Fix Tracker gradient on RAT v4 by preserving the ODESolution wrapper#3665
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ChrisRackauckas merged 2 commits intoMay 21, 2026
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In RecursiveArrayTools v4 `AbstractVectorOfArray <: AbstractArray`, so the `sol isa AbstractArray` branch in `Tracker.@Grad function DiffEqBase.solve_up` now matches ODESolution and returns the nested `sol.u :: Vector{Vector{Float64}}` directly. Tracker tracks the vector-of-vectors, and downstream `sum(solve(...))` reduces the outer vector element-wise into a `Vector{Float64}`, breaking `Tracker.gradient(loss, p)` callers with "Function output is not scalar". Return the ODESolution wrapper itself for `AbstractVectorOfArray` inputs so callers reduce through the RAT v4 AbstractArray interface and get a scalar as before. Earlier attempt (SciML#3663) stacked into a fresh matrix via `Array(sol)`; that was reverted in SciML#3664 because it changed the return type and broke downstream consumers. Preserving the wrapper keeps the contract. Refs SciML/SciMLSensitivity.jl#1331. Co-Authored-By: Chris Rackauckas <accounts@chrisrackauckas.com>
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Please ignore until reviewed by @ChrisRackauckas.
Summary
Re-take on the Tracker + RAT v4 fix after the original #3663 was reverted in #3664. Same root cause, different correct shape.
In RecursiveArrayTools v4,
AbstractVectorOfArray <: AbstractArray, so thesol isa AbstractArraybranch inTracker.@grad function DiffEqBase.solve_upnow matches ODESolution and returns the nestedsol.u :: Vector{Vector{Float64}}directly. Tracker tracks the vector-of-vectors, and downstreamsum(solve(...))reduces the outer vector element-wise into aVector{Float64}, breakingTracker.gradient(loss, p)callers with"Function output is not scalar".The previous fix (#3663) stacked the data into a fresh
Matrix{Float64}viaArray(sol). That changed the return type ofsolve(...)from a wrapper to a matrix and broke downstream consumers — hence the revert in #3664. This PR returns the ODESolution wrapper itself forAbstractVectorOfArrayinputs, so callers reduce through the RAT v4 AbstractArray interface and produce a scalar without losing the solution type.Verification
Local on Julia 1.12.6 + RAT 4.3.0 + Tracker 0.2.38 + SciMLSensitivity master, with DiffEqBase 7.5.1 from this branch:
sum(solve(remake(prob; p), Tsit5()))sum(solve(...; save_idxs = [1]))sum(solve(...; save_everystep = false))sum(solve(...; saveat = 2.3))The five
@test_broken falseguards intest/concrete_solve_derivatives.jl(lines 518, 548, 579, 611, 735) on SciMLSensitivity are slated for removal in SciML/SciMLSensitivity.jl#1452, gated on this PR landing.Refs
@test_brokenguardsTest plan
solve_up @gradupdated to explain RAT v4 semantics