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parquet
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1M - 10M
Tags:
gaussian-splatting
fault-tolerance
single-event-upset
reliability
radiance-fields
computer-graphics
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File size: 5,815 Bytes
f8fe8a4 f138992 f8fe8a4 f138992 f8fe8a4 f138992 f8fe8a4 | 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 | """Single-event-upset (single-bit) fault injection for 3D Gaussian Splatting.
A fault site is (field, gaussian, component, bit). The bit is flipped in the
*stored* representation of the parameter (the value as it sits in VRAM), at the
requested numeric precision (fp32 / fp16 / bf16), then the model is re-rendered.
IEEE-754 bit layout (bit 0 = LSB):
fp32 : [31]=sign, [30:23]=exponent(8), [22:0]=mantissa(23)
fp16 : [15]=sign, [14:10]=exponent(5), [9:0]=mantissa(10)
bf16 : [15]=sign, [14:7]=exponent(8), [6:0]=mantissa(7)
"""
from typing import Dict, List, Tuple
import torch
import gsmodel
# precision -> (float dtype, int dtype, n_bits, exp_lo, exp_hi) exponent bits in [exp_lo, exp_hi]
PREC = {
"fp32": (torch.float32, torch.int32, 32, 23, 30),
"fp16": (torch.float16, torch.int16, 16, 10, 14),
"bf16": (torch.bfloat16, torch.int16, 16, 7, 14),
}
# fields that gsplat renders, with the per-Gaussian component count after flattening
FIELD_COMPONENTS = { # filled per-model because shN depends on sh_degree
"means": 3, "scales": 3, "quats": 4, "opacities": 1, "sh0": 3,
}
def bit_class(prec: str, bit: int) -> str:
"""Return 'sign' | 'exp' | 'mantissa' for a bit position at a precision."""
_, _, nbits, elo, ehi = PREC[prec]
if bit == nbits - 1:
return "sign"
if elo <= bit <= ehi:
return "exp"
return "mantissa"
def quantize_params(params: Dict[str, torch.Tensor], prec: str) -> Tuple[Dict, Dict]:
"""Return (stored, work_fp32): `stored` holds each field at the target precision
(the VRAM image); `work_fp32` is its fp32 view used for rendering."""
fdt = PREC[prec][0]
stored = {k: v.detach().to(fdt).contiguous() for k, v in params.items()}
work = {k: v.to(torch.float32).contiguous() for k, v in stored.items()}
return stored, work
def flip_one(stored_field: torch.Tensor, work_field: torch.Tensor, flat_idx: int,
bit: int, prec: str):
"""Flip `bit` of element `flat_idx` (in the flattened field) of the stored
field; write the resulting fp32 value into work_field. Returns
(clean_fp32_value, corrupted_fp32_value) so the caller can restore."""
fdt, idt, _, _, _ = PREC[prec]
iv = stored_field.view(-1).view(idt) # int view of stored (read-only)
mask = torch.tensor(1, dtype=idt, device=iv.device) << bit
corr_int = (iv[flat_idx] ^ mask).reshape(1) # corrupted bit pattern
corr_fp32 = corr_int.view(fdt).to(torch.float32).reshape(()) # reinterpret -> fp32
wv = work_field.view(-1)
clean_fp32 = wv[flat_idx].clone()
wv[flat_idx] = corr_fp32
return clean_fp32, wv[flat_idx].clone()
def restore_one(work_field: torch.Tensor, flat_idx: int, clean_fp32: torch.Tensor):
work_field.view(-1)[flat_idx] = clean_fp32
def render_views(work: Dict[str, torch.Tensor], viewmats, Ks, W, H, sh_degree):
"""Render and composite over white. Returns (img[K,H,W,3] sanitized & clamped,
catastrophe_bool)."""
try:
renders, alphas, _ = gsmodel.render(work, viewmats, Ks, W, H, sh_degree,
bg_white=True, packed=True)
out = renders
finite = torch.isfinite(out).all().item()
img = torch.nan_to_num(out, nan=1.0, posinf=1.0, neginf=0.0).clamp(0.0, 1.0)
return img, (not finite)
except Exception:
K = viewmats.shape[0]
return torch.ones(K, H, W, 3, device=viewmats.device), True
def metrics(pred: torch.Tensor, clean: torch.Tensor, lpips_fn, ssim_fn) -> Dict[str, float]:
"""pred, clean : [K,H,W,3] in [0,1]. Returns averaged metrics."""
mse = torch.mean((pred - clean) ** 2).item()
psnr = -10.0 * torch.log10(torch.tensor(max(mse, 1e-12))).item()
p = pred.permute(0, 3, 1, 2)
c = clean.permute(0, 3, 1, 2)
ss = ssim_fn(p, c).item()
with torch.no_grad():
lp = lpips_fn(p * 2 - 1, c * 2 - 1).mean().item()
maxerr = (pred - clean).abs().max().item()
fracchg = ((pred - clean).abs().amax(dim=-1) > (1.0 / 255.0)).float().mean().item()
return {"mse": mse, "psnr": psnr, "ssim": ss, "lpips": lp,
"maxerr": maxerr, "fracchg": fracchg}
# ---------------- parallel range-guard (SDC detector/corrector) ----------------
# Fields the guard clamps. The higher-order spherical-harmonic coefficients
# (shN, 45 of the 59 per-primitive components) are inert under single-bit upsets:
# they modulate view-dependent colour within a primitive's existing footprint and
# cannot expand its spatial extent. Guarding them is therefore unnecessary and is
# the bulk of the cost, so the deployed guard skips them.
GUARD_FIELDS = ["means", "scales", "quats", "opacities", "sh0"]
def compute_bounds(params: Dict[str, torch.Tensor]) -> Dict[str, Tuple[torch.Tensor, torch.Tensor]]:
"""Per-field, per-component [min,max] box of the trained model (its support)."""
bounds = {}
for k, v in params.items():
flat = v.reshape(v.shape[0], -1) # [N, C]
lo = flat.min(dim=0).values
hi = flat.max(dim=0).values
bounds[k] = (lo.contiguous(), hi.contiguous())
return bounds
def apply_guard(work: Dict[str, torch.Tensor], bounds, fields=None) -> Dict[str, torch.Tensor]:
"""Clamp each guarded field to the trained support box and replace non-finite
values, leaving the inert SH-rest field untouched. Embarrassingly parallel,
O(N) per field. Unguarded fields are returned by reference (no copy)."""
fields = GUARD_FIELDS if fields is None else fields
out = dict(work)
for k in fields:
v = work[k]
lo, hi = bounds[k]
flat = v.reshape(v.shape[0], -1)
flat = torch.clamp(torch.nan_to_num(flat, nan=0.0, posinf=0.0, neginf=0.0), lo, hi)
out[k] = flat.reshape(v.shape)
return out
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