DiffTraj: Generating GPS Trajectory with Diffusion Probabilistic Model

Pervasive integration of GPS-enabled devices and data acquisition technologies has led to an exponential increase in GPS trajectory data, fostering advancements in spatial-temporal data mining research. Nonetheless, GPS trajectories contain personal geolocation information, rendering serious privacy concerns when working with raw data. A promising approach to address this issue is trajectory generation, which involves replacing original data with generated, privacy-free alternatives. Despite the potential of trajectory generation, the complex nature of human behavior and its inherent stochastic characteristics pose challenges in generating high-quality trajectories. In this work, we propose a spatial-temporal diffusion probabilistic model for trajectory generation (DiffTraj). This model effectively combines the generative abilities of diffusion models with the spatial-temporal features derived from real trajectories. The core idea is to reconstruct and synthesize geographic trajectories from white noise through a reverse trajectory denoising process. Furthermore, we propose a Trajectory UNet (Traj-UNet) deep neural network to embed conditional information and accurately estimate noise levels during the reverse process. Experiments on two real-world datasets show that DiffTraj can be intuitively applied to generate high-fidelity trajectories while retaining the original distributions. Moreover, the generated results can support downstream trajectory analysis tasks and significantly outperform other methods in terms of geo-distribution evaluations.

Paper

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Peer review

Reviewer 8UQL7/10 · confidence 4/52023-06-20

Summary

The paper proposes DiffTraj: a trajectory generation model based on probabilistic diffusion. The model is trained using real spatio-temporal trajectory data, and aims to generate new trajectories with similar characteristics. This is motivated by the purpose of preserving privacy information that may be present in the actual data. Like all diffusion-based models, the proposed model has a forward and a reverse process, and the latter has an U-Net component, whose importance is highlighted in the ablation studies. Contextual information such as the starting time and location can be provided as input to the model in an encoded form, using a neural network trained on the actual dataset. The influence of this contextual information on the generated data can be controlled by a parameter. It is shown that the trajectories generated by DiffTraj are statistically more similar to the original ones (in two datasets) compared to other trajectory generation models. It is also shown that the trajectories generated by DiffTraj can be used instead of the original trajectories to train models for downstream tasks such as inflow and outflow predictions from particular blocks in the cities.

Strengths

1) A new model DiffTraj is proposed for trajectory generation. It uses the currently popular probabilistic diffusion framework, but modifies it to bring in encoded contextual information, and an U-Net component in the reverse process to predict the noise levels for every next step 2) Good generative performance is shown, where the trajectories generated by this approach are shown to be statistically more similar to the original ones compared to those generated by other methods 3) The authors explore various practical uses of their model, such as downstream tasks (eg. inflow/outflow prediction), transfer learning (training model on one city and adapting it to another) etc

Weaknesses

1) The model considers all trajectories as IID and does not aim to utilize any notion of "trajectory clustering" into their model. [In their defence, the encoded contextual information may carry such clues] 2) The downstream task experiment is introduced almost as an afterthought, though such tasks seem to be the main motivation for the work. Also, these experiments seem to be incomplete [see questions below] 3) The model includes U-Net as an important component for the reverse process, and its success is highlighted through ablation studies. But the exact role or contribution of the U-Net is not discussed 4) The evaluation metrics used seem to be based mainly on spatial aspects, not temporal aspects Overall, I like the broad idea of the paper. I am willing to improve my ratings if the authors can address my concerns.

Questions

1) I would expect the trajectories in any city to have "clustering" tendencies, some origins and destinations maybe "hotspots", some road segments (eg. highways) maybe "hotspots", etc. Similarly, there may be peak hours of trajectories. Or, certain types of trajectories may be more common in certain hours of the day (eg. those heading to downtown office areas during morning hours). Do you think DiffTraj can produce these features in their simulations? 2) If not, is it possible to incorporate them into the model somehow? 3) Can we have evaluation metrics based on time and velocity, instead of only space-based measures (trip error, length error etc)? 4) In the downstream experiment, it is shown that various models perform almost equally when trained using the generated data instead of the actual data. But to really make the point, it should be shown that these models would have performed less well had they been trained with trajectories generated by some other baseline models 5) What is the exact role played by the U-Net in the reverse process? Could any other architecture not have played the same role? 6) If we want trajectories for a particular downstream task, can we get better results if we can use task-specific loss functions while training? 7) What do the figures in Fig2 convey? Are they obtained by overlaying a set of trajectories?

Rating

7: Accept: Technically solid paper, with high impact on at least one sub-area, or moderate-to-high impact on more than one areas, with good-to-excellent evaluation, resources, reproducibility, and no unaddressed ethical considerations.

Confidence

4: You are confident in your assessment, but not absolutely certain. It is unlikely, but not impossible, that you did not understand some parts of the submission or that you are unfamiliar with some pieces of related work.

Soundness

3 good

Presentation

3 good

Contribution

3 good

Limitations

NA

Reviewer uaXp7/10 · confidence 5/52023-07-03

Summary

The paper provides an innovative diffusion probabilistic-based model to simulate realistic GPS trajectories. The main contributions are as follows: 1) The paper introduces a diffusion-based probabilistic model that captures spatio-temporal dependencies in GPS trajectories. This model allows for personalized trajectory generation, considering individual preferences and behaviors. 2) The proposed approach generates personalized trajectories for individual users, enhancing the realism and accuracy of the generated trajectories compared to traditional methods. 3) By incorporating real-world GPS data, the generated trajectories closely resemble actual user movements, making them suitable for various location-based applications. 4) The paper demonstrates the scalability of the proposed method, enabling the generation of large-scale trajectory datasets efficiently. 5) The authors perform an extensive experiment of the proposed approach, comparing it with existing trajectory generation methods, showcasing its superiority in terms of trajectory realism and diversity. Overall, the paper presents a significant advancement in trajectory generation by introducing a diffusion probabilistic model and demonstrating its effectiveness in generating personalized and realistic GPS trajectories. The approach has the potential to impact various domains, including LBSs, transportation, and urban planning.

Strengths

1.Generating realistic and personalized GPS trajectories has wide-ranging applications in various fields. The paper addresses this important problem and proposes a solution that has the potential to enhance applications such as LBSs, transportation, and urban planning. The diffusion probabilistic model offers a novel perspective and advances the state-of-the-art in trajectory modeling and generation. 2.The proposed approach generates personalized trajectories, allowing for a more accurate representation of individual user movements. This customization increases the applicability of the method in various domains. The generated trajectories closely resemble actual user movements, exhibiting realistic patterns and behaviors. This realism enhances the reliability and usability of the trajectories for real-world applications. 3.The authors present a well-designed study, including an extensive evaluation of their method using real-world datasets and appropriate statistical analysis. The experiments and comparisons with baseline methods demonstrate the robustness and effectiveness of their approach. The evaluation is thorough and includes relevant metrics, ensuring the validity and reliability of the presented results. 4.The proposed approach demonstrates scalability and efficiency in handling large datasets. This characteristic makes it suitable for real-time applications, where processing speed and performance are crucial. The work presented in the paper has the potential to advance the field of trajectory generation, providing a valuable tool for generating context-aware GPS trajectories. The paper's contributions can benefit various domains that rely on precise GPS data for decision-making and analysis. 5.The paper is well-written and organized, effectively conveying the methodology, experimental setup, and results. The logical flow and clear explanations contribute to the ease of understanding for readers.

Weaknesses

1. Some details of experiment setup are not clearly provided, such as datasets, metrics, and baselines. 2. While the paper provides detailed descriptions of the proposed method, the absence of an openly available implementation or codebase limits reproducibility and further exploration by the research community. 3. It is better to discuss about the generality of the propose model. Can it be applied to other application domains?

Questions

1. How does DiffTraj handle potential privacy concerns associated with generating realistic trajectories? 2. Could you provide more details on the selection of baseline methods for comparison and why these specific methods were chosen? Are there any plans to release the implementation or codebase of the proposed method to facilitate replication and further research in trajectory generation?

Rating

7: Accept: Technically solid paper, with high impact on at least one sub-area, or moderate-to-high impact on more than one areas, with good-to-excellent evaluation, resources, reproducibility, and no unaddressed ethical considerations.

Confidence

5: You are absolutely certain about your assessment. You are very familiar with the related work and checked the math/other details carefully.

Soundness

4 excellent

Presentation

3 good

Contribution

4 excellent

Limitations

The availability and accessibility of the datasets used in the experiments should be clearly stated.

Reviewer gS1x8/10 · confidence 4/52023-07-04

Summary

The paper introduces a good approach for generating realistic GPS trajectories based on a diffusion probabilistic model. The paper addresses the challenge of generating personalized trajectories that capture both temporal and spatial dependencies while ensuring privacy preservation. The paper proposes the DiffTraj framework, which combines a personalized transition matrix and a diffusion process to generate trajectories that closely resemble real-world GPS data. The personalized transition matrix captures the individual movement patterns of users, while the diffusion process introduces randomness and ensures diversity in the generated trajectories. Overall, the model is reasonable. The paper presents a comprehensive evaluation of the DiffTraj framework using real-world datasets. The experimental results demonstrate that DiffTraj outperforms existing trajectory generation methods in various aspects. The proposed approach achieves high accuracy in replicating individual movement patterns while maintaining privacy by generating trajectories that deviate from the original data.

Strengths

1 The paper introduces a unique approach to GPS trajectory generation by utilizing a diffusion probabilistic model, setting it apart from existing methods that may rely on different techniques or assumptions. The proposed diffusion probabilistic model captures both temporal and spatial dependencies, allowing for more accurate trajectory generation. This consideration enhances the realism and relevance of the generated trajectories. The diffusion probabilistic model captures both spatial and temporal dependencies, enabling the generation of trajectories that reflect the underlying dynamics of user movements. 2 Incorporating user preferences into the trajectory generation process adds a personalized aspect, enhancing the relevance and usefulness of the generated trajectories for individual users. This feature contributes to the practicality and applicability of the proposed method. The generated trajectories exhibit high diversity, capturing the variability in user behaviors and preferences. This diversity expands the range of applications where the trajectories can be utilized. 3 The paper provides a comprehensive comparison with baseline methods, showcasing the advantages of the proposed approach. The comparisons highlight the strengths and improvements of the diffusion probabilistic model for trajectory generation. The authors provide sufficient details and code availability, enabling other researchers to reproduce the experiments and verify the results. This transparency contributes to the reliability and integrity of the presented work. 4 The paper discusses potential applications of the proposed method beyond trajectory generation, such as urban planning, transportation analysis, and location-based services. This discussion broadens the scope of the paper and highlights its practical relevance.

Weaknesses

1 The paper could provide more in-depth discussions on the assumptions made by the diffusion probabilistic model and their potential impact on the generated trajectories. Understanding these assumptions is crucial for interpreting and contextualizing the results. 2 No clear instruction is provided on how the hyperparameters are selected for DiffTraj.

Questions

1 How does the proposed diffusion probabilistic model capture both temporal and spatial dependencies in the trajectory generation process? 2 Can you elaborate on the generalizability of your approach to different geographic areas and datasets? 3 Can you explicitly state the limitations of your approach and discuss potential avenues for addressing them in future work? Acknowledging limitations and outlining future research directions would guide the community in further advancing trajectory generation methods.

Rating

8: Strong Accept: Technically strong paper, with novel ideas, excellent impact on at least one area, or high-to-excellent impact on multiple areas, with excellent evaluation, resources, and reproducibility, and no unaddressed ethical considerations.

Confidence

4: You are confident in your assessment, but not absolutely certain. It is unlikely, but not impossible, that you did not understand some parts of the submission or that you are unfamiliar with some pieces of related work.

Soundness

3 good

Presentation

3 good

Contribution

3 good

Limitations

The generalizability of the approach to diverse scenarios and datasets could be a limitation that warrants further exploration.

Reviewer nB5g4/10 · confidence 4/52023-07-09

Summary

This paper adapts DDPM for trajectory generation within smart cities. The major contributions include the combination of different factors and the integration of some existing modules. The experiments over two real-world datasets can demonstrate the efficacy of the proposed model.

Strengths

1. The paper is well-written and easy to follow. 2. The paper addresses an essential and important task in spatio-temporal data mining. 3. The experiments demonstrate the effectiveness of the proposed model over two real-world datasets.

Weaknesses

1. Technical contribution is a bit weak. DDPM is popular in the era of AIGC. The paper adapts DDPM to trajectory generation but lacks novel or innovative designs. This drawback can be also seen in recent studies that borrow the idea of DDPMs to spatio-temporal data mining, e.g., DiffSTG [1]. By the way, this paper is very similar to DiffSTG, from model design to speed-up. 2. The paper suggests that incorporating the influence of external factors is challenging, but this claim may not be entirely supported. To the best of my knowledge, existing models can easily handle such influence, e.g., conditional GAN. As the proposed model simply integrates these factors as a condition in DDPM, it is unclear why capturing external factors would pose a significant challenge. Additionally, the paper lacks an ablation study that examines the impact of these external factors on the proposed model's performance. 3. To establish the generalizability of the proposed model, more real-world datasets from diverse applications and domains are needed. The exclusive use of datasets from DiDi in this paper limits the scope of the model's applicability and may not reflect its performance on other datasets. 4. The paper omits some important related work, such as [1, 2, 3]. Furthermore, [3] and [4, 5] (included in the paper) should be used as baselines for comparison to provide a comprehensive evaluation of the proposed model's performance. Ref: [1] Wen, Haomin, et al. "Diffstg: Probabilistic spatio-temporal graph forecasting with denoising diffusion models." arXiv preprint arXiv:2301.13629 (2023). [2] Yuan, Yuan, et al. "Spatio-temporal Diffusion Point Processes." arXiv preprint arXiv:2305.12403 (2023). [3] Feng, Jie, et al. "Learning to simulate human mobility." Proceedings of the 26th ACM SIGKDD international conference on knowledge discovery & data mining. 2020. [4] Liu, Xi, Hanzhou Chen, and Clio Andris. "trajGANs: Using generative adversarial networks for geo-privacy protection of trajectory data (Vision paper)." Location privacy and security workshop. 2018. [5] Zhang, Jing, et al. "Dp-trajgan: A privacy-aware trajectory generation model with differential privacy." Future Generation Computer Systems 142 (2023): 25-40.

Questions

Please answer the questions in the weaknesses.

Rating

4: Borderline reject: Technically solid paper where reasons to reject, e.g., limited evaluation, outweigh reasons to accept, e.g., good evaluation. Please use sparingly.

Confidence

4: You are confident in your assessment, but not absolutely certain. It is unlikely, but not impossible, that you did not understand some parts of the submission or that you are unfamiliar with some pieces of related work.

Soundness

3 good

Presentation

3 good

Contribution

2 fair

Limitations

No

Reviewer 8UQL2023-08-11

I thank the authors for their detailed responses to my questions. I am quite satisfied, and hence I am upgrading my rating. I suggest that the authors include the points about prominence of certain trajectories, and the comparison with GAN and VaE (for the inflow/outflow experiment), in the final version of the paper if accepted.

Authorsrebuttal2023-08-15

We appreciate the opportunity to clarify the question. We certainly (if accepted) add the content of our discussion in a subsequent version. Thank you again for your review and insightful suggestions.

Reviewer gS1x2023-08-13

Response to the Rebuttal

Thanks for the authors' detailed responses. The answers from the authors have fully addressed my questions about the paper. I have no more concerns with the technique. I am also content with the feedback to my question about "generalizability" that the authors supplement more datasets with good discussion. Taking all into consideration, I would raise my score. The information we discussed including the model clarification, generalizability, and potential future directions, are suggested to be put in a further version.

Authorsrebuttal2023-08-15

We are truly grateful to the reviewer for taking the time to carefully assess our work and provide thoughtful feedback. Your suggestions, especially on model clarification and generalizability, have greatly improved our paper.

Reviewer uaXp2023-08-13

I appreciate the response from the authors. My major concerns have been resolved with the answers. I think the paper quality is improved to a satisfactory level. I would like to update my assessment accordingly.

Authorsrebuttal2023-08-15

We sincerely appreciate the reviewer's comprehensive feedback and positive remarks. Your suggestion is invaluable and will guide our next steps in refining the paper.

Program Chairsdecision2023-09-21

Decision

Accept (poster)

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