We talk and write about Riemannian Manifolds in Julia. Curated by @ronnybergmann.nethttps://bsky.app/profile/juliamanifolds.bsky.socialhttps://bsky.app/profile/juliamanifolds.bsky.social/post/3mpssqnglhc2iIn Manopt.jl 0.6.1 we introduce a new solver: Gradient Sampling, following the paper by Hosseini and Uschmajew https://epubs.siam.org/doi/10.1137/16M1069298 – see the documentation at https://manoptjl.org/stable/solvers/gradient_sampling/04 Jul 2026 10:05 +0000at://did:plc:aisvc2will27ojiyzeifsrkh/app.bsky.feed.post/3mpssqnglhc2ihttps://bsky.app/profile/juliamanifolds.bsky.social/post/3mp3l4zrjys2lThe robust Riemannian Levenberg-Marquardt presented in the preprint is now also available in the newest version 0.6.0 of Manopt.jl https://manoptjl.org/stable/solvers/LevenbergMarquardt/ [contains quote post or other embedded content]25 Jun 2026 04:17 +0000at://did:plc:aisvc2will27ojiyzeifsrkh/app.bsky.feed.post/3mp3l4zrjys2lhttps://bsky.app/profile/juliamanifolds.bsky.social/post/3mccp2vsmkk2hAccompanying the talk at the last JuliaCon and the LieGroups.jl package, we now have a JuliaCon Proceedings paper giving a short introduction to Lie groups and how to work with them in Julia https://doi.org/10.21105/jcon.00195 [contains quote post or other embedded content]13 Jan 2026 13:49 +0000at://did:plc:aisvc2will27ojiyzeifsrkh/app.bsky.feed.post/3mccp2vsmkk2hhttps://bsky.app/profile/juliamanifolds.bsky.social/post/3maleggykqs27Mateusz Baran gave a nice overview at #JuliaCon2025 about the JuliaManifolds ecosystem in #julialang: Manifolds in numerical computations with JuliaManifolds https://youtu.be/ybbhy8nnlEA?si=77VQZr1twgFjMImV22 Dec 2025 13:42 +0000at://did:plc:aisvc2will27ojiyzeifsrkh/app.bsky.feed.post/3maleggykqs27https://bsky.app/profile/juliamanifolds.bsky.social/post/3m7juutos2c2rAt #JuliaCOn2025 @ronnybergmann.net gave a talk about LieGroups.jl. That is now available online #julialang #manifolds #LieGroups https://youtu.be/_L9u8r42oSQ?si=tTt0Ni7NxRk3_cyv [contains quote post or other embedded content]09 Dec 2025 06:06 +0000at://did:plc:aisvc2will27ojiyzeifsrkh/app.bsky.feed.post/3m7juutos2c2rhttps://bsky.app/profile/juliamanifolds.bsky.social/post/3lt5smjgnv224On Manifolds, the gradient depends on the Riemannian metric, the differential does not. For a costly metric, using the gradient for the differential might be costly. Manopt.jl 0.5.19 now offers first order objectives with dedicated implementations of differentials: https://manoptjl.org/stable/plans/objective/#Manopt.ManifoldFirstOrderObjective04 Jul 2025 17:51 +0000at://did:plc:aisvc2will27ojiyzeifsrkh/app.bsky.feed.post/3lt5smjgnv224https://bsky.app/profile/juliamanifolds.bsky.social/post/3lqoxyahtwc2rWe have a new package nearly ready to be registered. GeometricKalman.jl – state estimation on non-Euclidean spaces. You can already read the arXiv preprint: [contains quote post or other embedded content]03 Jun 2025 09:27 +0000at://did:plc:aisvc2will27ojiyzeifsrkh/app.bsky.feed.post/3lqoxyahtwc2rhttps://bsky.app/profile/juliamanifolds.bsky.social/post/3lnfm2alhsk2gWe have a new package! LieGroups.jl https://juliamanifolds.github.io/LieGroups.jl/stable/ provides Lie groups based in Manifolds.jl. See the full announcement at https://discourse.julialang.org/t/ann-liegroups-jl/12829422 Apr 2025 11:44 +0000at://did:plc:aisvc2will27ojiyzeifsrkh/app.bsky.feed.post/3lnfm2alhsk2ghttps://bsky.app/profile/juliamanifolds.bsky.social/post/3lmyhxdbg6c2tThe newest version of Manopt.jl – 0.5.12 introduces a new algorithm: The gradient projection method. See https://manoptjl.org/stable/solvers/projected_gradient_method/ as well as the arXiv preprint arxiv.org/abs/2504.11815 #Manifolds #julialang #Manopt [contains quote post or other embedded content]17 Apr 2025 06:26 +0000at://did:plc:aisvc2will27ojiyzeifsrkh/app.bsky.feed.post/3lmyhxdbg6c2thttps://bsky.app/profile/juliamanifolds.bsky.social/post/3limfe32v6c27In the new version Manopt.jl v0.5.7 we introduce the Mesh Adaptive Direct Reach (MADS) algorithm(s) https://manoptjl.org/stable/solvers/mesh_adaptive_direct_search/ mainly providing the LTMADS which @oddsen.bsky.social worked on in his masters thesis. Thanks Sander! #Manifolds #julialang #Manopt20 Feb 2025 13:26 +0000at://did:plc:aisvc2will27ojiyzeifsrkh/app.bsky.feed.post/3limfe32v6c27https://bsky.app/profile/juliamanifolds.bsky.social/post/3lfz74bahf22zWe started a monthly community call recently! The next one is coming Tuesday, 16.00 (4pm) CET. You can find the zoom link on discourse https://discourse.julialang.org/t/juliamanifolds-digital-community-call/11937818 Jan 2025 11:24 +0000at://did:plc:aisvc2will27ojiyzeifsrkh/app.bsky.feed.post/3lfz74bahf22zhttps://bsky.app/profile/juliamanifolds.bsky.social/post/3kmhrqfogxs2i🔈 Manopt.jl v0.4.54 🏔️ We introduce two new solvers: • The Convex Bundle Method https://manoptjl.org/stable/solvers/convex_bundle_method/ • The Proximal Bundle Method https://manoptjl.org/stable/solvers/proximal_bundle_method/ to solve, (convex) nonsmooth optimization problems on Riemannian manifolds. The first one is also discussed in the paper from [contains quote post or other embedded content]28 Feb 2024 09:39 +0000at://did:plc:aisvc2will27ojiyzeifsrkh/app.bsky.feed.post/3kmhrqfogxs2ihttps://bsky.app/profile/juliamanifolds.bsky.social/post/3kgvdopevh22oIf you are working with Manifolds.jl or want to learn what it is and how to use it, our paper was published last week: https://dl.acm.org/doi/10.1145/361829619 Dec 2023 10:34 +0000at://did:plc:aisvc2will27ojiyzeifsrkh/app.bsky.feed.post/3kgvdopevh22ohttps://bsky.app/profile/juliamanifolds.bsky.social/post/3ke7nqbypqs2lWe now have a new (aggregated) home! juliamanifolds.github.io is an aggregation of all manifold related packages. While each package still has their URL for an individual documentation, this common place especially features a global search over all these packages.15 Nov 2023 08:45 +0000at://did:plc:aisvc2will27ojiyzeifsrkh/app.bsky.feed.post/3ke7nqbypqs2lhttps://bsky.app/profile/juliamanifolds.bsky.social/post/3kdjge6pnln2oThe new version of Manopt.jl – 0.4.42 – adds an extension that allows algorithms from Manopt.jl together with manifolds fron Manifolds.jl within jump.dev ! Check out https://manoptjl.org/stable/extensions.html#JuMP.jl for an example and the full documentation.06 Nov 2023 12:34 +0000at://did:plc:aisvc2will27ojiyzeifsrkh/app.bsky.feed.post/3kdjge6pnln2ohttps://bsky.app/profile/juliamanifolds.bsky.social/post/3kcj5lvtch62o🔈Manifolds.jl 0.9 We now offer Manifolds with static or dynamic parameters! The first (classical) ones are super fast. The new ones might compile a bit faster and are more flexible while being not much slower. See all changes and what might break your previous code at https://github.com/JuliaManifolds/Manifolds.jl/blob/master/NEWS.md24 Oct 2023 16:32 +0000at://did:plc:aisvc2will27ojiyzeifsrkh/app.bsky.feed.post/3kcj5lvtch62ohttps://bsky.app/profile/juliamanifolds.bsky.social/post/3kcj57djaad2w🔈 ManifoldsBase.jl v0.15 After quite a while – it was time for a major update * TangentSpace and ProductManifold are now already available in ManifoldsBase * several aspects were unified, e.g. allocation and error messages. See all changes at https://github.com/JuliaManifolds/ManifoldsBase.jl/blob/master/NEWS.md24 Oct 2023 16:25 +0000at://did:plc:aisvc2will27ojiyzeifsrkh/app.bsky.feed.post/3kcj57djaad2whttps://bsky.app/profile/juliamanifolds.bsky.social/post/3k6ggoyz32x25🔈 Manopt.jl v0.4.34 🏔️ introduces the keyword `objective_type=:Euclidean`, which allows you to provide a Euclidean cost, gradient, Hessian in the embedding of a manifold, we then perform the conversion to Riemannian gradient and Hessian automatically in Manopt.jl See https://manoptjl.org/stable/tutorials/EmbeddingObjectives/02 Sep 2023 16:56 +0000at://did:plc:aisvc2will27ojiyzeifsrkh/app.bsky.feed.post/3k6ggoyz32x25https://bsky.app/profile/juliamanifolds.bsky.social/post/3k6gae4wtgd26If you wuld like to learn how to use Manifolds.jl we now have a paper giving an introduction and comparison to other packages. S. D. Axen, M. Baran, R. Bergmann, K. Rzecki “Manifolds.jl: An Extensible Julia Framework for Data Analysis on Manifolds”, ACM TOMS, http://dx.doi.org/10.1145/361829602 Sep 2023 15:03 +0000at://did:plc:aisvc2will27ojiyzeifsrkh/app.bsky.feed.post/3k6gae4wtgd26