar.item()),
float(delta_err_scalar.item()),
float(delta_hybrid_scalar.item()),
)
# ============================================================
# Regularizers / metrics
# ============================================================
def compute_diversity_loss(expert_outputs: torch.Tensor) -> torch.Tensor:
num_experts = expert_outputs.size(1)
if num_experts < 2:
return torch.tensor(0.0, device=expert_outputs.device)
loss = 0.0
count = 0
for i in range(num_experts):
for j in range(i + 1, num_experts):
sim = F.cosine_similarity(
expert_outputs[:, i, :],
expert_outputs[:, j, :],
dim=-1
).mean()
loss = loss + sim
count += 1
return loss / count
def compute_dogma_penalty(gate_probs: torch.Tensor) -> torch.Tensor:
mean_usage = gate_probs.mean(dim=0)
concentration = torch.sum(mean_usage ** 2)
uniform_floor = 1.0 / gate_probs.size(1)
penalty = concentration - uniform_floor
return penalty
def compute_nomad_bonus(gate_probs: torch.Tensor) -> torch.Tensor:
eps = 1e-8
entropy = -(gate_probs * (gate_probs + eps).log()).sum(dim=-1).mean()
return entropy
def gate_entropy(gate_probs: torch.Tensor) -> torch.Tensor:
eps = 1e-8
return -(gate_probs * (gate_probs + eps).log()).sum(dim=-1)
def regimewise_usage(gate_probs: torch.Tensor, regime_ids: torch.Tensor, num_experts: int) -> Dict[str, np.ndarray]:
usage = {}
top1 = gate_probs.argmax(dim=-1)
for rid in range(3):
mask = regime_ids == rid
regime_name = ID_TO_REGIME[rid]
if mask.sum() == 0:
usage[regime_name] = np.zeros(num_experts, dtype=np.float32)
continue
counts = torch.bincount(top1[mask], minlength=num_experts).float()
counts = counts / counts.sum().clamp_min(1.0)
usage[regime_name] = counts.detach().cpu().numpy()
return usage
def compute_regime_gate_stats(
gate_probs: torch.Tensor,
regime_ids: torch.Tensor,
num_regimes: int = 3,
):
device = gate_probs.device
regime_means = {}
valid_means = []
valid_names = []
l_cons = torch.tensor(0.0, device=device)
valid_regime_count = 0
for rid in range(num_regimes):
mask = regime_ids == rid
regime_name = ID_TO_REGIME[rid]
if mask.sum() == 0:
continue
g_r = gate_probs[mask]
u_r = g_r.mean(dim=0)
regime_means[regime_name] = u_r
valid_means.append(u_r)
valid_names.append(regime_name)
l_cons = l_cons + ((g_r - u_r.unsqueeze(0)) ** 2).sum(dim=-1).mean()
valid_regime_count += 1
if valid_regime_count > 0:
l_cons = l_cons / valid_regime_count
if len(valid_means) < 2:
l_sep = torch.tensor(0.0, device=device)
mean_gate_distance = 0.0
pairwise_distances = {}
return regime_means, l_sep, l_cons, mean_gate_distance, pairwise_distances
pairwise = []
pairwise_distances = {}
for i in range(len(valid_means)):
for j in range(i + 1, len(valid_means)):
dist = torch.norm(valid_means[i] - valid_means[j], p=2)
pairwise.append(dist)
pairwise_distances[f"{valid_names[i]}-{valid_names[j]}"] = float(dist.detach().cpu().item())
pairwise_tensor = torch.stack(pairwise)
mean_gate_distance = float(pairwise_tensor.mean().detach().cpu().item())
l_sep = -pairwise_tensor.mean()
return regime_means, l_sep, l_cons, mean_gate_distance, pairwise_distances
def mse_by_regime(y_true: torch.Tensor, y_pred: torch.Tensor, regime_ids: torch.Tensor) -> Dict[str, float]:
result = {}
for rid in range(3):
mask = regime_ids == rid
regime_name = ID_TO_REGIME[rid]
if mask.sum() == 0:
result[regime_name] = float("nan")
else:
result[regime_name] = F.mse_loss(y_pred[mask], y_true[mask]).item()
return result
def infer_regime_to_expert(usage: Dict[str, np.ndarray]) -> Dict[str, int]:
mapping = {}
for regime in ["A", "B", "C"]:
mapping[regime] = int(np.argmax(usage[regime]))
return mapping
def compute_dwell_times(top1_sequence: np.ndarray) -> List[int]:
if len(top1_sequence) == 0:
return []
dwells = []
current = top1_sequence[0]
run_len = 1
for t in range(1, len(top1_sequence)):
if top1_sequence[t] == current:
run_len += 1
else:
dwells.append(run_len)
current = top1_sequence[t]
run_len = 1
dwells.append(run_len)
return dwells
def compute_switch_latency(regime_seq: List[str], top1_seq: np.ndarray, regime_to_expert: Dict[str, int]) -> List[int]:
latencies = []
prev_regime = regime_seq[0] if len(regime_seq) > 0 else None
for t in range(1, len(regime_seq)):
curr_regime = regime_seq[t]
if curr_regime != prev_regime:
target_expert = regime_to_expert.get(curr_regime, None)
if target_expert is None:
prev_regime = curr_regime
continue
latency = None
for k in range(t, len(top1_seq)):
if int(top1_seq[k]) == int(target_expert):
latency = k - t
break
if latency is not None:
latencies.append(latency)
prev_regime = curr_regime
return latencies
# ============================================================
# Training / Evaluation
# ============================================================
def evaluate_fixed(model: nn.Module, X: torch.Tensor, Y: torch.Tensor, R: torch.Tensor):
model.eval()
with torch.no_grad():
y_pred = model(X)
total_mse = F.mse_loss(y_pred, Y).item()
per_regime = mse_by_regime(Y, y_pred, R)
return total_mse, per_regime
def evaluate_nomadic_static_full(model: NomadicMoE, X: torch.Tensor, Y: torch.Tensor, R: torch.Tensor, cfg: Config):
"""
Static evaluation:
- delta_hybrid fixed to zero
- ignores sequential phase dynamics
Useful for checking static separability only.
"""
model.eval()
with torch.no_grad():
delta_hybrid = torch.zeros((X.size(0), 1), device=X.device)
y_pred, gate_probs, _, _ = model(X, delta_hybrid, cfg.temperature)
total_mse = F.mse_loss(y_pred, Y).item()
per_regime = mse_by_regime(Y, y_pred, R)
usage = regimewise_usage(gate_probs, R, cfg.num_experts)
_, _, _, mean_gate_distance, pairwise_distances = compute_regime_gate_stats(
gate_probs=gate_probs,
regime_ids=R,
num_regimes=3,
)
ent = gate_entropy(gate_probs).mean().item()
top1 = gate_probs.argmax(dim=-1).detach().cpu().numpy()
dwell_times = compute_dwell_times(top1)
return total_mse, per_regime, usage, mean_gate_distance, pairwise_distances, ent, dwell_times, y_pred, gate_probs
def evaluate_nomadic_sequence_dynamics(model: NomadicMoE, X: torch.Tensor, Y: torch.Tensor, R: torch.Tensor, phase_tags: List[str], cfg: Config):
"""
Sequential evaluation with live hybrid delta.
Measures:
- phase-level entropy
- switch latency
- dwell times
- stepwise expert trajectory
"""
model.eval()
tracker = HybridDeltaTracker(
ema_decay=cfg.ema_decay,
err_baseline_momentum=cfg.err_baseline_momentum,
w_env=cfg.w_env,
w_err=cfg.w_err,
device=cfg.device,
)
tracker.reset()
all_y = []
all_gate_probs = []
batch_regimes = []
batch_phase_tags = []
batch_entropies = []
batch_top1 = []
with torch.no_grad():
for batch_idx, (xb, yb, rb) in enumerate(iterate_sequence_minibatches(X, Y, R, cfg.phase_batch_size)):
zero_delta = torch.zeros((xb.size(0), 1), device=cfg.device)
warm_y, _, _, _ = model(xb, zero_delta, cfg.temperature)
warm_mse = F.mse_loss(warm_y, yb)
delta_hybrid, _, _, _ = tracker.compute(xb, warm_mse)
y_hat, gate_probs, _, _ = model(xb, delta_hybrid, cfg.temperature)
all_y.append(y_hat)
all_gate_probs.append(gate_probs)
dominant_regime = ID_TO_REGIME[int(rb[0].item())]
batch_regimes.append(dominant_regime)
phase_tag = phase_tags[batch_idx * cfg.phase_batch_size]
batch_phase_tags.append(phase_tag)
ent = gate_entropy(gate_probs).mean().item()
batch_entropies.append(ent)
top1 = gate_probs.argmax(dim=-1)
binc = torch.bincount(top1, minlength=cfg.num_experts).float()
batch_top1.append(int(torch.argmax(binc).item()))
Y_hat = torch.cat(all_y, dim=0)
G = torch.cat(all_gate_probs, dim=0)
total_mse = F.mse_loss(Y_hat, Y).item()
usage = regimewise_usage(G, R, cfg.num_experts)
regime_to_expert = infer_regime_to_expert(usage)
latencies = compute_switch_latency(batch_regimes, np.array(batch_top1), regime_to_expert)
dwell_times = compute_dwell_times(np.array(batch_top1))
stable_entropy = []
transition_entropy = []
for tag, ent in zip(batch_phase_tags, batch_entropies):
if tag.startswith("stable_"):
stable_entropy.append(ent)
elif tag.startswith("transition_"):
transition_entropy.append(ent)
dynamics = {
"batch_regimes": batch_regimes,
"batch_phase_tags": batch_phase_tags,
"batch_entropies": batch_entropies,
"batch_top1": batch_top1,
"switch_latencies": latencies,
"dwell_times": dwell_times,
"mean_switch_latency": float(np.mean(latencies)) if len(latencies) > 0 else float("nan"),
"mean_dwell_time": float(np.mean(dwell_times)) if len(dwell_times) > 0 else float("nan"),
"stable_entropy_mean": float(np.mean(stable_entropy)) if len(stable_entropy) > 0 else float("nan"),
"transition_entropy_mean": float(np.mean(transition_entropy)) if len(transition_entropy) > 0 else float("nan"),
"regime_to_expert": regime_to_expert,
}
return total_mse, usage, dynamics, Y_hat, G
def train_fixed(cfg: Config, X_train, Y_train, R_train, X_test, Y_test, R_test):
model = MLPRegressor(cfg.input_dim, cfg.hidden_dim, cfg.output_dim).to(cfg.device)
optimizer = torch.optim.Adam(model.parameters(), lr=cfg.lr, weight_decay=cfg.weight_decay)
train_losses = []
test_losses = []
for epoch in range(cfg.epochs):
model.train()
epoch_loss = 0.0
n_batches = 0
for xb, yb, _ in iterate_sequence_minibatches(X_train, Y_train, R_train, cfg.phase_batch_size):
optimizer.zero_grad()
y_hat = model(xb)
loss = F.mse_loss(y_hat, yb)
loss.backward()
optimizer.step()
epoch_loss += loss.item()
n_batches += 1
train_losses.append(epoch_loss / max(n_batches, 1))
test_mse, _ = evaluate_fixed(model, X_test, Y_test, R_test)
test_losses.append(test_mse)
if (epoch + 1) % 25 == 0 or epoch == 0:
print(f"[Fixed] Epoch {epoch+1:03d}/{cfg.epochs} | Train MSE: {train_losses[-1]:.4f} | Test MSE: {test_mse:.4f}")
return model, {"train_losses": train_losses, "test_losses": test_losses}
def train_nomadic(cfg: Config, X_train, Y_train, R_train, X_test, Y_test, R_test, phase_tags_test):
model = NomadicMoE(
input_dim=cfg.input_dim,
hidden_dim=cfg.hidden_dim,
output_dim=cfg.output_dim,
num_experts=cfg.num_experts,
gate_hidden_dim=cfg.gate_hidden_dim,
).to(cfg.device)
optimizer = torch.optim.Adam(model.parameters(), lr=cfg.lr, weight_decay=cfg.weight_decay)
logs = {
"train_total_losses": [],
"train_mse_losses": [],
"train_dogma_losses": [],
"train_nomad_bonus": [],
"train_diversity_losses": [],
"train_sep_losses": [],
"train_cons_losses": [],
"train_mean_gate_distance": [],
"train_entropy": [],
"test_mse_static": [],
"test_mse_sequence": [],
"test_mean_gate_distance_static": [],
"delta_env": [],
"delta_err": [],
"delta_hybrid_raw": [],
"delta_hybrid": [],
"test_switch_latency": [],
"test_transition_entropy": [],
"test_stable_entropy": [],
}
for epoch in range(cfg.epochs):
model.train()
tracker = HybridDeltaTracker(
ema_decay=cfg.ema_decay,
err_baseline_momentum=cfg.err_baseline_momentum,
w_env=cfg.w_env,
w_err=cfg.w_err,
device=cfg.device,
)
tracker.reset()
epoch_total = 0.0
epoch_mse = 0.0
epoch_dogma = 0.0
epoch_nomad = 0.0
epoch_diversity = 0.0
epoch_sep = 0.0
epoch_cons = 0.0
epoch_entropy = 0.0
n_batches = 0
for xb, yb, rb in iterate_sequence_minibatches(X_train, Y_train, R_train, cfg.phase_batch_size):
optimizer.zero_grad()
with torch.no_grad():
zero_delta = torch.zeros((xb.size(0), 1), device=cfg.device)
warm_y, _, _, _ = model(xb, zero_delta, cfg.temperature)
warm_mse = F.mse_loss(warm_y, yb)
delta_hybrid, de, derr, dh = tracker.compute(xb, warm_mse)
y_hat, gate_probs, _, expert_outputs = model(xb, delta_hybrid, cfg.temperature)
mse_loss = F.mse_loss(y_hat, yb)
dogma_pen = compute_dogma_penalty(gate_probs)
nomad_bonus = compute_nomad_bonus(gate_probs)
diversity_loss = compute_diversity_loss(expert_outputs)
_, sep_loss, cons_loss, _, _ = compute_regime_gate_stats(
gate_probs=gate_probs,
regime_ids=rb,
num_regimes=3,
)
entropy_val = gate_entropy(gate_probs).mean()
total_loss = (
mse_loss
+ cfg.alpha_dogma * dogma_pen
- cfg.beta_nomad * nomad_bonus
+ cfg.gamma_diversity * diversity_loss
+ cfg.lambda_sep * sep_loss
+ cfg.lambda_cons * cons_loss
)
total_loss.backward()
optimizer.step()
epoch_total += total_loss.item()
epoch_mse += mse_loss.item()
epoch_dogma += dogma_pen.item()
epoch_nomad += nomad_bonus.item()
epoch_diversity += diversity_loss.item()
epoch_sep += sep_loss.item()
epoch_cons += cons_loss.item()
epoch_entropy += entropy_val.item()
n_batches += 1
logs["delta_env"].append(de)
logs["delta_err"].append(derr)
logs["delta_hybrid"].append(dh)
logs["delta_hybrid_raw"].append(tracker.delta_hybrid_raw_history[-1])
logs["train_total_losses"].append(epoch_total / max(n_batches, 1))
logs["train_mse_losses"].append(epoch_mse / max(n_batches, 1))
logs["train_dogma_losses"].append(epoch_dogma / max(n_batches, 1))
logs["train_nomad_bonus"].append(epoch_nomad / max(n_batches, 1))
logs["train_diversity_losses"].append(epoch_diversity / max(n_batches, 1))
logs["train_sep_losses"].append(epoch_sep / max(n_batches, 1))
logs["train_cons_losses"].append(epoch_cons / max(n_batches, 1))
logs["train_entropy"].append(epoch_entropy / max(n_batches, 1))
_, _, _, train_gate_dist_full, _, _, _, _, _ = evaluate_nomadic_static_full(
model, X_train, Y_train, R_train, cfg
)
logs["train_mean_gate_distance"].append(train_gate_dist_full)
test_mse_static, _, _, test_gate_dist_static, _, _, _, _, _ = evaluate_nomadic_static_full(
model, X_test, Y_test, R_test, cfg
)
logs["test_mse_static"].append(test_mse_static)
logs["test_mean_gate_distance_static"].append(test_gate_dist_static)
test_mse_sequence, _, dynamics_eval, _, _ = evaluate_nomadic_sequence_dynamics(
model, X_test, Y_test, R_test, phase_tags_test, cfg
)
logs["test_mse_sequence"].append(test_mse_sequence)
logs["test_switch_latency"].append(dynamics_eval["mean_switch_latency"])
logs["test_transition_entropy"].append(dynamics_eval["transition_entropy_mean"])
logs["test_stable_entropy"].append(dynamics_eval["stable_entropy_mean"])
if (epoch + 1) % 25 == 0 or epoch == 0:
print(
f"[Nomadic] Epoch {epoch+1:03d}/{cfg.epochs} | "
f"Train Total: {logs['train_total_losses'][-1]:.4f} | "
f"Train MSE: {logs['train_mse_losses'][-1]:.4f} | "
f"Train GateDist(full): {logs['train_mean_gate_distance'][-1]:.4f} | "
f"Train Entropy: {logs['train_entropy'][-1]:.4f} | "
f"Test Static MSE: {test_mse_static:.4f} | "
f"Test Seq MSE: {test_mse_sequence:.4f} | "
f"Test Static GateDist: {test_gate_dist_static:.4f} | "
f"Switch Latency: {dynamics_eval['mean_switch_latency']:.4f}"
)
return model, logs
# ============================================================
# Plotting
# ============================================================
def ensure_dir(path: str):
os.makedirs(path, exist_ok=True)
def plot_dataset(X: torch.Tensor, R: torch.Tensor, save_path: str):
x = X.detach().cpu().numpy()
r = R.detach().cpu().numpy()
plt.figure(figsize=(7, 6))
for rid, name in ID_TO_REGIME.items():
mask = r == rid
plt.scatter(x[mask, 0], x[mask, 1], s=10, alpha=0.45, label=f"Regime {name}")
plt.title("Phase Dataset in Input Space")
plt.xlabel("x1")
plt.ylabel("x2")
plt.legend()
plt.tight_layout()
plt.savefig(save_path)
plt.close()
def plot_training_curves(fixed_logs: dict, nomadic_logs: dict, save_path: str):
epochs = np.arange(1, len(fixed_logs["train_losses"]) + 1)
plt.figure(figsize=(8, 5))
plt.plot(epochs, fixed_logs["test_losses"], label="Fixed Test MSE")
plt.plot(epochs, nomadic_logs["test_mse_static"], label="Nomadic Static Test MSE")
plt.plot(epochs, nomadic_logs["test_mse_sequence"], label="Nomadic Sequence Test MSE")
plt.xlabel("Epoch")
plt.ylabel("MSE")
plt.title("Fixed vs Nomadic Test MSE (Static vs Sequence)")
plt.legend()
plt.tight_layout()
plt.savefig(save_path)
plt.close()
def plot_nomadic_losses(nomadic_logs: dict, save_path: str):
epochs = np.arange(1, len(nomadic_logs["train_total_losses"]) + 1)
plt.figure(figsize=(8, 5))
plt.plot(epochs, nomadic_logs["train_mse_losses"], label="MSE")
plt.plot(epochs, nomadic_logs["train_dogma_losses"], label="Dogma")
plt.plot(epochs, nomadic_logs["train_nomad_bonus"], label="Nomad Bonus")
plt.plot(epochs, nomadic_logs["train_diversity_losses"], label="Diversity")
plt.plot(epochs, nomadic_logs["train_sep_losses"], label="Regime Sep")
plt.plot(epochs, nomadic_logs["train_cons_losses"], label="Regime Cons")
plt.xlabel("Epoch")
plt.ylabel("Value")
plt.title("Nomadic Loss Components")
plt.legend()
plt.tight_layout()
plt.savefig(save_path)
plt.close()
def plot_delta_trace(nomadic_logs: dict, save_path: str):
steps = np.arange(1, len(nomadic_logs["delta_env"]) + 1)
plt.figure(figsize=(8, 5))
plt.plot(steps, nomadic_logs["delta_env"], label="delta_env")
plt.plot(steps, nomadic_logs["delta_err"], label="delta_err")
plt.plot(steps, nomadic_logs["delta_hybrid_raw"], label="delta_hybrid_raw")
plt.plot(steps, nomadic_logs["delta_hybrid"], label="delta_hybrid_tanh")
plt.xlabel("Batch Step")
plt.ylabel("Magnitude")
plt.title("Hybrid Delta Trace")
plt.legend()
plt.tight_layout()
plt.savefig(save_path)
plt.close()
def plot_usage_bars(usage: Dict[str, np.ndarray], save_path: str, title: str):
regimes = ["A", "B", "C"]
num_experts = len(next(iter(usage.values())))
x = np.arange(len(regimes))
width = 0.22
plt.figure(figsize=(8, 5))
for e in range(num_experts):
vals = [usage[r][e] for r in regimes]
plt.bar(x + e * width - width, vals, width=width, label=f"Expert {e}")
plt.xticks(x, [f"Regime {r}" for r in regimes])
plt.ylabel("Top-1 Selection Ratio")
plt.title(title)
plt.legend()
plt.tight_layout()
plt.savefig(save_path)
plt.close()
def plot_gate_heatmap(usage: Dict[str, np.ndarray], save_path: str):
regimes = ["A", "B", "C"]
mat = np.stack([usage[r] for r in regimes], axis=0)
plt.figure(figsize=(6, 4))
plt.imshow(mat, aspect="auto")
plt.colorbar(label="Top-1 Selection Ratio")
plt.yticks(range(len(regimes)), [f"Regime {r}" for r in regimes])
plt.xticks(range(mat.shape[1]), [f"Expert {i}" for i in range(mat.shape[1])])
plt.title("Regime-Expert Usage Heatmap")
plt.tight_layout()
plt.savefig(save_path)
plt.close()
def plot_gate_distance_curve(nomadic_logs: dict, save_path: str):
epochs = np.arange(1, len(nomadic_logs["train_mean_gate_distance"]) + 1)
plt.figure(figsize=(8, 5))
plt.plot(epochs, nomadic_logs["train_mean_gate_distance"], label="Train Mean Gate Distance (full)")
plt.plot(epochs, nomadic_logs["test_mean_gate_distance_static"], label="Test Mean Gate Distance (static)")
plt.xlabel("Epoch")
plt.ylabel("Distance")
plt.title("Regime Mean Gate Distance")
plt.legend()
plt.tight_layout()
plt.savefig(save_path)
plt.close()
def plot_phase_entropy(dynamics: dict, save_path: str):
ent = np.array(dynamics["batch_entropies"])
x = np.arange(len(ent))
plt.figure(figsize=(10, 4))
plt.plot(x, ent, label="Batch Gate Entropy")
plt.xlabel("Batch Index")
plt.ylabel("Entropy")
plt.title("Gate Entropy across Phase Sequence")
plt.legend()
plt.tight_layout()
plt.savefig(save_path)
plt.close()
def plot_expert_trajectory(dynamics: dict, save_path: str):
top1 = np.array(dynamics["batch_top1"])
x = np.arange(len(top1))
plt.figure(figsize=(10, 4))
plt.plot(x, top1)
plt.xlabel("Batch Index")
plt.ylabel("Dominant Expert")
plt.title("Dominant Expert Trajectory across Phase Sequence")
plt.tight_layout()
plt.savefig(save_path)
plt.close()
def plot_dwell_histogram(dwell_times: List[int], save_path: str):
plt.figure(figsize=(7, 5))
bins = min(20, max(5, len(set(dwell_times)) if len(dwell_times) > 0 else 5))
plt.hist(dwell_times, bins=bins)
plt.xlabel("Dwell Time")
plt.ylabel("Count")
plt.title("Dwell Time Distribution")
plt.tight_layout()
plt.savefig(save_path)
plt.close()
def plot_switch_latency_histogram(latencies: List[int], save_path: str):
plt.figure(figsize=(7, 5))
if len(latencies) > 0:
bins = min(15, max(3, len(set(latencies))))
plt.hist(latencies, bins=bins)
plt.xlabel("Switch Latency")
plt.ylabel("Count")
plt.title("Switch Latency Distribution")
plt.tight_layout()
plt.savefig(save_path)
plt.close()
def plot_entropy_comparison(nomadic_logs: dict, save_path: str):
epochs = np.arange(1, len(nomadic_logs["test_transition_entropy"]) + 1)
plt.figure(figsize=(8, 5))
plt.plot(epochs, nomadic_logs["test_stable_entropy"], label="Stable Entropy")
plt.plot(epochs, nomadic_logs["test_transition_entropy"], label="Transition Entropy")
plt.xlabel("Epoch")
plt.ylabel("Entropy")
plt.title("Stable vs Transition Gate Entropy")
plt.legend()
plt.tight_layout()
plt.savefig(save_path)
plt.close()
def plot_switch_latency_curve(nomadic_logs: dict, save_path: str):
epochs = np.arange(1, len(nomadic_logs["test_switch_latency"]) + 1)
plt.figure(figsize=(8, 5))
plt.plot(epochs, nomadic_logs["test_switch_latency"], label="Mean Switch Latency")
plt.xlabel("Epoch")
plt.ylabel("Latency")
plt.title("Epoch-wise Mean Switch Latency")
plt.legend()
plt.tight_layout()
plt.savefig(save_path)
plt.close()
def plot_regime_expert_alignment(dynamics: dict, save_path: str):
regime_map = {"A": 0, "B": 1, "C": 2}
regime_vals = np.array([regime_map[r] for r in dynamics["batch_regimes"]])
expert_vals = np.array(dynamics["batch_top1"])
x = np.arange(len(regime_vals))
plt.figure(figsize=(10, 5))
plt.plot(x, regime_vals, label="Dominant Regime")
plt.plot(x, expert_vals, label="Dominant Expert")
plt.xlabel("Batch Index")
plt.ylabel("Index")
plt.title("Regime vs Expert Alignment across Phase Sequence")
plt.legend()
plt.tight_layout()
plt.savefig(save_path)
plt.close()
# ============================================================
# Reporting
# ============================================================
def print_report(
fixed_total_mse: float,
fixed_per_regime: Dict[str, float],
nomadic_static_total_mse: float,
nomadic_per_regime: Dict[str, float],
nomadic_usage: Dict[str, np.ndarray],
nomadic_mean_gate_distance: float,
nomadic_pairwise_gate_distances: Dict[str, float],
seq_total_mse: float,
dynamics: dict,
):
print("\n" + "=" * 72)
print("FINAL REPORT")
print("=" * 72)
print("\n[Fixed Model]")
print(f"Total Test MSE: {fixed_total_mse:.6f}")
for k, v in fixed_per_regime.items():
print(f" Regime {k} MSE: {v:.6f}")
print("\n[Nomadic Model | Static Eval]")
print(f"Static Total Test MSE: {nomadic_static_total_mse:.6f}")
for k, v in nomadic_per_regime.items():
print(f" Regime {k} MSE: {v:.6f}")
print("\n[Nomadic Model | Sequence Eval]")
print(f"Sequence Total Test MSE: {seq_total_mse:.6f}")
print("\n[Nomadic Regime-wise Expert Usage | Top-1 Ratio]")
for regime in ["A", "B", "C"]:
arr = nomadic_usage[regime]
arr_str = ", ".join([f"E{i}: {p:.3f}" for i, p in enumerate(arr)])
print(f" Regime {regime} -> {arr_str}")
print("\n[Nomadic Mean Gate Distance | Static Full]")
print(f"Mean pairwise gate-centroid distance: {nomadic_mean_gate_distance:.6f}")
if len(nomadic_pairwise_gate_distances) > 0:
print("[Pairwise Gate Distances]")
for k, v in nomadic_pairwise_gate_distances.items():
print(f" {k}: {v:.6f}")
print("\n[Transition Dynamics]")
print(f"Regime -> Expert mapping: {dynamics['regime_to_expert']}")
print(f"Mean switch latency: {dynamics['mean_switch_latency']:.4f}")
print(f"Mean dwell time: {dynamics['mean_dwell_time']:.4f}")
print(f"Stable-phase mean entropy: {dynamics['stable_entropy_mean']:.4f}")
print(f"Transition-phase mean entropy: {dynamics['transition_entropy_mean']:.4f}")
print("\nInterpretation hint:")
print("- Sequence Test MSE is the main performance metric in phase-transition settings.")
print("- Static Test MSE is only a reference check, not the main success criterion.")
print("- Transition entropy > stable entropy suggests gate uncertainty rises during phase shifts.")
print("- Shorter switch latency suggests faster nomadic response.")
print("- Moderate dwell time suggests neither rigid fixation nor chaotic wandering.")
print("=" * 72 + "\n")
# ============================================================
# Main
# ============================================================
def main():
parser = argparse.ArgumentParser()
parser.add_argument("--config", type=str, default="config.yaml")
parser.add_argument("--save_dir", type=str, default=None)
parser.add_argument("--device", type=str, default=None, choices=["cpu", "cuda", "auto"])
parser.add_argument("--seed", type=int, default=None)
args = parser.parse_args()
yaml_cfg = load_yaml_config(args.config)
cfg = build_config_from_yaml(yaml_cfg)
if args.save_dir is not None:
cfg.save_dir = args.save_dir
if args.seed is not None:
cfg.seed = args.seed
if args.device is not None:
cfg.device = "cuda" if (args.device == "auto" and torch.cuda.is_available()) else args.device
ensure_dir(cfg.save_dir)
set_seed(cfg.seed)
print(f"Using device: {cfg.device}")
print(f"Saving outputs to: {cfg.save_dir}")
print(f"Loaded config from: {args.config}")
X_train, Y_train, R_train, phase_tags_train = generate_phase_sequence(cfg, cfg.phase_train_cycles, cfg.device)
X_test, Y_test, R_test, phase_tags_test = generate_phase_sequence(cfg, cfg.phase_test_cycles, cfg.device)
plot_dataset(X_train, R_train, os.path.join(cfg.save_dir, "phase_dataset_input_space.png"))
fixed_model, fixed_logs = train_fixed(cfg, X_train, Y_train, R_train, X_test, Y_test, R_test)
nomadic_model, nomadic_logs = train_nomadic(
cfg, X_train, Y_train, R_train, X_test, Y_test, R_test, phase_tags_test
)
fixed_total_mse, fixed_per_regime = evaluate_fixed(fixed_model, X_test, Y_test, R_test)
(
nomadic_static_total_mse,
nomadic_per_regime,
nomadic_usage,
nomadic_mean_gate_distance,
nomadic_pairwise_gate_distances,
_,
_,
_,
_,
) = evaluate_nomadic_static_full(
nomadic_model, X_test, Y_test, R_test, cfg
)
seq_total_mse, seq_usage, dynamics, _, _ = evaluate_nomadic_sequence_dynamics(
nomadic_model, X_test, Y_test, R_test, phase_tags_test, cfg
)
plot_training_curves(
fixed_logs,
nomadic_logs,
os.path.join(cfg.save_dir, "fixed_vs_nomadic_test_mse.png"),
)
plot_nomadic_losses(
nomadic_logs,
os.path.join(cfg.save_dir, "nomadic_loss_components.png"),
)
plot_delta_trace(
nomadic_logs,
os.path.join(cfg.save_dir, "hybrid_delta_trace.png"),
)
plot_usage_bars(
nomadic_usage,
os.path.join(cfg.save_dir, "regime_expert_usage_bars.png"),
"Regime-wise Expert Usage (Top-1)",
)
plot_gate_heatmap(
nomadic_usage,
os.path.join(cfg.save_dir, "regime_expert_usage_heatmap.png"),
)
plot_gate_distance_curve(
nomadic_logs,
os.path.join(cfg.save_dir, "regime_mean_gate_distance.png"),
)
plot_phase_entropy(
dynamics,
os.path.join(cfg.save_dir, "phase_gate_entropy.png"),
)
plot_expert_trajectory(
dynamics,
os.path.join(cfg.save_dir, "expert_trajectory.png"),
)
plot_dwell_histogram(
dynamics["dwell_times"],
os.path.join(cfg.save_dir, "dwell_time_histogram.png"),
)
plot_switch_latency_histogram(
dynamics["switch_latencies"],
os.path.join(cfg.save_dir, "switch_latency_histogram.png"),
)
plot_entropy_comparison(
nomadic_logs,
os.path.join(cfg.save_dir, "stable_vs_transition_entropy.png"),
)
plot_switch_latency_curve(
nomadic_logs,
os.path.join(cfg.save_dir, "switch_latency_curve.png"),
)
plot_regime_expert_alignment(
dynamics,
os.path.join(cfg.save_dir, "regime_expert_alignment.png"),
)
print_report(
fixed_total_mse,
fixed_per_regime,
nomadic_static_total_mse,
nomadic_per_regime,
nomadic_usage,
nomadic_mean_gate_distance,
nomadic_pairwise_gate_distances,
seq_total_mse,
dynamics,
)
print("Saved files:")
for fname in [
"phase_dataset_input_space.png",
"fixed_vs_nomadic_test_mse.png",
"nomadic_loss_components.png",
"hybrid_delta_trace.png",
"regime_expert_usage_bars.png",
"regime_expert_usage_heatmap.png",
"regime_mean_gate_distance.png",
"phase_gate_entropy.png",
"expert_trajectory.png",
"dwell_time_histogram.png",
"switch_latency_histogram.png",
"stable_vs_transition_entropy.png",
"switch_latency_curve.png",
"regime_expert_alignment.png",
]:
print(" -", os.path.join(cfg.save_dir, fname))
if __name__ == "__main__":
main() |