"""Forecast near-term packet loss from step-level telemetry: a learning example on the splits. python examples/forecast_congestion.py # data/, potential router python examples/forecast_congestion.py --router shortest_path --window 20 --horizon 20 --stride 10 Task: at step t, predict the network's loss ratio over the next `horizon` steps (dropped / offered) from the last `window` steps of the network totals in ``network_telemetry`` (offered, delivered, dropped, queued, in transit), normalised by the episode's total capacity so that networks of different sizes share one feature scale, plus the recent loss ratio itself. A ridge regression (closed form, NumPy only) is fitted on the train split, its penalty chosen on the validation split, and reported on the test split against a persistence baseline (the loss ratio of the preceding `horizon` steps). The script asserts that the splits are disjoint by episode and that no feature is undefined. """ import argparse import sys from pathlib import Path import numpy as np import pandas as pd from numpy.lib.stride_tricks import sliding_window_view ROOT = Path(__file__).resolve().parents[1] sys.path.insert(0, str(ROOT)) from src.dataset import Dataset # noqa: E402 CHANNELS = ("offered", "delivered", "dropped", "queued", "in_transit") def windows(frame: pd.DataFrame, capacity: float, n_nodes: int, window: int, horizon: int, stride: int): """Feature matrix, target, baseline and step index for one episode's step series.""" series = frame[list(CHANNELS)].to_numpy(np.float64) steps = len(series) t = np.arange(max(window, horizon), steps - horizon + 1, stride) if len(t) == 0: return None past = sliding_window_view(series, window, axis=0)[t - window] # (samples, channels, window) future = sliding_window_view(series[:, :3], horizon, axis=0)[t] # offered, delivered, dropped offered_next, dropped_next = future[:, 0].sum(1), future[:, 2].sum(1) recent = sliding_window_view(series[:, :3], horizon, axis=0)[t - horizon] keep = offered_next > 0 # loss ratio well defined with np.errstate(invalid="ignore", divide="ignore"): baseline = np.where(recent[:, 0].sum(1) > 0, recent[:, 2].sum(1) / recent[:, 0].sum(1), 0.0) features = np.concatenate([past.reshape(len(t), -1) / capacity, baseline[:, None], np.full((len(t), 1), np.log10(n_nodes))], axis=1) target = dropped_next / np.maximum(offered_next, 1) return features[keep], target[keep], baseline[keep], t[keep] def ridge_fit(x: np.ndarray, y: np.ndarray, lam: float) -> np.ndarray: n, d = x.shape return np.linalg.solve(x.T @ x / n + lam * np.eye(d), x.T @ y / n) def metrics(y: np.ndarray, pred: np.ndarray) -> dict: pred = np.clip(pred, 0.0, 1.0) sse = np.sum((y - pred) ** 2) return {"MAE": np.mean(np.abs(y - pred)), "RMSE": np.sqrt(sse / len(y)), "R2": 1.0 - sse / max(np.sum((y - y.mean()) ** 2), 1e-12)} def main() -> None: parser = argparse.ArgumentParser(description=__doc__, formatter_class=argparse.RawDescriptionHelpFormatter) parser.add_argument("--data", type=Path, default=ROOT / "data", help="dataset folder (default: data/)") parser.add_argument("--router", default="potential") parser.add_argument("--window", type=int, default=10, help="steps of history used as features") parser.add_argument("--horizon", type=int, default=10, help="steps ahead over which loss is predicted") parser.add_argument("--stride", type=int, default=5, help="steps between consecutive samples") parser.add_argument("--max-episodes", type=int, default=0, help="cap on episodes (0 = all)") args = parser.parse_args() pd.set_option("display.width", 160) pd.set_option("display.precision", 4) ds = Dataset(args.data) episodes = ds.episodes if args.max_episodes: episodes = episodes.iloc[: args.max_episodes] if episodes.split.nunique() < 3: # fewer than five replicates: fall back to a split by episode id fallback = np.array(["train", "train", "train", "validation", "test"])[episodes.index % 5] episodes = episodes.assign(split=fallback) print("note: the dataset has no validation/test replicates; splitting by episode id modulo 5 instead") net = ds.table("network_telemetry", columns=["episode_id", "step"] + list(CHANNELS), filters=[("router", "=", args.router)]) net = net[net.episode_id.isin(episodes.index)].sort_values(["episode_id", "step"]) parts = {"train": [], "validation": [], "test": []} seen = {s: set() for s in parts} for eid, frame in net.groupby("episode_id", sort=False): row = episodes.loc[eid] sample = windows(frame, float(row.total_capacity), int(row.n_nodes), args.window, args.horizon, args.stride) if sample is not None: parts[row.split].append((eid, *sample)) seen[row.split].add(eid) assert not (seen["train"] & seen["test"]) and not (seen["train"] & seen["validation"]), "splits overlap" assert all(parts.values()), "every split needs episodes: " + ", ".join(f"{k} {len(v)}" for k, v in parts.items()) def stack(split): x = np.concatenate([p[1] for p in parts[split]]) y = np.concatenate([p[2] for p in parts[split]]) b = np.concatenate([p[3] for p in parts[split]]) eids = np.concatenate([np.full(len(p[2]), p[0]) for p in parts[split]]) return x, y, b, eids x_tr, y_tr, _, _ = stack("train") x_va, y_va, b_va, _ = stack("validation") x_te, y_te, b_te, e_te = stack("test") assert np.isfinite(x_tr).all() and np.isfinite(x_va).all() and np.isfinite(x_te).all() mean, std = x_tr.mean(0), x_tr.std(0) + 1e-12 z = lambda x: np.hstack([(x - mean) / std, np.ones((len(x), 1))]) # noqa: E731 standardise + intercept print(f"{ds.path}: router {args.router}, window {args.window}, horizon {args.horizon}, stride {args.stride}") print(f" samples: train {len(y_tr):,} ({len(seen['train'])} episodes), validation {len(y_va):,} " f"({len(seen['validation'])}), test {len(y_te):,} ({len(seen['test'])}); features {x_tr.shape[1]}") print(f" target: loss ratio over the next {args.horizon} steps; mean {y_tr.mean():.4f}, " f"share of samples with loss {np.mean(y_tr > 0):.3f}") grid = [10 ** k for k in range(-6, 3)] scores = {lam: metrics(y_va, z(x_va) @ ridge_fit(z(x_tr), y_tr, lam))["RMSE"] for lam in grid} lam = min(scores, key=scores.get) w = ridge_fit(z(x_tr), y_tr, lam) print(f"\nRidge penalty chosen on validation: lambda = {lam:g} (validation RMSE {scores[lam]:.4f})") report = pd.DataFrame({"ridge (validation)": metrics(y_va, z(x_va) @ w), "persistence (validation)": metrics(y_va, b_va), "ridge (test)": metrics(y_te, z(x_te) @ w), "persistence (test)": metrics(y_te, b_te)}).T print(report.to_string()) test_pred = np.clip(z(x_te) @ w, 0, 1) by_load = pd.DataFrame({"episode_id": e_te, "ridge_error": np.abs(y_te - test_pred), "persistence_error": np.abs(y_te - b_te), "target": y_te}) by_load = by_load.join(episodes[["load_level", "traffic_profile"]], on="episode_id") print("\nTest MAE by load level and traffic profile:") print(by_load.groupby(["load_level", "traffic_profile"])[["target", "ridge_error", "persistence_error"]] .mean().rename(columns={"target": "mean_loss"}).to_string()) print("\nAll checks passed.") if __name__ == "__main__": main()