Learning GFlowNets from partial episodes for improved convergence and stability
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Abstract (arXiv)
Generative flow networks (GFlowNets) are a family of algorithms for training a sequential sampler of discrete objects under an unnormalized target density and have been successfully used for various probabilistic modeling tasks. Existing training objectives for GFlowNets are either local to states or transitions, or propagate a reward signal over an entire sampling trajectory. We argue that these alternatives represent opposite ends of a gradient bias-variance tradeoff and propose a way to exploit this tradeoff to mitigate its harmful effects. Inspired by the TD(λ) algorithm in reinforcement learning, we introduce subtrajectory balance or SubTB(λ), a GFlowNet training objective that can learn from partial action subsequences of varying lengths. We show that SubTB(λ) accelerates sampler convergence in previously studied and new environments and enables training GFlowNets in environments with longer action sequences and sparser reward landscapes than what was possible before. We also perform a comparative analysis of stochastic gradient dynamics, shedding light on the bias-variance tradeoff in GFlowNet training and the advantages of subtrajectory balance.
Key facts. Cited by 132 papers in the map (data through 14 Oct 2026). Builds on 24 of its 53 references that are in the map. First posted on arXiv 26 Sep 2022.
Builds on
24 of 53 references.
References · 24
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- 2016Asynchronous Methods for Deep Reinforcement Learningcited by 2,258
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- 2017Reinforcement Learning with Deep Energy-Based Policiescited by 669
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- 2021Flow Network based Generative Models for Non-Iterative Diverse Candidate Generationcited by 392
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- 2022Trajectory balance: Improved credit assignment in GFlowNetscited by 251
- 2018Provably Efficient Maximum Entropy Explorationcited by 242
- 2017Bridging the Gap Between Value and Policy Based Reinforcement Learningcited by 182
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- 2018Deep Reinforcement Learning and the Deadly Triadcited by 174
- 2019Soft Actor-Critic for Discrete Action Settingscited by 174
- 2022Biological Sequence Design with GFlowNetscited by 174
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- 2021MARS: Markov Molecular Sampling for Multi-objective Drug Discoverycited by 125
- 2022Generative Flow Networks for Discrete Probabilistic Modelingcited by 114
- 2019Conditioning by adaptive sampling for robust designcited by 111
- 2022Design-Bench: Benchmarks for Data-Driven Offline Model-Based Optimizationcited by 97
- 2020AdaLead: A simple and robust adaptive greedy search algorithm for sequence designcited by 65
- 2020Interference and Generalization in Temporal Difference Learningcited by 42
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- 2019Marginalized State Distribution Entropy Regularization in Policy Optimizationcited by 16
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Citing papers per year: 2022: 4; 2023: 31; 2024: 36; 2025: 30; 2026: 31.
132 papers.
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- 2022GFlowNets and variational inferencecited by 106
- 2023A theory of continuous generative flow networkscited by 101
- 2023Amortizing intractable inference in large language modelscited by 97
- 2023Better Training of GFlowNets with Local Credit and Incomplete Trajectoriescited by 85
- 2023Towards Understanding and Improving GFlowNet Trainingcited by 75
- 2024Amortizing intractable inference in diffusion models for vision, language, and controlcited by 72
- 2023Generative Flow Networks as Entropy-Regularized RLcited by 64
- 2023GFlowNets for AI-Driven Scientific Discoverycited by 63
- 2023Diffusion Generative Flow Samplers: Improving learning signals through partial trajectory optimizationcited by 57
- 2024Ant Colony Sampling with GFlowNets for Combinatorial Optimizationcited by 53
- 2023Sample-efficient Multi-objective Molecular Optimization with GFlowNetscited by 50
- 2023Joint Bayesian Inference of Graphical Structure and Parameters with a Single Generative Flow Networkcited by 50
38 more
- 2023Local Search GFlowNetscited by 48
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- 2024Discrete Probabilistic Inference as Control in Multi-path Environmentscited by 44
- 2023GFlowNet-EM for learning compositional latent variable modelscited by 40
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- 2025FlowRL: Matching Reward Distributions for LLM Reasoningcited by 40
- 2022A Variational Perspective on Generative Flow Networkscited by 39
- 2024Genetic-guided GFlowNets for Sample Efficient Molecular Optimizationcited by 39
- 2023Stochastic Generative Flow Networkscited by 32
- 2023Thompson sampling for improved exploration in GFlowNetscited by 32
- 2024Steering Masked Discrete Diffusion Models via Discrete Denoising Posterior Predictioncited by 32
- 2022Bayesian learning of Causal Structure and Mechanisms with GFlowNets and Variational Bayescited by 30
- 2023Maximum entropy GFlowNets with soft Q-learningcited by 30
- 2025Trajectory Balance with Asynchrony: Decoupling Exploration and Learning for Fast, Scalable LLM Post-Trainingcited by 29
- 2023Distributional GFlowNets with Quantile Flowscited by 28
- 2023DynGFN: Towards Bayesian Inference of Gene Regulatory Networks with GFlowNetscited by 27
- 2023Learning to Scale Logits for Temperature-Conditional GFlowNetscited by 27
- 2024Improving GFlowNets for Text-to-Image Diffusion Alignmentcited by 27
- 2023Learning Energy Decompositions for Partial Inference of GFlowNetscited by 24
- 2024Adaptive teachers for amortized samplerscited by 23
- 2022GFlowOut: Dropout with Generative Flow Networkscited by 22
- 2025From discrete-time policies to continuous-time diffusion samplers: Asymptotic equivalences and faster trainingcited by 19
- 2023An Empirical Study of the Effectiveness of Using a Replay Buffer on Mode Discovery in GFlowNetscited by 18
- 2024QGFN: Controllable Greediness with Action Valuescited by 18
- 2023Goal-conditioned GFlowNets for Controllable Multi-Objective Molecular Designcited by 17
- 2023Pre-Training and Fine-Tuning Generative Flow Networkscited by 17
- 2024Sampling from Energy-based Policies using Diffusioncited by 17
- 2025Offline Model-Based Optimization: Comprehensive Reviewcited by 15
- 2024Pessimistic Backward Policy for GFlowNetscited by 14
- 2024Optimizing Backward Policies in GFlowNets via Trajectory Likelihood Maximizationcited by 14
- 2023Order-Preserving GFlowNetscited by 13
- 2024Improved Off-policy Reinforcement Learning in Biological Sequence Designcited by 13
- 2023torchgfn: A PyTorch GFlowNet librarycited by 11
- 2024Beyond Squared Error: Exploring Loss Design for Enhanced Training of Generative Flow Networkscited by 11
- 2025Revisiting Non-Acyclic GFlowNets in Discrete Environmentscited by 10
- 2025On scalable and efficient training of diffusion samplerscited by 10
- 2024Latent Logic Tree Extraction for Event Sequence Explanation from LLMscited by 9
50 most cited of 132 All 132 (JSON)
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- 2026EvoSteer: Online Self-Evolving Graph Orchestration via Reference-Anchored Credit Assignment29 Sep 2026
- 2026R2 Flow: Recursive Self-Improvement via Recursive Skill Evolution27 Sep 2026
- 2026Particle GFlowNets: Rethinking Generative Marginalization Models10 Sep 2026
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- 2026Path-dependent Discrete Amortized Inference9 Aug 2026
- 2026IFlowNets: Extending Generative Samplers to Learn Strategies in Incomplete Information Games5 Aug 2026
- 2026Information-Geometric Forward Policy Training in GFlowNets4 Aug 2026
- 2026GFlowRL: Scaling Distribution-Matching RL to Large Language Models15 Jul 2026
- 2026Stop the Sampler! Classifier-Based Adaptive Stopping for Sampling Kernels15 Jun 2026
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- 2026Stable GFlowNets with TV Monitoring and Probabilistic Guarantees3 May 2026
- 2026Stable-GFlowNet: Toward Diverse and Robust LLM Red-Teaming via Contrastive Trajectory Balance1 May 2026
- 2026Local Inconsistency Resolution: The Interplay between Attention and Control in Probabilistic Models18 Apr 2026
- 2026Learning Shortest Paths with Generative Flow Networks2 Mar 2026
- 2026Evaluating GFlowNet from partial episodes for stable and flexible policy-based training1 Mar 2026
- 2026Rooted Absorbed Prefix Trajectory Balance with Submodular Replay for GFlowNet Training28 Feb 2026
- 2026Routing by Reaching: Composition of Pre-trained GFlowNets for Multi-Objective Generation25 Feb 2026
- 2026Avoid What You Know: Divergent Trajectory Balance for GFlowNets19 Feb 2026
- 2026Beyond Normalization: Rethinking the Partition Function as a Difficulty Scheduler for RLVR13 Feb 2026
- 2026Exploring Multiple High-Scoring Subspaces in Generative Flow Networks12 Feb 2026
- 2026Flow of Spans: Generalizing Language Models to Dynamic Span-Vocabulary via GFlowNets11 Feb 2026
- 2026Alleviating Sparse Rewards by Modeling Step-Wise and Long-Term Sampling Effects in Flow-Based GRPO6 Feb 2026
- 2026Synthesizable Molecular Generation via Soft-constrained GFlowNets with Rich Chemical Priors4 Feb 2026
- 2026GFlowPO: Generative Flow Network as a Language Model Prompt Optimizer3 Feb 2026
- 2026Controlling Exploration-Exploitation in GFlowNets via Markov Chain Perspectives2 Feb 2026
- 2026Toward Cognitive Supersensing in Multimodal Large Language Model2 Feb 2026
- 2025Neural Tractability via Structure: Learning-Augmented Algorithms for Graph Combinatorial Optimization24 Nov 2025
- 2025Interpreting GFlowNets for Drug Discovery: What probes can and cannot show24 Nov 2025
- 2025gfnx: Fast and Scalable Library for Generative Flow Networks in JAX20 Nov 2025
- 2025Boosted GFlowNets: Improving Exploration via Sequential Learning12 Nov 2025
- 2025Iterative Foundation Model Fine-Tuning on Multiple Rewards31 Oct 2025
- 2025Interpretable epistemic uncertainty decomposition in sequential generative models via polynomial chaos surrogates24 Oct 2025
- 2025Can Knowledge-Graph-based Retrieval Augmented Generation Really Retrieve What You Need?18 Oct 2025
- 2025Reinforced sequential Monte Carlo for amortised sampling13 Oct 2025
- 2025Curriculum-Augmented GFlowNets For mRNA Sequence Generation4 Oct 2025
- 2025Planning-Augmented Sampling with Early Guidance for High-Reward Discovery1 Oct 2025
- 2025FlowRL: Matching Reward Distributions for LLM Reasoning18 Sep 2025
- 2025Mitigating Hallucinations in LM-Based TTS Models via Distribution Alignment Using GFlowNets21 Aug 2025
- 2025Deep Electromagnetic Structure Design Under Limited Evaluation Budgets24 Jun 2025
- 2025Discrete Compositional Generation via General Soft Operators and Robust Reinforcement Learning20 Jun 2025
- 2025Improved Exploration in GFlownets via Enhanced Epistemic Neural Networks19 Jun 2025
- 2025Symmetry-Aware GFlowNets3 Jun 2025
- 2025Adaptive Destruction Processes for Diffusion Samplers2 Jun 2025
- 2025Beyond the Proxy: Trajectory-Distilled Guidance for Offline GFlowNet Training26 May 2025
- 2025On scalable and efficient training of diffusion samplers26 May 2025
50 newest of 132 All 132 (JSON)
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- 2024Looking Backward: Retrospective Backward Synthesis for Goal-Conditioned GFlowNetscited by 8
- 2024GFlowNet Training by Policy Gradientscited by 5
- 2024Action abstractions for amortized samplingcited by 4
- 2025Discrete Compositional Generation via General Soft Operators and Robust Reinforcement Learningcited by 2
- 2025Iterative Foundation Model Fine-Tuning on Multiple Rewardscited by 1
- 2026Proximal Policy Optimization for Amortized Discrete Samplingcited by 1
- 2024Enhancing Solution Efficiency in Reinforcement Learning: Leveraging Sub-GFlowNet and Entropy Integrationcited by 0
- 2024Effective Reward Specification in Deep Reinforcement Learningcited by 0
- 2026IFlowNets: Extending Generative Samplers to Learn Strategies in Incomplete Information Gamescited by 0
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- 2026Proximal Policy Optimization for Amortized Discrete Sampling14 Jun 2026
- 2025Iterative Foundation Model Fine-Tuning on Multiple Rewards31 Oct 2025
- 2025Discrete Compositional Generation via General Soft Operators and Robust Reinforcement Learning20 Jun 2025
- 2024Effective Reward Specification in Deep Reinforcement Learning10 Dec 2024
- 2024Action abstractions for amortized sampling19 Oct 2024
- 2024Improved Off-policy Reinforcement Learning in Biological Sequence Design6 Oct 2024
- 2024Sampling from Energy-based Policies using Diffusion2 Oct 2024
- 2024Enhancing Solution Efficiency in Reinforcement Learning: Leveraging Sub-GFlowNet and Entropy Integration1 Oct 2024
- 2024GFlowNet Training by Policy Gradients12 Aug 2024
- 2024Looking Backward: Retrospective Backward Synthesis for Goal-Conditioned GFlowNets3 Jun 2024
- 2025FlowRL: Matching Reward Distributions for LLM Reasoningcited by 40
- 2025Trajectory Balance with Asynchrony: Decoupling Exploration and Learning for Fast, Scalable LLM Post-Trainingcited by 29
- 2026Alleviating Sparse Rewards by Modeling Step-Wise and Long-Term Sampling Effects in Flow-Based GRPOcited by 9
- 2024GFlowNet Fine-tuning for Diverse Correct Solutions in Mathematical Reasoning Taskscited by 8
- 2026Toward Cognitive Supersensing in Multimodal Large Language Modelcited by 7
- 2026GFlowRL: Scaling Distribution-Matching RL to Large Language Modelscited by 2
- 2026Beyond Normalization: Rethinking the Partition Function as a Difficulty Scheduler for RLVRcited by 1
- 2025Do GFlowNets Transfer? Case Study on the Game of 24/42cited by 0
- 2026Perceptual Flow Network for Visually Grounded Reasoningcited by 0
- 2026GFlowRL: Scaling Distribution-Matching RL to Large Language Models15 Jul 2026
- 2026Perceptual Flow Network for Visually Grounded Reasoning4 May 2026
- 2026Beyond Normalization: Rethinking the Partition Function as a Difficulty Scheduler for RLVR13 Feb 2026
- 2026Alleviating Sparse Rewards by Modeling Step-Wise and Long-Term Sampling Effects in Flow-Based GRPO6 Feb 2026
- 2026Toward Cognitive Supersensing in Multimodal Large Language Model2 Feb 2026
- 2025FlowRL: Matching Reward Distributions for LLM Reasoning18 Sep 2025
- 2025Trajectory Balance with Asynchrony: Decoupling Exploration and Learning for Fast, Scalable LLM Post-Training24 Mar 2025
- 2025Do GFlowNets Transfer? Case Study on the Game of 24/423 Mar 2025
- 2024GFlowNet Fine-tuning for Diverse Correct Solutions in Mathematical Reasoning Tasks26 Oct 2024
- 2024Amortizing intractable inference in diffusion models for vision, language, and controlcited by 72
- 2024Improved off-policy training of diffusion samplerscited by 48
- 2024Steering Masked Discrete Diffusion Models via Discrete Denoising Posterior Predictioncited by 32
- 2024Improving GFlowNets for Text-to-Image Diffusion Alignmentcited by 27
- 2025From discrete-time policies to continuous-time diffusion samplers: Asymptotic equivalences and faster trainingcited by 19
- 2025On scalable and efficient training of diffusion samplerscited by 10
- 2025Adaptive Destruction Processes for Diffusion Samplerscited by 6
- 2025Importance Weighted Score Matching for Diffusion Samplers with Enhanced Mode Coveragecited by 2
- 2025Adaptive Destruction Processes for Diffusion Samplers2 Jun 2025
- 2025On scalable and efficient training of diffusion samplers26 May 2025
- 2025Importance Weighted Score Matching for Diffusion Samplers with Enhanced Mode Coverage26 May 2025
- 2025From discrete-time policies to continuous-time diffusion samplers: Asymptotic equivalences and faster training10 Jan 2025
- 2024Steering Masked Discrete Diffusion Models via Discrete Denoising Posterior Prediction10 Oct 2024
- 2024Improving GFlowNets for Text-to-Image Diffusion Alignment2 Jun 2024
- 2024Amortizing intractable inference in diffusion models for vision, language, and control31 May 2024
- 2024Improved off-policy training of diffusion samplers7 Feb 2024
- 2022GFlowNets and variational inferencecited by 106
- 2023A theory of continuous generative flow networkscited by 101
- 2023Amortizing intractable inference in large language modelscited by 97
- 2023Better Training of GFlowNets with Local Credit and Incomplete Trajectoriescited by 85
- 2023Towards Understanding and Improving GFlowNet Trainingcited by 75
- 2023Generative Flow Networks as Entropy-Regularized RLcited by 64
- 2023GFlowNets for AI-Driven Scientific Discoverycited by 63
- 2023Diffusion Generative Flow Samplers: Improving learning signals through partial trajectory optimizationcited by 57
- 2024Ant Colony Sampling with GFlowNets for Combinatorial Optimizationcited by 53
- 2023Sample-efficient Multi-objective Molecular Optimization with GFlowNetscited by 50
- 2023Joint Bayesian Inference of Graphical Structure and Parameters with a Single Generative Flow Networkcited by 50
- 2023Local Search GFlowNetscited by 48
12 most cited of 98 All 98 (JSON)
- 2026Mixture of GFlowNets12 Oct 2026
- 2026Towards Understanding the Training of GFlowNets: A Theoretical Perspective9 Oct 2026
- 2026Distribution Matching Evolutionary Algorithms for Rare Event Sampling2 Oct 2026
- 2026Particle GFlowNets: Rethinking Generative Marginalization Models10 Sep 2026
- 2026Generative Learning for Quantum Measurement Design11 Aug 2026
- 2026Path-dependent Discrete Amortized Inference9 Aug 2026
- 2026Information-Geometric Forward Policy Training in GFlowNets4 Aug 2026
- 2026Stop the Sampler! Classifier-Based Adaptive Stopping for Sampling Kernels15 Jun 2026
- 2026Your GFlowNet Secretly Learns an Optimal Transport Plan4 Jun 2026
- 2026Stable GFlowNets with TV Monitoring and Probabilistic Guarantees3 May 2026
- 2026Local Inconsistency Resolution: The Interplay between Attention and Control in Probabilistic Models18 Apr 2026
- 2026Learning Shortest Paths with Generative Flow Networks2 Mar 2026
12 newest of 98 All 98 (JSON)