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| 1 |
+
# RTB Bidding Algorithm Comparison — Complete Research Resource List
|
| 2 |
+
|
| 3 |
+
> Generated: 2026-05-05 | Repository: https://huggingface.co/hamverbot/bidding_algorithms_benchmark
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| 4 |
+
|
| 5 |
+
---
|
| 6 |
+
|
| 7 |
+
## Table of Contents
|
| 8 |
+
|
| 9 |
+
1. [Bidding Algorithms](#1-bidding-algorithms)
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| 10 |
+
2. [CTR Prediction Models](#2-ctr-prediction-models)
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| 11 |
+
3. [Clearing Price / Market Price Prediction](#3-clearing-price--market-price-prediction)
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| 12 |
+
4. [Datasets](#4-datasets)
|
| 13 |
+
5. [Codebases & Implementations](#5-codebases--implementations)
|
| 14 |
+
6. [Benchmark Leaderboards](#6-benchmark-leaderboards)
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| 15 |
+
7. [Recommended Architecture](#7-recommended-architecture)
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| 16 |
+
|
| 17 |
+
---
|
| 18 |
+
|
| 19 |
+
## 1. Bidding Algorithms
|
| 20 |
+
|
| 21 |
+
### 1.1 Lagrangian Dual + Online Gradient Descent (BEST MATCH)
|
| 22 |
+
|
| 23 |
+
| Property | Detail |
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| 24 |
+
|----------|--------|
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| 25 |
+
| **Paper** | "Learning to Bid in Repeated First-Price Auctions with Budgets" |
|
| 26 |
+
| **Authors** | Qian Wang, Zongjun Yang, Xiaotie Deng, Yuqing Kong (2023) |
|
| 27 |
+
| **Venue** | NeurIPS 2023 |
|
| 28 |
+
| **arXiv** | [2304.13477](https://arxiv.org/abs/2304.13477) |
|
| 29 |
+
| **HF Papers** | https://huggingface.co/papers/2304.13477 |
|
| 30 |
+
| **Algorithm** | DualOGD — Lagrangian dual multiplier updated by online error gradient descent |
|
| 31 |
+
| **Auction Type** | First-price (also handles second-price) |
|
| 32 |
+
| **Constraints** | Budget cap: total spend ≤ ρT |
|
| 33 |
+
| **Regret Bound** | Õ(√T) for both full-information and one-sided feedback |
|
| 34 |
+
| **Key Formula** | λ_{t+1} = Proj_{λ>0}(λ_t − ε·(ρ − c̃_t(b_t))) |
|
| 35 |
+
| **Bid Rule** | b_t = argmax_b (r̃_t(v_t, b) − λ_t·c̃_t(b)) |
|
| 36 |
+
| **Prediction Models Needed** | CTR predictor (for v_t), empirical CDF of competing bids (G̃) |
|
| 37 |
+
|
| 38 |
+
### 1.2 Dual Mirror Descent (Second-Price)
|
| 39 |
+
|
| 40 |
+
| Property | Detail |
|
| 41 |
+
|----------|--------|
|
| 42 |
+
| **Paper** | "The Best of Many Worlds: Dual Mirror Descent for Online Allocation Problems" |
|
| 43 |
+
| **Authors** | Santiago Balseiro, Haihao Lu, Vahab Mirrokni (2020) |
|
| 44 |
+
| **Venue** | Operations Research (2023) |
|
| 45 |
+
| **arXiv** | [2011.10124](https://arxiv.org/abs/2011.10124) |
|
| 46 |
+
| **Citations** | 135+ |
|
| 47 |
+
| **Algorithm** | Dual mirror descent — generalizes OGD with Bregman divergences |
|
| 48 |
+
| **Auction Type** | Second-price (truthful) |
|
| 49 |
+
| **Bid Rule** | b_t = v_t / (1 + μ_t) |
|
| 50 |
+
| **Dual Update** | μ_{t+1} = Proj(μ_t − η·(ρ − payment_t)) |
|
| 51 |
+
| **Key Insight** | No market price model needed for second-price auctions |
|
| 52 |
+
| **Prediction Models** | CTR predictor only |
|
| 53 |
+
|
| 54 |
+
### 1.3 Dual Descent with RoS + Budget (Multi-Constraint)
|
| 55 |
+
|
| 56 |
+
| Property | Detail |
|
| 57 |
+
|----------|--------|
|
| 58 |
+
| **Paper** | "Online Bidding Algorithms for Return-on-Spend Constrained Advertisers" |
|
| 59 |
+
| **Authors** | Zhe Feng, Swati Padmanabhan, Di Wang (2022) |
|
| 60 |
+
| **Venue** | ICML 2022 |
|
| 61 |
+
| **arXiv** | [2208.13713](https://arxiv.org/abs/2208.13713) |
|
| 62 |
+
| **Algorithm** | Two dual variables: λ for RoS, μ for budget |
|
| 63 |
+
| **Bid Rule** | b_t = ((1+λ_t)/(μ_t+λ_t)) · v_t |
|
| 64 |
+
| **Key Insight** | Adaptable for k% spend floor — second dual variable enforces minimum spend |
|
| 65 |
+
|
| 66 |
+
### 1.4 RLB — Reinforcement Learning Bidding
|
| 67 |
+
|
| 68 |
+
| Property | Detail |
|
| 69 |
+
|----------|--------|
|
| 70 |
+
| **Paper** | "Real-Time Bidding by Reinforcement Learning in Display Advertising" |
|
| 71 |
+
| **Authors** | Han Cai et al. (2017) |
|
| 72 |
+
| **Venue** | WSDM 2017 |
|
| 73 |
+
| **arXiv** | [1701.02490](https://arxiv.org/abs/1701.02490) |
|
| 74 |
+
| **GitHub** | https://github.com/han-cai/rlb-dp (188 stars) |
|
| 75 |
+
| **Algorithm** | MDP + Dynamic Programming + Neural value function |
|
| 76 |
+
| **Results** | +22% clicks over linear bidding on iPinYou |
|
| 77 |
+
| **Prediction Models** | CTR θ(x) + market price distribution m(δ, x) |
|
| 78 |
+
|
| 79 |
+
### 1.5 HiBid — Industrial Hierarchical Dual-RL
|
| 80 |
+
|
| 81 |
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| Property | Detail |
|
| 82 |
+
|----------|--------|
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| 83 |
+
| **Paper** | "HiBid: A Cross-Channel Constrained Bidding System" |
|
| 84 |
+
| **arXiv** | [2312.17503](https://arxiv.org/abs/2312.17503) |
|
| 85 |
+
| **Scale** | 64K advertisers, 70M requests/day, 4 channels, Meituan |
|
| 86 |
+
| **Algorithm** | High-level RL budget allocation + Low-level λ-parameterized bidding |
|
| 87 |
+
|
| 88 |
+
### Unified Dual Multiplier Template
|
| 89 |
+
|
| 90 |
+
```
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| 91 |
+
For each auction t:
|
| 92 |
+
1. Observe value v_t (from CTR prediction × click value)
|
| 93 |
+
2. Compute bid: b_t = f(v_t, dual_multiplier_t)
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| 94 |
+
3. Observe outcome: payment c_t (if won) or 0 (if lost)
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| 95 |
+
4. Compute gradient: g_t = ρ − c_t
|
| 96 |
+
5. Update multiplier: λ_{t+1} = Proj_{λ≥0}(λ_t − η·g_t)
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| 97 |
+
```
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| 98 |
+
|
| 99 |
+
| Method | Auction | Bid Function f(v, λ) |
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| 100 |
+
|--------|---------|----------------------|
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| 101 |
+
| Wang 2023 | First-price | argmax_b (r̃(v,b) − λ·c̃(b)) |
|
| 102 |
+
| Balseiro 2020 | Second-price | v / (1+λ) |
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| 103 |
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| Feng 2022 | Second-price | ((1+λ_RoS)/(λ_RoS+λ_budget)) · v |
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| 104 |
+
|
| 105 |
+
---
|
| 106 |
+
|
| 107 |
+
## 2. CTR Prediction Models
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| 108 |
+
|
| 109 |
+
### 2.1 FinalMLP (RECOMMENDED)
|
| 110 |
+
|
| 111 |
+
| Property | Detail |
|
| 112 |
+
|----------|--------|
|
| 113 |
+
| **Paper** | "FinalMLP: An Enhanced Two-Stream MLP Model for CTR Prediction" |
|
| 114 |
+
| **arXiv** | [2304.00902](https://arxiv.org/abs/2304.00902) |
|
| 115 |
+
| **Criteo AUC** | **0.8149** |
|
| 116 |
+
| **Avazu AUC** | **0.7666** |
|
| 117 |
+
| **Architecture** | Two-stream MLP + feature gating + bilinear fusion |
|
| 118 |
+
| **Inference** | <1ms — best for RTB latency constraints |
|
| 119 |
+
|
| 120 |
+
### 2.2 Other Top Models
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| 121 |
+
|
| 122 |
+
| Model | Criteo AUC | Architecture | RTB-Suitable |
|
| 123 |
+
|-------|-----------|-------------|--------------|
|
| 124 |
+
| **FinalMLP** | 0.8149 | Two-stream MLP | ✅ Best |
|
| 125 |
+
| **DCNv2** | 0.8142-0.8144 | CrossNetV2 + DNN | ✅ |
|
| 126 |
+
| **GDCN** | 0.8161* | Gated Cross + DNN | ✅ |
|
| 127 |
+
| **DeepFM** | 0.8138 | FM + DNN | ✅ |
|
| 128 |
+
| **FCN** | New | LCN + ECN (no DNN) | ✅ |
|
| 129 |
+
| DIN | — | Attention (user history) | ❌ Slow |
|
| 130 |
+
| DIEN | — | GRU + attention | ❌ Slow |
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| 131 |
+
|
| 132 |
+
*GDCN uses own data split — not directly comparable.
|
| 133 |
+
|
| 134 |
+
**BARS Meta-Finding (2009.05794):** After 7,000+ experiments, SOTA deep CTR models differ by only 0.1-0.3% AUC. Architecture matters less than data preprocessing, hyperparameter tuning, and feature engineering.
|
| 135 |
+
|
| 136 |
+
---
|
| 137 |
+
|
| 138 |
+
## 3. Clearing Price / Market Price Prediction
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| 139 |
+
|
| 140 |
+
### 3.1 Non-Parametric Empirical CDF (BASELINE)
|
| 141 |
+
|
| 142 |
+
| Property | Detail |
|
| 143 |
+
|----------|--------|
|
| 144 |
+
| **Source** | Wang et al. (2023), Algorithm 1 |
|
| 145 |
+
| **Method** | G̃_t(b) = (1/(t-1))∑𝟙{b ≥ d_s} |
|
| 146 |
+
| **Pros** | No training, theoretically sound, handles distribution shift |
|
| 147 |
+
| **Cons** | No context, cold-start |
|
| 148 |
+
|
| 149 |
+
### 3.2 Deep Censored Learning / Survival Analysis
|
| 150 |
+
|
| 151 |
+
| Property | Detail |
|
| 152 |
+
|----------|--------|
|
| 153 |
+
| **Library** | **TorchSurv** (Novartis, 200★) [2404.10761] |
|
| 154 |
+
| **URL** | https://github.com/Novartis/torchsurv |
|
| 155 |
+
| **Method** | Neural net with censored survival loss |
|
| 156 |
+
| **Loss** | Win: -log f(price\|x); Loss: -log S(bid\|x) |
|
| 157 |
+
| **Key Insight** | Proper survival framework handles censoring |
|
| 158 |
+
|
| 159 |
+
### 3.3 Censored Linear Regression (Wu et al. 2015, KDD)
|
| 160 |
+
|
| 161 |
+
| Property | Detail |
|
| 162 |
+
|----------|--------|
|
| 163 |
+
| **Method** | Tobit-like: log(market_price) = β·x + ε, ε ~ N(0, σ²) |
|
| 164 |
+
| **Pros** | Contextual, simple |
|
| 165 |
+
| **Cons** | Linear — limited capacity |
|
| 166 |
+
|
| 167 |
+
### Comparison
|
| 168 |
+
|
| 169 |
+
| Method | Contextual? | Handles Censoring? | Training? | Complexity |
|
| 170 |
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|--------|-------------|-------------------|-----------|------------|
|
| 171 |
+
| Empirical CDF | ❌ | N/A | None | Minimal |
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| 172 |
+
| Censored Linear | ✅ | ✅ | Light | Low |
|
| 173 |
+
| Deep Survival | ✅ | ✅ | Neural net | Medium |
|
| 174 |
+
| Win Prob NN | ✅ | ❌ | Neural net | Low |
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| 175 |
+
|
| 176 |
+
---
|
| 177 |
+
|
| 178 |
+
## 4. Datasets
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| 179 |
+
|
| 180 |
+
### CTR Prediction (Verified on HF Hub)
|
| 181 |
+
|
| 182 |
+
| Dataset | HF Path | Size | Verified |
|
| 183 |
+
|---------|---------|------|----------|
|
| 184 |
+
| Criteo_x4 | reczoo/Criteo_x4 | 45.8M rows, 5.6GB | ✅ |
|
| 185 |
+
| Avazu_x4 | reczoo/Avazu_x4 | 40.4M rows, 1.8GB | ✅ |
|
| 186 |
+
|
| 187 |
+
### RTB Bidding (External Only)
|
| 188 |
+
|
| 189 |
+
| Dataset | Source | Availability |
|
| 190 |
+
|---------|--------|-------------|
|
| 191 |
+
| iPinYou | data.computational-advertising.org | External download |
|
| 192 |
+
| YOYI | Various mirrors | External download |
|
| 193 |
+
|
| 194 |
+
---
|
| 195 |
+
|
| 196 |
+
## 5. Codebases
|
| 197 |
+
|
| 198 |
+
| Library | URL | Purpose |
|
| 199 |
+
|---------|-----|---------|
|
| 200 |
+
| **FuxiCTR** | https://github.com/reczoo/FuxiCTR | 40+ CTR models, config-driven |
|
| 201 |
+
| **DeepCTR-Torch** | https://github.com/shenweichen/DeepCTR-Torch | 20+ CTR models, simple API |
|
| 202 |
+
| **TorchSurv** | https://github.com/Novartis/torchsurv | Deep survival for clearing price |
|
| 203 |
+
| **BARS** | https://github.com/openbenchmark/BARS | Standardized CTR benchmark |
|
| 204 |
+
| **rlb-dp** | https://github.com/han-cai/rlb-dp | RL for RTB |
|
| 205 |
+
| **budget_constrained_bidding** | https://github.com/dingmu365/budget_constrained_bidding | Budget-constrained algorithms |
|
| 206 |
+
|
| 207 |
+
---
|
| 208 |
+
|
| 209 |
+
## 6. Benchmark Leaderboards
|
| 210 |
+
|
| 211 |
+
| Leaderboard | URL |
|
| 212 |
+
|-------------|-----|
|
| 213 |
+
| BARS CTR Criteo_x4 | https://openbenchmark.github.io/BARS/CTR/leaderboard/criteo_x4.html |
|
| 214 |
+
| BARS CTR Avazu | https://openbenchmark.github.io/BARS/CTR/leaderboard/avazu_x4.html |
|
| 215 |
+
|
| 216 |
+
---
|
| 217 |
+
|
| 218 |
+
## 7. Recommended Architecture
|
| 219 |
+
|
| 220 |
+
```
|
| 221 |
+
┌─────────────────────────────────────────────┐
|
| 222 |
+
│ BIDDING ALGORITHM │
|
| 223 |
+
│ Dual OGD: λ_{t+1} = Proj(λ_t - ε·(ρ - c̃)) │
|
| 224 |
+
│ Two-sided: μ (cap) + ν (floor) │
|
| 225 |
+
├─────────────────────────────────────────────┤
|
| 226 |
+
│ PREDICTION MODELS │
|
| 227 |
+
│ ┌──────────────┐ ┌────────────────────┐ │
|
| 228 |
+
│ │ FinalMLP │ │ Empirical CDF / │ │
|
| 229 |
+
│ │ v_t=pCTR×V │ │ TorchSurv │ │
|
| 230 |
+
│ └──────────────┘ └────────────────────┘ │
|
| 231 |
+
├─────────────────────────────────────────────┤
|
| 232 |
+
│ DATASETS │
|
| 233 |
+
│ Criteo_x4 + synthetic auction simulation │
|
| 234 |
+
└─────────────────────────────────────────────┘
|
| 235 |
+
```
|
| 236 |
+
|
| 237 |
+
## Paper Index
|
| 238 |
+
|
| 239 |
+
| # | Paper | arXiv | Year | Citations |
|
| 240 |
+
|---|-------|-------|------|-----------|
|
| 241 |
+
| 1 | Wang et al. — First-Price Auctions with Budgets | 2304.13477 | 2023 | Growing |
|
| 242 |
+
| 2 | Balseiro et al. — Dual Mirror Descent | 2011.10124 | 2020 | 135+ |
|
| 243 |
+
| 3 | Feng et al. — RoS Constrained Bidding | 2208.13713 | 2022 | 38+ |
|
| 244 |
+
| 4 | Cai et al. — RLB | 1701.02490 | 2017 | 300+ |
|
| 245 |
+
| 5 | Wang et al. — HiBid | 2312.17503 | 2023 | New |
|
| 246 |
+
| 6 | — Contextual First-Price (Quantile) | 2603.07207 | 2026 | New |
|
| 247 |
+
| 7 | Mao et al. — FinalMLP | 2304.00902 | 2023 | Growing |
|
| 248 |
+
| 8 | Wang et al. — GDCN | 2311.04635 | 2023 | Growing |
|
| 249 |
+
| 9 | Wang et al. — DCN V2 | 2008.13535 | 2021 | 500+ |
|
| 250 |
+
| 10 | Guo et al. — DeepFM | — | 2017 | 3000+ |
|
| 251 |
+
| 11 | Zhu et al. — BARS-CTR | 2009.05794 | 2021 | 100+ |
|
| 252 |
+
| 12 | Wu et al. — Censored Price Prediction | — | 2015 | 101 |
|
| 253 |
+
| 13 | — TorchSurv | 2404.10761 | 2024 | New |
|
| 254 |
+
| 14 | — Robust Budget Pacing | 2302.02006 | 2023 | Growing |
|