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drop_bottom_frac (default 0.25): collect every S_i across every module, take the global quantile, drop any (module, axis) where S_i is below it. Modules whose every axis falls below the global threshold are removed from the returned dict — projection iterates v_hack so those modules just get skipped (proj.py: name not in v_hack -> continue). One physically meaningful threshold, applied once, at load. Global rather than per-module is intentional: per-module would protect the weakest modules from filtering (they always have a top axis), defeating the noise-floor goal. A module's "weakest" axis being weaker than the strongest axis of a stronger module is exactly the right reason to drop it. Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
124 lines
4.9 KiB
Python
124 lines
4.9 KiB
Python
"""Gradient projection + delta_S grad utilities. Imported by smoke and train."""
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from __future__ import annotations
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import torch
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def per_token_logps(logits: torch.Tensor, ids: torch.Tensor) -> torch.Tensor:
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"""log p(ids | logits) gathered token-wise.
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Uses F.cross_entropy (fused softmax+gather) so we never materialise the
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full [B, L, V] fp32 softmax. On Qwen3.5-2B with V=152k, G=8, L≈1500 the
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fp32 vocab tensor was ~7 GB per forward — the difference between OOM and
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fit on a 96 GB card when the autograd graph is alive.
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"""
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B, L, V = logits.shape
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# CE's internal log_softmax accumulates in fp32 (stable) but returns input dtype.
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# The output [B*L] is small, so upcast it to fp32 for downstream PPO ratio math.
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return -torch.nn.functional.cross_entropy(
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logits.reshape(-1, V), ids.reshape(-1), reduction="none"
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).float().view(B, L)
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@torch.no_grad()
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def mean_cin_from_grads(
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grad_dict: dict[str, torch.Tensor],
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v_hack: dict[str, torch.Tensor],
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) -> float:
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"""Mean over modules of ||V g|| / ||g||, given a dict of per-module grads.
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Used to compute per-source cin (cin_s for student-only grad, cin_t for
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teacher-only grad) without mutating model.grad or calling the full
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projection pipeline. v_hack rows are orthonormal so ||V g|| <= ||g|| and
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the ratio is in [0,1].
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"""
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cs = []
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for name, g in grad_dict.items():
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if g is None or name not in v_hack:
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continue
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V = v_hack[name].to(g.device, dtype=g.dtype)
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gn = g.norm()
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if gn < 1e-12:
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continue
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cs.append(((V @ g).norm() / gn).item())
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return float(sum(cs) / len(cs)) if cs else float("nan")
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@torch.no_grad()
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def project_delta_S_grad(
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wrappers: dict,
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v_hack: dict[str, torch.Tensor],
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preserve_magnitude: bool,
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measure_only: bool = False,
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gate_mode: str = "one_sided",
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) -> dict[str, float]:
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"""Per-module top-k removal of hack-aligned grad components.
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For each wrapped module:
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g = delta_S.grad # [r]
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V = v_hack[name] # [k, r], rows orthonormal, oriented hack-ward
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c = V @ g # [k] per-direction coefficients
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gate_mode="one_sided" (default):
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mask = (c > 0) # only zap when grad is going hack-ward on that axis
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g' = g - (c * mask) @ V # subtract only positive-coefficient components
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gate_mode="no_gate":
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g' = g - c @ V # full V·V^T removal, sign-agnostic;
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# drives ||V g'|| -> 0 exactly. No trust in v_hack
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# orientation: any motion in span(V) is suspect.
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`preserve_magnitude`: rescale g' to ||g|| after projection.
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`measure_only`: same math, but g is not mutated (vanilla arm diagnostic).
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Diagnostics returned (per call, averaged over modules):
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mean_cos_in = mean over modules of ||V g||/||g|| (subspace energy fraction in)
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mean_cos_out = same after projection
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frac_fired = fraction of modules where at least one direction fired (c_i > 0)
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"""
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cos_in_list, cos_out_list, n_fired = [], [], 0
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for name, info in wrappers.items():
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g = info["delta_S"].grad
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if g is None:
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continue
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if name not in v_hack: # module dropped by global noise-floor filter
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continue
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V = v_hack[name].to(g.device, dtype=g.dtype) # [k, r]
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gn = g.norm()
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if gn < 1e-12:
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cos_in_list.append(0.0); cos_out_list.append(0.0); continue
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c = V @ g # [k]
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cin = c.norm() / gn
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cos_in_list.append(cin.item())
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if gate_mode == "no_gate":
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c_use = c
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fired = True
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elif gate_mode == "one_sided":
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mask = (c > 0).to(c.dtype)
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c_use = c * mask
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fired = bool((c_use != 0).any())
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else:
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raise ValueError(f"unknown gate_mode={gate_mode!r}")
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if fired:
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g_proj = g - c_use @ V # [r]
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gp_n = g_proj.norm()
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if preserve_magnitude and gp_n > 1e-12:
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g_proj = g_proj * (gn / gp_n)
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cout = (V @ g_proj).norm() / g_proj.norm().clamp_min(1e-12)
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cos_out_list.append(cout.item())
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if not measure_only:
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info["delta_S"].grad = g_proj
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n_fired += 1
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else:
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cos_out_list.append(cin.item())
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cin_t = torch.tensor(cos_in_list); cout_t = torch.tensor(cos_out_list)
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return {
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"mean_cos_in": cin_t.mean().item(),
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"min_cos_in": cin_t.min().item() if cin_t.numel() else float("nan"),
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"max_cos_in": cin_t.max().item() if cin_t.numel() else float("nan"),
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"mean_cos_out": cout_t.mean().item(),
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"min_cos_out": cout_t.min().item() if cout_t.numel() else float("nan"),
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"max_cos_out": cout_t.max().item() if cout_t.numel() else float("nan"),
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"frac_fired": n_fired / len(cos_in_list) if cos_in_list else 0.0,
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}
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