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+ #!/usr/bin/env python3
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+ """
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+ Is the recurrence input sp^m related to its output sp^{m+1}? (= is sp^m -> sp^{m+1}
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+ a learnable, amortizable map?) Each sp^j is optimized INDEPENDENTLY from the FIXED
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+ init_sp anchor (deterministic; NO chaining -> no warm-start proximity artifact), so the
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+ dCor reflects genuine shared-history structure, not closeness-by-construction.
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+
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+ Measured over consecutive pairs pooled across many samples (cross-sample = amortization angle):
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+ dCor(sp^m , sp^{m+1}) -- does the prev SP predict the next SP at all?
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+ dCor([sp^m;chunk_m], sp^{m+1}) -- does the actual recurrence INPUT predict the output?
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+ vs shuffled null. PCA-reduced (N>>dim -> clean null).
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+ """
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+ import sys
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+ sys.path.insert(0, "/workspace")
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+ import argparse, json
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+ import torch
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+ import torch.nn.functional as F
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+ from transformers import AutoModelForCausalLM, AutoTokenizer
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+ from transformers.cache_utils import DynamicCache
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+ from train_qwen_distill import (HyperNetwork, Config, extract_qa, CJK_RE, TOOLCALL_RE,
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+ soft_prompt_stability_loss)
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+
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+
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+ def dcor(X, Y):
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+ a = torch.cdist(X, X); b = torch.cdist(Y, Y)
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+ A = a - a.mean(0, keepdim=True) - a.mean(1, keepdim=True) + a.mean()
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+ B = b - b.mean(0, keepdim=True) - b.mean(1, keepdim=True) + b.mean()
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+ dcov2 = (A * B).mean(); dvx = (A * A).mean(); dvy = (B * B).mean()
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+ return float((dcov2.clamp(min=0) / (dvx.sqrt() * dvy.sqrt()).clamp(min=1e-12)).sqrt().item())
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+
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+
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+ def zscore(X): return (X - X.mean(0, keepdim=True)) / X.std(0, keepdim=True).clamp(min=1e-6)
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+
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+
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+ def pca(X, k):
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+ Xc = X - X.mean(0, keepdim=True)
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+ U, S, Vh = torch.linalg.svd(Xc, full_matrices=False)
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+ return Xc @ Vh[:min(k, Vh.size(0))].T
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+
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+
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+ @torch.no_grad()
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+ def teacher_dist(llm, embed, q, valid_q, a, max_q, max_a, q_lens, device, dtype):
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+ B = q.size(0); cache = DynamicCache()
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+ qe = (embed(q[:, :max_q]) * valid_q.unsqueeze(-1)).to(dtype)
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+ oq = llm(inputs_embeds=qe, attention_mask=valid_q, past_key_values=cache, use_cache=True,
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+ cache_position=torch.arange(max_q, device=device))
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+ t0 = oq.logits[torch.arange(B, device=device), (q_lens - 1).clamp(min=0), :]
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+ ae = embed(a[:, :max_a]).to(dtype)
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+ pos = torch.arange(max_q, max_q + max_a, device=device)
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+ attn = torch.cat([valid_q, torch.ones(B, max_a, dtype=torch.long, device=device)], 1)
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+ oa = llm(inputs_embeds=ae, attention_mask=attn, past_key_values=cache,
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+ position_ids=pos.unsqueeze(0).expand(B, -1), use_cache=True, cache_position=pos)
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+ V = oa.logits.size(-1); T = torch.empty(B, max_a, V, dtype=oa.logits.dtype, device=device)
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+ T[:, 0] = t0; T[:, 1:] = oa.logits[:, :max_a - 1]; return T
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+
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+
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+ @torch.no_grad()
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+ def prefill(llm, embed, q, valid_q, max_q, device, dtype):
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+ cache = DynamicCache()
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+ llm(inputs_embeds=(embed(q[:, :max_q]) * valid_q.unsqueeze(-1)).to(dtype),
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+ attention_mask=valid_q, past_key_values=cache, use_cache=True,
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+ cache_position=torch.arange(max_q, device=device))
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+ return cache
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+
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+
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+ def opt_chunk_sp(llm, embed, q, valid_q, a, a_lens, teacher, init_sp, c0, c1, max_q, device,
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+ dtype, cfg, max_norm, raw_window, steps, lr, S, T):
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+ """fixed-init independent optimization of the SP for predicting chunk [c0:c1]."""
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+ B = q.size(0); cur_C = c1 - c0; R = min(c0, raw_window)
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+ raw = embed(a[:, c0 - R:c0]).to(dtype) if R > 0 else None
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+ chunk = embed(a[:, c0:c1]).to(dtype)
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+ n_new = S + R + cur_C
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+ cpos = torch.arange(max_q, max_q + n_new, device=device)
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+ attn = torch.cat([valid_q, torch.ones(B, n_new, dtype=torch.long, device=device)], 1)
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+ t_p = F.softmax(teacher[:, c0:c1].float() / T, dim=-1)
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+ posv = torch.arange(cur_C, device=device)
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+ vf = ((c0 + posv).unsqueeze(0) < a_lens.unsqueeze(1)).float()
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+ valid = (c0 < a_lens)
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+ sp = init_sp.expand(B, -1, -1).clone().requires_grad_(True)
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+ opt = torch.optim.Adam([sp], lr=lr)
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+ best_kl = torch.full((B,), float("inf"), device=device); best = sp.detach().clone()
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+ for _ in range(steps):
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+ opt.zero_grad(set_to_none=True)
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+ n = sp.norm(dim=-1, keepdim=True).clamp(min=1e-6)
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+ sc = torch.where(n > max_norm, max_norm / n, torch.ones_like(n))
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+ spc = (sp * sc).to(dtype)
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+ x = torch.cat([spc, raw, chunk], 1) if R > 0 else torch.cat([spc, chunk], 1)
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+ cache = prefill(llm, embed, q, valid_q, max_q, device, dtype)
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+ o = llm(inputs_embeds=x, attention_mask=attn, past_key_values=cache,
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+ position_ids=cpos.unsqueeze(0).expand(B, -1), use_cache=True, cache_position=cpos)
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+ lp = F.log_softmax(o.logits[:, S - 1 + R:S - 1 + R + cur_C].float() / T, dim=-1)
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+ kl = ((t_p * (t_p.clamp_min(1e-9).log() - lp)).sum(-1) * vf).sum(1) / vf.sum(1).clamp(min=1) * (T * T)
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+ loss = (kl * valid.float()).sum() / valid.float().sum().clamp(min=1)
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+ (loss + soft_prompt_stability_loss(sp, cfg)).backward(); opt.step()
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+ with torch.no_grad():
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+ imp = (kl < best_kl) & valid
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+ if imp.any():
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+ n2 = sp.norm(dim=-1, keepdim=True).clamp(min=1e-6)
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+ sc2 = torch.where(n2 > max_norm, max_norm / n2, torch.ones_like(n2))
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+ best[imp] = (sp * sc2)[imp].detach(); best_kl[imp] = kl[imp]
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+ return best.detach(), valid, best_kl
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+
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+
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+ def load_samples(path, tok, cfg, n, min_chars, mal, min_tok):
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+ out = []
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+ with open(path) as f:
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+ for line in f:
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+ if len(out) >= n: break
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+ line = line.strip()
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+ if not line: continue
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+ try: row = json.loads(line)
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+ except Exception: continue
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+ q, a = extract_qa(row, cfg)
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+ if not q or not a or len(a) < min_chars: continue
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+ if CJK_RE.search(a) or CJK_RE.search(q) or TOOLCALL_RE.search(a) or TOOLCALL_RE.search(q): continue
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+ qi = tok(q, max_length=cfg.max_query_len, truncation=True, add_special_tokens=True).input_ids
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+ ai = tok(a, max_length=mal, truncation=True, add_special_tokens=False).input_ids
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+ if len(ai) < min_tok: continue
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+ out.append((qi, ai))
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+ out.sort(key=lambda x: len(x[1])); return out
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+
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+
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+ def main():
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+ p = argparse.ArgumentParser()
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+ p.add_argument("--ckpt", default="/workspace/hypernet_qwen/hn_step7750.pt")
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+ p.add_argument("--base_model", default="deepseek-ai/DeepSeek-R1-Distill-Qwen-1.5B")
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+ p.add_argument("--data", default="/workspace/dolphin_subset.jsonl")
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+ p.add_argument("--n_samples", type=int, default=24)
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+ p.add_argument("--skip", type=int, default=300)
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+ p.add_argument("--max_ans_len", type=int, default=512)
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+ p.add_argument("--batch", type=int, default=12)
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+ p.add_argument("--chunk_size", type=int, default=64)
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+ p.add_argument("--raw_window", type=int, default=32)
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+ p.add_argument("--steps", type=int, default=100)
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+ p.add_argument("--lr", type=float, default=0.03)
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+ p.add_argument("--pca_k", type=int, default=24)
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+ args = p.parse_args()
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+ device = torch.device("cuda"); dtype = torch.bfloat16
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+ cfg = Config(); cfg.base_model = args.base_model
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+ C = args.chunk_size; S = cfg.num_soft_tokens; T = 1.0
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+ print("Loading frozen base...", flush=True)
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+ tok = AutoTokenizer.from_pretrained(cfg.base_model)
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+ if tok.pad_token is None: tok.pad_token = tok.eos_token
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+ llm = AutoModelForCausalLM.from_pretrained(cfg.base_model, dtype=dtype, device_map="cuda",
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+ attn_implementation="sdpa")
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+ llm.config.use_cache = True
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+ for prm in llm.parameters(): prm.requires_grad_(False)
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+ llm.eval(); embed = llm.get_input_embeddings(); cfg.hidden_dim = llm.config.hidden_size
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+ with torch.no_grad():
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+ ids = torch.randint(0, embed.weight.size(0), (512,), device=device)
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+ cfg.target_norm = embed(ids).float().norm(dim=-1).mean().item()
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+ max_norm = cfg.target_norm * 3.0
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+ hn = HyperNetwork(cfg).to(dtype=torch.float32, device=device); hn.eval()
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+ ckd = torch.load(args.ckpt, map_location="cpu", weights_only=False)
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+ hn.load_state_dict(ckd["hypernet"], strict=False)
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+ init_sp = hn.init_sp.detach().clone()
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+ alls = load_samples(args.data, tok, cfg, args.skip + args.n_samples, 1500, args.max_ans_len, 400)
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+ samples = alls[args.skip:args.skip + args.n_samples]
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+ print(f" {len(samples)} samples, fixed-init independent SP per chunk, steps={args.steps}\n", flush=True)
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+
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+ spm, spm1, chunkm = [], [], [] # sp^m, sp^{m+1}, chunk_m (pooled)
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+ B = args.batch; kl_all = []
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+ for bi in range(0, len(samples), B):
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+ chunk_samples = samples[bi:bi + B]; b = len(chunk_samples)
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+ max_q = max(len(s[0]) for s in chunk_samples); max_a = max(len(s[1]) for s in chunk_samples)
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+ q = torch.zeros(b, max_q, dtype=torch.long, device=device)
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+ a = torch.zeros(b, max_a, dtype=torch.long, device=device)
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+ ql = torch.zeros(b, dtype=torch.long, device=device); al = torch.zeros(b, dtype=torch.long, device=device)
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+ for i, (qi, ai) in enumerate(chunk_samples):
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+ q[i, :len(qi)] = torch.tensor(qi, device=device); ql[i] = len(qi)
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+ a[i, :len(ai)] = torch.tensor(ai, device=device); al[i] = len(ai)
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+ valid_q = (torch.arange(max_q, device=device).unsqueeze(0) < ql.unsqueeze(1)).long()
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+ teacher = teacher_dist(llm, embed, q, valid_q, a, max_q, max_a, ql, device, dtype)
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+ n_chunks = (max_a + C - 1) // C
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+ sp_by_chunk = {}
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+ for j in range(1, n_chunks):
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+ c0 = j * C; c1 = min(c0 + C, max_a)
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+ if c1 - c0 < 4: break
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+ sp_j, valid, klj = opt_chunk_sp(llm, embed, q, valid_q, a, al, teacher, init_sp,
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+ c0, c1, max_q, device, dtype, cfg, max_norm,
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+ args.raw_window, args.steps, args.lr, S, T)
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+ sp_by_chunk[j] = (sp_j, valid)
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+ kl_all.append(klj[valid].mean().item() if valid.any() else float('nan'))
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+ # consecutive pairs
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+ for j in sorted(sp_by_chunk):
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+ if j + 1 not in sp_by_chunk: continue
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+ spj, vj = sp_by_chunk[j]; spj1, vj1 = sp_by_chunk[j + 1]
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+ c0 = j * C; c1 = min(c0 + C, max_a)
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+ ce = embed(a[:, c0:c1]).float().mean(1) # chunk_m pooled
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+ both = vj & vj1
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+ for i in range(b):
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+ if bool(both[i]):
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+ spm.append(spj[i].mean(0).float().cpu())
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+ spm1.append(spj1[i].mean(0).float().cpu())
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+ chunkm.append(ce[i].cpu())
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+ del teacher; torch.cuda.empty_cache()
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+ print(f" batch {bi//B+1} done, pairs so far={len(spm)}", flush=True)
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+
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+ Xm = zscore(torch.stack(spm).to(device)); Xm1 = zscore(torch.stack(spm1).to(device))
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+ Xc = zscore(torch.stack(chunkm).to(device))
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+ N = Xm.size(0); K = args.pca_k; perm = torch.randperm(N, device=device)
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+ Xm_r, Xm1_r, Xc_r = pca(Xm, K), pca(Xm1, K), pca(Xc, K)
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+ Xin_r = pca(torch.cat([Xm, Xc], 1), K)
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+ print(f"\nN consecutive pairs = {N} | mean opt KL = {sum(x for x in kl_all if x==x)/max(len(kl_all),1):.4f}")
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+ print("=" * 64)
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+ print(f"dCor(sp^m, sp^m+1) = {dcor(Xm_r, Xm1_r):.4f} (null {dcor(Xm_r, Xm1_r[perm]):.4f})")
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+ print(f"dCor([sp^m;chunk],sp^m+1) = {dcor(Xin_r, Xm1_r):.4f} (null {dcor(Xin_r, Xm1_r[perm]):.4f})")
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+ print(f"dCor(chunk_m, sp^m+1) = {dcor(Xc_r, Xm1_r):.4f} (null {dcor(Xc_r, Xm1_r[perm]):.4f})")
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+ print("=" * 64)
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+ print(">>null => the recurrence INPUT predicts the next SP => recurrence is learnable/amortizable.")
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+
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+
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+ if __name__ == "__main__":
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+ main()