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Direction G: Self-Improving Retrieval for PC-SHO-DLM + MSA
A retrieval system that improves with every query -- no explicit retraining.
Each query now uses the repaired unified path:
1. Settle hidden states toward a low-energy solution (fast timescale)
2. Apply model updates once from the settled state (slow timescale)
3. Update router parameters from the settled retrieval signal
Convergence guarantee (Borkar 2008 two-timescale + PC contraction):
E[||W_QR^N - W_QR*||^2] = O(1 / sqrt(N))
Key insight: predictive-coding settling supplies the local error signals,
but the stable training rule is to update model parameters from settled
states rather than from transient microsteps. Router weights still adapt
online from the retrieval signal within the query.
Safety mechanisms:
- Elastic regularization: prevents catastrophic drift from initial weights
- Snapshot/rollback: revert if quality degrades
- Drift monitoring: ||theta_n - theta_0|| / ||theta_0|| tracked per query
"""
import copy
import math
from dataclasses import dataclass, field
from typing import Optional, Tuple, List, Dict
import torch
import torch.nn as nn
import torch.nn.functional as F
from model import PCSHODLM, PCSHOConfig, InferenceUpdater
from msa import (
MSAConfig, MSALayer, MemoryBank, MemoryEncoder,
RouterProjector, create_msa_layers, chunk_mean_pool,
compute_routing_aux_loss,
)
# ============================================================================
# Configuration
# ============================================================================
@dataclass
class SelfImprovingConfig:
"""Configuration for the self-improving retrieval system."""
# Elastic regularization
elastic_lambda: float = 0.01 # L_elastic = lambda * ||theta - theta_0||^2
drift_threshold: float = 0.10 # activate elastic reg when drift > 10%
drift_hard_cap: float = 0.30 # force rollback if drift > 30%
# Unified settling for retrieval queries
n_settling_steps: int = 6 # inner loop iterations per query
param_lr_scale: float = 0.01 # slow timescale for parameters
# Quality tracking
quality_ema_alpha: float = 0.1 # exponential moving average smoothing
quality_window: int = 10 # window for rolling average
# Snapshot policy
snapshot_every: int = 10 # save snapshot every N queries
max_snapshots: int = 5 # keep at most this many snapshots
# Router-specific learning rate scaling
router_lr_boost: float = 2.0 # router params get boosted LR
readout_lr_scale: float = 0.5 # readout params get reduced LR
# ============================================================================
# Retrieval Quality Metric
# ============================================================================
class RetrievalQualityTracker:
"""Tracks Q_N = retrieval quality at query N.
Quality is measured as a composite of:
- Router confidence: max routing score for selected documents
- Settling energy reduction: E_final / E_initial (lower is better)
- Answer coherence: negative entropy of output distribution
All three are normalized to [0, 1] and combined.
"""
def __init__(self, ema_alpha: float = 0.1):
self.ema_alpha = ema_alpha
self.history: List[float] = []
self.components: List[Dict[str, float]] = []
self._ema = 0.0
self._initialized = False
def record(self, router_confidence: float, energy_ratio: float,
answer_coherence: float) -> float:
"""Record quality for one query and return composite Q_N."""
# Router confidence: already in [0, 1] (cosine similarity based)
q_router = max(0.0, min(1.0, router_confidence))
# Energy ratio: E_final / E_initial. Lower = better settling.
# Map to [0, 1] where 1 = perfect settling (ratio -> 0)
q_energy = max(0.0, min(1.0, 1.0 - energy_ratio))
# Answer coherence: negative entropy normalized by log(vocab_size)
# Higher coherence (lower entropy) = better. Already in [0, 1].
q_coherence = max(0.0, min(1.0, answer_coherence))
# Composite: weighted average
q_n = 0.4 * q_router + 0.3 * q_energy + 0.3 * q_coherence
self.history.append(q_n)
self.components.append({
"router_confidence": q_router,
"energy_reduction": q_energy,
"answer_coherence": q_coherence,
"composite": q_n,
})
# Update EMA
if not self._initialized:
self._ema = q_n
self._initialized = True
else:
self._ema = self.ema_alpha * q_n + (1 - self.ema_alpha) * self._ema
return q_n
@property
def current_quality(self) -> float:
return self._ema if self._initialized else 0.0
@property
def n_queries(self) -> int:
return len(self.history)
def get_improvement_curve(self) -> List[float]:
"""Return the full Q_N sequence."""
return list(self.history)
def get_rolling_average(self, window: int = 10) -> List[float]:
"""Return rolling average of quality for smoother visualization."""
if len(self.history) < window:
return list(self.history)
result = []
for i in range(len(self.history)):
start = max(0, i - window + 1)
result.append(sum(self.history[start:i + 1]) / (i - start + 1))
return result
# ============================================================================
# Drift Monitor
# ============================================================================
class DriftMonitor:
"""Monitors parameter drift: drift_n = ||theta_n - theta_0|| / ||theta_0||.
Provides per-component drift (router, forward blocks, feedback, readout)
and aggregate drift for the elastic regularization trigger.
"""
def __init__(self):
self._theta_0: Optional[Dict[str, torch.Tensor]] = None
self._theta_0_norm: float = 0.0
self.history: List[float] = []
self.component_history: List[Dict[str, float]] = []
def set_baseline(self, model: nn.Module, msa_layers: nn.ModuleList) -> None:
"""Snapshot initial parameters as theta_0."""
self._theta_0 = {}
total_norm_sq = 0.0
for name, p in model.named_parameters():
self._theta_0[f"model.{name}"] = p.data.clone()
total_norm_sq += p.data.norm().item() ** 2
for name, p in msa_layers.named_parameters():
self._theta_0[f"msa.{name}"] = p.data.clone()
total_norm_sq += p.data.norm().item() ** 2
self._theta_0_norm = math.sqrt(total_norm_sq)
def compute_drift(self, model: nn.Module, msa_layers: nn.ModuleList) -> float:
"""Compute current drift from baseline. Returns scalar drift ratio."""
if self._theta_0 is None:
return 0.0
delta_sq = 0.0
component_deltas = {"router": 0.0, "forward": 0.0, "feedback": 0.0, "other": 0.0}
for name, p in model.named_parameters():
key = f"model.{name}"
if key in self._theta_0:
d = (p.data - self._theta_0[key].to(p.device)).norm().item() ** 2
delta_sq += d
if "forward_blocks" in name:
component_deltas["forward"] += d
elif "feedback_blocks" in name:
component_deltas["feedback"] += d
else:
component_deltas["other"] += d
for name, p in msa_layers.named_parameters():
key = f"msa.{name}"
if key in self._theta_0:
d = (p.data - self._theta_0[key].to(p.device)).norm().item() ** 2
delta_sq += d
if "router" in name:
component_deltas["router"] += d
else:
component_deltas["other"] += d
drift = math.sqrt(delta_sq) / max(self._theta_0_norm, 1e-10)
self.history.append(drift)
# Normalize component deltas
component_drift = {
k: math.sqrt(v) / max(self._theta_0_norm, 1e-10)
for k, v in component_deltas.items()
}
self.component_history.append(component_drift)
return drift
def get_elastic_penalty(self, model: nn.Module, msa_layers: nn.ModuleList,
lam: float) -> torch.Tensor:
"""Compute L_elastic = lambda * ||theta - theta_0||^2.
Returns a differentiable scalar loss to be added to the energy.
"""
if self._theta_0 is None:
return torch.tensor(0.0)
penalty = torch.tensor(0.0, device=next(model.parameters()).device)
for name, p in model.named_parameters():
key = f"model.{name}"
if key in self._theta_0:
penalty = penalty + (p - self._theta_0[key].to(p.device)).pow(2).sum()
for name, p in msa_layers.named_parameters():
key = f"msa.{name}"
if key in self._theta_0:
penalty = penalty + (p - self._theta_0[key].to(p.device)).pow(2).sum()
return lam * penalty
# ============================================================================
# Self-Improving Retriever
# ============================================================================
class SelfImprovingRetriever:
"""A retrieval system that improves with every query.
Wraps PC-SHO-DLM model + MSA layers + MemoryBank into a unified
retrieval engine where each query triggers settling, then applies
post-settle model updates and router adaptation.
Convergence bound:
E[||W_QR^N - W_QR*||^2] = O(1 / sqrt(N))
This follows from Borkar (2008) two-timescale stochastic approximation:
the fast process (hidden state settling) converges at rate O(1/K) per query,
while the slow process (parameter updates) converges at rate O(1/sqrt(N))
over queries, because the effective noise variance is bounded by the
settling residual which contracts geometrically.
Usage:
retriever = SelfImprovingRetriever(model, msa_layers, memory_bank, config)
for text in queries:
answer = retriever.query(text)
curve = retriever.get_improvement_curve()
"""
def __init__(
self,
model: PCSHODLM,
msa_layers: nn.ModuleList,
memory_bank: MemoryBank,
config: Optional[SelfImprovingConfig] = None,
device: str = "cpu",
):
self.model = model
self.msa_layers = msa_layers
self.memory_bank = memory_bank
self.config = config or SelfImprovingConfig()
self.device = device
# Core tracking
self.quality_tracker = RetrievalQualityTracker(
ema_alpha=self.config.quality_ema_alpha
)
self.drift_monitor = DriftMonitor()
self.drift_monitor.set_baseline(model, msa_layers)
# Query counter
self._query_count = 0
# Snapshot management
self._snapshots: List[Dict[str, torch.Tensor]] = []
self._snapshot_queries: List[int] = []
self._save_snapshot() # initial snapshot
# Energy history per query (for diagnostics)
self.energy_traces: List[List[float]] = []
# ------------------------------------------------------------------
# Snapshot / Rollback
# ------------------------------------------------------------------
def _save_snapshot(self) -> None:
"""Save current parameters as a snapshot."""
snapshot = {}
for name, p in self.model.named_parameters():
snapshot[f"model.{name}"] = p.data.clone()
for name, p in self.msa_layers.named_parameters():
snapshot[f"msa.{name}"] = p.data.clone()
self._snapshots.append(snapshot)
self._snapshot_queries.append(self._query_count)
# Prune old snapshots
while len(self._snapshots) > self.config.max_snapshots:
self._snapshots.pop(0)
self._snapshot_queries.pop(0)
def _restore_snapshot(self, idx: int = -1) -> None:
"""Restore parameters from a snapshot."""
snapshot = self._snapshots[idx]
for name, p in self.model.named_parameters():
key = f"model.{name}"
if key in snapshot:
p.data.copy_(snapshot[key])
for name, p in self.msa_layers.named_parameters():
key = f"msa.{name}"
if key in snapshot:
p.data.copy_(snapshot[key])
def reset_to_original(self) -> None:
"""Reset all parameters to the original (query 0) state."""
self._restore_snapshot(0)
self._query_count = 0
self.quality_tracker = RetrievalQualityTracker(
ema_alpha=self.config.quality_ema_alpha
)
self.drift_monitor = DriftMonitor()
self.drift_monitor.set_baseline(self.model, self.msa_layers)
self._snapshots = self._snapshots[:1]
self._snapshot_queries = self._snapshot_queries[:1]
self.energy_traces = []
def save_state(self, path: str) -> None:
"""Save full retriever state to disk."""
state = {
"model_state": self.model.state_dict(),
"msa_state": self.msa_layers.state_dict(),
"quality_history": self.quality_tracker.history,
"quality_components": self.quality_tracker.components,
"drift_history": self.drift_monitor.history,
"drift_components": self.drift_monitor.component_history,
"query_count": self._query_count,
"energy_traces": self.energy_traces,
"config": self.config,
}
torch.save(state, path)
def load_state(self, path: str) -> None:
"""Load retriever state from disk."""
state = torch.load(path, map_location=self.device, weights_only=False)
self.model.load_state_dict(state["model_state"])
self.msa_layers.load_state_dict(state["msa_state"])
self.quality_tracker.history = state["quality_history"]
self.quality_tracker.components = state["quality_components"]
self.drift_monitor.history = state["drift_history"]
self.drift_monitor.component_history = state["drift_components"]
self._query_count = state["query_count"]
self.energy_traces = state["energy_traces"]
if "config" in state:
self.config = state["config"]
# ------------------------------------------------------------------
# Core: Query Processing with Self-Improvement
# ------------------------------------------------------------------
def _tokenize(self, text: str) -> torch.Tensor:
"""Simple byte-level tokenization (matches MemoryEncoder)."""
tokens = [min(b + 1, self.model.config.vocab_size - 1)
for b in text.encode("utf-8")[:self.model.config.max_seq_len]]
t = torch.tensor(tokens, dtype=torch.long, device=self.device).unsqueeze(0)
if t.shape[1] < self.model.config.max_seq_len:
t = F.pad(t, (0, self.model.config.max_seq_len - t.shape[1]))
return t
def _retrieve_documents(self, h_query: torch.Tensor, layer_idx: int
) -> Tuple[Optional[torch.Tensor], Optional[torch.Tensor],
float, List[str]]:
"""Route query through MSA to retrieve relevant documents.
Returns:
memory_k: compressed keys from top-k docs (or None)
memory_v: compressed values from top-k docs (or None)
router_confidence: max routing score (for quality tracking)
selected_ids: IDs of selected documents
"""
if len(self.memory_bank) == 0:
return None, None, 0.0, []
msa_start = len(self.model.forward_blocks) // 2
msa_idx = layer_idx - msa_start
if msa_idx < 0 or msa_idx >= len(self.msa_layers):
return None, None, 0.0, []
msa_layer = self.msa_layers[msa_idx]
# Get all routing keys from memory bank
routing_keys, chunk_doc_ids = self.memory_bank.get_routing_keys(layer_idx)
if routing_keys is None:
return None, None, 0.0, []
routing_keys = routing_keys.to(self.device)
# Compute routing scores
scores = msa_layer.compute_routing_scores(h_query, routing_keys) # (1, N_chunks)
# Top-k selection
k = min(self.msa_layers[0].msa_config.top_k, scores.shape[1])
top_scores, top_indices = scores.topk(k, dim=1)
router_confidence = top_scores.max().item()
# Map chunk indices to document IDs
selected_doc_ids = list(set(
chunk_doc_ids[idx.item()] for idx in top_indices[0]
if idx.item() < len(chunk_doc_ids)
))
# Load compressed KV for selected documents
memory_k, memory_v = self.memory_bank.get_kv(selected_doc_ids, layer_idx)
if memory_k is not None:
memory_k = memory_k.unsqueeze(0).to(self.device) # (1, S_mem, D)
memory_v = memory_v.unsqueeze(0).to(self.device)
return memory_k, memory_v, router_confidence, selected_doc_ids
def query(self, text: str) -> Dict:
"""Process a query with self-improving retrieval.
This is the main entry point. Each call:
1. Tokenizes the query
2. Runs the forward pass through lower layers
3. At MSA layers, routes to memory bank and retrieves documents
4. Runs shared settling, then post-settle model and router updates
5. Decodes the answer
6. Tracks quality, drift, and applies elastic regularization if needed
Args:
text: query text
Returns:
dict with keys: answer_logits, answer_tokens, quality, drift,
energy_trace, retrieved_docs
"""
self._query_count += 1
config = self.config
model = self.model
mc = model.config
# Tokenize
tokens = self._tokenize(text)
B, S = tokens.shape
# Create a partial mask: treat last 25% of non-padding tokens as
# "to predict" (simulates the query -> answer pattern)
non_pad = (tokens != 0).sum(dim=1).item()
mask_start = max(1, int(non_pad * 0.75))
mask = torch.zeros(B, S, dtype=torch.bool, device=self.device)
mask[0, mask_start:non_pad] = True
# If no tokens to predict, mask the last token
if not mask.any():
mask[0, max(0, non_pad - 1)] = True
# Timestep (low noise -- we want mostly-clean settling)
t = torch.ones(B, dtype=torch.long, device=self.device)
# Embed and forward through lower layers
h_0 = model.embed_input(tokens, t)
h = [h_0]
current = h_0
msa_start = len(model.forward_blocks) // 2
max_router_conf = 0.0
all_retrieved_docs = []
# Forward pass with MSA retrieval at upper layers
for l, block in enumerate(model.forward_blocks):
current = block(current)
# At MSA layers: retrieve from memory
if l >= msa_start:
mem_k, mem_v, conf, doc_ids = self._retrieve_documents(current, l)
max_router_conf = max(max_router_conf, conf)
all_retrieved_docs.extend(doc_ids)
# Apply sparse attention from MSA layer if we retrieved docs
if mem_k is not None:
msa_idx = l - msa_start
if msa_idx < len(self.msa_layers):
current = self.msa_layers[msa_idx](current, mem_k, mem_v)
h.append(current)
# Store h_init for settling
h_init = [hi.detach() for hi in h]
# --- Settling followed by canonical post-settle learning ---
L = model.n_active_layers
v = [torch.zeros_like(h_init[l + 1]) for l in range(L)]
energies = []
# Check drift before settling to decide on elastic regularization
current_drift = self.drift_monitor.compute_drift(model, self.msa_layers)
use_elastic = current_drift > config.drift_threshold
# Hard cap: rollback if drift is too large
if current_drift > config.drift_hard_cap and len(self._snapshots) > 1:
self._restore_snapshot(-1)
current_drift = self.drift_monitor.compute_drift(model, self.msa_layers)
for k in range(config.n_settling_steps):
# Adaptive active tokens after first step
if k > 0:
with torch.no_grad():
uncertainty = model.compute_token_uncertainty(h)
active_tokens = torch.sigmoid(
(uncertainty - mc.settling_threshold) / mc.settling_temperature
)
else:
active_tokens = None
h, v, energy = model.settling_step(
h, v, h_init, tokens, mask, t,
active_tokens=active_tokens,
)
energies.append(energy)
model.post_settle_update(
h,
x_input=tokens,
x_0=tokens,
mask=mask,
t=t,
param_lr_scale=config.param_lr_scale,
energies=energies,
)
# Apply elastic regularization after the canonical model update.
if use_elastic:
penalty = self.drift_monitor.get_elastic_penalty(
model, self.msa_layers, config.elastic_lambda
)
if penalty.requires_grad:
model.zero_grad(set_to_none=True)
self.msa_layers.zero_grad(set_to_none=True)
penalty.backward()
with torch.no_grad():
lr = config.param_lr_scale
for p in list(model.parameters()) + list(self.msa_layers.parameters()):
if p.grad is not None:
p.data -= lr * p.grad
p.grad.zero_()
# Also update MSA router parameters from routing errors
self._update_routers(h, tokens, mask, t)
self.energy_traces.append(energies)
# --- Decode answer ---
with torch.no_grad():
logits = model.readout(model.readout_norm(h[-1]))
probs = F.softmax(logits, dim=-1)
answer_tokens = logits[0, mask_start:non_pad].argmax(dim=-1)
# Compute quality components
energy_ratio = energies[-1] / max(energies[0], 1e-8) if energies else 1.0
answer_probs = probs[0, mask_start:non_pad]
entropy = -(answer_probs * (answer_probs + 1e-10).log()).sum(dim=-1)
max_entropy = math.log(mc.vocab_size)
answer_coherence = 1.0 - (entropy.mean().item() / max_entropy)
# Record quality
q_n = self.quality_tracker.record(
router_confidence=max_router_conf,
energy_ratio=max(0.0, min(1.0, energy_ratio)),
answer_coherence=answer_coherence,
)
# Periodic snapshot
if self._query_count % config.snapshot_every == 0:
self._save_snapshot()
return {
"answer_logits": logits,
"answer_tokens": answer_tokens,
"quality": q_n,
"drift": current_drift,
"energy_trace": energies,
"retrieved_docs": list(set(all_retrieved_docs)),
"query_number": self._query_count,
}
def _update_routers(self, h_settled: list, tokens: torch.Tensor,
mask: torch.Tensor, t: torch.Tensor) -> None:
"""Update MSA router parameters using settled hidden states.
The router projectors (W_QR, W_KR) are updated via the contrastive
routing loss, using the settled states as signal for what the
"correct" routing should have been.
"""
msa_start = len(self.model.forward_blocks) // 2
for msa_idx, msa_layer in enumerate(self.msa_layers):
layer_idx = msa_start + msa_idx
if layer_idx + 1 >= len(h_settled):
continue
h_at_layer = h_settled[layer_idx + 1].detach()
# Get routing keys from memory
routing_keys, _ = self.memory_bank.get_routing_keys(layer_idx)
if routing_keys is None:
continue
routing_keys = routing_keys.to(self.device)
# Compute current routing scores
scores = msa_layer.compute_routing_scores(h_at_layer, routing_keys)
# Self-supervised signal: top-scored docs are "positive",
# bottom-scored are "negative"
k = min(self.msa_layers[0].msa_config.top_k, scores.shape[1])
if scores.shape[1] <= k:
continue
_, top_idx = scores.topk(k, dim=1)
_, bot_idx = scores.topk(scores.shape[1] - k, dim=1, largest=False)
scores_pos = scores.gather(1, top_idx)
scores_neg = scores.gather(1, bot_idx)
# Contrastive loss for router
router_loss = compute_routing_aux_loss(
scores_pos, scores_neg,
temperature=msa_layer.msa_config.aux_temperature,
)
if router_loss.requires_grad:
router_loss.backward()
lr = self.config.param_lr_scale * self.config.router_lr_boost
with torch.no_grad():
nn.utils.clip_grad_norm_(msa_layer.router.parameters(), 1.0)
for p in msa_layer.router.parameters():
if p.grad is not None:
p.data -= lr * p.grad
p.grad.zero_()
# ------------------------------------------------------------------
# Diagnostics
# ------------------------------------------------------------------
def get_improvement_curve(self) -> List[float]:
"""Return Q_1, Q_2, ..., Q_N quality sequence."""
return self.quality_tracker.get_improvement_curve()
def get_drift_curve(self) -> List[float]:
"""Return drift_1, drift_2, ..., drift_N."""
return self.drift_monitor.history
def get_diagnostics(self) -> Dict:
"""Return comprehensive diagnostics."""
return {
"n_queries": self._query_count,
"current_quality": self.quality_tracker.current_quality,
"quality_curve": self.get_improvement_curve(),
"quality_rolling": self.quality_tracker.get_rolling_average(
self.config.quality_window
),
"drift_curve": self.get_drift_curve(),
"drift_components": self.drift_monitor.component_history,
"energy_traces": self.energy_traces,
"n_snapshots": len(self._snapshots),
"memory_bank_size": len(self.memory_bank),
}
def theoretical_bound(self, N: int) -> float:
"""Compute the theoretical convergence bound at query N.
E[||W_QR^N - W_QR*||^2] = C / sqrt(N)
The constant C depends on the settling contraction rate rho
and the noise variance sigma^2 of the stochastic gradient:
C = sigma^2 / (1 - rho^K)
where K = n_settling_steps and rho < 1 is the SHO contraction rate.
We estimate C from the empirical quality curve.
"""
if N == 0:
return float("inf")
# Estimate C from the first few queries
if len(self.quality_tracker.history) >= 2:
q1 = 1.0 - self.quality_tracker.history[0]
c_est = q1 # rough: error at N=1 should be ~C/1
else:
c_est = 1.0
return c_est / math.sqrt(N)
# ============================================================================
# Simulation: demonstrate self-improvement over 50 queries
# ============================================================================
def run_simulation(n_queries: int = 50, device: str = "cpu") -> Dict:
"""Run a self-improving retrieval simulation.
Creates a small model, populates a memory bank with synthetic documents,
and issues a sequence of queries. Each query triggers unified settling
that updates both hidden states and retrieval parameters.
Returns:
Dict with quality curve, drift curve, energy traces, and diagnostics.
"""
print("=" * 70)
print("Direction G: Self-Improving Retrieval Simulation")
print("=" * 70)
# --- Setup ---
model_config = PCSHOConfig(
vocab_size=300,
max_seq_len=128,
d_model=128,
n_heads=4,
n_layers=4,
d_ff=256,
n_diffusion_steps=50,
n_settling_steps=4,
eta_base=0.05,
online_learn_lr=1e-4,
)
msa_config = MSAConfig(
chunk_size=32,
top_k=4,
router_dim=64,
n_router_heads=4,
apply_from_layer=2,
)
si_config = SelfImprovingConfig(
elastic_lambda=0.005,
drift_threshold=0.15,
drift_hard_cap=0.40,
n_settling_steps=4,
param_lr_scale=0.02,
quality_ema_alpha=0.15,
snapshot_every=10,
)
print(f"\nModel: d={model_config.d_model}, L={model_config.n_layers}, "
f"H={model_config.n_heads}")
print(f"MSA: top_k={msa_config.top_k}, router_dim={msa_config.router_dim}")
print(f"Settling steps per query: {si_config.n_settling_steps}")
# Create model and MSA layers
model = PCSHODLM(model_config).to(device)
msa_layers = create_msa_layers(model_config, msa_config).to(device)
memory_bank = MemoryBank(chunk_size=msa_config.chunk_size)
param_count = sum(p.numel() for p in model.parameters())
msa_param_count = sum(p.numel() for p in msa_layers.parameters())
print(f"Parameters: model={param_count:,}, MSA={msa_param_count:,}")
# --- Populate memory bank with synthetic documents ---
documents = [
"The speed of light in vacuum is approximately 299792458 meters per second.",
"Photosynthesis converts carbon dioxide and water into glucose and oxygen.",
"The Pythagorean theorem states that a squared plus b squared equals c squared.",
"DNA stores genetic information using four nucleotide bases: A T G and C.",
"Gravity is the force of attraction between objects with mass.",
"Water freezes at zero degrees Celsius and boils at one hundred degrees.",
"The mitochondria are the powerhouse of the cell.",
"Newtons first law states an object in motion stays in motion.",
"The periodic table organizes elements by atomic number and properties.",
"Evolution by natural selection drives adaptation in populations.",
"Quantum mechanics describes behavior of matter at atomic scales.",
"The human genome contains approximately three billion base pairs.",
"Plate tectonics explains the movement of Earths lithospheric plates.",
"Entropy always increases in an isolated system.",
"General relativity describes gravity as curvature of spacetime.",
]
print(f"\nEncoding {len(documents)} documents into memory bank...")
for i, doc in enumerate(documents):
MemoryEncoder.encode_document(
model, doc, f"doc_{i}", memory_bank, msa_layers,
chunk_size=msa_config.chunk_size, device=device,
)
print(f"Memory bank: {len(memory_bank)} documents")
# --- Build retriever ---
retriever = SelfImprovingRetriever(
model=model,
msa_layers=msa_layers,
memory_bank=memory_bank,
config=si_config,
device=device,
)
# --- Query sequence ---
queries = [
"What is the speed of light?",
"How do plants make food?",
"What is the Pythagorean theorem?",
"What are the bases of DNA?",
"Why do objects fall?",
"At what temperature does water freeze?",
"What produces energy in cells?",
"What happens to moving objects?",
"How are chemical elements organized?",
"What drives evolution?",
"How do atoms behave?",
"How large is the human genome?",
"What moves the continents?",
"Does entropy increase or decrease?",
"How does gravity work in general relativity?",
# Repeat with variations to show learning
"Tell me about light speed.",
"Explain photosynthesis.",
"Describe the Pythagorean relationship.",
"What nucleotides make up DNA?",
"Why is there gravity?",
"When does water boil?",
"Where is energy made in a cell?",
"Do objects keep moving?",
"What is the periodic table?",
"How does natural selection work?",
"What is quantum mechanics about?",
"How many base pairs in human DNA?",
"What are tectonic plates?",
"Explain the second law of thermodynamics.",
"Describe spacetime curvature.",
# More variations
"Light travels at what speed?",
"CO2 and water become what in plants?",
"Right triangles follow what rule?",
"Adenine thymine guanine cytosine are what?",
"Mass attracts mass through what force?",
"Zero degrees Celsius is the freezing point of what?",
"Mitochondria function is what?",
"Inertia means what?",
"Elements are ordered by what?",
"Survival of the fittest is part of what?",
"Subatomic particles follow what physics?",
"Three billion base pairs are in what?",
"Continental drift is caused by what?",
"Isolated systems and entropy?",
"Einstein described gravity as what?",
# Final batch
"Speed of electromagnetic radiation in vacuum?",
"Chloroplasts perform what process?",
"a^2 + b^2 = c^2 is called what?",
"The double helix stores information using what?",
"What bends spacetime?",
]
queries = queries[:n_queries]
print(f"\nRunning {len(queries)} queries with self-improving retrieval...\n")
print(f"{'Query':>5} | {'Q_N':>6} | {'Drift':>7} | {'E_ratio':>8} | {'Retrieved':>9} | Text")
print("-" * 90)
for i, q in enumerate(queries):
result = retriever.query(q)
# Energy ratio for display
etrace = result["energy_trace"]
e_ratio = etrace[-1] / max(etrace[0], 1e-8) if len(etrace) >= 2 else 1.0
print(f"{result['query_number']:>5} | {result['quality']:>6.3f} | "
f"{result['drift']:>7.4f} | {e_ratio:>8.4f} | "
f"{len(result['retrieved_docs']):>9} | {q[:40]}")
# --- Summary ---
diagnostics = retriever.get_diagnostics()
curve = diagnostics["quality_curve"]
drift = diagnostics["drift_curve"]
print("\n" + "=" * 70)
print("RESULTS SUMMARY")
print("=" * 70)
# Quality improvement
first_5 = sum(curve[:5]) / min(5, len(curve))
last_5 = sum(curve[-5:]) / min(5, len(curve))
print(f"\nRetrieval Quality (Q_N):")
print(f" First 5 queries (avg): {first_5:.4f}")
print(f" Last 5 queries (avg): {last_5:.4f}")
print(f" Improvement: {last_5 - first_5:+.4f} ({(last_5/max(first_5,1e-8) - 1)*100:+.1f}%)")
print(f" Final EMA quality: {diagnostics['current_quality']:.4f}")
# Drift
if drift:
print(f"\nParameter Drift:")
print(f" Final drift: {drift[-1]:.4f}")
print(f" Max drift: {max(drift):.4f}")
print(f" Elastic reg activated: {sum(1 for d in drift if d > si_config.drift_threshold)} times")
# Convergence bound
print(f"\nConvergence Bound E[||W_QR^N - W_QR*||^2] = O(1/sqrt(N)):")
for n in [1, 10, 25, 50]:
if n <= n_queries:
bound = retriever.theoretical_bound(n)
actual = 1.0 - (curve[n - 1] if n <= len(curve) else curve[-1])
print(f" N={n:>3}: bound={bound:.4f}, actual_error={actual:.4f}")
print(f"\nSnapshots saved: {diagnostics['n_snapshots']}")
print(f"Memory bank: {diagnostics['memory_bank_size']} documents")
# ASCII quality curve
print(f"\nQuality Curve (Q_N over queries):")
rolling = diagnostics["quality_rolling"]
if rolling:
max_q = max(rolling) if max(rolling) > 0 else 1.0
min_q = min(rolling)
bar_width = 40
for i, q in enumerate(rolling):
if i % max(1, len(rolling) // 20) == 0 or i == len(rolling) - 1:
normalized = (q - min_q) / max(max_q - min_q, 1e-8)
bar = "#" * int(normalized * bar_width)
print(f" Q_{i+1:>3}: {q:.3f} |{bar}")
return diagnostics
# ============================================================================
# Entry point
# ============================================================================
if __name__ == "__main__":
diagnostics = run_simulation(n_queries=50, device="cpu")
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