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kakeya_codec.py
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419 lines (361 loc) · 15.5 KB
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#!/usr/bin/env python3
"""
KakeyaCodec — Kakeya-like Set Compression for AMS v3.12
=========================================================
Transparent compression layer for MemEntry's 768-dim semantic_emb field.
Wraps MemLLM without modifying AgentMemorySystem.py.
v3.12 adaptation:
- Only semantic_emb remains as 768-dim field (content_wte_centroid removed)
- Single skeleton for semantic_emb compression
- Compatible with v3.12's forward_maxsim retrieval scoring
Construction:
1. Global PCA: R^768 → R^d_eff (retain 99% variance)
2. Temporal direction separation: coeff → (α scalar, perp vector)
3. Spherical K-means on perp directions → K segment centers (Kakeya skeleton)
4. Each memory encoded as (seg_id, α, t, sparse_residual)
5. Decode: reconstruct approximate 768-dim vector on demand
"""
import torch
import torch.nn.functional as F
import math
from typing import Dict, List, Optional, Tuple
from dataclasses import dataclass, field
@dataclass
class CompressedVec:
"""Compressed representation of a single 768-dim vector."""
seg_id: int
alpha: float
t: float
residual_vals: torch.Tensor
residual_idx: torch.Tensor
@dataclass
class KakeyaSkeleton:
"""The Kakeya-like skeleton: basis + temporal direction + segment centers."""
basis: torch.Tensor # [d_eff, d_LLM]
mean: torch.Tensor # [d_LLM]
t_dir: torch.Tensor # [d_eff]
centers: torch.Tensor # [K, d_eff]
d_eff: int
K: int
d_res: int
class KakeyaCodec:
"""
Kakeya-like set compression codec for 768-dim semantic_emb vectors.
"""
def __init__(self, d_LLM: int = 768, variance_ratio: float = 0.99,
K: int = 16, d_res: int = 5, min_entries_to_build: int = 8):
self.d_LLM = d_LLM
self.variance_ratio = variance_ratio
self.K = K
self.d_res = d_res
self.min_entries = min_entries_to_build
self.sem_skeleton: Optional[KakeyaSkeleton] = None
self.sem_compressed: Dict[int, CompressedVec] = {}
self._is_active = False
self._stats = {
'total_encoded': 0,
'total_decoded': 0,
'skeleton_builds': 0,
}
@property
def is_active(self) -> bool:
return self._is_active
def _compute_pca(self, vecs: torch.Tensor) -> Tuple[torch.Tensor, torch.Tensor, int]:
mu = vecs.mean(0)
centered = vecs - mu.unsqueeze(0)
U, S, Vh = torch.linalg.svd(centered, full_matrices=False)
cumvar = S.pow(2).cumsum(0) / S.pow(2).sum()
d_eff_arr = (cumvar >= self.variance_ratio).nonzero(as_tuple=True)[0]
d_eff = (d_eff_arr[0].item() + 1) if len(d_eff_arr) > 0 else len(S)
d_eff = max(d_eff, 2)
basis = Vh[:d_eff]
return basis, mu, d_eff
def _spherical_kmeans(self, dirs: torch.Tensor, K: int,
max_iter: int = 100) -> Tuple[torch.Tensor, torch.Tensor]:
N, d = dirs.shape
K = min(K, N)
if K <= 1:
return dirs[:1].clone(), torch.zeros(N, dtype=torch.long, device=dirs.device)
centers = [dirs[0].clone()]
for _ in range(K - 1):
sims = torch.stack([dirs @ c for c in centers], dim=1)
max_sim = sims.max(dim=1)[0]
farthest = max_sim.argmin()
centers.append(dirs[farthest].clone())
centers = torch.stack(centers)
assignments = torch.zeros(N, dtype=torch.long, device=dirs.device)
for _ in range(max_iter):
sims = dirs @ centers.T
new_assign = sims.argmax(dim=1)
if (new_assign == assignments).all():
break
assignments = new_assign
for k in range(K):
mask = assignments == k
if mask.any():
centers[k] = F.normalize(dirs[mask].mean(0), dim=0, eps=1e-8)
else:
far = (dirs @ centers.T).max(1)[0].argmin()
centers[k] = dirs[far].clone()
assignments[far] = k
return centers, assignments
def _build_skeleton(self, vecs: torch.Tensor) -> KakeyaSkeleton:
basis, mu, d_eff = self._compute_pca(vecs)
coeffs = (vecs - mu.unsqueeze(0)) @ basis.T
mu_coeff = coeffs.mean(0)
mu_norm = mu_coeff.norm()
if mu_norm > 1e-8:
t_dir = mu_coeff / mu_norm
else:
t_dir = torch.zeros(d_eff, device=vecs.device)
t_dir[0] = 1.0
alpha = coeffs @ t_dir
perp = coeffs - alpha.unsqueeze(-1) * t_dir.unsqueeze(0)
perp_norms = perp.norm(dim=-1)
valid_mask = perp_norms > 1e-8
if valid_mask.sum() >= 2:
perp_dirs = F.normalize(perp[valid_mask], dim=-1)
K_actual = min(self.K, perp_dirs.shape[0])
centers, _ = self._spherical_kmeans(perp_dirs, K_actual)
else:
centers = F.normalize(torch.randn(1, d_eff, device=vecs.device), dim=-1)
K_actual = 1
return KakeyaSkeleton(
basis=basis, mean=mu, t_dir=t_dir,
centers=centers, d_eff=d_eff, K=K_actual, d_res=self.d_res)
def build(self, store: dict):
sem_vecs = []
mids_sem = []
for mid, entry in store.items():
if entry.semantic_emb is not None:
sem_vecs.append(entry.semantic_emb)
mids_sem.append(mid)
if len(sem_vecs) >= self.min_entries:
sem_mat = torch.stack(sem_vecs)
self.sem_skeleton = self._build_skeleton(sem_mat)
self.sem_compressed.clear()
for i, mid in enumerate(mids_sem):
self.sem_compressed[mid] = self._encode_vec(
sem_vecs[i], self.sem_skeleton)
self._is_active = self.sem_skeleton is not None
self._stats['skeleton_builds'] += 1
def _encode_vec(self, vec: torch.Tensor, skel: KakeyaSkeleton) -> CompressedVec:
coeff = (vec - skel.mean) @ skel.basis.T
alpha = (coeff @ skel.t_dir).item()
perp = coeff - alpha * skel.t_dir
perp_norm = perp.norm()
if perp_norm > 1e-8:
perp_dir = perp / perp_norm
sims = skel.centers @ perp_dir
seg_id = sims.argmax().item()
else:
seg_id = 0
t = (perp @ skel.centers[seg_id]).item()
residual = perp - t * skel.centers[seg_id]
d_res = min(skel.d_res, skel.d_eff)
if d_res < skel.d_eff:
_, top_idx = residual.abs().topk(d_res)
r_vals = residual[top_idx]
else:
top_idx = torch.arange(skel.d_eff, device=vec.device)
r_vals = residual
self._stats['total_encoded'] += 1
return CompressedVec(
seg_id=seg_id, alpha=alpha, t=t,
residual_vals=r_vals.detach().cpu(),
residual_idx=top_idx.detach().cpu())
def _decode_vec(self, comp: CompressedVec, skel: KakeyaSkeleton,
device: torch.device) -> torch.Tensor:
residual = torch.zeros(skel.d_eff, device=device)
idx = comp.residual_idx.to(device)
vals = comp.residual_vals.to(device)
residual[idx] = vals
perp_approx = comp.t * skel.centers[comp.seg_id].to(device) + residual
coeff_approx = comp.alpha * skel.t_dir.to(device) + perp_approx
vec_approx = coeff_approx @ skel.basis.to(device) + skel.mean.to(device)
self._stats['total_decoded'] += 1
return vec_approx
def encode_entry(self, mid: int, semantic_emb: Optional[torch.Tensor]):
if self.sem_skeleton is not None and semantic_emb is not None:
self.sem_compressed[mid] = self._encode_vec(semantic_emb, self.sem_skeleton)
def decode_sem(self, mid: int, device: torch.device) -> Optional[torch.Tensor]:
if mid in self.sem_compressed and self.sem_skeleton is not None:
return self._decode_vec(self.sem_compressed[mid], self.sem_skeleton, device)
return None
def remove_entry(self, mid: int):
self.sem_compressed.pop(mid, None)
def get_stats(self) -> dict:
sem_entries = len(self.sem_compressed)
original_bytes = 0
compressed_bytes = 0
if self.sem_skeleton is not None:
sk = self.sem_skeleton
original_bytes += sem_entries * self.d_LLM * 4
basis_bytes = sk.d_eff * self.d_LLM * 4
mean_bytes = self.d_LLM * 4
tdir_bytes = sk.d_eff * 4
centers_bytes = sk.K * sk.d_eff * 4
per_entry = 4 + 4 + 4 + sk.d_res * 4 + sk.d_res * 4
compressed_bytes += basis_bytes + mean_bytes + tdir_bytes + centers_bytes
compressed_bytes += sem_entries * per_entry
return {
'is_active': self._is_active,
'sem_entries': sem_entries,
'sem_d_eff': self.sem_skeleton.d_eff if self.sem_skeleton else 0,
'sem_K': self.sem_skeleton.K if self.sem_skeleton else 0,
'original_bytes': original_bytes,
'compressed_bytes': compressed_bytes,
'compression_ratio': original_bytes / max(compressed_bytes, 1),
'skeleton_builds': self._stats['skeleton_builds'],
'total_encoded': self._stats['total_encoded'],
'total_decoded': self._stats['total_decoded'],
}
def save(self, path: str):
torch.save({
'sem_skeleton': self.sem_skeleton,
'sem_compressed': self.sem_compressed,
'config': {
'd_LLM': self.d_LLM, 'variance_ratio': self.variance_ratio,
'K': self.K, 'd_res': self.d_res, 'min_entries': self.min_entries,
},
'stats': self._stats,
}, path)
def load(self, path: str):
data = torch.load(path, weights_only=False)
self.sem_skeleton = data['sem_skeleton']
self.sem_compressed = data['sem_compressed']
cfg = data['config']
self.d_LLM = cfg['d_LLM']
self.variance_ratio = cfg['variance_ratio']
self.K = cfg['K']
self.d_res = cfg['d_res']
self.min_entries = cfg['min_entries']
self._stats = data.get('stats', self._stats)
self._is_active = self.sem_skeleton is not None
class KakeyaMemLLM:
"""
Wrapper around MemLLM that transparently applies Kakeya compression
on semantic_emb. Exposes identical public interface to MemLLM.
v3.12 compatible: only compresses semantic_emb (no content_wte_centroid).
"""
def __init__(self, mem_llm, codec: Optional[KakeyaCodec] = None,
auto_build_threshold: int = 8):
self._m = mem_llm
self._codec = codec or KakeyaCodec()
self._auto_threshold = auto_build_threshold
def __getattr__(self, name):
if name.startswith('_'):
raise AttributeError(name)
return getattr(self._m, name)
@property
def codec(self) -> KakeyaCodec:
return self._codec
def _maybe_build_codec(self):
store = self._m.amm.tree.store
if len(store) >= self._auto_threshold:
self._codec.build(store)
if self._codec.is_active:
self._compress_all()
def _compress_all(self):
store = self._m.amm.tree.store
for mid, entry in store.items():
if entry.semantic_emb is not None and mid not in self._codec.sem_compressed:
self._codec.encode_entry(mid, entry.semantic_emb)
def _decompress_entry(self, entry):
dev = next(self._m.parameters()).device
mid = entry.mid
if entry.semantic_emb is None and mid in self._codec.sem_compressed:
entry.semantic_emb = self._codec.decode_sem(mid, dev)
def _decompress_all(self):
for mid, entry in self._m.amm.tree.store.items():
self._decompress_entry(entry)
def _release_originals(self):
if not self._codec.is_active:
return
for mid, entry in self._m.amm.tree.store.items():
if mid in self._codec.sem_compressed:
entry.semantic_emb = None
# ─── MemLLM Public Interface ─────────────────────────────────
def load(self, name="gpt2"):
self._m.load(name)
def write(self, text, training_mode=False):
if self._codec.is_active:
self._decompress_all()
result = self._m.write(text, training_mode=training_mode)
if len(self._m.amm.tree.store) >= self._auto_threshold:
if not self._codec.is_active:
self._maybe_build_codec()
else:
for mid, entry in self._m.amm.tree.store.items():
if entry.semantic_emb is not None and mid not in self._codec.sem_compressed:
self._codec.encode_entry(mid, entry.semantic_emb)
self._release_originals()
return result
def generate(self, prompt, mt=50, greedy=False):
if self._codec.is_active:
self._decompress_all()
try:
return self._m.generate(prompt, mt=mt, greedy=greedy)
finally:
if self._codec.is_active:
self._release_originals()
def fwd(self, ids, mask, prefix=None):
return self._m.fwd(ids, mask, prefix)
def extract_state(self, hs, mask=None, pl=0):
return self._m.extract_state(hs, mask, pl)
def _get_prefix(self, *args, **kwargs):
if self._codec.is_active:
self._decompress_all()
try:
return self._m._get_prefix(*args, **kwargs)
finally:
if self._codec.is_active:
self._release_originals()
def _compute_vocab_bias(self, fiber_summary):
return self._m._compute_vocab_bias(fiber_summary)
def _build_content_bias(self, *args, **kwargs):
return self._m._build_content_bias(*args, **kwargs)
def _compute_content_semantic_emb(self, *args, **kwargs):
return self._m._compute_content_semantic_emb(*args, **kwargs)
def _compute_content_wte_mean(self, *args, **kwargs):
return self._m._compute_content_wte_mean(*args, **kwargs)
def _expand_content_ids(self, *args, **kwargs):
return self._m._expand_content_ids(*args, **kwargs)
def _refresh_all_memories(self):
if self._codec.is_active:
self._decompress_all()
result = self._m._refresh_all_memories()
if self._codec.is_active:
self._codec.sem_compressed.clear()
self._codec.sem_skeleton = None
self._codec._is_active = False
self._maybe_build_codec()
return result
def save_memory(self, path):
if self._codec.is_active:
self._decompress_all()
self._m.save_memory(path)
if self._codec.is_active:
self._release_originals()
codec_path = path + '.kakeya'
self._codec.save(codec_path)
def load_memory(self, path):
self._m.load_memory(path)
codec_path = path + '.kakeya'
import os
if os.path.exists(codec_path):
self._codec.load(codec_path)
elif len(self._m.amm.tree.store) >= self._auto_threshold:
self._maybe_build_codec()
def train(self, mode=True):
return self._m.train(mode)
def eval(self):
return self._m.eval()
def zero_grad(self):
return self._m.zero_grad()
def parameters(self, recurse=True):
return self._m.parameters(recurse)
def named_parameters(self, prefix='', recurse=True):
return self._m.named_parameters(prefix, recurse)
def state_dict(self, *args, **kwargs):
return self._m.state_dict(*args, **kwargs)