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Fix fft vmap and jvp for transforms over a subset of axes - #4138

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zcbenz merged 1 commit into
ml-explore:mainfrom
kapellirohith:hunt-2026-08
Aug 19, 2026
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zcbenz merged 1 commit into
ml-explore:mainfrom
kapellirohith:hunt-2026-08

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@kapellirohith kapellirohith commented Aug 10, 2026 •

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Problem

The forward mode derivative of an fft that does not cover every axis of the
array is silently wrong. Since a batch axis is never transformed, that is the
ordinary batched case.

Minimal reproducer (M3 Pro, macOS 26.x, main @ e78d894):

import mlx.core as mx

mx.random.seed(0)
x = mx.random.normal((4, 5)) + 0j
t = mx.random.normal((4, 5)) + 0j
f = lambda a: mx.fft.fft(a, axis=0)

# the fft is linear, so the tangent is exactly f(t)
tangent = mx.jvp(f, [x], [t])[1][0]
print(mx.max(mx.abs(tangent - f(t))))            # before: 8.1547 ; after: 0.0
print(mx.max(mx.abs(tangent - mx.fft.fftn(t))))  # before: 0.0    ; after: 8.1547

The second line is the positive identification: before this change the tangent
is not merely wrong, it is exactly fftn over every axis, to 0.0.

A 1-D input, where the single axis is all the axes: 0.0 before and after.
mx.grad of the same function: correct before and after.
mx.fft.fftn(a, axes=(0, 1)) on a 3-D array: 16.038 before, 0.0 after.
Only forward mode, and only when the transformed axes are a strict subset.

Mechanism

FFT::jvp called the no-axes fftn, rfftn, ifftn and irfftn overloads.
Those resolve to fft_impl(a, real, inverse, norm, s), which builds
std::vector<int> axes(a.ndim()) and std::iotas it, so the tangent was
transformed over every axis regardless of axes_.

For rfft(axis=0) on a (4, 6) real input the shape itself comes back
(4, 4) instead of (3, 6): rfftn over both axes halves the last axis,
rfft(axis=0) halves the first.

FFT::vjp immediately above already threads axes_ into all four branches,
which is why reverse mode is correct and this survived.

Separately, FFT::vmap applied the real transform size change to every
transformed axis, while fft_impl resizes only valid_axes.back(). vmap of
rfft2 on a (3, 8, 8) array returned (3, 5, 5) instead of (3, 8, 5), and
vmap of irfft2 returned an output larger than the input supports. Note that
valid_axes is in the order the caller passed, not sorted, so the axis that
changes size is the last one passed; the fix keys off fft_axes.back() and
preserves that.

Both date to the initial commit d1f8627 (2023-11-29).

Why existing tests missed it

test_fft_grads covers mx.grad only, and there was no vmap or jvp coverage
for the fft anywhere in the Python or C++ suites.

Known limitation, not fixed here

vmap of irfftn with an explicitly requested odd output length still returns
2 * (n - 1):

base = mx.random.normal((3, 4)) + 0j
mx.fft.irfft(base[0], n=7).shape          # (7,)
mx.vmap(lambda a: mx.fft.irfft(a, n=7))(base).shape   # (3, 6)

This is a genuine collision, not an oversight in the rule. The primitive stores
only (axes_, inverse_, real_), and n = 6 and n = 7 both produce an
irfftn input whose last axis is n // 2 + 1 == 4, so the requested size is
unrecoverable from the primitive state by the time vmap runs. Fixing it means
adding an output size field, which changes state() and therefore export
serialization, so I left it out of this change.

Validation

M3 Pro, macOS 26.x, against main @ e78d894. Identical results on GPU and with
mx.set_default_device(mx.cpu), as expected for a graph level change.

check result
every axis subset and order, 1-D to 4-D, all eight fft variants, linearity identity jvp(f)(x,t) == f(t) and the vjp transpose identity Re<L t, c> == Re<t, L* c> 1128 checks, 0 failures per device
vmap(jvp), jvp(vmap), jvp(jvp) and vjp(jvp) (the last two exactly zero, as required for a linear map) 0 failures
norm= backward, ortho and forward under jvp and vmap 0 failures
fft over a size-1 axis, under jvp and vmap 0 failures
grad(vmap(f)) against per-slice grads, and vmap(grad(f)) 0 failures
vmap against the stack of the op over each slice, five axis orders including reversed and positive 0 failures
mx.compile cold and warm, including compiled vmap 16 checks, 0 failures per device
export and import round trip pass
200 consecutive runs of the new tests 0 failures
python suite, GPU and cpu 815 tests, pre-existing test_fft_too_large on cpu only
C++ suite, both devices 263 cases, 3577 and 3581 assertions

Not verified locally: CUDA, Linux, Windows.

Tests

test_fft_vmap checks vmap against the stack of the op applied to each slice,
and test_fft_jvp checks the tangent against f(t), both over real and inverse
and five axis orders. Both fail on main.

Checklist

Put an x in the boxes that apply.

  • I have read the CONTRIBUTING document
  • I have run pre-commit run --all-files to format my code / installed pre-commit prior to committing changes
  • I have added tests that prove my fix is effective or that my feature works
  • I have updated the necessary documentation (if needed)

FFT::jvp dropped axes_ and transformed every axis of the tangent, so the
forward mode derivative of any fft over a subset of the axes was silently
wrong. This is the common case since a batch axis is not transformed.

FFT::vmap resized every transformed axis for a real transform, but only
the last one changes size. vmap of rfftn or irfftn returned a wrongly
shaped output, and for irfftn the output was larger than the data the
transform produces.
@kapellirohith
kapellirohith marked this pull request as draft August 10, 2026 16:39
@kapellirohith
kapellirohith marked this pull request as ready for review August 10, 2026 19:32
@zcbenz zcbenz added the await verification This pull request is non-trivial and requires a human expert to verify its correctness. label Aug 11, 2026
@zcbenz zcbenz removed the await verification This pull request is non-trivial and requires a human expert to verify its correctness. label Aug 19, 2026
@zcbenz
zcbenz merged commit 3e8113c into ml-explore:main Aug 19, 2026
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davidtai added a commit to Layr-Labs/mlx that referenced this pull request Aug 25, 2026
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* Fix median dropping NaN (ml-explore#4146)

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exercise the trim deterministically and as an operator safety valve.

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* perf(mlx): add opt-in Gemma 4 expert-QMM tile kernel with parallel descriptor builder

Adds a distinctly-named expert QMM implementation for the Gemma 4
26B-A4B MoE production shapes, gated by MLX_GATHER_QMM_EXPERT_SLICES:

- qmm_t_expert_impl: BM32 expert tile body (BM16 fallback rows) taking a
  private/by-value row count; the shared qmm_t_impl constant-address ABI
  and all ordinary gathered/batched/dense QMM routes are unchanged.
- build_gemma4_sorted_expert_tiles_bm32: one 128-thread threadgroup
  replaces the reference design's single-GPU-thread serial builder;
  parallel expert-range binary search, Hillis-Steele scan, and strided
  upper-bound descriptor emission.
- Selector runs after the NAX-first route and requires affine BF16
  transposed inputs, 4-bit gs=64 weights, 128 experts, assignment counts
  of exactly 4096/8192/16384, and the exact gate/up or down rank-3
  shapes; every miss keeps the legacy route. NAX engagement is
  non-engagement, never bypassed.
- device.{h,cpp}: one-shot request resolution, nonthrowing dual-symbol
  AOT probe/prewarm, relaxed-atomic diagnostics (requested, aotAvailable,
  naxAvailable, hits, per-class fallbacks).
- gpu_tests: exact-shape arithmetic parity, fallback, and counter
  invariant probes.

Retention standing (2026-08-09 production matrix): opt-in experiment.
Standalone profile dropped (prefill -10.2% vs bracket); paired
weighted-unsort+R1 profile retained-final (prefill +1.8%, TTFT -7.5%,
decode +3.3%, arrival E2E +12.0%). NOTE: this source post-dates the
benchmarked binaries/metallib (post-measurement kernel-body edit);
rebuild and re-verify before any performance claim.

* fix(mlx): fail-safe sortedness check in gemma expert tile builder; counter/atomic hygiene

Review-wave fixes for the R1 expert-QMM path:

- N1 (sortedness trust): build_gemma4_sorted_expert_tiles_bm32 now
  verifies each thread's post-binary-search segment boundary against the
  generalized invariant indices[start - 1] < lid <= indices[start]
  (edge threads check their single neighbor), votes per simdgroup via
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  violation retracts count[0] to 0 (tile kernel then early-returns) and
  records the violation in count[1]; the buffer ABI is unchanged
  (count index 1 was previously unused). try_gemma4_expert_qmm allocates
  the second count element, drains the encoder after the builder, and
  re-routes a retracted call to the order-agnostic legacy path instead of
  dispatching the tile kernel (zero count is unambiguous: the selector's
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- N2 (route-condition duplication): the sorted-RHS gate literal that
  appeared (negated) in the diagnostics record and in the dispatch
  decision is now the shared static constexpr predicate
  takes_sorted_rhs_route, so future tuning of the 16/4 thresholds cannot
  desynchronize counter vs route.
- N3 (per-call bias normalization): gather_qmm_rhs no longer spends
  ensure_row_contiguous on biases before classification reads the raw
  tensor's fields; normalization runs only inside the winning-route
  branch (hit semantics unchanged; the legacy block keeps its own
  normalization point and ordering).
- N4 (armed_ data race): Gemma4ExpertQMMCounters::armed_ is now
  std::atomic<bool> with relaxed loads/stores in armed(), snapshot(),
  snapshot_and_disarm() (read-then-write order preserved) and
  clear_and_arm(); the class remains non-copyable, now enforced.

* fix(mlx): make the R1 sortedness fail-safe sound; proper retract attribution

F1: the per-expert boundary vote was a partial detector -- an inversion
inside a segment used by no other expert's boundary could escape, so
"re-route on any violation" overclaimed. build_gemma4_sorted_expert_tiles_bm32
now also runs a strided adjacent-pair scan: thread lid checks
indices[i-1] <= indices[i] for i = lid+1; i < M; i += 128, covering every
adjacent pair in [1, M) exactly once (1..128 iterations at the reachable
M in {4096,8192,16384}). Adjacent-pair monotonicity is transitive, so a
clean scan is a sound and complete sortedness oracle; it folds into the
same simd_or/threadgroup vote and the same retract (count[0]=0, count[1]=1).
The boundary checks stay as cheap, precise diagnostics.

F2: retracts were write-only in count[1] and surfaced as
fallback_metallib_unavailable -- misattribution in the only observable
surface. A dedicated fallback_sortedness_retracted counter now rides the
GemmA4 route counters and the C diagnostics ABI
(sizeof 80 -> 88, new uint64 at offset 80; existing offsets unchanged).
try_gemma4_expert_qmm returns the route class: count[0]==0 with count[1]==1
records fallback_sortedness_retracted, any other unusable build keeps
fallback_metallib_unavailable, then re-routes to the legacy path as before.

F4: new doctest drives the full armed() -> clear_and_arm() ->
snapshot_and_disarm() cycle and the attempts == hits + fallbacks invariant
including the new class; the route-table and counter-invariant tests now
cover fallback_sortedness_retracted.

Verified: cmake tests 262/262 + 3550 assertions pass; metal -Wall -Wextra
-fno-fast-math compile of kernels/quantized.metal is warning-free.

* perf(metal): E=256 expert-tile route + trust + gpu::eval UAF fix — darkbloom-base mirror (#7)

* perf(metal): instantiate E=256 expert-tile route for Qwen 3.5/3.6 MoE prefill (mirror of Cmlx/mlx 58fab46)

* fix(metal): use-after-free in gpu::eval for primitives that synchronize mid-eval (mirror)

* perf(metal): trust mode skips retract readback (mirror)

* fix(compile): preserve all-cache binding cleanup

---------

Co-authored-by: JasonHonKL <148705846+JasonHonKL@users.noreply.github.com>
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