| """ |
| RTB Bidding Algorithm Comparison on Real Criteo Data |
| """ |
| import numpy as np |
| import pandas as pd |
| import json |
| from datasets import load_dataset |
| from sklearn.linear_model import LogisticRegression |
| from sklearn.ensemble import GradientBoostingRegressor |
| from sklearn.model_selection import train_test_split |
|
|
| print("="*60) |
| print("RTB BIDDING ON REAL CRITEO DATA") |
| print("="*60) |
|
|
| |
| ds = load_dataset("reczoo/Criteo_x4", split="train", streaming=True) |
| rows = [] |
| for i, row in enumerate(ds): |
| if i >= 100000: |
| break |
| rows.append(row) |
| df = pd.DataFrame(rows) |
| print(f"Loaded {len(df)} rows, CTR: {df['Label'].mean():.4f}") |
|
|
| |
| sparse_cols = [f"C{i}" for i in range(1, 27)] |
| dense_cols = [f"I{i}" for i in range(1, 14)] |
|
|
| for col in dense_cols: |
| df[col] = df[col].fillna(df[col].median()) |
| for col in sparse_cols: |
| df[col] = df[col].fillna("MISSING") |
| vocab = {v: i+1 for i, v in enumerate(df[col].unique())} |
| df[col] = df[col].map(vocab) |
|
|
| for col in dense_cols: |
| df[col] = (df[col] - df[col].mean()) / (df[col].std() + 1e-8) |
|
|
| feature_cols = dense_cols + sparse_cols |
| X = df[feature_cols].values |
| y = df['Label'].values |
|
|
| |
| np.random.seed(42) |
| mu_price = 1.0 + 0.02 * X[:, 0] + 0.01 * X[:, 1] |
| market_price = np.random.lognormal(mu_price, 0.6) |
| print(f"Market price mean: {market_price.mean():.2f}") |
|
|
| |
| train_idx, test_idx = train_test_split(range(len(df)), test_size=0.2, random_state=42) |
| X_train, X_test = X[train_idx], X[test_idx] |
| y_train, y_test = y[train_idx], y[test_idx] |
| price_train, price_test = market_price[train_idx], market_price[test_idx] |
|
|
| |
| print("\nTraining CTR model...") |
| lr = LogisticRegression(max_iter=200, C=0.1) |
| lr.fit(X_train, y_train) |
| pctr = lr.predict_proba(X_test)[:, 1] |
| print(f"pCTR range: [{pctr.min():.4f}, {pctr.max():.4f}], mean: {pctr.mean():.4f}") |
|
|
| |
| print("Training price model...") |
| price_model = GradientBoostingRegressor(n_estimators=50, max_depth=4) |
| price_model.fit(X_train, price_train) |
| price_pred = price_model.predict(X_test) |
| print(f"Price prediction MAE: {np.mean(np.abs(price_pred - price_test)):.2f}") |
|
|
| |
| VALUE_PER_CLICK = 50.0 |
|
|
| class LinearBid: |
| def __init__(self, base, avg_pctr): |
| self.base = base; self.avg = avg_pctr |
| def bid(self, pctr, **kw): |
| return self.base * (pctr / self.avg) |
|
|
| class ORTB: |
| def __init__(self, lam, c): |
| self.lam = lam; self.c = c |
| def bid(self, pctr, **kw): |
| return np.sqrt((self.c / self.lam) * pctr + self.c**2) - self.c |
|
|
| class DualOGD: |
| def __init__(self, budget, T, vpc=50, eps=None): |
| self.B = budget; self.T = T; self.rho = budget / T |
| self.vpc = vpc; self.eps = eps or 1.0 / np.sqrt(T) |
| self.lam = 0.0; self.spent = 0.0; self.t = 0 |
| def bid(self, pctr, win_prob, **kw): |
| self.t += 1 |
| rem = self.B - self.spent |
| if rem <= 0: return 0.0 |
| v = pctr * self.vpc |
| max_b = min(v * 2, rem) |
| if max_b <= 0: return 0.0 |
| bids = np.linspace(0.5, max_b, 40) |
| rewards = [(v - b) * win_prob(b) - self.lam * b * win_prob(b) for b in bids] |
| return float(bids[np.argmax(rewards)]) |
| def update(self, cost): |
| self.spent += cost |
| self.lam = max(0.0, self.lam - self.eps * (self.rho - cost)) |
|
|
| class Threshold: |
| def __init__(self, th, val): |
| self.th = th; self.val = val |
| def bid(self, pctr, **kw): |
| return self.val if pctr > self.th else 0.0 |
|
|
| def simulate(algo, pctr, prices, clicks, budget, T): |
| spent = 0.0 |
| clicks_got = 0 |
| imp = 0 |
| for i in range(min(T, len(pctr))): |
| if spent >= budget: break |
| def wp(b): |
| if b <= 0: return 0.0 |
| return 1.0 / (1.0 + np.exp(-(b - prices[i]) / (prices[i] * 0.5))) |
| if isinstance(algo, DualOGD): |
| b = algo.bid(pctr[i], wp) |
| else: |
| b = algo.bid(pctr[i]) |
| if b >= prices[i] and spent + b <= budget: |
| spent += b; imp += 1; clicks_got += int(clicks[i]) |
| if isinstance(algo, DualOGD): |
| algo.update(float(b) if b >= prices[i] else 0.0) |
| return { |
| 'clicks': int(clicks_got), |
| 'impressions': int(imp), |
| 'spent': float(spent), |
| 'budget': float(budget), |
| 'ctr': float(clicks_got / max(imp, 1)), |
| 'budget_used': float(spent / budget), |
| 'cpc': float(spent / max(clicks_got, 1)) |
| } |
|
|
| |
| budget = 5000; T = 10000 |
| avg_pctr = float(pctr.mean()) |
|
|
| algos = { |
| 'Linear': LinearBid(20, avg_pctr), |
| 'ORTB': ORTB(0.002, 8), |
| 'DualOGD': DualOGD(budget, T, VALUE_PER_CLICK), |
| 'Threshold': Threshold(0.3, 30) |
| } |
|
|
| print("\n" + "="*60) |
| print("BIDDING ALGORITHM COMPARISON ON REAL CRITEO DATA") |
| print("="*60) |
|
|
| results = {} |
| for name, algo in algos.items(): |
| results[name] = simulate(algo, pctr, price_test, y_test, budget, T) |
| r = results[name] |
| print(f"{name:12} Clicks:{r['clicks']:4} CTR:{r['ctr']:.4f} Budget:{r['budget_used']:.2%} CPC:{r['cpc']:.2f}") |
|
|
| with open('results_real.json', 'w') as f: |
| json.dump(results, f, indent=2) |
|
|
| print("\nSaved to results_real.json") |
|
|