{"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/supervised-learning-with-quantum-inspired","title":"Supervised Learning with Quantum-Inspired Tensor Networks","arxiv_id":"1605.05775","date":"2016-05-18","proceeding":null,"authors":["E. Miles Stoudenmire","David J. Schwab"],"abstract":"Tensor networks are efficient representations of high-dimensional tensors\nwhich have been very successful for physics and mathematics applications. We\ndemonstrate how algorithms for optimizing such networks can be adapted to\nsupervised learning tasks by using matrix product states (tensor trains) to\nparameterize models for classifying images. For the MNIST data set we obtain\nless than 1% test set classification error. We discuss how the tensor network\nform imparts additional structure to the learned model and suggest a possible\ngenerative interpretation.","url_abs":"http://arxiv.org/abs/1605.05775v2","url_pdf":"http://arxiv.org/pdf/1605.05775v2.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":"supervised-learning-with-quantum-inspired","repo_url":"https://github.com/emstoudenmire/TNML","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":{"status":"ok","spdx":"MIT"}},{"paper_slug":"supervised-learning-with-quantum-inspired","repo_url":"https://github.com/cylo/uni10-lamps","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":{"status":"ok"}},{"paper_slug":"supervised-learning-with-quantum-inspired","repo_url":"https://github.com/jemisjoky/torchmps","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"pytorch","reach":{"status":"ok","spdx":"MIT"}},{"paper_slug":"supervised-learning-with-quantum-inspired","repo_url":"https://github.com/victorius35/PIR-Tensor-Network-MNIST","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":{"status":"ok"}}],"tasks":[{"task_slug":"classification","task_name":"General Classification"},{"task_slug":"tensor-networks","task_name":"Tensor Networks"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":"https://app.syntology.ai/?focus=1605.05775","mcp":{"get_harvested_code_for_paper":{"arxiv_id":"1605.05775"}},"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. Samples come from repositories linked to the paper, official or community; repo_kind says which.","repos":[{"provenance":"external:paperswithcode_snapshot_2025-07-28","url":"https://github.com/victorius35/PIR-Tensor-Network-MNIST","reach":{"status":"ok"}},{"provenance":"external:paperswithcode_snapshot_2025-07-28","url":"https://github.com/emstoudenmire/TNML","reach":{"status":"ok","spdx":"MIT"}},{"provenance":"external:paperswithcode_snapshot_2025-07-28","url":"https://github.com/cylo/uni10-lamps","reach":{"status":"ok"}},{"provenance":"external:paperswithcode_snapshot_2025-07-28","url":"https://github.com/jemisjoky/torchmps","reach":{"status":"ok","spdx":"MIT"}}],"summary":{"unverified":9},"by_repo_kind":{"listed":{"samples":9,"ran":0,"repositories":1}},"repo_kind_vocabulary":{"official":"The archive marks this repository official for the paper","named_in_paper":"The archive records that the paper mentions this repository; it is not marked official","listed":"In the archive's code links for this paper, not marked official and not recorded as mentioned in the paper","found_in_text":"Syntology found this repository in the paper's own text; whether it is the authors' implementation is not asserted","community":"Not in the archive's code links for this paper; a community repository Syntology harvested"},"n_pointer_only_for_licence":0,"samples":[{"code_sha256_prefix":"7b9df8e53d1a0e52","entry":"batch_broadcast","repo":"jemisjoky/torchmps","repo_kind":"listed","path":"torchmps/utils2.py","file_url":"https://github.com/jemisjoky/torchmps/blob/HEAD/torchmps/utils2.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"7b9df8e53d1a0e52"}},{"code_sha256_prefix":"779b51d23d61621d","entry":"batch_to","repo":"jemisjoky/torchmps","repo_kind":"listed","path":"torchmps/utils2.py","file_url":"https://github.com/jemisjoky/torchmps/blob/HEAD/torchmps/utils2.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"779b51d23d61621d"}},{"code_sha256_prefix":"7950b65a7130fbd0","entry":"bundle_tensors","repo":"jemisjoky/torchmps","repo_kind":"listed","path":"torchmps/utils2.py","file_url":"https://github.com/jemisjoky/torchmps/blob/HEAD/torchmps/utils2.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"7950b65a7130fbd0"}},{"code_sha256_prefix":"9a1b40162ff1c63e","entry":"init_mlp_embed","repo":"jemisjoky/torchmps","repo_kind":"listed","path":"torchmps/embeddings.py","file_url":"https://github.com/jemisjoky/torchmps/blob/HEAD/torchmps/embeddings.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"9a1b40162ff1c63e"}},{"code_sha256_prefix":"f83a05b4d32e7e40","entry":"init_tensor","repo":"jemisjoky/torchmps","repo_kind":"listed","path":"torchmps/utils.py","file_url":"https://github.com/jemisjoky/torchmps/blob/HEAD/torchmps/utils.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"f83a05b4d32e7e40"}},{"code_sha256_prefix":"d22a951c7ff816cf","entry":"onehot","repo":"jemisjoky/torchmps","repo_kind":"listed","path":"torchmps/utils.py","file_url":"https://github.com/jemisjoky/torchmps/blob/HEAD/torchmps/utils.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"d22a951c7ff816cf"}},{"code_sha256_prefix":"f1717c4b3a7545dd","entry":"onehot_embed","repo":"jemisjoky/torchmps","repo_kind":"listed","path":"torchmps/embeddings.py","file_url":"https://github.com/jemisjoky/torchmps/blob/HEAD/torchmps/embeddings.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"f1717c4b3a7545dd"}},{"code_sha256_prefix":"144c7ce7d4014523","entry":"svd_flex","repo":"jemisjoky/torchmps","repo_kind":"listed","path":"torchmps/utils.py","file_url":"https://github.com/jemisjoky/torchmps/blob/HEAD/torchmps/utils.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"144c7ce7d4014523"}},{"code_sha256_prefix":"e6176d2c30b420f2","entry":"trig_embed","repo":"jemisjoky/torchmps","repo_kind":"listed","path":"torchmps/embeddings.py","file_url":"https://github.com/jemisjoky/torchmps/blob/HEAD/torchmps/embeddings.py","link_basis":"harvester_set","language":"python","status":"unverified","verification_level":0,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"e6176d2c30b420f2"}}]},"arxiv_metadata":null,"syntology_extracted_results":null}