Research map / Multi-agent systems and games / Cooperative multi-agent RL
Value-Based Deep Multi-Agent Reinforcement Learning with Dynamic Sparse Training
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Proposes MAST, a dynamic sparse training framework for value-based deep MARL that uses hybrid TD(λ) targets, Soft Mellowmax operator, and a dual replay buffer to train ultra-sparse MARL agents from scratch with up to 20x FLOP reduction.
Problem
Training deep value-based MARL agents is computationally expensive, and naively applying dynamic sparse training fails because sparse networks cause unreliable bootstrapped value targets and unstable, policy-inconsistent sample distributions in multi-agent settings.
Approach
Combine RigL-style gradient-based topology evolution with three value-learning fixes for sparse models: a delayed hybrid TD(λ) target, the Soft Mellowmax operator to reduce overestimation without joint-action cost, and a dual FIFO replay buffer (large off-policy plus small on-policy) to reduce policy inconsistency.
Key results
- MAST-QMIX reaches about 98.9% of dense performance on average across four SMAC maps at roughly 92% sparsity (0.086x model size).
- FLOPs for training and inference are reduced by up to 20x (MAST-QMIX on 2s3z), averaging 10x, 9x and 8x for QMIX, WQMIX and RES.
- Under the same sparsity, static sparse, SET, RigL and RLx2 baselines reach much lower relative performance (e.g., RigL average 64.6% for QMIX).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use MAST instead of sparse training baselines | QMIX on SMAC · SMAC 3s5z | win rate (%): 45.2 -> 99.0 | Helped |
| Use MAST instead of sparse training baselines | WQMIX on SMAC · SMAC 3s5z | win rate (%): 70.7 -> 96.1 | Helped |
| Use MAST instead of sparse training baselines | RES on SMAC · SMAC 64* | win rate (%): 83.3 -> 104.9 | Helped |
| Use MAST with sparse models rather than dense models | QMIX, WQMIX, and RES · SMAC | performance degradation: under $3\%$ | No clear effect |
| Add the Soft Mellowmax operator to sparse QMIX | RigL-QMIX on SMAC 3s5z · SMAC 3s5z | win rate | Helped |
| Add dual replay buffers to sparse QMIX | RigL-QMIX · SMAC 3s5z | reward | Helped |
| Use dual replay buffers in dense training | QMIX · SMAC | training stability | No clear effect |
| Use hybrid TD($\lambda$) targets rather than one fixed multi-step length | sparse value-based MARL · SMAC | performance | Helped |
| Use a fixed random sparse topology instead of evolving a MAST topology | sparse QMIX · SMAC 3s5z | performance | Hurt |
| Use RigL's winning-ticket topology instead of MAST's | sparse QMIX · SMAC 3s5z | performance | Hurt |
| Use adaptive sparsity allocation rather than manually set agent sparsity patterns | MAST · SMAC 3s5z | performance | Helped |
| Use MAST sparse training instead of tiny dense networks | QMIX, WQMIX, and RES · SMAC average | win rate (%): 77.1 -> 98.9; 77.4 -> 98.1; 93.2 -> 100.6 | Helped |
Surprising findings
- RLx2, a single-agent sparse training method, performs poorly in MARL, averaging 29.8% relative performance for QMIX.
- RigL's winning ticket performs poorly, similar to a random ticket, while MAST's learned topology performs well.
Limitations
- Several hyperparameters (topology update, TD(lambda), dual buffer sizes) must be tuned for each setting.
- Unstructured sparsity does not directly translate to reduced running time.
- Evaluated mainly on SMAC easy maps with a few algorithms.
Experimental setup
Datasets: SMAC MAMuJoCo
Benchmarks: SMAC MAMuJoCo
Metrics: win rate FLOPs (train and test) model size
Baselines: Tiny dense network Static sparse (SS) SET RigL RLx2
Builds on: RigL QMIX Soft Mellowmax operator TD(lambda)
Closest papers by meaning
- Benchmarking Multi-Agent Deep Reinforcement Learning Algorithms in Cooperative Tasks (NeurIPS 2021 · similarity 0.91)
- SrSv: Integrating Sequential Rollouts with Sequential Value Estimation for Multi-agent Reinforcement Learning (AAAI 2025 · similarity 0.87)
- In value-based deep reinforcement learning, a pruned network is a good network (ICML 2024 · similarity 0.87)
- Adaptive Context Length Optimization with Low-Frequency Truncation for Multi-Agent Reinforcement Learning (NeurIPS 2025 · similarity 0.87)
- ConcaveQ: Non-monotonic Value Function Factorization via Concave Representations in Deep Multi-Agent Reinforcement Learning (AAAI 2024 · similarity 0.86)
- Dr. MAS: Stable Reinforcement Learning for Multi-Agent LLM Systems (NeurIPS 2026 · similarity 0.86)
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