{"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/monomial-matrix-group-equivariant-neural","title":"Monomial Matrix Group Equivariant Neural Functional Networks","arxiv_id":"2409.11697","date":"2024-09-18","proceeding":null,"authors":["Hoang V. Tran","Thieu N. Vo","Tho H. Tran","An T. Nguyen","Tan M. Nguyen"],"abstract":"Neural functional networks (NFNs) have recently gained significant attention due to their diverse applications, ranging from predicting network generalization and network editing to classifying implicit neural representation. Previous NFN designs often depend on permutation symmetries in neural networks' weights, which traditionally arise from the unordered arrangement of neurons in hidden layers. However, these designs do not take into account the weight scaling symmetries of $\\ReLU$ networks, and the weight sign flipping symmetries of $\\sin$ or $\\Tanh$ networks. In this paper, we extend the study of the group action on the network weights from the group of permutation matrices to the group of monomial matrices by incorporating scaling/sign-flipping symmetries. Particularly, we encode these scaling/sign-flipping symmetries by designing our corresponding equivariant and invariant layers. We name our new family of NFNs the Monomial Matrix Group Equivariant Neural Functional Networks (Monomial-NFN). Because of the expansion of the symmetries, Monomial-NFN has much fewer independent trainable parameters compared to the baseline NFNs in the literature, thus enhancing the model's efficiency. Moreover, for fully connected and convolutional neural networks, we theoretically prove that all groups that leave these networks invariant while acting on their weight spaces are some subgroups of the monomial matrix group. We provide empirical evidence to demonstrate the advantages of our model over existing baselines, achieving competitive performance and efficiency.","url_abs":"https://arxiv.org/abs/2409.11697v2","url_pdf":"https://arxiv.org/pdf/2409.11697v2.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":"monomial-matrix-group-equivariant-neural","repo_url":"https://github.com/mathematicalai-nus/monomial-nfn","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"pytorch","reach":{"status":"ok","spdx":"MIT"}}],"tasks":[],"methods":[{"method_slug":"attention","method_name":"Attention"},{"method_slug":"nfn","method_name":"NFN"},{"method_slug":"softmax","method_name":"Softmax"}],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":"https://app.syntology.ai/?focus=2409.11697","mcp":{"get_harvested_code_for_paper":{"arxiv_id":"2409.11697"}},"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":"deterministic:regex_extraction","url":"https://github.com/MathematicalAI-NUS/Monomial-NFN","reach":{"status":"ok","spdx":"MIT"}},{"provenance":"external:paperswithcode_snapshot_2025-07-28","url":"https://github.com/mathematicalai-nus/monomial-nfn","reach":{"status":"ok","spdx":"MIT"}}],"summary":{"ran":20,"ran_draft_wrong":6,"unverified":10},"by_repo_kind":{"official":{"samples":36,"ran":26,"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":"8178c2d555c68f4b","entry":"ArraySpec","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":"deterministic","behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"8178c2d555c68f4b"}},{"code_sha256_prefix":"ca1d055a4db1e6d9","entry":"ChannelDropout","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":"deterministic","behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"ca1d055a4db1e6d9"}},{"code_sha256_prefix":"a878a9a8b0f2ab3e","entry":"ChannelLayerNorm","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":"deterministic","behaviour_fingerprint":true,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"a878a9a8b0f2ab3e"}},{"code_sha256_prefix":"40353a86c31fca90","entry":"ChannelLinear","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":"deterministic","behaviour_fingerprint":true,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"40353a86c31fca90"}},{"code_sha256_prefix":"c2e173b5a7b62641","entry":"EinsumLayer","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":"deterministic","behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"c2e173b5a7b62641"}},{"code_sha256_prefix":"48fe3dea36f9c89e","entry":"GaussianFourierFeatureTransform","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":"deterministic","behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"48fe3dea36f9c89e"}},{"code_sha256_prefix":"26be31658f5e058b","entry":"IOSinusoidalEncoding","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":"deterministic","behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"26be31658f5e058b"}},{"code_sha256_prefix":"470213dfc5111c7e","entry":"NetworkSpec","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":"deterministic","behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"470213dfc5111c7e"}},{"code_sha256_prefix":"1db75947d6ce1f3b","entry":"NormalizingModule","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":"deterministic","behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"1db75947d6ce1f3b"}},{"code_sha256_prefix":"dddb1bf40099aca9","entry":"ParamLayerNorm","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":"deterministic","behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"dddb1bf40099aca9"}},{"code_sha256_prefix":"f6a29acf17a126b8","entry":"Pointwise","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":"deterministic","behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"f6a29acf17a126b8"}},{"code_sha256_prefix":"0b69c6dba62cba08","entry":"SimpleLayerNorm","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":"deterministic","behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"0b69c6dba62cba08"}},{"code_sha256_prefix":"ce83a7db6de57bec","entry":"TupleOp","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":"deterministic","behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"ce83a7db6de57bec"}},{"code_sha256_prefix":"13dc87e6610b8b4e","entry":"WeightSpaceFeatures","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"13dc87e6610b8b4e"}},{"code_sha256_prefix":"9870adcdf1003523","entry":"compute_mean_std","repo":"MathematicalAI-NUS/Monomial-NFN","repo_kind":"official","path":"experiments/data_utils.py","file_url":"https://github.com/MathematicalAI-NUS/Monomial-NFN/blob/HEAD/experiments/data_utils.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"9870adcdf1003523"}},{"code_sha256_prefix":"260b648862af987e","entry":"fourier_encode","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"nfn/layers/encoding.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/nfn/layers/encoding.py","link_basis":"first_harvest_node","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"MISDECLARED","metamorphic_tier":"invariant","behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"260b648862af987e"}},{"code_sha256_prefix":"5febbdfeec3c83ff","entry":"fourier_encode","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"MISDECLARED","metamorphic_tier":"invariant","behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"5febbdfeec3c83ff"}},{"code_sha256_prefix":"b6b09a11976ae372","entry":"get_npy_from_state_dict","repo":"MathematicalAI-NUS/Monomial-NFN","repo_kind":"official","path":"experiments/data_utils.py","file_url":"https://github.com/MathematicalAI-NUS/Monomial-NFN/blob/HEAD/experiments/data_utils.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"b6b09a11976ae372"}},{"code_sha256_prefix":"6b2124e8e2fb9a33","entry":"get_state_dict_from_npy","repo":"MathematicalAI-NUS/Monomial-NFN","repo_kind":"official","path":"experiments/data_utils.py","file_url":"https://github.com/MathematicalAI-NUS/Monomial-NFN/blob/HEAD/experiments/data_utils.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"6b2124e8e2fb9a33"}},{"code_sha256_prefix":"ef49a788da8dde77","entry":"params_to_state_dicts","repo":"MathematicalAI-NUS/Monomial-NFN","repo_kind":"official","path":"nfn/common/data.py","file_url":"https://github.com/MathematicalAI-NUS/Monomial-NFN/blob/HEAD/nfn/common/data.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"ef49a788da8dde77"}},{"code_sha256_prefix":"c0a8a100ad21973a","entry":"shape_wsfeat_symmetry","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"OUTPUT_MISDECLARED","metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"c0a8a100ad21973a"}},{"code_sha256_prefix":"1fd171846ef2ef36","entry":"simple_attention","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"MISDECLARED","metamorphic_tier":"invariant","behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"1fd171846ef2ef36"}},{"code_sha256_prefix":"dafd3ba91930d52f","entry":"simple_attention","repo":"MathematicalAI-NUS/Monomial-NFN","repo_kind":"official","path":"nfn/layers/layers.py","file_url":"https://github.com/MathematicalAI-NUS/Monomial-NFN/blob/HEAD/nfn/layers/layers.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"dafd3ba91930d52f"}},{"code_sha256_prefix":"d127d7b6cd98eaf2","entry":"state_dict_to_tensors","repo":"MathematicalAI-NUS/Monomial-NFN","repo_kind":"official","path":"nfn/common/data.py","file_url":"https://github.com/MathematicalAI-NUS/Monomial-NFN/blob/HEAD/nfn/common/data.py","link_basis":"first_harvest_node","language":"python","status":"ran","verification_level":1,"contract_check":null,"metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"d127d7b6cd98eaf2"}},{"code_sha256_prefix":"baf32f15bff306f8","entry":"train_step","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/classify_siren.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/classify_siren.py","link_basis":"first_harvest_node","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"MISDECLARED","metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"baf32f15bff306f8"}},{"code_sha256_prefix":"9fb54e896d3ed074","entry":"unshape_wsfeat_symmetry","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","language":"python","status":"ran_draft_wrong","verification_level":1,"contract_check":"OUTPUT_MISDECLARED","metamorphic_tier":null,"behaviour_fingerprint":false,"licence":"MIT","inline_ok":true,"mcp_get_code":{"code_sha256":"9fb54e896d3ed074"}},{"code_sha256_prefix":"29a32995bc174d5a","entry":"HNPLinear","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","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":"29a32995bc174d5a"}},{"code_sha256_prefix":"c121ad9422f9a2f9","entry":"HNPSLinear","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","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":"c121ad9422f9a2f9"}},{"code_sha256_prefix":"5ba93c4071e28b32","entry":"HNPS_SirenLinear","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","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":"5ba93c4071e28b32"}},{"code_sha256_prefix":"3cf245773e40b81d","entry":"InvariantNFN_HNPS","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","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":"3cf245773e40b81d"}},{"code_sha256_prefix":"247366d488114b00","entry":"NPAttention","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","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":"247366d488114b00"}},{"code_sha256_prefix":"32c44311b1642ecb","entry":"NPLinear","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","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":"32c44311b1642ecb"}},{"code_sha256_prefix":"e868a1e2f9647f67","entry":"StatFeaturizer","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","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":"e868a1e2f9647f67"}},{"code_sha256_prefix":"bb77e575f8866574","entry":"network_spec_from_wsfeat","repo":"MathematicalAI-NUS/Monomial-NFN","repo_kind":"official","path":"nfn/common/data.py","file_url":"https://github.com/MathematicalAI-NUS/Monomial-NFN/blob/HEAD/nfn/common/data.py","link_basis":"first_harvest_node","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":"bb77e575f8866574"}},{"code_sha256_prefix":"3e3e39920e776702","entry":"set_init_","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","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":"3e3e39920e776702"}},{"code_sha256_prefix":"8433cbb2dd1ac57c","entry":"set_init_einsum_","repo":"mathematicalai-nus/monomial-nfn","repo_kind":"official","path":"experiments/models.py","file_url":"https://github.com/mathematicalai-nus/monomial-nfn/blob/HEAD/experiments/models.py","link_basis":"first_harvest_node","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":"8433cbb2dd1ac57c"}}]},"arxiv_metadata":null,"syntology_extracted_results":null}