File size: 17,099 Bytes
9e551a1 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 | # Tensor Roll β Recursive CUDA-Q Model Quantizer
# Copyright (C) 2026 SnapKitty Collective
# SPDX-License-Identifier: AGPL-3.0-or-later
"""The recursive TensorRoll operator, per-partition metrics, searched
compression policy, and the explicit classical/quantum dispatch boundary.
Honesty contract (enforced here, not just documented):
* Classical execution on this machine is NumPy on CPU. Every classical
report carries backend="cpu-numpy", device="cpu".
* Quantum-candidate execution runs on the classical state-vector
simulator in ``qsim.py``. Every such report carries
backend="qsim-classical". Nothing here claims real QPU/GPU execution.
"""
from __future__ import annotations
import time
from dataclasses import dataclass, field
from typing import Callable, Dict, List, Optional
import numpy as np
from .util import fmt_bytes, rss_mb
DECISIONS = (
"PRESERVE",
"QUANTIZE",
"FACTORIZE",
"MERGED",
"ROUTED",
"RECONSTRUCTED",
"PRUNED",
"QUANTUM-ENCODED",
)
#: Max elements a block may have to be eligible for the quantum path
#: (amplitude encoding needs 2**n amplitudes; we cap at 2**6).
QUANTUM_ELIGIBLE_MAX = 256 # 8 qubits; honest near-term register size
CLASSICAL_BACKEND = "cpu-numpy"
QSIM_BACKEND = "qsim-classical"
# ---------------------------------------------------------------------------
# Metrics
# ---------------------------------------------------------------------------
def tensor_metrics(W: np.ndarray) -> Dict:
W = np.asarray(W)
flat = W.ravel().astype(np.float64)
m = {
"shape": list(W.shape),
"ndim": int(W.ndim),
"params": int(W.size),
"dtype": str(W.dtype),
"norm": float(np.linalg.norm(flat)),
"variance": float(flat.var()) if flat.size else 0.0,
}
if W.ndim == 2 and min(W.shape) > 1:
s = np.linalg.svd(W.astype(np.float64), compute_uv=False)
total = float((s ** 2).sum())
p = (s ** 2) / total if total > 0 else np.zeros_like(s)
p = p[p > 0]
m["rank"] = int(np.sum(s > max(W.shape) * np.finfo(float).eps * (s[0] if s.size else 0.0)))
m["entropy"] = float(-(p * np.log(p)).sum()) if p.size else 0.0
m["spectral"] = float((s[0] ** 2) / total) if total > 0 else 0.0
m["sing_vals"] = [float(x) for x in s[:8]]
else:
m["rank"] = int(1 if m["norm"] > 0 else 0)
m["entropy"] = 0.0
m["spectral"] = 1.0 if m["norm"] > 0 else 0.0
m["sing_vals"] = []
return m
def relative_error(A: np.ndarray, B: np.ndarray) -> float:
A = A.astype(np.float64)
denom = float(np.linalg.norm(A))
if denom == 0:
return 0.0 if float(np.linalg.norm(B)) == 0 else float("inf")
return float(np.linalg.norm(A - B) / denom)
def cosine_sim(A: np.ndarray, B: np.ndarray) -> float:
a = A.astype(np.float64).ravel()
b = B.astype(np.float64).ravel()
na, nb = float(np.linalg.norm(a)), float(np.linalg.norm(b))
if na == 0 or nb == 0:
return 1.0 if na == nb else 0.0
return float(np.dot(a, b) / (na * nb))
# ---------------------------------------------------------------------------
# Invocation reports β every kernel call, classical or quantum, reports these.
# ---------------------------------------------------------------------------
def new_report(
*,
backend: str,
device: str,
kernel: str,
tensor_dims,
precision: str,
exec_time_s: float,
memory_bytes: float,
recursion_depth: int,
shots=None,
measurement_stats=None,
reconstruction_error=None,
extra=None,
) -> Dict:
rep = {
"backend": backend,
"device": device,
"kernel": kernel,
"tensor_dims": [tuple(d) for d in tensor_dims],
"precision": precision,
"exec_time_s": float(exec_time_s),
"memory_bytes": float(memory_bytes),
"recursion_depth": int(recursion_depth),
"shots": shots,
"measurement_stats": measurement_stats,
"reconstruction_error": reconstruction_error,
}
if extra:
rep.update(extra)
return rep
def dispatch_matmul(A: np.ndarray, B: np.ndarray, *, depth: int = 0,
label: str = "gemm") -> tuple:
"""Classical GEMM baseline. Backend is honestly cpu-numpy."""
A = np.asarray(A)
B = np.asarray(B)
mem = float(A.nbytes + B.nbytes)
t0 = time.perf_counter()
C = A @ B
dt = time.perf_counter() - t0
mem += float(C.nbytes)
rep = new_report(
backend=CLASSICAL_BACKEND, device="cpu", kernel=label,
tensor_dims=[A.shape, B.shape, C.shape], precision=str(A.dtype),
exec_time_s=dt, memory_bytes=mem, recursion_depth=depth,
)
return C, rep
# ---------------------------------------------------------------------------
# Compression option evaluation (measured, not hard-coded)
# ---------------------------------------------------------------------------
def _svd_options(W: np.ndarray):
U, s, Vt = np.linalg.svd(W.astype(np.float64), full_matrices=False)
return U, s, Vt
def _vq_codebook(W: np.ndarray, k: int = 16, iters: int = 12,
seed: int = 0):
"""From-scratch k-means vector quantization of W's elements.
Returns (reconstructed_W, cost_params). Deterministic."""
flat = W.ravel().astype(np.float64)
rng = np.random.default_rng(seed)
cents = np.quantile(flat, np.linspace(0, 1, k)).astype(np.float64)
for _ in range(iters):
assign = np.abs(flat[:, None] - cents[None, :]).argmin(axis=1)
for j in range(k):
m = assign == j
if np.any(m):
cents[j] = flat[m].mean()
assign = np.abs(flat[:, None] - cents[None, :]).argmin(axis=1)
Wd = cents[assign].reshape(W.shape)
bits_per_idx = float(np.ceil(np.log2(k)))
cost = float(k + flat.size * bits_per_idx / 32.0)
return Wd, cost
def evaluate_options(name: str, W: np.ndarray, *, quantum_policy: str = "off",
qsim_encode=None, rank: int = 0) -> List[Dict]:
"""Measure candidate representations of W. Each option carries a real
(cost_params, retained_energy, reconstruction_error) triple computed
from actual transforms β the policy search below picks winners, so no
decision is hard-coded here. Decision classes searched: PRESERVE,
QUANTIZE (incl. codebook VQ), FACTORIZE, MERGED, ROUTED, RECONSTRUCTED,
PRUNED, QUANTUM-ENCODED."""
W = np.asarray(W, dtype=np.float64)
params = int(W.size)
opts: List[Dict] = []
def add(decision, cost, energy, recon, detail=""):
opts.append({
"tensor": name, "decision": decision,
"cost_params": float(cost), "retained_energy": float(energy),
"reconstruction_error": float(recon), "detail": detail,
})
add("PRESERVE", params, 1.0, 0.0, "bit-exact")
if W.ndim == 2 and min(W.shape) > 1:
U, s, Vt = _svd_options(W)
total_e = float((s ** 2).sum())
# FACTORIZE at several ranks β measured energies
fracs = [0.75, 0.5, 0.25]
if rank and 0 < rank < min(W.shape):
fracs.append(rank / min(W.shape))
for frac in fracs:
r = max(1, int(len(s) * frac))
cost = r * (W.shape[0] + W.shape[1])
energy = float((s[:r] ** 2).sum() / total_e) if total_e else 1.0
Wr = (U[:, :r] * s[:r]) @ Vt[:r, :]
add("FACTORIZE", cost, energy, relative_error(W, Wr), f"svd-rank-{r}")
# QUANTIZE int8 β actually quantize and measure
qmin, qmax = W.min(), W.max()
if qmax > qmin:
scale = (qmax - qmin) / 255.0
Wq = np.round((W - qmin) / scale).astype(np.int64)
Wd = Wq.astype(np.float64) * scale + qmin
add("QUANTIZE", params * 8 / 32, 1.0 - relative_error(W, Wd) ** 2,
relative_error(W, Wd), "int8-symmetric-range")
# QUANTIZE via codebook vector quantization (k-means, k=16)
Wv, vq_cost = _vq_codebook(W, k=16)
vq_err = relative_error(W, Wv)
add("QUANTIZE", vq_cost, max(0.0, 1.0 - vq_err ** 2), vq_err,
"codebook-vq-k16")
# PRUNED β magnitude prune 25% / 50%, sparse cost model
flat = np.abs(W.ravel())
for frac in (0.25, 0.5):
k = int(flat.size * frac)
if k > 0:
thr = np.partition(flat, k)[k]
Wp = np.where(np.abs(W) >= thr, W, 0.0)
kept = int(np.count_nonzero(Wp))
# sparse CSR-ish cost: values + indices
cost = kept * 2
energy = 1.0 - relative_error(W, Wp) ** 2
add("PRUNED", cost, energy, relative_error(W, Wp),
f"magnitude-{int(frac*100)}pct-sparse")
# QUANTUM-ENCODED β only tiny blocks, routed through the real qsim
# RECONSTRUCTED β recursive-measurement classical reconstruction
if W.size <= QUANTUM_ELIGIBLE_MAX and qsim_encode is not None and quantum_policy != "off":
t0 = time.perf_counter()
rec, qrep = qsim_encode(W)
dt = time.perf_counter() - t0
err = relative_error(W, rec)
# Honest cost: classical reconstruction must still be stored.
add("QUANTUM-ENCODED", params, max(0.0, 1.0 - err ** 2), err,
f"qsim shots={qrep['shots']} t={dt:.4f}s")
# RECONSTRUCTED: deeper recursive measurement -> classical
# amplitude reconstruction stored as fp32 (measured, distinct
# from the single-level quantum-encoded path above).
from . import qsim as _Q
rec2, rep2 = _Q.tensor_roll_recursive(
W, depth=2, shots=qrep.get("shots", 2048), seed=0)
err2 = relative_error(W, rec2)
add("RECONSTRUCTED", params, max(0.0, 1.0 - err2 ** 2), err2,
f"recursive-measurement depth=2 shots={rep2['shots']}")
if quantum_policy == "explore":
add("ROUTED", params, max(0.0, 1.0 - err ** 2), err,
"routed-to-qsim-for-measurement")
else:
# 1-D tensors (biases, norms): merge into parent op β MERGED.
add("MERGED", params, 1.0, 0.0, "folded-into-parent-op")
qmin, qmax = W.min(), W.max()
if qmax > qmin:
scale = (qmax - qmin) / 255.0
Wd = np.round((W - qmin) / scale) * scale + qmin
add("QUANTIZE", params * 8 / 32, 1.0 - relative_error(W, Wd) ** 2,
relative_error(W, Wd), "int8-1d")
return opts
# ---------------------------------------------------------------------------
# Recursive TensorRoll operator
# ---------------------------------------------------------------------------
@dataclass
class RollNode:
name: str
shape: tuple
depth: int
metrics: Dict = field(default_factory=dict)
children: List["RollNode"] = field(default_factory=list)
options: List[Dict] = field(default_factory=list)
decision: Optional[Dict] = None
def roll_tree(name: str, W: np.ndarray, *, axis: int = 0, depth: int = 3,
quantum_policy: str = "off", qsim_encode=None, rank: int = 0,
_level: int = 0, _counter=None) -> RollNode:
"""Recursive partitioner backing TensorRoll(T, axis, depth, rank,
quantum_policy).
Recursively partitions T along `axis`; every node measures norm, rank,
entropy, variance, spectral contribution. Leaves evaluate real
compression options (rank-aware when `rank` > 0). Internal nodes
aggregate child energy.
"""
if _counter is None:
_counter = [0]
W = np.asarray(W)
node = RollNode(name=name, shape=tuple(W.shape), depth=_level,
metrics=tensor_metrics(W))
_counter[0] += 1
node.metrics["roll_id"] = _counter[0]
splittable = (_level < depth and W.ndim >= 1 and W.shape[axis] >= 4)
if splittable:
halves = np.array_split(W, 2, axis=axis)
for i, h in enumerate(halves):
node.children.append(
roll_tree(f"{name}/{i}", h, axis=axis, depth=depth,
quantum_policy=quantum_policy,
qsim_encode=qsim_encode, rank=rank,
_level=_level + 1, _counter=_counter))
else:
node.options = evaluate_options(
name, W, quantum_policy=quantum_policy, qsim_encode=qsim_encode,
rank=rank)
return node
def select_plan(leaves: List[RollNode], budget_params: float) -> Dict[str, Dict]:
"""Global representation search: greedy knapsack over measured
(cost, retained_energy) options subject to the hard parameter budget.
Returns {tensor_name: winning_option}."""
# Start every leaf at its cheapest option, then upgrade greedily.
srt = [sorted(leaf.options, key=lambda o: o["cost_params"]) for leaf in leaves]
choice = [0] * len(leaves)
total = sum(s[0]["cost_params"] for s in srt)
improved = True
while improved:
improved = False
best_gain, best_move = 0.0, None
for i, opts in enumerate(srt):
cur = choice[i]
for j in range(cur + 1, len(opts)):
dcost = opts[j]["cost_params"] - opts[cur]["cost_params"]
denergy = opts[j]["retained_energy"] - opts[cur]["retained_energy"]
if total + dcost <= budget_params and dcost > 0 and denergy > 0:
gain = denergy / dcost
if gain > best_gain:
best_gain, best_move = gain, (i, j, dcost)
if best_move:
i, j, dcost = best_move
choice[i] = j
total += dcost
improved = True
plan = {}
for i, leaf in enumerate(leaves):
plan[leaf.name] = srt[i][choice[i]]
plan["_total_cost_params"] = total
plan["_budget_params"] = float(budget_params)
return plan
def iter_leaves(node: RollNode):
if node.children:
for c in node.children:
yield from iter_leaves(c)
else:
yield node
def TensorRoll(T, axis: int = -1, depth: int = 2, rank: int = 8,
quantum_policy: str = "balanced", qsim_encode=None,
budget_params: float = 0.0, name: str = "T") -> Dict:
"""First-class recursive operator.
TensorRoll(T, axis, depth, rank, quantum_policy):
1. recursively partitions T along `axis` to `depth`, measuring every
node (norm, rank, entropy, variance, spectral contribution);
2. evaluates candidate representations per leaf β PRESERVE, QUANTIZE
(incl. codebook VQ), FACTORIZE (rank-aware via `rank`), MERGED,
ROUTED, RECONSTRUCTED, PRUNED, QUANTUM-ENCODED (the last gated by
`quantum_policy`);
3. searches the global representation plan under `budget_params`
(0 = unconstrained: keep the best-energy option per leaf);
4. returns the plan plus measured totals. No decision is hard-coded;
every option carries measured (cost, retained_energy,
reconstruction_error).
Backend labels: ordinary options execute on cpu-numpy; quantum-gated
options execute on qsim-classical (statevector simulator, NOT a QPU).
"""
T = np.asarray(T, dtype=np.float64)
ax = axis % T.ndim if T.ndim else 0
tree = roll_tree(name, T, axis=ax, depth=depth,
quantum_policy=quantum_policy, qsim_encode=qsim_encode,
rank=rank)
leaves = list(iter_leaves(tree))
full = float(sum(l.metrics["params"] for l in leaves))
budget = float(budget_params) if budget_params > 0 else full
plan = select_plan(leaves, budget)
for leaf in leaves:
leaf.decision = plan[leaf.name]
decisions = {}
for leaf in leaves:
d = leaf.decision["decision"]
decisions[d] = decisions.get(d, 0) + 1
energies = [leaf.decision["retained_energy"] for leaf in leaves]
return {
"tree": tree,
"plan": plan,
"n_leaves": len(leaves),
"decisions": decisions,
"total_cost_params": plan["_total_cost_params"],
"budget_params": plan["_budget_params"],
"full_params": full,
"mean_retained_energy": float(np.mean(energies)) if energies else 1.0,
"quantum_policy": quantum_policy,
"rank": rank,
}
def render_roll_line(node: RollNode, idx: int) -> str:
m = node.metrics
dec = node.decision["decision"] if node.decision else "β"
backend = "qsim-classical" if node.decision and "QUANTUM" in dec else CLASSICAL_BACKEND
return (
f"[ROLL {idx:04d}] source: {node.name} shape: {list(node.shape)} "
f"depth: {node.depth} params: {m['params']} "
f"rank: {m['rank']} entropy: {m['entropy']:.3f} "
f"spectral: {m['spectral']:.3f} "
f"cost: {node.decision['cost_params']:.0f} "
f"retained-energy: {node.decision['retained_energy']:.4f} "
f"recon-err: {node.decision['reconstruction_error']:.2e} "
f"backend: {backend} decision: {dec}"
)
|