{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/identifying-sources-and-sinks-in-the-presence","title":"Identifying Sources and Sinks in the Presence of Multiple Agents with Gaussian Process Vector Calculus","arxiv_id":"1802.10446","date":"2018-02-22","proceeding":null,"authors":["Adam D. Cobb","Richard Everett","Andrew Markham","Stephen J. Roberts"],"abstract":"In systems of multiple agents, identifying the cause of observed agent\ndynamics is challenging. Often, these agents operate in diverse, non-stationary\nenvironments, where models rely on hand-crafted environment-specific features\nto infer influential regions in the system's surroundings. To overcome the\nlimitations of these inflexible models, we present GP-LAPLACE, a technique for\nlocating sources and sinks from trajectories in time-varying fields. Using\nGaussian processes, we jointly infer a spatio-temporal vector field, as well as\ncanonical vector calculus operations on that field. Notably, we do this from\nonly agent trajectories without requiring knowledge of the environment, and\nalso obtain a metric for denoting the significance of inferred causal features\nin the environment by exploiting our probabilistic method. To evaluate our\napproach, we apply it to both synthetic and real-world GPS data, demonstrating\nthe applicability of our technique in the presence of multiple agents, as well\nas its superiority over existing methods.","url_abs":"http://arxiv.org/abs/1802.10446v2","url_pdf":"http://arxiv.org/pdf/1802.10446v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"identifying-sources-and-sinks-in-the-presence","repo_url":"https://github.com/AdamCobb/GP-LAPLACE","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"tf","reach":null}],"tasks":[{"task_slug":"gaussian-processes","task_name":"Gaussian Processes"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}