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It is optimal for compressing temporal information.\r\n\r\nSee paper for equations (markdown isn't working).\r\n\r\nOfficial github repo: [https://github.com/abr/lmu](https://github.com/abr/lmu)","description_state":"present","introduced_year":null,"introduced_by":{"title":"Legendre Memory Units: Continuous-Time Representation in Recurrent Neural Networks","paper":"/paper/legendre-memory-units-continuous-time","first_author":"Aaron Voelker","n_authors":3,"url_abs":null,"archive_paper_url":"https://paperswithcode.com/paper/legendre-memory-units-continuous-time"},"source":{"url":"http://papers.nips.cc/paper/9689-legendre-memory-units-continuous-time-representation-in-recurrent-neural-networks","title":"Legendre Memory Units: Continuous-Time Representation in Recurrent Neural Networks","url_on_a_paper_host":true},"code_snippet_url":null,"code_snippet_url_on_a_code_host":false,"categories":[{"area":"Sequential","area_id":"sequential","collection":"Recurrent Neural Networks","url":"/methods/category/recurrent-neural-networks","pwc_aliases":[]}],"n_papers_tagged":9,"archive_num_papers":9,"papers_newest_first":[{"paper":null,"title":"SynthRAD2025 Grand Challenge dataset: generating synthetic CTs for radiotherapy","date":"2025-02-24","arxiv_id":"2502.17609","n_code_links":0,"syntology":null},{"paper":null,"title":"Natively neuromorphic LMU architecture for encoding-free SNN-based HAR on commercial edge devices","date":"2024-07-04","arxiv_id":"2407.04076","n_code_links":0,"syntology":null},{"paper":"/paper/lmuformer-low-complexity-yet-powerful-spiking","title":"LMUFormer: Low Complexity Yet Powerful Spiking Model With Legendre Memory Units","date":"2024-01-20","arxiv_id":"2402.04882","n_code_links":1,"syntology":{"ran":9,"of":12,"unverified":3,"pointer_only":0}},{"paper":null,"title":"Learning-Based Data Storage [Vision] (Technical Report)","date":"2022-06-12","arxiv_id":"2206.05778","n_code_links":0,"syntology":null},{"paper":null,"title":"Contrasting LMU with LSTM","date":"2022-01-17","arxiv_id":null,"n_code_links":0,"syntology":null},{"paper":"/paper/parallelizing-legendre-memory-unit-training","title":"Parallelizing Legendre Memory Unit Training","date":"2021-02-22","arxiv_id":"2102.11417","n_code_links":2,"syntology":null},{"paper":null,"title":"Feedforward Legendre Memory Unit","date":"2021-01-01","arxiv_id":null,"n_code_links":0,"syntology":null},{"paper":"/paper/the-lmu-munich-system-for-the-wmt-2020","title":"The LMU Munich System for the WMT 2020 Unsupervised Machine Translation Shared Task","date":"2020-10-25","arxiv_id":"2010.13192","n_code_links":1,"syntology":null},{"paper":"/paper/legendre-memory-units-continuous-time","title":"Legendre Memory Units: Continuous-Time Representation in Recurrent Neural Networks","date":"2019-12-01","arxiv_id":null,"n_code_links":2,"syntology":null}],"papers_shown":9,"tasks":[{"task":"/task/image-classification","name":"Image Classification","papers":2},{"task":"/task/machine-translation","name":"Machine Translation","papers":2},{"task":"/task/sentiment-analysis","name":"Sentiment Analysis","papers":2},{"task":"/task/sequential-image-classification","name":"Sequential Image Classification","papers":2},{"task":"/task/translation","name":"Translation","papers":2},{"task":"/task/image-classification","name":"image-classification","papers":2},{"task":"/task/activity-recognition","name":"Activity Recognition","papers":1},{"task":"/task/benchmarking","name":"Benchmarking","papers":1},{"task":"/task/fraud-detection","name":"Fraud Detection","papers":1},{"task":"/task/human-activity-recognition","name":"Human Activity Recognition","papers":1},{"task":"/task/image-generation","name":"Image Generation","papers":1},{"task":"/task/image-registration","name":"Image Registration","papers":1},{"task":"/task/natural-language-inference","name":"Natural Language Inference","papers":1},{"task":"/task/qqp","name":"QQP","papers":1},{"task":"/task/semantic-similarity","name":"Semantic Similarity","papers":1},{"task":"/task/semantic-textual-similarity","name":"Semantic Textual Similarity","papers":1},{"task":"/task/sentiment-classification","name":"Sentiment Classification","papers":1},{"task":"/task/speech-recognition","name":"Speech Recognition","papers":1},{"task":"/task/text-generation","name":"Text Generation","papers":1},{"task":"/task/time-series-1","name":"Time Series","papers":1}],"tasks_shown":20,"n_tasks":24,"usage_by_year":[{"year":"2019","papers":1},{"year":"2020","papers":1},{"year":"2021","papers":2},{"year":"2022","papers":2},{"year":"2024","papers":2},{"year":"2025","papers":1}],"row_source":"methods_table","archive":{"source":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","archive_url":"https://paperswithcode.com/method/lmu"},"syntology_read_at":"2026-09-24T18:15:14+00:00"}