{"id":16730536,"url":"https://github.com/c42f/l1homotopy.jl","last_synced_at":"2026-01-03T05:03:03.297Z","repository":{"id":145912107,"uuid":"100072754","full_name":"c42f/L1Homotopy.jl","owner":"c42f","description":"The Homotopy algorithm for l1 minimization","archived":false,"fork":false,"pushed_at":"2017-08-11T21:58:22.000Z","size":6,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":3,"default_branch":"master","last_synced_at":"2025-03-15T18:14:15.718Z","etag":null,"topics":[],"latest_commit_sha":null,"homepage":null,"language":"Julia","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"other","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/c42f.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE.md","code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2017-08-11T21:56:39.000Z","updated_at":"2017-08-11T21:58:23.000Z","dependencies_parsed_at":null,"dependency_job_id":"75a21da7-938e-4de1-aeb5-1804582e3d79","html_url":"https://github.com/c42f/L1Homotopy.jl","commit_stats":null,"previous_names":[],"tags_count":0,"template":false,"template_full_name":null,"purl":"pkg:github/c42f/L1Homotopy.jl","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/c42f%2FL1Homotopy.jl","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/c42f%2FL1Homotopy.jl/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/c42f%2FL1Homotopy.jl/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/c42f%2FL1Homotopy.jl/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/c42f","download_url":"https://codeload.github.com/c42f/L1Homotopy.jl/tar.gz/refs/heads/master","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/c42f%2FL1Homotopy.jl/sbom","scorecard":null,"host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":286080680,"owners_count":28183989,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","status":"online","status_checked_at":"2026-01-03T02:00:06.471Z","response_time":75,"last_error":null,"robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":true,"can_crawl_api":true,"host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":[],"created_at":"2024-10-12T23:33:50.679Z","updated_at":"2026-01-03T05:03:03.267Z","avatar_url":"https://github.com/c42f.png","language":"Julia","funding_links":[],"categories":[],"sub_categories":[],"readme":"# L1Homotopy\n\nImplementation of the Homotopy method for solving the L1 minimization problem,\n\n    minimize  J(x) = ‖A*x - y‖₂² + λₑ‖x‖₁\n\n    subject to  xᵢ \u003e 0 for all i\n\nThe algorithm itself and the connection to other related algorithms such as\nmatching persuit and Least Angle Regression (LARS) is described in the paper\n\"Fast solution to L1-norm minimization problems when the solution may be sparse\"\nby David Donoho and Yaakov Tsaig.  The formulation above is labelled (D_λ) in\nthe paper, but there are several other equivalent formulations, including two\nconstrained formulations labelled (P_1) and (L_q) in the paper.  L_q is popular\nfor statistical model selection and is called Lasso in the statistical\nliterature.\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fc42f%2Fl1homotopy.jl","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fc42f%2Fl1homotopy.jl","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fc42f%2Fl1homotopy.jl/lists"}