#!/usr/bin/env python3 """Budget, recomputation, and exact-optimum studies for TopoRisk. The script is local and deterministic. It reuses the simulator in ``run_experiments.py`` and makes no model or network calls. """ from __future__ import annotations import argparse import csv import itertools import math import random from pathlib import Path from statistics import mean, stdev from run_experiments import Graph, choose, episode, expected_terminal_error, make_graph def ci95(values: list[float]) -> float: return 1.96 * stdev(values) / math.sqrt(len(values)) def static_toporisk(g: Graph, k: int) -> set[int]: base = expected_terminal_error(g, set()) gains = [base - expected_terminal_error(g, {i}) for i in range(len(g.p))] return set(sorted(range(len(g.p)), key=lambda i: (-gains[i], i))[:k]) def exact_optimum(g: Graph, k: int) -> tuple[set[int], float]: best_set: set[int] | None = None best_loss = float("inf") for items in itertools.combinations(range(len(g.p)), k): selected = set(items) loss = expected_terminal_error(g, selected) if loss < best_loss - 1e-15: best_set, best_loss = selected, loss assert best_set is not None return best_set, best_loss def write_csv(path: Path, rows: list[dict]) -> None: with path.open("w", newline="", encoding="utf-8") as handle: writer = csv.DictWriter(handle, fieldnames=list(rows[0])) writer.writeheader() writer.writerows(rows) def main() -> None: parser = argparse.ArgumentParser() parser.add_argument("--out", type=Path, default=Path("results/ablations")) parser.add_argument("--graphs", type=int, default=240) parser.add_argument("--episodes", type=int, default=400) parser.add_argument("--seed", type=int, default=7) args = parser.parse_args() args.out.mkdir(parents=True, exist_ok=True) kinds = ["chain", "tree", "diamond", "random"] master = random.Random(args.seed) graphs = [ (kind, make_graph(kind, 40, random.Random(master.randrange(2**63)))) for kind in kinds for _ in range(args.graphs // len(kinds)) ] budget_rows: list[dict] = [] methods = ["local-risk", "risk-x-count", "risk-x-influence", "static-toporisk", "toporisk"] for budget in [0.025, 0.05, 0.10, 0.15, 0.20, 0.30]: per_method = {method: [] for method in methods} success_method = {method: [] for method in methods} for graph_id, (_, graph) in enumerate(graphs): k = max(1, round(len(graph.p) * budget)) for method_id, method in enumerate(methods): if method == "static-toporisk": selected = static_toporisk(graph, k) else: selected = choose( graph, method, k, random.Random(args.seed * 10_000 + graph_id * 100 + method_id), ) losses, successes = [], [] for ep in range(args.episodes): value, success = episode( graph, selected, 0.90, random.Random(args.seed * 10**8 + graph_id * 10_000 + ep), ) losses.append(value) successes.append(float(success)) per_method[method].append(mean(losses)) success_method[method].append(mean(successes)) for method in methods: budget_rows.append({ "budget": budget, "method": method, "terminal_error": mean(per_method[method]), "terminal_error_ci95": ci95(per_method[method]), "workflow_success": mean(success_method[method]), "workflow_success_ci95": ci95(success_method[method]), }) write_csv(args.out / "budget_curve.csv", budget_rows) # Exact comparison is feasible on twelve-node graphs with three checks. small_master = random.Random(args.seed + 331_007) optimality_rows: list[dict] = [] for kind in kinds: for graph_index in range(50): graph = make_graph(kind, 12, random.Random(small_master.randrange(2**63))) k = 3 optimum, optimum_loss = exact_optimum(graph, k) greedy = choose(graph, "toporisk", k, random.Random(0)) static = static_toporisk(graph, k) greedy_loss = expected_terminal_error(graph, greedy) static_loss = expected_terminal_error(graph, static) no_audit = expected_terminal_error(graph, set()) denom = max(1e-12, no_audit - optimum_loss) optimality_rows.append({ "graph": kind, "graph_index": graph_index, "budget_nodes": k, "no_audit_loss": no_audit, "optimal_loss": optimum_loss, "greedy_loss": greedy_loss, "static_loss": static_loss, "greedy_excess_loss": greedy_loss - optimum_loss, "static_excess_loss": static_loss - optimum_loss, "greedy_fraction_of_optimal_gain": (no_audit - greedy_loss) / denom, "static_fraction_of_optimal_gain": (no_audit - static_loss) / denom, "greedy_exact_match": int(greedy == optimum), "static_exact_match": int(static == optimum), }) write_csv(args.out / "exact_optimality.csv", optimality_rows) print(f"wrote {args.out / 'budget_curve.csv'}") print(f"wrote {args.out / 'exact_optimality.csv'}") if __name__ == "__main__": main()