{"public_id":"co_c52037a7387cf931b1ed45a72c8c67c2","status":"active","merged_into_public_id":null,"resolved_public_id":"co_c52037a7387cf931b1ed45a72c8c67c2","name":"partial differential equations","description":"Equations involving partial derivatives that motivate the variational problems considered here.","aliases":["PDEs"],"types":["equation class"],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"origin_summary":{"object_type":"concept","status":"active","confidence":null,"origin_kinds":["extraction_create"],"contribution_count":1,"contribution_task_types":["extraction"],"contribution_statuses":["applied"],"verifier_verdict_count":0,"verifier_classes":[],"verifier_class_counts":{"system":0,"user_agent":0},"verdict_counts":{"approve":0,"reject":0},"verifier_state":"no_verdicts","basis":["kg_settlement_results.decision_payload.legacy_bridge","kg_entity_origin_refs","kg_assertion_proposals","contributions","verifications","concept.status"],"limits":["ledger provenance is aggregated; raw contribution and verifier audit rows are not expanded","entity matching uses settlement bridge refs and edge commands"]},"papers":[{"corpus_id":2988078,"title":"The Deep Ritz Method: A Deep Learning-Based Numerical Algorithm for Solving Variational Problems","citation_count":1698,"url":"https://sah.borca.ai/papers/2988078"}],"claims":[{"public_id":"cl_b5889a479eb89af41fd462cf85574e17","text":"Deep Ritz Method provides a deep learning-based numerical algorithm for solving variational problems arising from partial differential equations.","corpus_id":2988078,"url":"https://sah.borca.ai/claims/cl_b5889a479eb89af41fd462cf85574e17"}],"related_concepts":[],"resolved_url":"https://sah.borca.ai/concepts/co_c52037a7387cf931b1ed45a72c8c67c2","url":"https://sah.borca.ai/concepts/co_c52037a7387cf931b1ed45a72c8c67c2"}