Add NeuralNetworks folder placeholders and register in docs pages

Prepare output directory structure for the new NeuralNetworks benchmark
(SciML/SciMLBenchmarks.jl#1530) which compares Lux, Flux, SimpleChains,
Reactant, JAX, and PyTorch on common neural network workloads.

Co-Authored-By: Chris Rackauckas <accounts@chrisrackauckas.com>
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

Author: ChrisRackauckas

docs/pages.jl

@@ -37,62 +37,63 @@ for folder in readdir(benchmarksdir)
 end
 
 
-# The result is in alphabetical order, change to the wanted order
-
-section_titles = [
-    "MultiLanguage" => "Multi-Language Wrapper Benchmarks",
-    "LinearSolve" => "Linear Solvers",
-    "IntervalNonlinearProblem" => "Interval Rootfinding",
-    "NonlinearProblem" => "Nonlinear Solvers",
-    "AutomaticDifferentiation" => "Automatic Differentiation",
-    "AutomaticDifferentiationSparse" => "Sparse Automatic Differentiation",
-    "NonStiffODE" => "Non-Stiff Ordinary Differential Equations (ODEs)",
-    "StiffODE" => "Stiff Ordinary Differential Equations (ODEs)",
-    "Bio" => "Biological Differential Equations",
-    "AstroChem" => "Astrochemistry Differential Equations",
-    "DAE" => "Differential-Algebraic Equations (DAEs)",
-    "NonStiffBVP" => "Non-Stiff Boundary Value Problems (BVPs)",
-    "StiffBVP" => "Stiff Boundary Value Problems (BVPs)",
-    "ModelingToolkit" => "ModelingToolkit Acausal Modeling / Symbolic-Numeric Benchmarks",
-    "SimpleHandwrittenPDE" => "Simple Handwritten Partial Differential Equations (PDEs) as ODEs",
-    "ComplicatedPDE" => "Complicated Partial Differential Equations (PDEs)",
-    "DynamicalODE" => "Dynamical ODEs (Hamiltonian and Second Order)",
-    "NBodySimulator" => "N-Body Problem Benchmarks",
-    "NonStiffSDE" => "Non-Stiff Stochastic Differential Equations (SDEs)",
-    "StiffSDE" => "Stiff Stochastic Differential Equations (SDEs)",
-    "NonStiffDDE" => "Non-Stiff Delay Differential Equations (DDEs)",
-    "StiffDDE" => "Stiff Delay Differential equations (DDEs)",
-    "Jumps" => "Jump Process Equations (Gillespie Benchmarks)",
-    "HybridJumps" => "Hybrid (Time-Dependent) Jump Processes",
-    "Optimization" => "Nonlinear Optimization Solver Benchmarks",
-    "OptimizationCUTEst" => "CUTEst Optimization Solver Benchmarks",
-    "GlobalOptimization" => "Global Optimization Benchmarks",
-    "OptimizationFrameworks" => "Optimization Framework Benchmarks",
-    "ParameterEstimation" => "Parameter Estimation and Inverse Problem Benchmarks",
-    "BayesianInference" => "Bayesian Inference and Probabilistic Inverse Problem Benchmarks",
-    "MethodOfLinesPDE" => "MethodOfLines.jl Partial Differential Equation (PDE) Formulations",
-    "PINNErrorsVsTime" => "Physics-Informed Neural Network (Neural Network PDE Solver) Cost Function Benchmarks",
-    "PINNOptimizers" => "Physics-Informed Neural Network (Neural Network PDE Solver) Optimizer Benchmarks",
-    "AdaptiveSDE" => "SDE Adaptivity Benchmarks",
-    "Surrogates" => "Surrogate Benchmarks",
-    "Symbolics" => "Symbolic Manipulation Benchmarks"
-]
-
-renamed_index = "SciMLBenchmarks.jl: Benchmarks for Scientific Machine Learning (SciML) and Equation Solvers" =>
-                pages[1][2]
-remaining_pages = Dict{String,Any}(pages[2:end])
-ordered_pages = Any[renamed_index]
-
-for (folder, title) in section_titles
-    if haskey(remaining_pages, folder)
-        push!(ordered_pages, title => remaining_pages[folder])
-        delete!(remaining_pages, folder)
-    end
-end
-
-# Keep docs generation robust when new benchmark folders are added.
-for folder in sort!(collect(keys(remaining_pages)))
-    push!(ordered_pages, folder => remaining_pages[folder])
-end
-
-pages = ordered_pages
+# The result is in alphabetical order, change to the wanted order
+
+section_titles = [
+    "MultiLanguage" => "Multi-Language Wrapper Benchmarks",
+    "LinearSolve" => "Linear Solvers",
+    "IntervalNonlinearProblem" => "Interval Rootfinding",
+    "NonlinearProblem" => "Nonlinear Solvers",
+    "AutomaticDifferentiation" => "Automatic Differentiation",
+    "AutomaticDifferentiationSparse" => "Sparse Automatic Differentiation",
+    "NonStiffODE" => "Non-Stiff Ordinary Differential Equations (ODEs)",
+    "StiffODE" => "Stiff Ordinary Differential Equations (ODEs)",
+    "Bio" => "Biological Differential Equations",
+    "AstroChem" => "Astrochemistry Differential Equations",
+    "DAE" => "Differential-Algebraic Equations (DAEs)",
+    "NonStiffBVP" => "Non-Stiff Boundary Value Problems (BVPs)",
+    "StiffBVP" => "Stiff Boundary Value Problems (BVPs)",
+    "ModelingToolkit" => "ModelingToolkit Acausal Modeling / Symbolic-Numeric Benchmarks",
+    "SimpleHandwrittenPDE" => "Simple Handwritten Partial Differential Equations (PDEs) as ODEs",
+    "ComplicatedPDE" => "Complicated Partial Differential Equations (PDEs)",
+    "DynamicalODE" => "Dynamical ODEs (Hamiltonian and Second Order)",
+    "NBodySimulator" => "N-Body Problem Benchmarks",
+    "NonStiffSDE" => "Non-Stiff Stochastic Differential Equations (SDEs)",
+    "StiffSDE" => "Stiff Stochastic Differential Equations (SDEs)",
+    "NonStiffDDE" => "Non-Stiff Delay Differential Equations (DDEs)",
+    "StiffDDE" => "Stiff Delay Differential equations (DDEs)",
+    "Jumps" => "Jump Process Equations (Gillespie Benchmarks)",
+    "HybridJumps" => "Hybrid (Time-Dependent) Jump Processes",
+    "Optimization" => "Nonlinear Optimization Solver Benchmarks",
+    "OptimizationCUTEst" => "CUTEst Optimization Solver Benchmarks",
+    "GlobalOptimization" => "Global Optimization Benchmarks",
+    "OptimizationFrameworks" => "Optimization Framework Benchmarks",
+    "ParameterEstimation" => "Parameter Estimation and Inverse Problem Benchmarks",
+    "BayesianInference" => "Bayesian Inference and Probabilistic Inverse Problem Benchmarks",
+    "MethodOfLinesPDE" => "MethodOfLines.jl Partial Differential Equation (PDE) Formulations",
+    "PINNErrorsVsTime" => "Physics-Informed Neural Network (Neural Network PDE Solver) Cost Function Benchmarks",
+    "PINNOptimizers" => "Physics-Informed Neural Network (Neural Network PDE Solver) Optimizer Benchmarks",
+    "NeuralNetworks" => "Neural Network Framework Benchmarks",
+    "AdaptiveSDE" => "SDE Adaptivity Benchmarks",
+    "Surrogates" => "Surrogate Benchmarks",
+    "Symbolics" => "Symbolic Manipulation Benchmarks"
+]
+
+renamed_index = "SciMLBenchmarks.jl: Benchmarks for Scientific Machine Learning (SciML) and Equation Solvers" =>
+                pages[1][2]
+remaining_pages = Dict{String,Any}(pages[2:end])
+ordered_pages = Any[renamed_index]
+
+for (folder, title) in section_titles
+    if haskey(remaining_pages, folder)
+        push!(ordered_pages, title => remaining_pages[folder])
+        delete!(remaining_pages, folder)
+    end
+end
+
+# Keep docs generation robust when new benchmark folders are added.
+for folder in sort!(collect(keys(remaining_pages)))
+    push!(ordered_pages, folder => remaining_pages[folder])
+end
+
+pages = ordered_pages