Deep Gravity: enhancing mobility flows generation with deep neural networks and geographic information
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Abstract (arXiv)
The movements of individuals within and among cities influence critical aspects of our society, such as well-being, the spreading of epidemics, and the quality of the environment. When information about mobility flows is not available for a particular region of interest, we must rely on mathematical models to generate them. In this work, we propose the Deep Gravity model, an effective method to generate flow probabilities that exploits many variables (e.g., land use, road network, transport, food, health facilities) extracted from voluntary geographic data, and uses deep neural networks to discover non-linear relationships between those variables and mobility flows. Our experiments, conducted on mobility flows in England, Italy, and New York State, show that Deep Gravity has good geographic generalization capability, achieving a significant increase in performance (especially in densely populated regions of interest) with respect to the classic gravity model and models that do not use deep neural networks or geographic data. We also show how flows generated by Deep Gravity may be explained in terms of the geographic features using explainable AI techniques.
Key facts. Cited by 58 papers in the map (data through 13 Oct 2026). First posted on arXiv 1 Dec 2020.
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Citing papers per year: 2022: 6; 2023: 9; 2024: 10; 2025: 17; 2026: 16.
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- 2023On the Opportunities and Challenges of Foundation Models for Geospatial Artificial Intelligencecited by 88
- 2024ControlTraj: Controllable Trajectory Generation with Topology-Constrained Diffusion Modelcited by 48
- 2023Human-AI Coevolutioncited by 27
- 2024Trajectory Data Management and Mining: A Survey from Deep Learning to the LLM Eracited by 23
- 2024Large Language Models are Zero-Shot Next Location Predictorscited by 22
- 2023Towards Generative Modeling of Urban Flow through Knowledge-enhanced Denoising Diffusioncited by 17
- 2025Bridging Traffic State and Trajectory for Dynamic Road Network and Trajectory Representation Learningcited by 14
- 2023Human mobility is well described by closed-form gravity-like models learned automatically from datacited by 11
- 2022A deep inverse reinforcement learning approach to route choice modeling with context-dependent rewardscited by 10
- 2023Complexity-aware Large Scale Origin-Destination Network Generation via Diffusion Modelcited by 9
- 2023Deep trip generation with graph neural networks for bike sharing system expansioncited by 8
- 2023Origin-Destination Network Generation via Gravity-Guided GANcited by 8
38 more
- 2022Cross-Mode Knowledge Adaptation for Bike Sharing Demand Prediction using Domain-Adversarial Graph Neural Networkscited by 7
- 2024Noise Matters: Diffusion Model-based Urban Mobility Generation with Collaborative Noise Priorscited by 7
- 2023CATS: Conditional Adversarial Trajectory Synthesis for Privacy-Preserving Trajectory Data Publication Using Deep Learning Approachescited by 6
- 2024MobilityDL: A Review of Deep Learning From Trajectory Datacited by 6
- 2022Generating Synthetic Mobility Networks with Generative Adversarial Networkscited by 5
- 2022Human Mobility Prediction with Causal and Spatial-constrained Multi-task Networkcited by 5
- 2024Enhancing Global Maritime Traffic Network Forecasting with Gravity-Inspired Deep Learning Modelscited by 5
- 2026TrajFlow: Nation-wide Pseudo GPS Trajectory Generation with Flow Matching Modelscited by 4
- 2024TransFlower: An Explainable Transformer-Based Model with Flow-to-Flow Attention for Commuting Flow Predictioncited by 2
- 2025Satellites Reveal Mobility: A Commuting Origin-destination Flow Generator for Global Citiescited by 2
- 2025Towards Physics-informed Diffusion for Anomaly Detection in Trajectoriescited by 2
- 2025A Gravity-informed Spatiotemporal Transformer for Human Activity Intensity Predictioncited by 2
- 2025A Survey of Physics-Informed AI for Complex Urban Systemscited by 2
- 2026Transferable Human Mobility Network Reconstruction with neuroGravitycited by 2
- 2022Enhancing crowd flow prediction in various spatial and temporal granularitiescited by 1
- 2023FairMobi-Net: A Fairness-aware Deep Learning Model for Urban Mobility Flow Generationcited by 1
- 2024Explainable Hierarchical Urban Representation Learning for Commuting Flow Predictioncited by 1
- 2026Student Flow Modeling for School Decongestion via Stochastic Gravity Estimation and Constrained Spatial Allocationcited by 1
- 2022Predicting the impact of urban change in pedestrian and road safetycited by 0
- 2024A Deep Learning Representation of Spatial Interaction Model for Resilient Spatial Planning of Community Business Clusterscited by 0
- 2024Discovering Cyclists' Visual Preferences Through Shared Bike Trajectories and Street View Images Using Inverse Reinforcement Learningcited by 0
- 2025RegionGCN: Spatial-Heterogeneity-Aware Graph Convolutional Networkscited by 0
- 2025Identifying and Characterising Higher Order Interactions in Mobility Networks Using Hypergraphscited by 0
- 2025ProDiff: Prototype-Guided Diffusion for Minimal Information Trajectory Imputationcited by 0
- 2025A Data-Driven Approach to Enhancing Gravity Models for Trip Demand Predictioncited by 0
- 2025Transit for All: Mapping Equitable Bike2Subway Connection using Region Representation Learningcited by 0
- 2025Deep learning four decades of human migrationcited by 0
- 2025TS-Mob: Social and Geographical-Aware Time Series Foundation-Model Framework for Human Mobility Predictioncited by 0
- 2025Sat2Flow: A Structure-Aware Diffusion Framework for Human Flow Generation from Satellite Imagerycited by 0
- 2025VisitHGNN: Heterogeneous Graph Neural Networks for Modeling Point-of-Interest Visit Patternscited by 0
- 2025Deep Generative Model for Human Mobility Behaviorcited by 0
- 2025M-STAR: Multi-Scale Spatiotemporal Autoregression for Human Mobility Modelingcited by 0
- 2025AMBIT: Augmenting Mobility Baselines with Interpretable Treescited by 0
- 2026Physics-Informed Neural Network with Adaptive Clustering Learning Mechanism for Information Popularity Predictioncited by 0
- 2026Interpretable long-term traffic modelling on national road networks using theory-informed deep learningcited by 0
- 2026Fusing Urban Structure and Semantics: A Conditional Diffusion Model for Cross-City OD Matrix Generationcited by 0
- 2026From GPS Points to Travel Patterns: Flexible and Semantic Trajectory Generation with LLMscited by 0
- 2026DynaOD: Dynamic Origin-Destination Flow Generation with Discrete-to-Continuous Temporal Semantic Modelingcited by 0
50 most cited of 58 All 58 (JSON)
- 2026Inferring Urban Mobility Interactions from Aggregated Dynamics7 Sep 2026
- 2026A Constraint-Aware Generative Framework for Synthetic Origin-Destination Demand in Logistics Networks3 Sep 2026
- 2026Do Satellites See Commuters? A Critical Benchmark of Vision Foundation Models1 Sep 2026
- 2026Quantifying geographic domain shift to decouple the geospatial transferability of human mobility flow generation models21 Aug 2026
- 2026LE4Mob: Towards Inductive, Distance-Aware and General-Purpose Location Embedding for Human Mobility Modelling19 Aug 2026
- 2026SalAngaBhava: A Sinhala Market Dataset for Aspect-based Sentiment Analysis6 Jul 2026
- 2026OpFlow: Learning Opportunity-Conditioned Choice Potentials for Robust OD Flow Prediction3 Jul 2026
- 2026EventOD: Event-Aware OD Flow Generation via LLM-Guided Semantic Modulation26 Jun 2026
- 2026DynaOD: Dynamic Origin-Destination Flow Generation with Discrete-to-Continuous Temporal Semantic Modeling8 Jun 2026
- 2026From GPS Points to Travel Patterns: Flexible and Semantic Trajectory Generation with LLMs28 May 2026
- 2026Fusing Urban Structure and Semantics: A Conditional Diffusion Model for Cross-City OD Matrix Generation1 May 2026
- 2026Transferable Human Mobility Network Reconstruction with neuroGravity26 Apr 2026
38 more
- 2026Interpretable long-term traffic modelling on national road networks using theory-informed deep learning27 Mar 2026
- 2026Physics-Informed Neural Network with Adaptive Clustering Learning Mechanism for Information Popularity Prediction20 Mar 2026
- 2026TrajFlow: Nation-wide Pseudo GPS Trajectory Generation with Flow Matching Models16 Mar 2026
- 2026Student Flow Modeling for School Decongestion via Stochastic Gravity Estimation and Constrained Spatial Allocation20 Feb 2026
- 2025AMBIT: Augmenting Mobility Baselines with Interpretable Trees27 Dec 2025
- 2025M-STAR: Multi-Scale Spatiotemporal Autoregression for Human Mobility Modeling8 Dec 2025
- 2025Deep Generative Model for Human Mobility Behavior7 Oct 2025
- 2025VisitHGNN: Heterogeneous Graph Neural Networks for Modeling Point-of-Interest Visit Patterns3 Oct 2025
- 2025Sat2Flow: A Structure-Aware Diffusion Framework for Human Flow Generation from Satellite Imagery27 Aug 2025
- 2025TS-Mob: Social and Geographical-Aware Time Series Foundation-Model Framework for Human Mobility Prediction1 Jul 2025
- 2025Deep learning four decades of human migration28 Jun 2025
- 2025Transit for All: Mapping Equitable Bike2Subway Connection using Region Representation Learning18 Jun 2025
- 2025A Gravity-informed Spatiotemporal Transformer for Human Activity Intensity Prediction16 Jun 2025
- 2025A Survey of Physics-Informed AI for Complex Urban Systems9 Jun 2025
- 2025Towards Physics-informed Diffusion for Anomaly Detection in Trajectories8 Jun 2025
- 2025ProDiff: Prototype-Guided Diffusion for Minimal Information Trajectory Imputation29 May 2025
- 2025Satellites Reveal Mobility: A Commuting Origin-destination Flow Generator for Global Cities21 May 2025
- 2025A Data-Driven Approach to Enhancing Gravity Models for Trip Demand Prediction9 May 2025
- 2025Identifying and Characterising Higher Order Interactions in Mobility Networks Using Hypergraphs24 Mar 2025
- 2025Bridging Traffic State and Trajectory for Dynamic Road Network and Trajectory Representation Learning8 Feb 2025
- 2025RegionGCN: Spatial-Heterogeneity-Aware Graph Convolutional Networks29 Jan 2025
- 2024Noise Matters: Diffusion Model-based Urban Mobility Generation with Collaborative Noise Priors6 Dec 2024
- 2024Discovering Cyclists' Visual Preferences Through Shared Bike Trajectories and Street View Images Using Inverse Reinforcement Learning5 Sep 2024
- 2024Explainable Hierarchical Urban Representation Learning for Commuting Flow Prediction27 Aug 2024
- 2024Large Language Models are Zero-Shot Next Location Predictors31 May 2024
- 2024ControlTraj: Controllable Trajectory Generation with Topology-Constrained Diffusion Model23 Apr 2024
- 2024Trajectory Data Management and Mining: A Survey from Deep Learning to the LLM Era21 Mar 2024
- 2024TransFlower: An Explainable Transformer-Based Model with Flow-to-Flow Attention for Commuting Flow Prediction23 Feb 2024
- 2024MobilityDL: A Review of Deep Learning From Trajectory Data1 Feb 2024
- 2024Enhancing Global Maritime Traffic Network Forecasting with Gravity-Inspired Deep Learning Models23 Jan 2024
- 2024A Deep Learning Representation of Spatial Interaction Model for Resilient Spatial Planning of Community Business Clusters9 Jan 2024
- 2023Human mobility is well described by closed-form gravity-like models learned automatically from data18 Dec 2023
- 2023CATS: Conditional Adversarial Trajectory Synthesis for Privacy-Preserving Trajectory Data Publication Using Deep Learning Approaches20 Sep 2023
- 2023Towards Generative Modeling of Urban Flow through Knowledge-enhanced Denoising Diffusion19 Sep 2023
- 2023FairMobi-Net: A Fairness-aware Deep Learning Model for Urban Mobility Flow Generation20 Jul 2023
- 2023Human-AI Coevolution23 Jun 2023
- 2023Complexity-aware Large Scale Origin-Destination Network Generation via Diffusion Model8 Jun 2023
- 2023Origin-Destination Network Generation via Gravity-Guided GAN6 Jun 2023
50 newest of 58 All 58 (JSON)
- 2024ControlTraj: Controllable Trajectory Generation with Topology-Constrained Diffusion Modelcited by 48
- 2023Towards Generative Modeling of Urban Flow through Knowledge-enhanced Denoising Diffusioncited by 17
- 2023Complexity-aware Large Scale Origin-Destination Network Generation via Diffusion Modelcited by 9
- 2024Noise Matters: Diffusion Model-based Urban Mobility Generation with Collaborative Noise Priorscited by 7
- 2025ProDiff: Prototype-Guided Diffusion for Minimal Information Trajectory Imputationcited by 0
- 2026Fusing Urban Structure and Semantics: A Conditional Diffusion Model for Cross-City OD Matrix Generationcited by 0
- 2026Fusing Urban Structure and Semantics: A Conditional Diffusion Model for Cross-City OD Matrix Generation1 May 2026
- 2025ProDiff: Prototype-Guided Diffusion for Minimal Information Trajectory Imputation29 May 2025
- 2024Noise Matters: Diffusion Model-based Urban Mobility Generation with Collaborative Noise Priors6 Dec 2024
- 2024ControlTraj: Controllable Trajectory Generation with Topology-Constrained Diffusion Model23 Apr 2024
- 2023Towards Generative Modeling of Urban Flow through Knowledge-enhanced Denoising Diffusion19 Sep 2023
- 2023Complexity-aware Large Scale Origin-Destination Network Generation via Diffusion Model8 Jun 2023
- 2023On the Opportunities and Challenges of Foundation Models for Geospatial Artificial Intelligencecited by 88
- 2023Human-AI Coevolutioncited by 27
- 2024Trajectory Data Management and Mining: A Survey from Deep Learning to the LLM Eracited by 23
- 2024Large Language Models are Zero-Shot Next Location Predictorscited by 22
- 2025Bridging Traffic State and Trajectory for Dynamic Road Network and Trajectory Representation Learningcited by 14
- 2023Human mobility is well described by closed-form gravity-like models learned automatically from datacited by 11
- 2023Deep trip generation with graph neural networks for bike sharing system expansioncited by 8
- 2023Origin-Destination Network Generation via Gravity-Guided GANcited by 8
- 2022Cross-Mode Knowledge Adaptation for Bike Sharing Demand Prediction using Domain-Adversarial Graph Neural Networkscited by 7
- 2023CATS: Conditional Adversarial Trajectory Synthesis for Privacy-Preserving Trajectory Data Publication Using Deep Learning Approachescited by 6
- 2024MobilityDL: A Review of Deep Learning From Trajectory Datacited by 6
- 2022Generating Synthetic Mobility Networks with Generative Adversarial Networkscited by 5
12 most cited of 50 All 50 (JSON)
- 2026Inferring Urban Mobility Interactions from Aggregated Dynamics7 Sep 2026
- 2026A Constraint-Aware Generative Framework for Synthetic Origin-Destination Demand in Logistics Networks3 Sep 2026
- 2026Do Satellites See Commuters? A Critical Benchmark of Vision Foundation Models1 Sep 2026
- 2026Quantifying geographic domain shift to decouple the geospatial transferability of human mobility flow generation models21 Aug 2026
- 2026LE4Mob: Towards Inductive, Distance-Aware and General-Purpose Location Embedding for Human Mobility Modelling19 Aug 2026
- 2026SalAngaBhava: A Sinhala Market Dataset for Aspect-based Sentiment Analysis6 Jul 2026
- 2026OpFlow: Learning Opportunity-Conditioned Choice Potentials for Robust OD Flow Prediction3 Jul 2026
- 2026EventOD: Event-Aware OD Flow Generation via LLM-Guided Semantic Modulation26 Jun 2026
- 2026DynaOD: Dynamic Origin-Destination Flow Generation with Discrete-to-Continuous Temporal Semantic Modeling8 Jun 2026
- 2026From GPS Points to Travel Patterns: Flexible and Semantic Trajectory Generation with LLMs28 May 2026
- 2026Transferable Human Mobility Network Reconstruction with neuroGravity26 Apr 2026
- 2026Interpretable long-term traffic modelling on national road networks using theory-informed deep learning27 Mar 2026
12 newest of 50 All 50 (JSON)