Sample-efficient Multi-objective Molecular Optimization with GFlowNets
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Abstract (arXiv)
Many crucial scientific problems involve designing novel molecules with desired properties, which can be formulated as a black-box optimization problem over the discrete chemical space. In practice, multiple conflicting objectives and costly evaluations (e.g., wet-lab experiments) make the diversity of candidates paramount. Computational methods have achieved initial success but still struggle with considering diversity in both objective and search space. To fill this gap, we propose a multi-objective Bayesian optimization (MOBO) algorithm leveraging the hypernetwork-based GFlowNets (HN-GFN) as an acquisition function optimizer, with the purpose of sampling a diverse batch of candidate molecular graphs from an approximate Pareto front. Using a single preference-conditioned hypernetwork, HN-GFN learns to explore various trade-offs between objectives. We further propose a hindsight-like off-policy strategy to share high-performing molecules among different preferences in order to speed up learning for HN-GFN. We empirically illustrate that HN-GFN has adequate capacity to generalize over preferences. Moreover, experiments in various real-world MOBO settings demonstrate that our framework predominantly outperforms existing methods in terms of candidate quality and sample efficiency. The code is available at https://github.com/violet-sto/HN-GFN.
Key facts. Cited by 48 papers in the map (data through 7 Oct 2026). Builds on 40 of its 67 references that are in the map. First posted on arXiv 8 Feb 2023.
Builds on
40 of 67 references.
References · 40
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28 more
- 2018Graph Convolutional Policy Network for Goal-Directed Molecular Graph Generationcited by 363
- 2019Deep Evidential Regressioncited by 354
- 2021GFlowNet Foundationscited by 286
- 2022Trajectory balance: Improved credit assignment in GFlowNetscited by 244
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- 2022Biological Sequence Design with GFlowNetscited by 172
- 2022Bayesian Structure Learning with Generative Flow Networkscited by 153
- 2022Sample Efficiency Matters: A Benchmark for Practical Molecular Optimizationcited by 151
- 2022Learning GFlowNets from partial episodes for improved convergence and stabilitycited by 129
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- 2021Combining Latent Space and Structured Kernels for Bayesian Optimization over Combinatorial Spacescited by 45
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Citing papers per year: 2023: 2; 2024: 19; 2025: 17; 2026: 10.
48 papers.
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- 2024Panacea: Pareto Alignment via Preference Adaptation for LLMscited by 78
- 2024Efficient Evolutionary Search Over Chemical Space with Large Language Modelscited by 59
- 2024Ant Colony Sampling with GFlowNets for Combinatorial Optimizationcited by 53
- 2024Improved off-policy training of diffusion samplerscited by 47
- 2024Graph Diffusion Transformers for Multi-Conditional Molecular Generationcited by 44
- 2024Genetic-guided GFlowNets for Sample Efficient Molecular Optimizationcited by 36
- 2024ParetoFlow: Guided Flows in Multi-Objective Optimizationcited by 17
- 2024Few for Many: Tchebycheff Set Scalarization for Many-Objective Optimizationcited by 15
- 2025Gradient-Based Multi-Objective Deep Learning: Algorithms, Theories, Applications, and Beyondcited by 15
- 2024Pessimistic Backward Policy for GFlowNetscited by 13
- 2025TR2-D2: Tree Search Guided Trajectory-Aware Fine-Tuning for Discrete Diffusioncited by 13
- 2024Optimizing Backward Policies in GFlowNets via Trajectory Likelihood Maximizationcited by 12
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- 2024Beyond Squared Error: Exploring Loss Design for Enhanced Training of Generative Flow Networkscited by 9
- 2024FERERO: A Flexible Framework for Preference-Guided Multi-Objective Learningcited by 9
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- 2024Generative AI for Controllable Protein Sequence Design: A Surveycited by 8
- 2025Hybrid-Balance GFlowNet for Solving Vehicle Routing Problemscited by 7
- 2023MolHF: A Hierarchical Normalizing Flow for Molecular Graph Generationcited by 6
- 2025Learning Flexible Forward Trajectories for Masked Molecular Diffusioncited by 6
- 2025Graph-structured Small Molecule Drug Discovery Through Deep Learning: Progress, Challenges, and Opportunitiescited by 5
- 2026Reference-guided Policy Optimization for Molecular Optimization via LLM Reasoningcited by 5
- 2024GFlowNet Pretraining with Inexpensive Rewardscited by 4
- 2025Pretraining Generative Flow Networks with Inexpensive Rewards for Molecular Graph Generationcited by 3
- 2024Preference-Optimized Pareto Set Learning for Blackbox Optimizationcited by 2
- 2026ToolMol: Evolutionary Agentic Framework for Multi-objective Drug Discoverycited by 2
- 2024MF-LAL: Drug Compound Generation Using Multi-Fidelity Latent Space Active Learningcited by 1
- 2025InversionGNN: A Dual Path Network for Multi-Property Molecular Optimizationcited by 1
- 2025Preferential Multi-Objective Bayesian Optimization for Drug Discoverycited by 1
- 2025Learning Design-Score Manifold to Guide Diffusion Models for Offline Optimizationcited by 1
- 2025BSL: A Unified and Generalizable Multitask Learning Platform for Virtual Drug Discovery from Design to Synthesiscited by 1
- 2025Training Text-to-Molecule Models with Context-Aware Tokenizationcited by 1
- 2025Curriculum-Augmented GFlowNets For mRNA Sequence Generationcited by 1
- 2025Transport-Coupled Bayesian Flows for Molecular Graph Generationcited by 1
- 2025Amortized Multi-Objective Optimization Across Tasks with Generative Solution Modelingcited by 1
- 2026LLM-Guided Dynamic Action Spaces for Synthesizable Molecular Optimizationcited by 1
- 2026Molecular Lead Optimization via Agentic Tool Planningcited by 1
- 2024Molecule Design by Latent Prompt Transformercited by 0
- 2024Training Greedy Policy for Proposal Batch Selection in Expensive Multi-Objective Combinatorial Optimizationcited by 0
- 2024Fragment-Masked Diffusion for Molecular Optimizationcited by 0
- 2025Beyond the Proxy: Trajectory-Distilled Guidance for Offline GFlowNet Trainingcited by 0
- 2025A study of EHVI vs fixed scalarization for molecule designcited by 0
- 2025Iterative Foundation Model Fine-Tuning on Multiple Rewardscited by 0
- 2026Signal from Structure: Exploiting Submodular Upper Bounds in Generative Flow Networkscited by 0
- 2026Controlling Exploration-Exploitation in GFlowNets via Markov Chain Perspectivescited by 0
- 2026Exploring Multiple High-Scoring Subspaces in Generative Flow Networkscited by 0
- 2026Routing by Reaching: Composition of Pre-trained GFlowNets for Multi-Objective Generationcited by 0
- 2026Particle GFlowNets: Rethinking Generative Marginalization Modelscited by 0
- 2026Converge Then Diversify: Decoupling Convergence and Diversity in Multi-Objective Bayesian Optimisationcited by 0
- 2026Converge Then Diversify: Decoupling Convergence and Diversity in Multi-Objective Bayesian Optimisation11 Sep 2026
- 2026Particle GFlowNets: Rethinking Generative Marginalization Models10 Sep 2026
- 2026Molecular Lead Optimization via Agentic Tool Planning21 May 2026
- 2026ToolMol: Evolutionary Agentic Framework for Multi-objective Drug Discovery12 May 2026
- 2026LLM-Guided Dynamic Action Spaces for Synthesizable Molecular Optimization9 Apr 2026
- 2026Reference-guided Policy Optimization for Molecular Optimization via LLM Reasoning6 Mar 2026
- 2026Routing by Reaching: Composition of Pre-trained GFlowNets for Multi-Objective Generation25 Feb 2026
- 2026Exploring Multiple High-Scoring Subspaces in Generative Flow Networks12 Feb 2026
- 2026Controlling Exploration-Exploitation in GFlowNets via Markov Chain Perspectives2 Feb 2026
- 2026Signal from Structure: Exploiting Submodular Upper Bounds in Generative Flow Networks28 Jan 2026
- 2025Amortized Multi-Objective Optimization Across Tasks with Generative Solution Modeling12 Nov 2025
- 2025Iterative Foundation Model Fine-Tuning on Multiple Rewards31 Oct 2025
36 more
- 2025Transport-Coupled Bayesian Flows for Molecular Graph Generation11 Oct 2025
- 2025Hybrid-Balance GFlowNet for Solving Vehicle Routing Problems6 Oct 2025
- 2025Curriculum-Augmented GFlowNets For mRNA Sequence Generation4 Oct 2025
- 2025TR2-D2: Tree Search Guided Trajectory-Aware Fine-Tuning for Discrete Diffusion29 Sep 2025
- 2025Training Text-to-Molecule Models with Context-Aware Tokenization30 Aug 2025
- 2025BSL: A Unified and Generalizable Multitask Learning Platform for Virtual Drug Discovery from Design to Synthesis2 Aug 2025
- 2025A study of EHVI vs fixed scalarization for molecule design18 Jul 2025
- 2025Learning Design-Score Manifold to Guide Diffusion Models for Offline Optimization6 Jun 2025
- 2025Beyond the Proxy: Trajectory-Distilled Guidance for Offline GFlowNet Training26 May 2025
- 2025Learning Flexible Forward Trajectories for Masked Molecular Diffusion22 May 2025
- 2025Preferential Multi-Objective Bayesian Optimization for Drug Discovery21 Mar 2025
- 2025Pretraining Generative Flow Networks with Inexpensive Rewards for Molecular Graph Generation8 Mar 2025
- 2025InversionGNN: A Dual Path Network for Multi-Property Molecular Optimization3 Mar 2025
- 2025Graph-structured Small Molecule Drug Discovery Through Deep Learning: Progress, Challenges, and Opportunities13 Feb 2025
- 2025Gradient-Based Multi-Objective Deep Learning: Algorithms, Theories, Applications, and Beyond19 Jan 2025
- 2024ParetoFlow: Guided Flows in Multi-Objective Optimization4 Dec 2024
- 2024FERERO: A Flexible Framework for Preference-Guided Multi-Objective Learning2 Dec 2024
- 2024Optimizing Backward Policies in GFlowNets via Trajectory Likelihood Maximization20 Oct 2024
- 2024MF-LAL: Drug Compound Generation Using Multi-Fidelity Latent Space Active Learning15 Oct 2024
- 2024Beyond Squared Error: Exploring Loss Design for Enhanced Training of Generative Flow Networks3 Oct 2024
- 2024GFlowNet Pretraining with Inexpensive Rewards15 Sep 2024
- 2024Preference-Optimized Pareto Set Learning for Blackbox Optimization19 Aug 2024
- 2024Fragment-Masked Diffusion for Molecular Optimization17 Aug 2024
- 2024Efficient Evolutionary Search Over Chemical Space with Large Language Models23 Jun 2024
- 2024Training Greedy Policy for Proposal Batch Selection in Expensive Multi-Objective Combinatorial Optimization21 Jun 2024
- 2024Few for Many: Tchebycheff Set Scalarization for Many-Objective Optimization30 May 2024
- 2024Pessimistic Backward Policy for GFlowNets25 May 2024
- 2024Ant Colony Sampling with GFlowNets for Combinatorial Optimization11 Mar 2024
- 2024Molecule Design by Latent Prompt Transformer27 Feb 2024
- 2024Generative AI for Controllable Protein Sequence Design: A Survey16 Feb 2024
- 2024Improved off-policy training of diffusion samplers7 Feb 2024
- 2024Genetic-guided GFlowNets for Sample Efficient Molecular Optimization5 Feb 2024
- 2024Panacea: Pareto Alignment via Preference Adaptation for LLMs3 Feb 2024
- 2024Graph Diffusion Transformers for Multi-Conditional Molecular Generation24 Jan 2024
- 2023Molecule Design by Latent Prompt Transformer5 Oct 2023
- 2023MolHF: A Hierarchical Normalizing Flow for Molecular Graph Generation15 May 2023
- 2024Improved off-policy training of diffusion samplerscited by 47
- 2024Graph Diffusion Transformers for Multi-Conditional Molecular Generationcited by 44
- 2025TR2-D2: Tree Search Guided Trajectory-Aware Fine-Tuning for Discrete Diffusioncited by 13
- 2025Learning Flexible Forward Trajectories for Masked Molecular Diffusioncited by 6
- 2025Learning Design-Score Manifold to Guide Diffusion Models for Offline Optimizationcited by 1
- 2025TR2-D2: Tree Search Guided Trajectory-Aware Fine-Tuning for Discrete Diffusion29 Sep 2025
- 2025Learning Design-Score Manifold to Guide Diffusion Models for Offline Optimization6 Jun 2025
- 2025Learning Flexible Forward Trajectories for Masked Molecular Diffusion22 May 2025
- 2024Improved off-policy training of diffusion samplers7 Feb 2024
- 2024Graph Diffusion Transformers for Multi-Conditional Molecular Generation24 Jan 2024
- 2024Panacea: Pareto Alignment via Preference Adaptation for LLMscited by 78
- 2024Efficient Evolutionary Search Over Chemical Space with Large Language Modelscited by 59
- 2024Ant Colony Sampling with GFlowNets for Combinatorial Optimizationcited by 53
- 2024Genetic-guided GFlowNets for Sample Efficient Molecular Optimizationcited by 36
- 2024ParetoFlow: Guided Flows in Multi-Objective Optimizationcited by 17
- 2024Few for Many: Tchebycheff Set Scalarization for Many-Objective Optimizationcited by 15
- 2025Gradient-Based Multi-Objective Deep Learning: Algorithms, Theories, Applications, and Beyondcited by 15
- 2024Pessimistic Backward Policy for GFlowNetscited by 13
- 2024Optimizing Backward Policies in GFlowNets via Trajectory Likelihood Maximizationcited by 12
- 2024Beyond Squared Error: Exploring Loss Design for Enhanced Training of Generative Flow Networkscited by 9
- 2024FERERO: A Flexible Framework for Preference-Guided Multi-Objective Learningcited by 9
- 2023Molecule Design by Latent Prompt Transformercited by 8
- 2024Generative AI for Controllable Protein Sequence Design: A Surveycited by 8
12 most cited of 39 All 39 (JSON)
- 2026Converge Then Diversify: Decoupling Convergence and Diversity in Multi-Objective Bayesian Optimisation11 Sep 2026
- 2026Particle GFlowNets: Rethinking Generative Marginalization Models10 Sep 2026
- 2026LLM-Guided Dynamic Action Spaces for Synthesizable Molecular Optimization9 Apr 2026
- 2026Routing by Reaching: Composition of Pre-trained GFlowNets for Multi-Objective Generation25 Feb 2026
- 2026Exploring Multiple High-Scoring Subspaces in Generative Flow Networks12 Feb 2026
- 2026Controlling Exploration-Exploitation in GFlowNets via Markov Chain Perspectives2 Feb 2026
- 2026Signal from Structure: Exploiting Submodular Upper Bounds in Generative Flow Networks28 Jan 2026
- 2025Amortized Multi-Objective Optimization Across Tasks with Generative Solution Modeling12 Nov 2025
- 2025Iterative Foundation Model Fine-Tuning on Multiple Rewards31 Oct 2025
- 2025Transport-Coupled Bayesian Flows for Molecular Graph Generation11 Oct 2025
- 2025Hybrid-Balance GFlowNet for Solving Vehicle Routing Problems6 Oct 2025
- 2025Curriculum-Augmented GFlowNets For mRNA Sequence Generation4 Oct 2025
12 newest of 39 All 39 (JSON)