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"""Rank-1 weight-space compiler.
The edit, from Takehi, Teoh, Zhang, and Khattab (2 Nov 2026):
w_j <- w_j - alpha * (u^T w_j) * u for j in the top-K columns
No optimizer. No backward pass. Storage backends decode a tensor to float32,
the math runs there, and the backend writes the native bytes back.
"""
from __future__ import annotations
import hashlib
import json
import mmap
import os
import re
import shutil
import struct
from abc import ABC, abstractmethod
from dataclasses import asdict, dataclass
from enum import Enum
from pathlib import Path
from typing import Dict, List, Optional, Sequence, Tuple, Union
import numpy as np
class SemanticTarget(str, Enum):
RESIDUAL_OUT_PROJ = "residual_out_proj"
CHANNEL_UP_PROJ = "channel_up_proj"
ATTN_O_PROJ = "attn_o_proj"
ATTN_V_BIAS = "attn_v_bias"
SSM_DECAY_LOG = "ssm_decay_log"
TEMPLATES: Dict[SemanticTarget, List[str]] = {
SemanticTarget.RESIDUAL_OUT_PROJ: [
"model.layers.{i}.mlp.down_proj.weight",
"model.language_model.layers.{i}.mlp.down_proj.weight",
"language_model.model.layers.{i}.mlp.down_proj.weight",
"model.layers.{i}.ffn.w2.weight",
"model.layers.{i}.feed_forward.w2.weight",
"model.layers.{i}.mlp.fc2.weight",
"backbone.layers.{i}.mixer.out_proj.weight",
"model.layers.{i}.mixer.out_proj.weight",
"transformer.h.{i}.mlp.c_proj.weight",
"blk.{i}.ffn_down.weight",
],
SemanticTarget.CHANNEL_UP_PROJ: [
"model.layers.{i}.mlp.up_proj.weight",
"model.language_model.layers.{i}.mlp.up_proj.weight",
"model.layers.{i}.ffn.w3.weight",
"blk.{i}.ffn_up.weight",
],
SemanticTarget.ATTN_O_PROJ: [
"model.layers.{i}.self_attn.o_proj.weight",
"model.language_model.layers.{i}.self_attn.o_proj.weight",
"model.layers.{i}.attention.wo.weight",
"blk.{i}.attn_output.weight",
],
SemanticTarget.ATTN_V_BIAS: [
"model.layers.{i}.self_attn.v_proj.bias",
"model.language_model.layers.{i}.self_attn.v_proj.bias",
"blk.{i}.attn_v.bias",
],
SemanticTarget.SSM_DECAY_LOG: [
"backbone.layers.{i}.mixer.A_log",
"model.layers.{i}.mixer.A_log",
"blk.{i}.ssm_a",
],
}
def resolve_tensor(keys: Sequence[str], layer_idx: int, target: Union[SemanticTarget, str]) -> str:
key_set = set(keys)
if isinstance(target, str) and target in key_set:
return target
if isinstance(target, str) and "{i}" in target and target.format(i=layer_idx) in key_set:
return target.format(i=layer_idx)
sem = target if isinstance(target, SemanticTarget) else SemanticTarget(target)
for template in TEMPLATES.get(sem, []):
candidate = template.format(i=layer_idx)
if candidate in key_set:
return candidate
pattern = re.compile(
rf"(?:layers|blk|h)\.{layer_idx}\..*(?:down_proj|ffn_down|w2|out_proj|c_proj)\.weight$"
)
for key in keys:
if pattern.search(key):
return key
sample = list(keys)[:6]
raise KeyError(f"No tensor for layer {layer_idx} target {target!r}. Sample keys: {sample}")
def _unit(v: np.ndarray) -> np.ndarray:
n = float(np.linalg.norm(v))
if n < 1e-15:
raise ValueError("Direction has zero norm.")
return (v / n).astype(np.float32, copy=False)
def contrastive_direction(loop: np.ndarray, clean: np.ndarray) -> np.ndarray:
"""Principal right singular vector of (loop - mean(clean)). Rows are samples."""
loop_m = np.asarray(loop, dtype=np.float32)
clean_m = np.asarray(clean, dtype=np.float32)
if loop_m.ndim != 2 or clean_m.ndim != 2 or loop_m.shape[1] != clean_m.shape[1]:
raise ValueError("Activation dumps must be 2-D and share a hidden size.")
diff = loop_m - clean_m.mean(axis=0, keepdims=True)
_, _, vt = np.linalg.svd(diff, full_matrices=False)
return _unit(vt[0])
def rank1_column_ablation(
weight: np.ndarray,
direction: np.ndarray,
top_k: int = 64,
alpha: float = 6.0,
explicit_columns: Optional[Sequence[int]] = None,
) -> Tuple[np.ndarray, np.ndarray]:
"""Apply w_j <- w_j - alpha * (u^T w_j) * u.
`weight` is (d_model, d_ff) or (d_ff, d_model). The axis matching `direction`
is treated as the residual axis. Returns (updated, column_indices) in the
original orientation.
"""
w = np.asarray(weight, dtype=np.float32)
if w.ndim != 2:
raise ValueError(f"Expected a matrix, got shape {w.shape}.")
u = _unit(np.asarray(direction, dtype=np.float32).reshape(-1))
transposed = False
work = w
if work.shape[0] != u.shape[0] and work.shape[1] == u.shape[0]:
work = work.T
transposed = True
elif work.shape[0] != u.shape[0]:
raise ValueError(f"u length {u.shape[0]} matches neither axis of {tuple(w.shape)}.")
proj = u @ work
if explicit_columns is not None:
cols = np.asarray(list(explicit_columns), dtype=np.int64)
else:
k = int(min(max(top_k, 1), work.shape[1]))
cols = np.argpartition(np.abs(proj), -k)[-k:]
cols = cols[np.argsort(-np.abs(proj[cols]))]
updated = work.copy()
updated[:, cols] -= alpha * np.outer(u, proj[cols])
if transposed:
updated = np.ascontiguousarray(updated.T)
return updated.astype(np.float32, copy=False), cols
def audit(before: np.ndarray, after: np.ndarray) -> Dict[str, float]:
delta = after.astype(np.float32) - before.astype(np.float32)
f0 = float(np.linalg.norm(before))
fd = float(np.linalg.norm(delta))
singular = np.linalg.svd(delta, compute_uv=False)
s1 = float(singular[0]) if singular.size else 0.0
s2 = float(singular[1]) if singular.size > 1 else 0.0
return {
"relative_frobenius_pct": (fd / max(f0, 1e-15)) * 100.0,
"sigma1": s1,
"sigma2_over_sigma1_pct": (s2 / s1 * 100.0) if s1 > 1e-9 else 0.0,
}
@dataclass
class EditRecord:
backend_format: str
resolved_tensor_name: str
storage_dtype: str
shape: List[int]
touched_columns: int
touched_elements: int
total_elements: int
pct_tensor_touched: float
relative_frobenius_norm_pct: float
sigma2_to_sigma1_pct: float
sha256_before: str
sha256_after: str
class TensorBackend(ABC):
format_name = "abstract"
@abstractmethod
def list_tensors(self) -> List[str]: ...
@abstractmethod
def read_fp32(self, name: str) -> Tuple[np.ndarray, str, bytes]: ...
@abstractmethod
def write_fp32(self, name: str, updated: np.ndarray) -> bytes: ...
@abstractmethod
def save(self, output_path: Optional[Union[str, Path]] = None) -> Path: ...
class GGMLQuantType(int, Enum):
F32 = 0
F16 = 1
Q4_0 = 2
Q8_0 = 8
BF16 = 30
@dataclass
class GGUFTensorMeta:
name: str
dims: Tuple[int, ...]
ggml_type: int
offset: int
byte_size: int
class GGUFBackend(TensorBackend):
"""GGUF v2/v3 reader and in-place writer for F32, F16, BF16, Q8_0, Q4_0."""
format_name = "gguf"
_FIXED = {0: 1, 1: 1, 2: 2, 3: 2, 4: 4, 5: 4, 6: 4, 7: 1, 10: 8, 11: 8, 12: 8}
def __init__(self, path: Union[str, Path]):
self.path = Path(path)
if not self.path.is_file():
raise FileNotFoundError(self.path)
self.alignment = 32
self.tensors: Dict[str, GGUFTensorMeta] = {}
self.data_section_offset = 0
self._staged: Dict[str, bytes] = {}
self._parse()
@staticmethod
def _read_string(buf: mmap.mmap, pos: int) -> Tuple[str, int]:
(length,) = struct.unpack_from("<Q", buf, pos)
pos += 8
return buf[pos : pos + length].decode("utf-8", errors="replace"), pos + length
def _skip(self, buf: mmap.mmap, pos: int, vtype: int) -> int:
if vtype in self._FIXED:
return pos + self._FIXED[vtype]
if vtype == 8:
(length,) = struct.unpack_from("<Q", buf, pos)
return pos + 8 + length
if vtype == 9:
elem_type, count = struct.unpack_from("<IQ", buf, pos)
pos += 12
if elem_type in self._FIXED:
return pos + count * self._FIXED[elem_type]
for _ in range(count):
pos = self._skip(buf, pos, elem_type)
return pos
raise ValueError(f"Unknown GGUF value type {vtype}")
@staticmethod
def byte_size(dims: Tuple[int, ...], ggml_type: int) -> int:
n = int(np.prod(dims))
if ggml_type == GGMLQuantType.F32:
return n * 4
if ggml_type in (GGMLQuantType.F16, GGMLQuantType.BF16):
return n * 2
if ggml_type == GGMLQuantType.Q8_0:
if n % 32:
raise ValueError("Q8_0 length must be a multiple of 32")
return (n // 32) * 34
if ggml_type == GGMLQuantType.Q4_0:
if n % 32:
raise ValueError("Q4_0 length must be a multiple of 32")
return (n // 32) * 18
raise NotImplementedError(f"Quant type {ggml_type} is not supported")
def _parse(self) -> None:
with self.path.open("rb") as handle, mmap.mmap(handle.fileno(), 0, access=mmap.ACCESS_READ) as mm:
if mm[0:4] != b"GGUF":
raise ValueError("Not a GGUF file")
version, n_tensors, n_kv = struct.unpack_from("<IQQ", mm, 4)
if version not in (2, 3):
raise ValueError(f"Unsupported GGUF version {version}")
pos = 24
for _ in range(n_kv):
key, pos = self._read_string(mm, pos)
(vtype,) = struct.unpack_from("<I", mm, pos)
pos += 4
if key == "general.alignment" and vtype == 4:
(self.alignment,) = struct.unpack_from("<I", mm, pos)
pos = self._skip(mm, pos, vtype)
for _ in range(n_tensors):
name, pos = self._read_string(mm, pos)
(n_dims,) = struct.unpack_from("<I", mm, pos)
pos += 4
dims = struct.unpack_from(f"<{n_dims}Q", mm, pos)
pos += 8 * n_dims
ggml_type, rel = struct.unpack_from("<IQ", mm, pos)
pos += 12
self.tensors[name] = GGUFTensorMeta(
name, dims, ggml_type, rel, self.byte_size(dims, ggml_type)
)
rem = pos % self.alignment
self.data_section_offset = pos if rem == 0 else pos + (self.alignment - rem)
def list_tensors(self) -> List[str]:
return list(self.tensors)
def _raw(self, name: str) -> bytes:
if name in self._staged:
return self._staged[name]
meta = self.tensors[name]
with self.path.open("rb") as handle:
handle.seek(self.data_section_offset + meta.offset)
return handle.read(meta.byte_size)
@staticmethod
def dequant_q8(raw: bytes, shape: Tuple[int, ...]) -> np.ndarray:
block = np.dtype([("d", "<f2"), ("qs", "i1", (32,))])
blocks = np.frombuffer(raw, dtype=block)
values = blocks["d"].astype(np.float32)[:, None] * blocks["qs"].astype(np.float32)
return values.reshape(shape)
@staticmethod
def quant_q8(mat: np.ndarray) -> bytes:
flat = np.ascontiguousarray(mat, dtype=np.float32).reshape(-1, 32)
amax = np.max(np.abs(flat), axis=1)
scale = (amax / 127.0).astype(np.float16)
inv = np.zeros((flat.shape[0], 1), dtype=np.float32)
nz = scale.astype(np.float32) != 0
inv[nz, 0] = 1.0 / scale.astype(np.float32)[nz]
qs = np.rint(flat * inv).clip(-128, 127).astype(np.int8)
out = np.empty(flat.shape[0], dtype=np.dtype([("d", "<f2"), ("qs", "i1", (32,))]))
out["d"] = scale
out["qs"] = qs
return out.tobytes()
@staticmethod
def dequant_q4(raw: bytes, shape: Tuple[int, ...]) -> np.ndarray:
block = np.dtype([("d", "<f2"), ("qs", "u1", (16,))])
blocks = np.frombuffer(raw, dtype=block)
low = (blocks["qs"] & 0x0F).astype(np.int8) - 8
high = (blocks["qs"] >> 4).astype(np.int8) - 8
weights = np.concatenate([low, high], axis=1).astype(np.float32)
return (blocks["d"].astype(np.float32)[:, None] * weights).reshape(shape)
@staticmethod
def quant_q4(mat: np.ndarray) -> bytes:
flat = np.ascontiguousarray(mat, dtype=np.float32).reshape(-1, 32)
amax = np.max(np.abs(flat), axis=1)
scale = (amax / 7.0).astype(np.float16)
inv = np.zeros((flat.shape[0], 1), dtype=np.float32)
nz = scale.astype(np.float32) != 0
inv[nz, 0] = 1.0 / scale.astype(np.float32)[nz]
codes = (np.rint(flat * inv).clip(-8, 7).astype(np.int8) + 8).astype(np.uint8)
packed = (codes[:, :16] & 0x0F) | ((codes[:, 16:] & 0x0F) << 4)
out = np.empty(flat.shape[0], dtype=np.dtype([("d", "<f2"), ("qs", "u1", (16,))]))
out["d"] = scale
out["qs"] = packed
return out.tobytes()
@staticmethod
def _bf16_to_f32(raw: bytes) -> np.ndarray:
u16 = np.frombuffer(raw, dtype="<u2")
return (u16.astype(np.uint32) << 16).view(np.float32)
@staticmethod
def _f32_to_bf16(mat: np.ndarray) -> bytes:
u32 = np.ascontiguousarray(mat, dtype=np.float32).view(np.uint32)
rounded = (u32 + 0x7FFF + ((u32 >> 16) & 1)) >> 16
return rounded.astype("<u2").tobytes()
def read_fp32(self, name: str) -> Tuple[np.ndarray, str, bytes]:
meta = self.tensors[name]
raw = self._raw(name)
shape = tuple(reversed(meta.dims))
kind = meta.ggml_type
if kind == GGMLQuantType.F32:
return np.frombuffer(raw, dtype="<f4").reshape(shape).copy(), "GGUF_F32", raw
if kind == GGMLQuantType.F16:
return np.frombuffer(raw, dtype="<f2").astype(np.float32).reshape(shape), "GGUF_F16", raw
if kind == GGMLQuantType.BF16:
return self._bf16_to_f32(raw).reshape(shape).copy(), "GGUF_BF16", raw
if kind == GGMLQuantType.Q8_0:
return self.dequant_q8(raw, shape), "GGUF_Q8_0", raw
if kind == GGMLQuantType.Q4_0:
return self.dequant_q4(raw, shape), "GGUF_Q4_0", raw
raise NotImplementedError(f"{name} uses quant type {kind}")
def write_fp32(self, name: str, updated: np.ndarray) -> bytes:
meta = self.tensors[name]
kind = meta.ggml_type
if kind == GGMLQuantType.F32:
raw = np.ascontiguousarray(updated, dtype="<f4").tobytes()
elif kind == GGMLQuantType.F16:
raw = np.ascontiguousarray(updated, dtype="<f2").tobytes()
elif kind == GGMLQuantType.BF16:
raw = self._f32_to_bf16(updated)
elif kind == GGMLQuantType.Q8_0:
raw = self.quant_q8(updated)
elif kind == GGMLQuantType.Q4_0:
raw = self.quant_q4(updated)
else:
raise NotImplementedError(kind)
if len(raw) != meta.byte_size:
raise ValueError(f"Byte size {len(raw)} != {meta.byte_size} for {name}")
self._staged[name] = raw
return raw
def save(self, output_path: Optional[Union[str, Path]] = None) -> Path:
dest = Path(output_path) if output_path else self.path
if dest.resolve() != self.path.resolve():
dest.parent.mkdir(parents=True, exist_ok=True)
shutil.copy2(self.path, dest)
with dest.open("r+b") as handle, mmap.mmap(handle.fileno(), 0, access=mmap.ACCESS_WRITE) as mm:
for name, raw in self._staged.items():
meta = self.tensors[name]
start = self.data_section_offset + meta.offset
mm[start : start + meta.byte_size] = raw
mm.flush()
return dest
def build_synthetic_gguf(
path: Path,
weight: np.ndarray,
tensor_name: str = "blk.15.ffn_down.weight",
quant: GGMLQuantType = GGMLQuantType.Q8_0,
) -> None:
"""Write a one-tensor GGUF whose payload is `weight` in GGUF dimension order."""
if quant == GGMLQuantType.Q8_0:
payload = GGUFBackend.quant_q8(weight)
elif quant == GGMLQuantType.Q4_0:
payload = GGUFBackend.quant_q4(weight)
elif quant == GGMLQuantType.F32:
payload = np.ascontiguousarray(weight, dtype="<f4").tobytes()
else:
raise NotImplementedError(quant)
d_model, d_ff = weight.shape
name = tensor_name.encode()
key = b"general.architecture"
val = b"qwen3"
header = bytearray()
header += b"GGUF"
header += struct.pack("<IQQ", 3, 1, 1)
header += struct.pack("<Q", len(key)) + key
header += struct.pack("<I", 8)
header += struct.pack("<Q", len(val)) + val
header += struct.pack("<Q", len(name)) + name
header += struct.pack("<I", 2)
header += struct.pack("<QQ", d_ff, d_model)
header += struct.pack("<IQ", int(quant), 0)
rem = len(header) % 32
if rem:
header += b"\x00" * (32 - rem)
path.write_bytes(bytes(header) + payload)
class UniversalWeightSpaceModelifier:
def __init__(self, model_path: Union[str, Path]):
self.model_path = Path(model_path)
if self.model_path.suffix.lower() != ".gguf":
raise ValueError("This build of the engine opens GGUF files. Use the Hub surgeon for safetensors repos.")
self.backend: TensorBackend = GGUFBackend(self.model_path)
self.ledger: List[EditRecord] = []
def apply(
self,
layer_idx: int,
direction: np.ndarray,
top_k: int = 64,
alpha: float = 6.0,
target: Union[SemanticTarget, str] = SemanticTarget.RESIDUAL_OUT_PROJ,
explicit_columns: Optional[Sequence[int]] = None,
) -> EditRecord:
name = resolve_tensor(self.backend.list_tensors(), layer_idx, target)
original, storage, raw_before = self.backend.read_fp32(name)
updated, cols = rank1_column_ablation(
original, direction, top_k=top_k, alpha=alpha, explicit_columns=explicit_columns
)
raw_after = self.backend.write_fp32(name, updated)
effective, _, _ = self.backend.read_fp32(name)
stats = audit(original, effective)
d_model = int(direction.reshape(-1).shape[0])
touched = int(d_model * len(cols))
record = EditRecord(
backend_format=self.backend.format_name,
resolved_tensor_name=name,
storage_dtype=storage,
shape=list(original.shape),
touched_columns=int(len(cols)),
touched_elements=touched,
total_elements=int(original.size),
pct_tensor_touched=round(touched / original.size * 100.0, 4),
relative_frobenius_norm_pct=round(stats["relative_frobenius_pct"], 4),
sigma2_to_sigma1_pct=round(stats["sigma2_over_sigma1_pct"], 4),
sha256_before=hashlib.sha256(raw_before).hexdigest(),
sha256_after=hashlib.sha256(raw_after).hexdigest(),
)
self.ledger.append(record)
return record
def save(self, output_path: Optional[Union[str, Path]] = None) -> dict:
saved = self.backend.save(output_path)
manifest = {
"model_path": str(saved),
"backend_format": self.backend.format_name,
"total_touched_elements": sum(r.touched_elements for r in self.ledger),
"edits": [asdict(r) for r in self.ledger],
}
manifest_path = (
saved / "weight_space_manifest.json"
if saved.is_dir()
else saved.with_name(saved.name + ".manifest.json")
)
manifest_path.write_text(json.dumps(manifest, indent=2), encoding="utf-8")
return manifest
def self_test() -> None:
rng = np.random.default_rng(7)
d_model, d_ff = 128, 256
planted = _unit(rng.standard_normal(d_model).astype(np.float32))
weight = rng.standard_normal((d_model, d_ff)).astype(np.float32) * 0.05
weight[:, :48] += planted[:, None] * 0.5
loop = planted[None, :] + rng.normal(0, 0.02, size=(16, d_model)).astype(np.float32)
clean = rng.normal(0, 0.02, size=(16, d_model)).astype(np.float32)
found = contrastive_direction(loop, clean)
cosine = abs(float(np.dot(found, planted)))
assert cosine > 0.98, cosine
edited, cols = rank1_column_ablation(weight, found, top_k=48, alpha=1.0)
stats = audit(weight, edited)
assert stats["sigma2_over_sigma1_pct"] < 0.05, stats
proj_before = np.abs(found @ weight)[cols].mean()
proj_after = np.abs(found @ edited)[cols].mean()
assert proj_after < proj_before * 0.05, (float(proj_before), float(proj_after))
edited6, cols6 = rank1_column_ablation(weight, found, top_k=48, alpha=6.0)
scale = float((found @ edited6)[cols6].mean() / (found @ weight)[cols6].mean())
assert abs(scale - (1.0 - 6.0)) < 0.05, scale
import tempfile
for quant in (GGMLQuantType.Q8_0, GGMLQuantType.Q4_0):
with tempfile.TemporaryDirectory() as tmp:
path = Path(tmp) / "toy.gguf"
build_synthetic_gguf(path, weight, quant=quant)
engine = UniversalWeightSpaceModelifier(path)
rec = engine.apply(15, found, top_k=48, alpha=6.0)
assert rec.resolved_tensor_name == "blk.15.ffn_down.weight"
assert rec.touched_columns == 48
assert rec.sha256_before != rec.sha256_after
manifest = engine.save()
assert manifest["total_touched_elements"] == 128 * 48
reread, _, _ = engine.backend.read_fp32(rec.resolved_tensor_name)
# Quantized round-trip cannot be exact, but the targeted columns must move.
moved = np.linalg.norm(reread[:, cols] - weight[:, cols])
assert moved > 0.1, moved
if quant == GGMLQuantType.Q8_0:
assert rec.sigma2_to_sigma1_pct < 15.0, rec.sigma2_to_sigma1_pct
names = [
"model.layers.15.mlp.down_proj.weight",
"blk.3.ffn_down.weight",
"model.language_model.layers.2.mlp.down_proj.weight",
]
assert resolve_tensor(names, 15, SemanticTarget.RESIDUAL_OUT_PROJ).startswith("model.layers.15")
assert resolve_tensor(names, 3, SemanticTarget.RESIDUAL_OUT_PROJ) == "blk.3.ffn_down.weight"
print("self-test ok", {"cosine": round(cosine, 4), "sigma2_pct": round(stats["sigma2_over_sigma1_pct"], 6)})
if __name__ == "__main__":
self_test()
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