#!/usr/bin/env python3 """ OLM v3 — Oscillator Language Model with TRAINED oscillators. v1/v2 kept the oscillator bank frozen random and only fit a linear readout. v3 trains the physics itself: each hidden unit is a damped driven oscillator (position h, velocity z) and gradient descent shapes its frequencies (gamma), damping (eps), couplings (W, Z) and drive (U). This is the coRNN idea (Rusch & Mishra 2021): oscillator dynamics as the sequence engine instead of attention. Still ZERO pre-training: it learns from one novel, from scratch. Pure NumPy. Hand-derived backprop-through-time. ~150k params at H=256. "LLM function" comes from the data format: the book is turned into ?keyword;original sentence\n lines, so the model learns that the keyword after '?' steers what the sentence after ';' is about. At chat time we pick the rarest known word of the user's message as the keyword — prompt-conditioned generation. python3 olm.py --train --save olm.npz # ~10 min on CPU python3 olm.py --load olm.npz # chat REPL """ import argparse import re import sys import time from collections import Counter import numpy as np CHARS = "\n abcdefghijklmnopqrstuvwxyz.,;'-?!\"" C2I = {c: i for i, c in enumerate(CHARS)} V = len(CHARS) F32 = np.float32 # ---------------------------------------------------------------- data def clean(text: str) -> str: text = text.replace("’", "'").replace("‘", "'").lower() text = text.replace("\r", " ").replace("\n", " ").replace("\t", " ") text = re.sub(r"[^a-z .,;'\-?!\"]", " ", text) return re.sub(r" +", " ", text) def strip_gutenberg(raw: str) -> str: start = raw.find("Call me Ishmael") end = raw.find("*** END OF THE PROJECT") if start != -1: raw = raw[start: end if end != -1 else None] return re.sub(r"^CHAPTER .*$", " ", raw, flags=re.MULTILINE) def build_corpus(path: str, seed: int = 0): """Turn the novel into '?keyword;sentence\\n' lines + word frequencies.""" text = clean(strip_gutenberg(open(path, encoding="utf-8", errors="ignore").read())) sentences = [s.strip() for s in re.split(r"(?<=[.?!])", text)] sentences = [s for s in sentences if 4 <= len(s.split()) <= 45] freq = Counter(w for s in sentences for w in re.findall(r"[a-z']+", s)) lines = [] kwc = Counter() for s in sentences: words = [w for w in re.findall(r"[a-z']+", s) if len(w) >= 3 and freq[w] >= 8] if not words: continue kw = min(words, key=lambda w: freq[w]) # rarest usable word = topic kwc[kw] += 1 lines.append(f"?{kw};{s}\n") rng = np.random.default_rng(seed) rng.shuffle(lines) return "".join(lines), freq, kwc # ---------------------------------------------------------------- model def init_params(H: int, seed: int = 0): rng = np.random.default_rng(seed) s = 1.0 / np.sqrt(H) return { "W": rng.normal(0, s, (H, H)).astype(F32), # position coupling "Z": rng.normal(0, s, (H, H)).astype(F32), # velocity coupling "U": rng.normal(0, 0.5, (V, H)).astype(F32), # char drive "b": np.zeros(H, F32), "gamma": np.ones(H, F32), # restoring force (freq^2) "eps": np.ones(H, F32), # damping "Wo": rng.normal(0, s, (H, V)).astype(F32), "bo": np.zeros(V, F32), } def forward(p, h, z, X, Y, dt): """One BPTT window. X,Y: (B,T) int ids. Returns loss, caches, final state.""" B, T = X.shape caches, loss = [], 0.0 for t in range(T): h0, z0 = h, z a = h0 @ p["W"] + z0 @ p["Z"] + p["U"][X[:, t]] + p["b"] c = np.tanh(a) z = z0 + dt * (c - p["gamma"] * h0 - p["eps"] * z0) h = h0 + dt * z logits = h @ p["Wo"] + p["bo"] logits -= logits.max(axis=1, keepdims=True) e = np.exp(logits) probs = e / e.sum(axis=1, keepdims=True) loss -= np.log(probs[np.arange(B), Y[:, t]] + 1e-9).sum() caches.append((h0, z0, c, probs, X[:, t], Y[:, t], h)) return loss / (B * T), caches, h, z def backward(p, caches, dt): B = caches[0][0].shape[0] T = len(caches) g = {k: np.zeros_like(v) for k, v in p.items()} gh = np.zeros_like(caches[0][0]) gz = np.zeros_like(gh) for t in reversed(range(T)): h0, z0, c, probs, x, y, h = caches[t] # output head dlog = probs.copy() dlog[np.arange(B), y] -= 1.0 dlog /= (B * T) g["Wo"] += h.T @ dlog g["bo"] += dlog.sum(0) gh = gh + dlog @ p["Wo"].T # h = h0 + dt*z gz = gz + dt * gh # z = z0 + dt*(c - gamma*h0 - eps*z0) gc = dt * gz g["gamma"] += (-dt * gz * h0).sum(0) g["eps"] += (-dt * gz * z0).sum(0) gh_prev = gh - dt * (p["gamma"] * gz) gz_prev = gz * (1.0 - dt * p["eps"]) # a = h0@W + z0@Z + U[x] + b ; c = tanh(a) ga = gc * (1.0 - c * c) g["W"] += h0.T @ ga g["Z"] += z0.T @ ga np.add.at(g["U"], x, ga) g["b"] += ga.sum(0) gh = gh_prev + ga @ p["W"].T gz = gz_prev + ga @ p["Z"].T return g def gradcheck(): """Finite-difference check of the hand-derived BPTT gradients.""" np.random.seed(1) H, B, T, dt = 6, 2, 4, 0.5 p = {k: v.astype(np.float64) for k, v in init_params(H, seed=3).items()} X = np.random.randint(0, V, (B, T)) Y = np.random.randint(0, V, (B, T)) h = np.random.randn(B, H) * 0.1 z = np.random.randn(B, H) * 0.1 loss, caches, _, _ = forward(p, h, z, X, Y, dt) g = backward(p, caches, dt) worst = 0.0 for name in p: flat = p[name].reshape(-1) for idx in np.random.choice(flat.size, min(5, flat.size), replace=False): eps_ = 1e-5 old = flat[idx] flat[idx] = old + eps_ lp, _, _, _ = forward(p, h, z, X, Y, dt) flat[idx] = old - eps_ lm, _, _, _ = forward(p, h, z, X, Y, dt) flat[idx] = old num = (lp - lm) / (2 * eps_) ana = g[name].reshape(-1)[idx] rel = abs(num - ana) / max(1e-8, abs(num) + abs(ana)) worst = max(worst, rel) print(f"gradcheck worst relative error: {worst:.2e} " f"({'PASS' if worst < 1e-4 else 'FAIL'})") return worst < 1e-4 # ---------------------------------------------------------------- training def adam_step(p, g, m, v, t, lr, clip=1.0): norm = np.sqrt(sum(float((gi ** 2).sum()) for gi in g.values())) scale = min(1.0, clip / (norm + 1e-8)) b1, b2, e = 0.9, 0.999, 1e-8 for k in p: gk = g[k] * scale m[k] = b1 * m[k] + (1 - b1) * gk v[k] = b2 * v[k] + (1 - b2) * gk * gk mh = m[k] / (1 - b1 ** t) vh = v[k] / (1 - b2 ** t) p[k] -= (lr * mh / (np.sqrt(vh) + e)).astype(F32) # keep the physics stable: restoring force and damping stay positive np.clip(p["gamma"], 0.05, 4.0, out=p["gamma"]) np.clip(p["eps"], 0.05, 4.0, out=p["eps"]) return norm def train(args): corpus, freq, kwc = build_corpus(args.text) ids = np.array([C2I[c] for c in corpus], dtype=np.int64) n_val = 20_000 tr, va = ids[:-n_val], ids[-n_val:] B, T, H, dt = args.batch, args.seq, args.hidden, args.dt p = init_params(H) n_params = sum(x.size for x in p.values()) print(f"OLM v3 | hidden {H} | params {n_params:,} " f"({n_params * 4 / 1e6:.2f} MB) | corpus {len(ids):,} chars", flush=True) L = len(tr) // B streams = tr[: B * L].reshape(B, L) m = {k: np.zeros_like(x) for k, x in p.items()} v = {k: np.zeros_like(x) for k, x in p.items()} step = 0 for ep in range(1, args.epochs + 1): lr = args.lr * (0.5 ** max(0, ep - args.epochs + 6) if ep > args.epochs - 6 else 1.0) h = np.zeros((B, H), F32) z = np.zeros((B, H), F32) tot = nb = 0 t0 = time.time() for s in range(0, L - T - 1, T): X, Y = streams[:, s:s + T], streams[:, s + 1:s + T + 1] loss, caches, h, z = forward(p, h, z, X, Y, dt) g = backward(p, caches, dt) step += 1 adam_step(p, g, m, v, step, lr) tot += loss nb += 1 vl, vacc = evaluate(p, va, dt, H) print(f"epoch {ep:2d} | train loss {tot / nb:.3f} | " f"val loss {vl:.3f} | val acc {vacc:.1%} | " f"{time.time() - t0:.0f}s", flush=True) if ep % 4 == 0 or ep == args.epochs: print(" sample:", generate(p, dt, "?whale;", seed=ep)[:110], flush=True) save(args.save, p, dt, freq, kwc) print(f"saved to {args.save}", flush=True) def evaluate(p, ids, dt, H, B=50): L = len(ids) // B st = ids[: B * L].reshape(B, L) h = np.zeros((B, H), F32) z = np.zeros((B, H), F32) loss, caches, _, _ = forward(p, h, z, st[:, :-1][:, :400], st[:, 1:][:, :400], dt) probs_hits = 0 tot = 0 for (h0, z0, c, probs, x, y, hh) in caches[50:]: # skip washout probs_hits += int((probs.argmax(1) == y).sum()) tot += len(y) return loss, probs_hits / tot # ---------------------------------------------------------------- generation def step_one(p, h, z, cid, dt): a = h @ p["W"] + z @ p["Z"] + p["U"][cid] + p["b"] c = np.tanh(a) z = z + dt * (c - p["gamma"] * h - p["eps"] * z) h = h + dt * z return h, z, h @ p["Wo"] + p["bo"] def generate(p, dt, prime, max_len=300, temperature=0.8, top_k=8, seed=None): rng = np.random.default_rng(seed) H = p["b"].size h = np.zeros((1, H), F32) z = np.zeros((1, H), F32) logits = None for ch in prime: h, z, logits = step_one(p, h, z, np.array([C2I.get(ch, 1)]), dt) out = [] for _ in range(max_len): lg = logits[0] / temperature lg -= lg.max() pr = np.exp(lg) if top_k and top_k < V: cut = np.partition(pr, -top_k)[-top_k] pr = np.where(pr >= cut, pr, 0.0) pr /= pr.sum() nxt = int(rng.choice(V, p=pr)) if CHARS[nxt] == "\n": break out.append(CHARS[nxt]) h, z, logits = step_one(p, h, z, np.array([nxt]), dt) return "".join(out) STOPWORDS = set("""the and that this with what who how which but not nor all any are was were been being have has had having you your yours thou thee thy they them their there then than when where why while will would could should shall may might must can does did doing about into from upon over under very much more most some such only just also even ever never here his her him its our ours out off for one two too tell know said says say see seem like want need good well make made take give get got come came went gone let yes now""".split()) def pick_keyword(msg, freq, kwc): words = [w for w in re.findall(r"[a-z']+", msg.lower()) if len(w) >= 3 and w not in STOPWORDS and freq.get(w, 0) >= 8] if not words: return "whale" trained = [w for w in words if kwc.get(w, 0) >= 3] # most specific topic the model actually practised on; else rarest known return min(trained or words, key=lambda w: freq[w]) # ---------------------------------------------------------------- persistence def save(path, p, dt, freq, kwc): words = np.array(list(freq.keys())) counts = np.array(list(freq.values())) kwords = np.array(list(kwc.keys())) kcounts = np.array(list(kwc.values())) np.savez_compressed(path, dt=dt, words=words, counts=counts, kwords=kwords, kcounts=kcounts, **{f"p_{k}": x for k, x in p.items()}) def load(path): zf = np.load(path) p = {k[2:]: zf[k] for k in zf.files if k.startswith("p_")} freq = dict(zip(zf["words"].tolist(), zf["counts"].tolist())) kwc = dict(zip(zf["kwords"].tolist(), zf["kcounts"].tolist())) return p, float(zf["dt"]), freq, kwc # ---------------------------------------------------------------- main def main(): ap = argparse.ArgumentParser(description="OLM v3 — trained oscillators") ap.add_argument("--text", default="mobydick.txt") ap.add_argument("--hidden", type=int, default=256) ap.add_argument("--seq", type=int, default=128) ap.add_argument("--batch", type=int, default=64) ap.add_argument("--dt", type=float, default=0.5) ap.add_argument("--lr", type=float, default=2e-3) ap.add_argument("--epochs", type=int, default=18) ap.add_argument("--train", action="store_true") ap.add_argument("--save", default="olm.npz") ap.add_argument("--load", default=None) ap.add_argument("--ask", default=None, help="one-shot question") ap.add_argument("--gradcheck", action="store_true") args = ap.parse_args() if args.gradcheck: sys.exit(0 if gradcheck() else 1) if args.train: train(args) if not args.ask: return p, dt, freq, kwc = load(args.load or args.save) def answer(msg): kw = pick_keyword(msg, freq, kwc) return kw, generate(p, dt, f"?{kw};") if args.ask: kw, resp = answer(args.ask) print(f"you : {args.ask}\nolm ({kw}) : {resp}") return print("OLM chat — it answers about the topic word of your message (ctrl-d quits)") while True: try: msg = input("\nyou > ") except EOFError: break kw, resp = answer(msg) print(f"olm ({kw}) > {resp}") if __name__ == "__main__": main()