Fix default verbosity in NNODE and NNSDE

[ChrisRackauckas-Claude]

Summary

• handle DiffEqBase v7's DEVerbosity default in the NNODE and NNSDE optimization callbacks
• retain iteration printing when callers explicitly pass verbose = true
• exercise omitted verbose in the NNODE and NNSDE solver tests

Root cause

The callbacks assumed that the verbose keyword was always a Bool. DiffEqBase commit 6853462 changed the v7 solve default to DEFAULT_VERBOSE, a DEVerbosity. NeuralPDE opened DiffEqBase/OrdinaryDiffEq v7 compatibility in 5c011a7 without adapting these pre-existing callbacks, so an ordinary solve(prob, NNODE(...)) or solve(prob, NNSDE(...)) reached a non-Boolean value in if verbose.

The local progress output remains an explicit opt-in: only the literal verbose = true enables it. This matches the existing SDEPINN compatibility handling.

Issue #1105 currently records a separate numerical assertion failure in the data-collocation tutorial. This PR fixes the default-verbosity defect found during that investigation and does not close #1105.

Validation

• reproduced the pre-fix TypeError: non-boolean (DiffEqBase.DEVerbosity...) used in boolean context in both NNODE and NNSDE with Julia 1.12.6 and DiffEqBase 7.13.0
• rendered a normal Documenter @example containing both omitted-verbose solves on Julia 1.12.6 and Julia 1.10.11
• passed NNSDE1/nn_sde__test_1_solve_autodiff.jl on Julia 1.12.6, 1.11.9, and 1.10.11
• passed Runic and git diff --check
• full NNODE/NNSDE groups and the unmodified clean full-docs build are still running locally; final results will be added in a PR comment

Ignore this PR until it has been reviewed by @ChrisRackauckas.

[ChrisRackauckas-Claude]

Local validation for 8ff0357a2834a69787b1e83a8b3ad811733c98cc is complete.

Reproduction and regression

With DiffEqBase 7.13.0, omitting verbose before the fix produced this error in both NNODE and NNSDE:

TypeError: non-boolean (DiffEqBase.DEVerbosity{true, SciMLLogging.Minimal, SciMLLogging.Minimal}) used in boolean context

The NNODE failure was at src/ode_solve.jl:470; NNSDE was at src/NN_SDE_solve.jl:904. After the fix, the same omitted-verbose, one-iteration solves completed. A normal Documenter HTML build containing both exact solve paths passed on Julia 1.10.11 and 1.12.6 with no warnonly or exception handling.

Test matrix

I ran each group independently with a six-hour shell timeout using this command shape (with the listed Julia channel, group, and isolated depot):

env GROUP=<group> JULIA_DEPOT_PATH=<depot> \
  timeout 21600 /home/crackauc/.juliaup/bin/julia +<channel> \
  --startup-file=no --color=no --project=. \
  -e 'using Pkg; Pkg.test(; julia_args = ["--startup-file=no"])'

Results:

Julia	GROUP=NNODE	GROUP=NNSDE1
1.10.11	pass	pass
1.11.9	pass	pass
1.12.6	pass	pass

Every run executed the complete selected group and ended with Testing NeuralPDE tests passed. The modified NNODE scalar file passed 3/3 in every NNODE run, and the modified NNSDE autodiff file passed 3/3 in every NNSDE1 run.

Docs investigation

The unmodified full docs path on clean base bac74b6fe9dac88cc3248bb3dc730048291fb647 independently reproduced issue #1105's data-collocation assertion. That page explicitly passes verbose = true, so it does not exercise the fixed default and is a separate numerical-result failure. The exact reproduction and corrected file history are recorded in #1105 (comment).

Formatting

/home/crackauc/.julia/juliaup/julia-1.12.6+0.x64.linux.gnu/bin/julia \
  --startup-file=no \
  --project=/home/crackauc/sandbox/tmp_20260708_051717_3275/qa-artifacts/runic-julia-env \
  -e 'using Runic; exit(Runic.main(ARGS))' -- --check --diff \
  src/ode_solve.jl src/NN_SDE_solve.jl \
  test/NNODE/nnode__scalar.jl \
  test/NNSDE1/nn_sde__test_1_solve_autodiff.jl

git diff --check HEAD^ HEAD

Both commands exited 0 against the pushed commit.

[ChrisRackauckas-Claude]

Current CI failure classification:

• QA fails the pre-existing blanket-reexport check. That work is isolated in draft PR Enforce SciMLTesting 2.4 public API QA #1106.
• AdaptiveLoss fails the deterministic pre-existing GradientScale assertion (0.6782495387996011 < 0.4) on Julia 1.10 and 1.11. That fix is isolated in draft PR Restore GradientScale AdaptiveLoss test capacity #1107.
• downgrade NNPDE1 fails during dependency precompilation before the changed code is exercised: old OptimizationOptimisers cannot resolve @SciMLMessage, and old CUDA/Lux components cannot resolve APIUtils.

I am not adding these unrelated fixes to this focused default-verbosity PR. The affected NNODE/NNSDE1 jobs remain the relevant CI signal; NNODE on Julia 1.10 is already green.

[ChrisRackauckas]

This should instead update to preferring the DEVerbosity / SciMLLogging.