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However, the field lacks a\nprincipled method to handle streaming data in which both the posterior\ndistribution over function values and the hyperparameter estimates are updated\nin an online fashion. The small number of existing approaches either use\nsuboptimal hand-crafted heuristics for hyperparameter learning, or suffer from\ncatastrophic forgetting or slow updating when new data arrive. This paper\ndevelops a new principled framework for deploying Gaussian process\nprobabilistic models in the streaming setting, providing methods for learning\nhyperparameters and optimising pseudo-input locations. The proposed framework\nis assessed using synthetic and real-world datasets.","url_abs":"http://arxiv.org/abs/1705.07131v2","url_pdf":"http://arxiv.org/pdf/1705.07131v2.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":"streaming-sparse-gaussian-process","repo_url":"https://github.com/thangbui/streaming_sparse_gp","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"tf","reach":null},{"paper_slug":"streaming-sparse-gaussian-process","repo_url":"https://github.com/tyliu22/online_pacgp","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"pytorch","reach":null},{"paper_slug":"streaming-sparse-gaussian-process","repo_url":"https://github.com/wjmaddox/online_gp","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"pytorch","reach":null}],"tasks":[],"methods":[{"method_slug":"gaussian-process","method_name":"Gaussian Process"}],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":"https://app.syntology.ai/?focus=1705.07131","mcp":{"get_harvested_code_for_paper":{"arxiv_id":"1705.07131"}},"developers":"https://syntology.ai/developers","read_at":"2026-09-24T18:15:14+00:00","read_at_is":"when the build read Syntology's graph, not when any sample ran","claim":"Per-sample execution status on synthesized fixtures; not a correctness claim about the paper. 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