{"url":"/method/nail-or","slug":"nail-or","name":"NAIL OR","full_name":"Logit-space OR-gate (Normalized Approximate Independent Logit)","full_name_withheld":false,"description_markdown":"**NAIL OR** is a two-dimensional activation function which takes two logits as input and produces a single output. It is a piece-wise linear approximation of the probabilistic OR operator in logit-space.\r\n$$\\begin{equation}\r\n    \\text{OR_{AIL}}(x, y) :=\r\n        \\begin{cases}\r\n            x + y, & x > 0, \\, y > 0 \\\\\r\n            \\max(x, y), & \\text{otherwise}\r\n        \\end{cases}\r\n\\end{equation}\r\n$$","description_state":"present","introduced_year":null,"introduced_by":{"title":"Logical Activation Functions: Logit-space equivalents of Probabilistic Boolean Operators","paper":"/paper/logical-activation-functions-logit-space-1","first_author":"Scott C. Lowe","n_authors":5,"url_abs":null,"archive_paper_url":"https://paperswithcode.com/paper/logical-activation-functions-logit-space-1"},"source":{"url":"https://arxiv.org/abs/2110.11940v2","title":"Logical Activation Functions: Logit-space equivalents of Probabilistic Boolean Operators","url_on_a_paper_host":true},"code_snippet_url":null,"code_snippet_url_on_a_code_host":false,"categories":[{"area":"General","area_id":"general","collection":"Activation Functions","url":"/methods/category/activation-functions","pwc_aliases":[]}],"n_papers_tagged":1,"archive_num_papers":1,"papers_newest_first":[{"paper":"/paper/logical-activation-functions-logit-space-1","title":"Logical Activation Functions: Logit-space equivalents of Probabilistic Boolean Operators","date":"2021-10-22","arxiv_id":"2110.11940","n_code_links":0,"syntology":null}],"papers_shown":1,"tasks":[{"task":"/task/compositional-zero-shot-learning","name":"Compositional Zero-Shot Learning","papers":1},{"task":"/task/image-classification","name":"Image Classification","papers":1},{"task":"/task/transfer-learning","name":"Transfer Learning","papers":1},{"task":"/task/zero-shot-learning","name":"Zero-Shot Learning","papers":1},{"task":"/task/image-classification","name":"image-classification","papers":1}],"tasks_shown":5,"n_tasks":5,"usage_by_year":[{"year":"2021","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/nail-or"},"syntology_read_at":"2026-09-24T18:15:14+00:00"}