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New mapping methods on top of the existing 25-anchor experiment data:
(f) procrustes Per-tensor orthogonal Procrustes alignment between
X-anchor and Y-anchor matrices in tensor-flat space.
Respects the LoRA gauge ambiguity better than ridge.
(g) topk_global_ridge Pick top-K anchors by X-side cosine similarity to X_target,
then run global anchor-basis ridge on that subset.
(h) topk_pertensor_ridge Same, but per-tensor ridge.
(i) topk_pertensor_mlp Top-K + per-tensor PCA-MLP hypernet (re-trained per task).
Reuses all training artifacts from /app/scaled/X and /app/scaled/Y.
"""
import os, json, gc, shutil, re, collections, math
from pathlib import Path
import numpy as np
import torch
import torch.nn.functional as F
from datasets import load_dataset
from transformers import AutoTokenizer, AutoModelForCausalLM, set_seed
from peft import PeftModel
from safetensors.torch import load_file, save_file
# Reuse main pipeline's task definitions
import sys; sys.path.insert(0, "/app")
import scaled_pipeline as sp
set_seed(42)
OUT = sp.OUT # /app/scaled
ANCHOR_NAMES = sp.ANCHOR_NAMES
HELDOUT_NAMES = sp.HELDOUT_NAMES
MODEL_Y = sp.MODEL_Y
EVAL_PER_TASK = sp.EVAL_PER_TASK
def load_sd(p): return {k: v.float().cpu() for k,v in load_file(str(p/"adapter_model.safetensors")).items()}
def parse_key(k):
m = re.search(r'layers\.(\d+)\.self_attn\.(\w+)_proj\.lora_(A|B)', k)
return int(m.group(1)), m.group(2), m.group(3)
def group_by_layer(sd):
g = collections.defaultdict(dict)
for k, v in sd.items():
L, mod, AB = parse_key(k)
g[(mod, AB)][L] = (k, v)
return g
def align_X_to_Y(X_anchors_list, X_target, Y_template_sd):
Y_g = group_by_layer(Y_template_sd)
X_gs = [group_by_layer(s) for s in X_anchors_list]
X_t = group_by_layer(X_target)
nLY = max(Y_g[("q","A")].keys()) + 1
nLX = max(X_gs[0][("q","A")].keys()) + 1
out = {}
for (mod, AB), layers in Y_g.items():
for L_y, (yk, _) in layers.items():
L_x = round(L_y * (nLX-1) / max(1, nLY-1))
x_anchors = [X_gs[i][(mod,AB)][L_x][1] for i in range(len(X_gs))]
x_target = X_t[(mod,AB)][L_x][1]
out[yk] = (x_anchors, x_target)
return out
# ----------------- (f) Procrustes -----------------
def procrustes_pred(X_anchors, Y_anchors, X_target):
"""Per-tensor orthogonal Procrustes (rectangular), avoiding dx*dy materialization.
Cross-covariance M = Xc^T Yc has rank ≤ N. Compute its SVD efficiently:
Xc = U_x S_x V_x^T (compact, V_x^T is (N, dx), V_x is (dx, N))
Yc = U_y S_y V_y^T
Then SVD(M) <- via N-by-N inner SVD; never materialize dx-by-dy.
"""
align = align_X_to_Y(X_anchors, X_target, Y_anchors[0])
out = {}
for yk, (x_anchors, x_target) in align.items():
Y_mat = torch.stack([s[yk].reshape(-1) for s in Y_anchors]) # (N, dy)
X_mat = torch.stack([t.reshape(-1) for t in x_anchors]) # (N, dx)
Ym, Xm = Y_mat.mean(0), X_mat.mean(0)
Yc, Xc = Y_mat - Ym, X_mat - Xm
Ux_, Sx_, Vxh = torch.linalg.svd(Xc, full_matrices=False)
Uy_, Sy_, Vyh = torch.linalg.svd(Yc, full_matrices=False)
C = (Sx_.unsqueeze(1) * Ux_.T) @ (Uy_ * Sy_.unsqueeze(0)) # (N, N)
Uz, Sz, Vzh = torch.linalg.svd(C, full_matrices=False)
scale = (Sz.sum() / (Sx_.pow(2).sum() + 1e-8)).item()
xt_c = x_target.reshape(-1) - Xm
a = Vxh @ xt_c # (N,)
b = (Uz @ Vzh) @ a # (N,)
delta = b @ Vyh # (dy,)
out[yk] = (Ym + scale * delta).reshape(Y_anchors[0][yk].shape)
return out
# ----------------- (g/h/i) top-K nearest anchor selection -----------------
def topk_anchor_idx(X_anchors, X_target, k=8):
"""Return indices of top-K anchors by cosine similarity to X_target."""
keys = sorted(X_anchors[0].keys())
Xa = torch.stack([torch.cat([s[kk].flatten() for kk in keys]) for s in X_anchors]) # (N, dx)
xt = torch.cat([X_target[kk].flatten() for kk in keys])
sims = F.cosine_similarity(Xa, xt.unsqueeze(0), dim=1)
idx = torch.topk(sims, k=min(k, len(X_anchors))).indices.tolist()
return idx, sims.tolist()
def topk_global_ridge(X_anchors, Y_anchors, X_target, k=8, ridge=1e-3):
idx, sims = topk_anchor_idx(X_anchors, X_target, k=k)
Xa = [X_anchors[i] for i in idx]
Ya = [Y_anchors[i] for i in idx]
pred, alpha = sp.global_ridge_pred(Xa, Ya, X_target, ridge=ridge)
return pred, idx, sims
def topk_pertensor_ridge(X_anchors, Y_anchors, X_target, k=8, ridge=1e-3):
idx, sims = topk_anchor_idx(X_anchors, X_target, k=k)
Xa = [X_anchors[i] for i in idx]
Ya = [Y_anchors[i] for i in idx]
pred = sp.pertensor_ridge_pred(Xa, Ya, X_target, ridge=ridge)
return pred, idx, sims
def topk_pertensor_mlp(X_anchors, Y_anchors, X_target, k=12, k_lat=6, epochs=300, lr=1e-3):
idx, sims = topk_anchor_idx(X_anchors, X_target, k=k)
Xa = [X_anchors[i] for i in idx]
Ya = [Y_anchors[i] for i in idx]
pred, _ = sp.pertensor_pca_mlp_pred(Xa, Ya, X_target, k_lat=k_lat, epochs=epochs, lr=lr)
return pred, idx, sims
# ----------------- save / eval -----------------
def save_adapter(sd, dirname, src_template):
d = OUT/"Y_pred"/dirname
d.mkdir(parents=True, exist_ok=True)
shutil.copy(src_template/"adapter_config.json", d/"adapter_config.json")
save_file({k: v.to(torch.bfloat16) for k,v in sd.items()}, str(d/"adapter_model.safetensors"))
return d
@torch.no_grad()
def eval_adapter(adapter_dir, eval_ds, labels, tok, max_n=300):
base = AutoModelForCausalLM.from_pretrained(MODEL_Y, torch_dtype=torch.bfloat16, attn_implementation="eager").cuda()
if adapter_dir is None:
m = base
else:
m = PeftModel.from_pretrained(base, str(adapter_dir))
acc = sp.eval_classification(m, tok, eval_ds, labels, max_n=max_n)
del m, base
if adapter_dir is None: pass
gc.collect(); torch.cuda.empty_cache()
return acc
def cos_sd(sd1, sd2):
keys = sorted(sd1.keys())
a = torch.cat([sd1[k].float().flatten() for k in keys])
b = torch.cat([sd2[k].float().flatten() for k in keys])
return F.cosine_similarity(a.unsqueeze(0), b.unsqueeze(0)).item()
# ----------------- main -----------------
def main():
print("Loading anchors...")
X_anchors = [load_sd(OUT/"X"/n) for n in ANCHOR_NAMES]
Y_anchors = [load_sd(OUT/"Y"/n) for n in ANCHOR_NAMES]
print(f" N={len(X_anchors)} anchors")
tokY = AutoTokenizer.from_pretrained(MODEL_Y)
if tokY.pad_token is None: tokY.pad_token = tokY.eos_token
tokY.padding_side = "left"
out_results = {}
template = OUT/"Y"/ANCHOR_NAMES[0]
for t_name in HELDOUT_NAMES:
print(f"\n=== Held-out task: {t_name} ===")
X_target = load_sd(OUT/"X"/t_name)
Y_oracle = load_sd(OUT/"Y"/t_name)
results = {"cosines": {}, "acc": {}, "selected_anchors": {}}
# build predictions
preds = {}
print(" procrustes ...")
preds["procrustes"] = procrustes_pred(X_anchors, Y_anchors, X_target)
for k_top in [5, 8, 12]:
print(f" topk_global_ridge k={k_top} ...")
p, idx, sims = topk_global_ridge(X_anchors, Y_anchors, X_target, k=k_top)
preds[f"topk{k_top}_global_ridge"] = p
results["selected_anchors"][f"topk{k_top}"] = [ANCHOR_NAMES[i] for i in idx]
print(f" selected: {[ANCHOR_NAMES[i] for i in idx]}")
print(f" topk_pertensor_ridge k={k_top} ...")
p, _, _ = topk_pertensor_ridge(X_anchors, Y_anchors, X_target, k=k_top)
preds[f"topk{k_top}_pertensor_ridge"] = p
print(" topk12_pertensor_mlp ...")
p, _, _ = topk_pertensor_mlp(X_anchors, Y_anchors, X_target, k=12, k_lat=6, epochs=300)
preds["topk12_pertensor_mlp"] = p
# save and eval
_, eval_ds, labels = sp.build_task(t_name, n_train=10, n_eval=EVAL_PER_TASK)
# cosines
for n, sd in preds.items():
results["cosines"][n] = cos_sd(sd, Y_oracle)
# accuracies
results["acc"]["base_Y"] = eval_adapter(None, eval_ds, labels, tokY)
print(f" base_Y={results['acc']['base_Y']:.4f}")
for n, sd in preds.items():
d = save_adapter(sd, f"{t_name}_{n}", template)
acc = eval_adapter(d, eval_ds, labels, tokY)
results["acc"][n] = acc
print(f" {n:32s} cos={results['cosines'][n]:.4f} acc={acc:.4f}")
results["acc"]["oracle_Y"] = eval_adapter(OUT/"Y"/t_name, eval_ds, labels, tokY)
print(f" oracle_Y={results['acc']['oracle_Y']:.4f}")
out_results[t_name] = results
# aggregate
methods = ["base_Y","procrustes","topk5_global_ridge","topk5_pertensor_ridge",
"topk8_global_ridge","topk8_pertensor_ridge",
"topk12_global_ridge","topk12_pertensor_ridge","topk12_pertensor_mlp","oracle_Y"]
avg = {m: float(np.mean([out_results[t]["acc"][m] for t in HELDOUT_NAMES])) for m in methods}
print("\n=== AVG (new methods) ===")
for m in methods: print(f" {m:32s} {avg[m]:.4f}")
out_results["avg"] = avg
(OUT/"results_phaseA.json").write_text(json.dumps(out_results, indent=2, default=float))
if __name__ == "__main__":
main()
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