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| """C. Multi-GPU top-K retrieval and the three-channel union. | |
| WHY THIS IS WORTH GPU TIME. Measured ceilings on model-4's val, with a perfect decision layer: | |
| top-64 candidates (what ships) 0.9953 | |
| top-100 candidates 0.9964 | |
| union of three retrievers' top-100 0.9976 | |
| The union is worth +0.0023 of headroom over what ships. That is larger than every decision-side | |
| idea left on the list, and unlike them it cannot be had on CPU. | |
| HOW THE GPUs ARE USED | |
| * Per country. Zero true pairs cross a country boundary in train, so a cross-country score | |
| is arithmetic that can only produce a false positive. Blocking by country cuts the work | |
| to sum(share^2) = 0.445 of the full matrix - a 2.2x saving before any other optimisation. | |
| * Resident pool. A 96 GB card holds an entire country's pool in fp16 (10.3M x 1024 x 2 = | |
| 21 GB for the large channels, 7.9 GB for e5-small). When it fits, the pool is uploaded | |
| once and every query chunk reuses it, so the run is pure matmul with no PCIe traffic. | |
| `resident="auto"` measures free memory and decides. | |
| * Streaming fallback. When it does not fit, pool blocks are staged through a pinned host | |
| buffer on a second CUDA stream, double-buffered, so the copy for block i+1 overlaps the | |
| matmul for block i. | |
| * Query sharding. `--shard i --nshards n` splits the QUERY set, not the pool, so the two | |
| GPUs never need to exchange anything and a shard can be re-run alone after a failure. | |
| SHARED-BOX MANNERS. This box has other users on it. Run it under `nice -n 19 ionice -c3` and | |
| leave `--pblock` at the default; an earlier memmap-heavy job at load 37 made SSH unreachable | |
| for everyone. | |
| """ | |
| from __future__ import annotations | |
| import os | |
| import time | |
| import numpy as np | |
| def _load(path: str) -> np.ndarray: | |
| """mmap a .npy. NOT np.memmap: a .npy carries a 128-byte header that np.memmap maps as | |
| data, which shifts every row and fails a reshape by exactly the header size in elements.""" | |
| return np.load(path, mmap_mode="r") | |
| def _free_bytes(dev: int) -> int: | |
| import torch | |
| free, _ = torch.cuda.mem_get_info(dev) | |
| return free | |
| def topk_country(qmat: np.ndarray, pmat: np.ndarray, k: int, device: str, | |
| qchunk: int = 4096, pblock: int = 262_144, resident: str = "auto", | |
| log_every: int = 20): | |
| """Top-k over one country. Returns (idx[nq,k] int64, val[nq,k] float32). | |
| Embeddings are assumed L2-normalised, so the inner product is cosine. If they are not, | |
| normalise them before calling - silently normalising here would hide a mismatch between | |
| the matrix on disk and the model that produced it. | |
| """ | |
| import torch | |
| torch.backends.cuda.matmul.allow_tf32 = True | |
| torch.backends.cudnn.allow_tf32 = True | |
| dev = torch.device(device) | |
| nq, d = qmat.shape | |
| npool = pmat.shape[0] | |
| k = min(k, npool) | |
| want = npool * d * 2 | |
| if resident == "auto": | |
| use_resident = want < _free_bytes(dev.index or 0) * 0.55 | |
| else: | |
| use_resident = resident == "yes" | |
| # The pool is ALWAYS walked in blocks, whichever mode is chosen. `resident` decides only | |
| # where a block is read from - a GPU-resident copy of the pool, or the host mmap. It does | |
| # not mean "one matmul over the whole pool": the score matrix for a 4,096-query chunk | |
| # against a 6M-row country pool would be 49 GiB on its own, dwarfing the embeddings. | |
| P_gpu = None | |
| if use_resident: | |
| P_gpu = torch.empty((npool, d), dtype=torch.float16, device=dev) | |
| for ps in range(0, npool, pblock): # staged upload, once | |
| pe = min(ps + pblock, npool) | |
| P_gpu[ps:pe] = torch.from_numpy(np.ascontiguousarray(pmat[ps:pe])).to(dev, torch.float16) | |
| print(f" pool resident on {device}: {want/2**30:.1f} GiB") | |
| else: | |
| print(f" pool streamed on {device} ({want/2**30:.1f} GiB vs free " | |
| f"{_free_bytes(dev.index or 0)/2**30:.1f} GiB), pblock={pblock:,}") | |
| blocks = [(ps, min(ps + pblock, npool)) for ps in range(0, npool, pblock)] | |
| best_i = torch.empty((nq, k), dtype=torch.int64, device=dev) | |
| best_v = torch.full((nq, k), -1e4, dtype=torch.float16, device=dev) | |
| copy_stream = torch.cuda.Stream(device=dev) if not use_resident else None | |
| main = torch.cuda.current_stream(dev) | |
| t0 = time.time() | |
| for ci, qs in enumerate(range(0, nq, qchunk)): | |
| qe = min(qs + qchunk, nq) | |
| Q = torch.from_numpy(np.ascontiguousarray(qmat[qs:qe])).to(dev, torch.float16) | |
| bi = torch.zeros((qe - qs, k), dtype=torch.int64, device=dev) | |
| bv = torch.full((qe - qs, k), -1e4, dtype=torch.float16, device=dev) | |
| staged = staged_off = staged_evt = None | |
| for bidx in range(len(blocks) + 1): | |
| nxt = nxt_off = nxt_evt = None | |
| if bidx < len(blocks): | |
| ps, pe = blocks[bidx] | |
| if use_resident: | |
| nxt, nxt_off = P_gpu[ps:pe], ps | |
| else: | |
| # Prefetch block bidx while block bidx-1 is still being multiplied. | |
| with torch.cuda.stream(copy_stream): | |
| host = torch.from_numpy(np.ascontiguousarray(pmat[ps:pe])).pin_memory() | |
| nxt = host.to(dev, torch.float16, non_blocking=True) | |
| nxt_evt = torch.cuda.Event() | |
| nxt_evt.record(copy_stream) | |
| nxt_off = ps | |
| if staged is not None: | |
| if staged_evt is not None: | |
| main.wait_event(staged_evt) | |
| s = Q @ staged.T # [qc, block] fp16 | |
| v, i = torch.topk(s, min(k, s.shape[1]), dim=1) | |
| bv, bi = _merge(bv, bi, v, i + staged_off, k) | |
| del s | |
| if not use_resident: | |
| del staged | |
| staged, staged_off, staged_evt = nxt, nxt_off, nxt_evt | |
| best_v[qs:qe], best_i[qs:qe] = bv, bi | |
| if log_every and ci % log_every == 0: | |
| done = qe / nq | |
| el = time.time() - t0 | |
| print(f" {qe:>9,}/{nq:,} ({done:6.1%}) {el:6.0f}s " | |
| f"eta {el/max(done, 1e-9) - el:6.0f}s", flush=True) | |
| del P_gpu | |
| torch.cuda.empty_cache() | |
| return best_i.cpu().numpy(), best_v.float().cpu().numpy() | |
| def _merge(bv, bi, v, i, k): | |
| import torch | |
| cv = torch.cat([bv, v], dim=1) | |
| ci = torch.cat([bi, i], dim=1) | |
| nv, pos = torch.topk(cv, k, dim=1) | |
| return nv, torch.gather(ci, 1, pos) | |
| def run_channel(qmat_path: str, pmat_path: str, q_country: np.ndarray, p_country: np.ndarray, | |
| k: int, device: str, shard: int = 0, nshards: int = 1, | |
| max_queries: int | None = None, **kw): | |
| """Retrieve top-k for one channel, one query shard, blocking by country. | |
| Returns a dict with flat arrays: q (global query row), c (global pool row), s (score), | |
| r (rank within the channel). Global rows, not per-country rows - a per-country index that | |
| escapes into a later stage is the kind of bug that produces a plausible wrong answer. | |
| """ | |
| Q = _load(qmat_path) | |
| P = _load(pmat_path) | |
| assert Q.shape[1] == P.shape[1], f"dim mismatch {Q.shape} vs {P.shape}" | |
| assert len(q_country) == Q.shape[0], "query country vector does not match the matrix" | |
| assert len(p_country) == P.shape[0], "pool country vector does not match the matrix" | |
| qs_all, cs_all, ss_all, rs_all = [], [], [], [] | |
| for country in sorted(set(q_country.tolist())): | |
| qrows = np.flatnonzero(q_country == country) | |
| qrows = qrows[shard::nshards] | |
| if max_queries: | |
| qrows = qrows[:max_queries] # debug path only | |
| prows = np.flatnonzero(p_country == country) | |
| if len(qrows) == 0 or len(prows) == 0: | |
| continue | |
| print(f" {country}: {len(qrows):,} queries x {len(prows):,} pool", flush=True) | |
| qm = np.ascontiguousarray(Q[qrows]) | |
| pm = P[prows] | |
| idx, val = topk_country(qm, pm, k, device, **kw) | |
| n, kk = idx.shape | |
| qs_all.append(np.repeat(qrows, kk)) | |
| cs_all.append(prows[idx.ravel()]) | |
| ss_all.append(val.ravel()) | |
| rs_all.append(np.tile(np.arange(kk, dtype=np.int16), n)) | |
| if not qs_all: | |
| return {k_: np.array([]) for k_ in ("q", "c", "s", "r")} | |
| return { | |
| "q": np.concatenate(qs_all).astype(np.int32), | |
| "c": np.concatenate(cs_all).astype(np.int32), | |
| "s": np.concatenate(ss_all).astype(np.float32), | |
| "r": np.concatenate(rs_all).astype(np.int16), | |
| } | |
| def union(frames: dict, rrf_k: int = 60): | |
| """Union per-channel results into one candidate table with per-channel evidence. | |
| `frames` maps channel name -> the dict from run_channel. The output keeps each channel's | |
| score and rank as separate columns, plus Reciprocal Rank Fusion. Keeping the per-channel | |
| columns matters: a pair found by all three is different evidence from a pair found by one, | |
| and collapsing to a single fused score throws that distinction away before the stacker | |
| ever sees it. | |
| """ | |
| import pandas as pd | |
| out = None | |
| for name, f in frames.items(): | |
| if len(f["q"]) == 0: | |
| continue | |
| d = pd.DataFrame({"q": f["q"], "c": f["c"], | |
| f"s_{name}": f["s"], f"r_{name}": f["r"]}) | |
| d = d.sort_values(f"s_{name}", ascending=False).drop_duplicates(["q", "c"]) | |
| out = d if out is None else out.merge(d, on=["q", "c"], how="outer") | |
| if out is None: | |
| return None | |
| rrf = np.zeros(len(out), dtype=np.float32) | |
| nfound = np.zeros(len(out), dtype=np.int8) | |
| for name in frames: | |
| col = f"r_{name}" | |
| if col not in out: | |
| continue | |
| r = out[col].to_numpy() | |
| ok = ~np.isnan(r) | |
| rrf[ok] += 1.0 / (rrf_k + r[ok]) | |
| nfound[ok] += 1 | |
| out[col] = np.where(ok, r, 9999).astype(np.int16) | |
| out[f"s_{name}"] = out[f"s_{name}"].fillna(0.0).astype(np.float32) | |
| out["rrf"] = rrf | |
| out["n_channels"] = nfound | |
| return out.reset_index(drop=True) | |