# Specific Domains

**URL:** https://discourse.julialang.org/c/domain/10.md?no_subcategories=false&page=27

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**Page:** 28

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## [Bifurcation Analysis of large nonlinear system](https://discourse.julialang.org/t/bifurcation-analysis-of-large-nonlinear-system/132184)

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**Author:** [@AlirezaMiraliakbar](https://discourse.julialang.org/u/AlirezaMiraliakbar)\
**Replies:** 4\
**Last updated:** [September 8, 2025, 4:35pm UTC](https://discourse.julialang.org/t/bifurcation-analysis-of-large-nonlinear-system/132184 "2025-09-08T16:35:52Z")

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Hi, I am new to Julia and BifurcationKit. I am trying to perform a bifurcation analysis for a kinetic model I am using to model a chemical plant. The plant’s nonlinear algebraic system of equation is quite large with 67 …

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## [Optimization on Stiefel manifold with auto-differentiation](https://discourse.julialang.org/t/optimization-on-stiefel-manifold-with-auto-differentiation/132072)

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**Author:** [@Yue-Zhengyuan](https://discourse.julialang.org/u/Yue-Zhengyuan)\
**Replies:** 14\
**Last updated:** [September 8, 2025, 3:06pm UTC](https://discourse.julialang.org/t/optimization-on-stiefel-manifold-with-auto-differentiation/132072 "2025-09-08T15:06:12Z")

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I want to minimize the energy E of some quantum state, which is a real-valued function ultimately depending on a square real orthogonal matrix X (i.e. matrices in the Stiefel manifold). The (Euclidean) gradients of the e…

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## [Cheat sheet for Plots and Makie](https://discourse.julialang.org/t/cheat-sheet-for-plots-and-makie/132151)

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**Author:** [@yolhan\_mannes](https://discourse.julialang.org/u/yolhan_mannes)\
**Replies:** 2\
**Last updated:** [September 7, 2025, 1:05pm UTC](https://discourse.julialang.org/t/cheat-sheet-for-plots-and-makie/132151 "2025-09-07T13:05:50Z")

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Hello, do you think we could have something similar its really useful I think maybe in the docs directly ? It’s in GitHub - matplotlib/cheatsheets: Official Matplotlib cheat sheets

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## [\`NeuralPDE.jl\`: How to impose Dirichlet boundary conditions as hard constraints?](https://discourse.julialang.org/t/neuralpde-jl-how-to-impose-dirichlet-boundary-conditions-as-hard-constraints/132007)

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**Author:** [@Sigmund](https://discourse.julialang.org/u/Sigmund)\
**Replies:** 1\
**Last updated:** [September 6, 2025, 10:24pm UTC](https://discourse.julialang.org/t/neuralpde-jl-how-to-impose-dirichlet-boundary-conditions-as-hard-constraints/132007 "2025-09-06T22:24:28Z")

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Im solving a coupled PDE-problem using NeuralPDE.jl, the boundary conditions are now set by the penalization method. Instead I want to apply these as hard boundary constraints, or as an output transformation, as it is d…

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## [Quickest way to build solution sensitivity information from Ipopt (sIpopt)](https://discourse.julialang.org/t/quickest-way-to-build-solution-sensitivity-information-from-ipopt-sipopt/132144)

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**Author:** [@chensunn](https://discourse.julialang.org/u/chensunn)\
**Replies:** 1\
**Last updated:** [September 6, 2025, 7:31pm UTC](https://discourse.julialang.org/t/quickest-way-to-build-solution-sensitivity-information-from-ipopt-sipopt/132144 "2025-09-06T19:31:36Z")

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I’m trying to use JuMP and Ipopt to get sensitivity information of the optimal solution to certain parameters. This is functionality that already exists in sIpopt (doi:10.1007/s12532-012-0043-2), but I don’t believe that…

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## [Best practices for modeling systems that evolve over time — mutability, patterns, and performance?](https://discourse.julialang.org/t/best-practices-for-modeling-systems-that-evolve-over-time-mutability-patterns-and-performance/128626)

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**Author:** [@stevenhughes](https://discourse.julialang.org/u/stevenhughes)\
**Replies:** 26\
**Last updated:** [September 6, 2025, 12:06pm UTC](https://discourse.julialang.org/t/best-practices-for-modeling-systems-that-evolve-over-time-mutability-patterns-and-performance/128626 "2025-09-06T12:06:54Z")

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Hi everyone — I’m new to Julia. I’ve known about the language for years but only recently started using it seriously. I’m prototyping a space systems modeling tool — something that propagates orbits and performs optimiz…

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## [Quadratic objective function in JuMP.jl and Xpress.jl](https://discourse.julialang.org/t/quadratic-objective-function-in-jump-jl-and-xpress-jl/132117)

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**Author:** [@Diego](https://discourse.julialang.org/u/Diego)\
**Replies:** 1\
**Last updated:** [September 5, 2025, 10:19pm UTC](https://discourse.julialang.org/t/quadratic-objective-function-in-jump-jl-and-xpress-jl/132117 "2025-09-05T22:19:35Z")

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Is there a way that the Xpress.jl wrapper would anytime accept quadratic objective functions (e.g. using “mmquad”)? OF := x \* y Thank you! See: Quadratic objective function · Issue #290 · jump-dev/Xpress.jl

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## [Root finding for (possibly) complex valued functions with Nonlinearsolve.jl](https://discourse.julialang.org/t/root-finding-for-possibly-complex-valued-functions-with-nonlinearsolve-jl/97784)

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**Author:** [@theplatters](https://discourse.julialang.org/u/theplatters)\
**Replies:** 5\
**Last updated:** [September 4, 2025, 3:49pm UTC](https://discourse.julialang.org/t/root-finding-for-possibly-complex-valued-functions-with-nonlinearsolve-jl/97784 "2025-09-04T15:49:08Z")

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Hello. I need to translate some matlab code into Julia, where i need to find the roots in X of the function: function problem(X :: AbstractVector{T}, A, β, Ω, α, ε, θ, σ,L) where T N = length(α) p = @view X\[1:…

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## [Sensitivity analysis in simulation phase of SDDP.jl](https://discourse.julialang.org/t/sensitivity-analysis-in-simulation-phase-of-sddp-jl/132085)

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**Author:** [@Sorooshsa](https://discourse.julialang.org/u/Sorooshsa)\
**Replies:** 1\
**Last updated:** [September 4, 2025, 1:06am UTC](https://discourse.julialang.org/t/sensitivity-analysis-in-simulation-phase-of-sddp-jl/132085 "2025-09-04T01:06:46Z")

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Hello, I trained a hydropower model using SDDP.jl with a given set of parameters. To check the robustness of the trained policy, I would now like to run simulations where one of the parameters is changed — for example, …

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## [Best practices for large model composition in ModelingToolkit.jl](https://discourse.julialang.org/t/best-practices-for-large-model-composition-in-modelingtoolkit-jl/131680)

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**Author:** [@mxp](https://discourse.julialang.org/u/mxp)\
**Replies:** 7\
**Last updated:** [September 3, 2025, 11:25pm UTC](https://discourse.julialang.org/t/best-practices-for-large-model-composition-in-modelingtoolkit-jl/131680 "2025-09-03T23:25:50Z")

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I’m building fairly large models with ModelingToolkit.jl. While I think the library is very cool, I’m stumbling through how to set up large models effectively, both from a numerical perspective and from a developer persp…

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## [CUDSS adjoint factorization](https://discourse.julialang.org/t/cudss-adjoint-factorization/131841)

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**Author:** [@Gabrio\_Rizzuti](https://discourse.julialang.org/u/Gabrio_Rizzuti)\
**Replies:** 2\
**Last updated:** [September 3, 2025, 8:54pm UTC](https://discourse.julialang.org/t/cudss-adjoint-factorization/131841 "2025-09-03T20:54:13Z")

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Hello! My question is relatively straightforward. I’d like to use the LU factorization of the adjoint of a sparse matrix of type CuSparseMatrixCSR with the package CUDSS.jl, e.g. lu(A'), by only having access to lu(A). …

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## [Optimization on unit sphere?](https://discourse.julialang.org/t/optimization-on-unit-sphere/130720)

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**Author:** [@ForceBru](https://discourse.julialang.org/u/ForceBru)\
**Replies:** 12\
**Last updated:** [September 3, 2025, 6:01pm UTC](https://discourse.julialang.org/t/optimization-on-unit-sphere/130720 "2025-09-03T18:01:45Z")

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Random question about Differential Evolution: do you happen to know if there’s a variant of DE that keeps all vectors of the population on the unit sphere or on the unit simplex? My optimization problem is of the form: …

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## [How to annotate on heatmaps in Makie.jl](https://discourse.julialang.org/t/how-to-annotate-on-heatmaps-in-makie-jl/89506)

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**Author:** [@math\_opt](https://discourse.julialang.org/u/math_opt)\
**Replies:** 3\
**Last updated:** [September 3, 2025, 2:32pm UTC](https://discourse.julialang.org/t/how-to-annotate-on-heatmaps-in-makie-jl/89506 "2025-09-03T14:32:18Z")

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How to annotate heat maps in Makie.jl. I was going through this post and the code in the question doesn’t seem to produce the text (numbers) on the heatmap. The code is also provided below: using DataFrames using CSV …

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## [What's the difference between Gen and Turing for probabilistic programming?](https://discourse.julialang.org/t/whats-the-difference-between-gen-and-turing-for-probabilistic-programming/36624)

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**Author:** [@sivakon](https://discourse.julialang.org/u/sivakon)\
**Replies:** 7\
**Last updated:** [September 3, 2025, 8:58am UTC](https://discourse.julialang.org/t/whats-the-difference-between-gen-and-turing-for-probabilistic-programming/36624 "2025-09-03T08:58:09Z")

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Asked question in #probprog channel on Slack.

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## [FlexiJoins vs SortMerge (particularly in astronomy workflows)](https://discourse.julialang.org/t/flexijoins-vs-sortmerge-particularly-in-astronomy-workflows/128632)

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**Author:** [@aplavin](https://discourse.julialang.org/u/aplavin)\
**Replies:** 9\
**Last updated:** [September 2, 2025, 3:17am UTC](https://discourse.julialang.org/t/flexijoins-vs-sortmerge-particularly-in-astronomy-workflows/128632 "2025-09-02T03:17:20Z")

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I wouldn’t call FlexiJoins.jl “polished” tbh :slight\_smile: It does support lots of different join conditions with generally efficient implementations, but stuff like error messages and internal implementation design ca…

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## [In ComplexityMeasures.jl, is there a way to use elements of an OutcomeSpace as keys for Probabilities?](https://discourse.julialang.org/t/in-complexitymeasures-jl-is-there-a-way-to-use-elements-of-an-outcomespace-as-keys-for-probabilities/132038)

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**Author:** [@mikhael](https://discourse.julialang.org/u/mikhael)\
**Replies:** 0\
**Last updated:** [September 1, 2025, 9:57pm UTC](https://discourse.julialang.org/t/in-complexitymeasures-jl-is-there-a-way-to-use-elements-of-an-outcomespace-as-keys-for-probabilities/132038 "2025-09-01T21:57:09Z")

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Suppose I build a Probabilities object Prs from a vector x like so: using ComplexityMeasures x = rand(\[true, false\], 10) Prs, outs = allprobabilities\_and\_outcomes(UniqueElements(), x) I would like to have a Dict-like…

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## [Custom color palette (including associated value range)](https://discourse.julialang.org/t/custom-color-palette-including-associated-value-range/131949)

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**Author:** [@sylvaticus](https://discourse.julialang.org/u/sylvaticus)\
**Replies:** 3\
**Last updated:** [August 31, 2025, 8:37pm UTC](https://discourse.julialang.org/t/custom-color-palette-including-associated-value-range/131949 "2025-08-31T20:37:27Z")

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I am looking to how create a custom “legend” for my plots where I associate given colours to custom ranges, for example: 0:0.5 =\> darkdarkred 0.0:0.75 =\> darkred 0.75:1 =\> red 1:1.25 =\> green 1.25:1.5 =\> darkgree…

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## [Using CPLEX Piecewise Linear function](https://discourse.julialang.org/t/using-cplex-piecewise-linear-function/28403)

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**Author:** [@Codzilla](https://discourse.julialang.org/u/Codzilla)\
**Replies:** 8\
**Last updated:** [September 1, 2025, 10:48am UTC](https://discourse.julialang.org/t/using-cplex-piecewise-linear-function/28403 "2025-09-01T10:48:51Z")

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I’m trying to solve a MILP with an piecewise linear function in the cost function. At the moment, i’m using a binairy variable per linear piece wich is not the state of the art (see for example http://www.mit.edu/~jvielm…

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## [Write .NL file containing JuMP model](https://discourse.julialang.org/t/write-nl-file-containing-jump-model/101113)

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**Author:** [@Luca](https://discourse.julialang.org/u/Luca)\
**Replies:** 6\
**Last updated:** [September 1, 2025, 8:28am UTC](https://discourse.julialang.org/t/write-nl-file-containing-jump-model/101113 "2025-09-01T08:28:25Z")

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Dear all, I would ask you if there exists an easy way to write the .nl file corresponding to a JuMP problem. I already checked the solution proposed in https://discourse.julialang.org/t/how-to-write-nl-file-containing-j…

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## [Let's Choroplethize the US](https://discourse.julialang.org/t/lets-choroplethize-the-us/131254)

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**Author:** [@joa-quim](https://discourse.julialang.org/u/joa-quim)\
**Replies:** 18\
**Last updated:** [August 31, 2025, 10:34pm UTC](https://discourse.julialang.org/t/lets-choroplethize-the-us/131254 "2025-08-31T22:34:53Z")

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Hi, Making choropleth maps of US seems to a popular request/example here. Advanced solution often lack, IMO, the necessary map quality. In these last days before vacations I spent some time preparing these examples that…

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## [(Semi-)automatic installation of missing packages . . .?](https://discourse.julialang.org/t/semi-automatic-installation-of-missing-packages/131962)

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**Author:** [@ryofurue](https://discourse.julialang.org/u/ryofurue)\
**Replies:** 14\
**Last updated:** [August 30, 2025, 5:24pm UTC](https://discourse.julialang.org/t/semi-automatic-installation-of-missing-packages/131962 "2025-08-30T17:24:56Z")

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I’ve found a few past threads in this forum about automatic installation of missing packages. How to do that now? The past threads appear to imply that the user is asked whether s/he wants to install the missing package…

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## [How should constant literals be typed in Differentiable Code?](https://discourse.julialang.org/t/how-should-constant-literals-be-typed-in-differentiable-code/131965)

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**Author:** [@stevenhughes](https://discourse.julialang.org/u/stevenhughes)\
**Replies:** 0\
**Last updated:** [August 30, 2025, 2:32pm UTC](https://discourse.julialang.org/t/how-should-constant-literals-be-typed-in-differentiable-code/131965 "2025-08-30T14:32:49Z")

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Hello, I wrote code that I now need to make differentiable. I’ve read the best practice docs, and my code is differentiating (REPL compile times are seriously painful though). I use AI to read my code to help me impro…

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## [CUDA.jl: Warning about loading library from system path](https://discourse.julialang.org/t/cuda-jl-warning-about-loading-library-from-system-path/131904)

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**Author:** [@CaG21](https://discourse.julialang.org/u/CaG21)\
**Replies:** 4\
**Last updated:** [August 30, 2025, 11:42am UTC](https://discourse.julialang.org/t/cuda-jl-warning-about-loading-library-from-system-path/131904 "2025-08-30T11:42:20Z")

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I am using CUDA.jl on two different computers with a completely different configuration but both equipped with Windows 11. In both cases, I got a warning when loading CUDA. The warning is ┌ Warning: CUDA runtime library…

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## [How to extract the x,y coordinated otf the center of pixel 200, 300 of a Rasters.Raster object?](https://discourse.julialang.org/t/how-to-extract-the-x-y-coordinated-otf-the-center-of-pixel-200-300-of-a-rasters-raster-object/131936)

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**Author:** [@sylvaticus](https://discourse.julialang.org/u/sylvaticus)\
**Replies:** 5\
**Last updated:** [August 30, 2025, 10:03am UTC](https://discourse.julialang.org/t/how-to-extract-the-x-y-coordinated-otf-the-center-of-pixel-200-300-of-a-rasters-raster-object/131936 "2025-08-30T10:03:42Z")

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Provided I have a Rasters.Raster object foo, how can I extract the coordinated at the centre of a given pixel, in the raster coordinates system ?

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## [Adjacent elements of a Vertex in Meshes.jl](https://discourse.julialang.org/t/adjacent-elements-of-a-vertex-in-meshes-jl/131900)

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**Author:** [@raman\_kumar](https://discourse.julialang.org/u/raman_kumar)\
**Replies:** 2\
**Last updated:** [August 29, 2025, 9:13pm UTC](https://discourse.julialang.org/t/adjacent-elements-of-a-vertex-in-meshes-jl/131900 "2025-08-29T21:13:37Z")

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How to get the adjacent elements of a vertex in Meshes.jl ? using Meshes, CoordRefSystems ,GLMakie r = Float32\[1.6, 1.754088, 1.9230156, 2.1082115, 2.311243, 2.5338273, 2.7778475, 3.0453684, 3.3386526, 3.6601818, 4.01…

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## [Lessons learnt and thoughts on deploying Julia and sysimages on AWS](https://discourse.julialang.org/t/lessons-learnt-and-thoughts-on-deploying-julia-and-sysimages-on-aws/130669)

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**Author:** [@ConnectedSystems](https://discourse.julialang.org/u/ConnectedSystems)\
**Replies:** 1\
**Last updated:** [August 29, 2025, 1:57pm UTC](https://discourse.julialang.org/t/lessons-learnt-and-thoughts-on-deploying-julia-and-sysimages-on-aws/130669 "2025-08-29T13:57:17Z")

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I have spent a portion of my time on and off over the past two weeks trying to build docker containers with sysimages to deploy on AWS. Over that time I have run into various issues and thought it worthwhile writing up m…

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## [Optimization Based Kalman Filters](https://discourse.julialang.org/t/optimization-based-kalman-filters/131937)

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**Author:** [@langestefan](https://discourse.julialang.org/u/langestefan)\
**Replies:** 6\
**Last updated:** [August 29, 2025, 12:19pm UTC](https://discourse.julialang.org/t/optimization-based-kalman-filters/131937 "2025-08-29T12:19:03Z")

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I was wondering if we have any reference implementations or packages that implement (convex) optimization based kalman filters. Such as discussed in this paper by Boyd: Real-Time Convex Optimization in Signal Processing …

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## [Restart an existing MCMC chain at the same point it was paused](https://discourse.julialang.org/t/restart-an-existing-mcmc-chain-at-the-same-point-it-was-paused/131901)

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**Author:** [@ghadgeabhi](https://discourse.julialang.org/u/ghadgeabhi)\
**Replies:** 2\
**Last updated:** [August 29, 2025, 5:44am UTC](https://discourse.julialang.org/t/restart-an-existing-mcmc-chain-at-the-same-point-it-was-paused/131901 "2025-08-29T05:44:12Z")

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In my workflow, I want to be able look at the metrics of a MCMC chain, so I want run it for a certain amount of iteration. I want to then be able to continue the same chain for more iterations. How could this be done wi…

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## [CPLEX Root node processing (before b&c) CPU Time extremely higher than JuMP Time Limit](https://discourse.julialang.org/t/cplex-root-node-processing-before-b-c-cpu-time-extremely-higher-than-jump-time-limit/109920)

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**Author:** [@K5Julien](https://discourse.julialang.org/u/K5Julien)\
**Replies:** 2\
**Last updated:** [August 28, 2025, 3:57pm UTC](https://discourse.julialang.org/t/cplex-root-node-processing-before-b-c-cpu-time-extremely-higher-than-jump-time-limit/109920 "2025-08-28T15:57:00Z")

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I have recently switched from Gurobi to CPLEX and am very surprised I found several instances where all ticks and CPU time is spent at Root node processing and more disconcerting the total time (before B&C and root node)…

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## [Customized xticklabels with GeoMakie?](https://discourse.julialang.org/t/customized-xticklabels-with-geomakie/131886)

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**Author:** [@sablonl](https://discourse.julialang.org/u/sablonl)\
**Replies:** 2\
**Last updated:** [August 28, 2025, 1:23pm UTC](https://discourse.julialang.org/t/customized-xticklabels-with-geomakie/131886 "2025-08-28T13:23:29Z")

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I’d like to plot some maps using GeoMakie.jl, but I would like to modify the default xticks. I tried several approaches : via a formatter xtickformat or via manually annotating the figure. None of those works… The attri…

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