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feat(atoms): Wave 4 — atom finding, GPU refinement, property maps - #85

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feat(atoms): Wave 4 — atom finding, GPU refinement, property maps#85
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Closes #75, #77, #79. Part of tracker #48.

Stacked on #82 (needs the 2-D fitting engine) — base retargets to main once that lands.

Division of labour

atomap owns the structure — peak finding, sublattices, neighbours, zone axes, dumbbell pairing — because reimplementing it would diverge from published atomap results.

SpyDE owns the refinement, because refining atom positions is a batched 2-D gaussian fit, and spyde.fitting already does the whole field in one Levenberg–Marquardt where atomap fits one atom at a time with scipy.

Only find_atoms needs the atoms extra; refinement and the property maps are plain numpy/torch, so they're testable and usable without it.

Accuracy, against ground truth

The new atom_lattice() generator knows exactly where every atom is, so refinement is scored against those positions rather than against atomap's answer:

median error
full pipeline (find → COM → gaussian) 0.2 px
refinement alone, worst case < 0.1 px

Tolerances are tight deliberately — a test accepting ±1 px would pass with the refinement removed entirely.

Details pinned by tests because they're easy to get wrong

  • A pinned atom is excluded from the fit, not fitted and then discarded. Otherwise the work is wasted and a diverging neighbour can still perturb the shared solve. (This is the red/green toggle from [4.2] The three atomap GUI functions as anyplotlib overlays #76.)
  • A fit that leaves its own box keeps its input position — a wild coordinate is worse than an unrefined one.
  • Gaussian A is a volume, so the amplitude seed is scaled by 2πσ². Seeding with peak height starts every fit an order of magnitude low.
  • Ellipticity is max/min σ, never σx/σy. The latter drops below 1 for an atom elongated along y, putting a spurious boundary wherever the elongation direction changes.
  • Displacement uses a local reference (centroid of k neighbours), so it measures real distortion and is immune to drift or a tilted scan — a globally-fitted ideal lattice reports both as displacement.

Data

atom_lattice() grows dumbbell / displacement / ellipticity knobs so the downstream maps have something real to recover instead of a uniform zero. The grid is non-square and the ellipticity test requires the right-hand atoms to be measurably more elliptical than the left — a transposed or flipped result fails.

25 tests, all green.

Still open in this wave

#76 (the three atomap GUI functions as anyplotlib overlays) and #78 (dumbbell lattices). #76 is UI — it gets verified by running the app and looking at pixels, which I've deliberately left for when you're around rather than doing unattended.

Five waves, each independently shippable behind its own optional extra.
Tracked in #48 with a sub-issue per task.

Decisions recorded up front, because each one shapes the code:

- spyde/models/ is already the neural disk detector, so the HyperSpy model
  port lives in spyde/fitting/. Unrelated meanings of "model".
- exspy/kikuchipy/atomap ship as optional extras gated by a new
  requires_package key, mirroring requires_vectors.
- The fitting engine is a batched GPU Levenberg-Marquardt over the whole nav
  grid (the vector_orientation_gpu.py playbook), with SAMFire's
  neighbour-seeding kept as the seed source rather than the scheduler.

Measured baseline that motivates it: multifit on 1024 spectra x 1024 channels
runs 10.83 s = 95 spectra/s single-threaded, which extrapolates to 11.6 min
for a 256x256 SI. Parity with multifit is the acceptance test, not
convergence.

Also found while measuring: numexpr is not installed, so every hyperspy
Expression component silently falls back to numpy.
Waves 1-4 need something loadable per modality from day one, before the real
datasets land (#80). These are also the better thing to test against: the
ground truth is known exactly, so a fit or an indexing run is scored against
the numbers the data was built from rather than a golden file that quietly
encodes yesterday's bug.

  eels_si       power law + C/N/O K edges at real onsets, intensities
                following known concentration maps
  eds_si        bremsstrahlung + Fe/Ni/Cu K families at real energies, with
                Fe-Kb/Ni-Ka overlapping ON PURPOSE so family-aware fitting is
                actually exercised rather than assumed
  ebsd_patterns real gnomonic Kikuchi-band geometry for a cubic crystal over a
                two-grain orientation field; the exact Euler angles are stamped
                on the signal, so dictionary indexing can be checked against
                truth instead of against a fixture of its own output

Every spatial map is distinguishable from its transpose and both mirrors, so a
flipped axis fails a test instead of looking fine — the si_grains/movie
precedent.

Ground truth is read with spyde.data.ground_truth(), not straight off the
metadata: hyperspy turns nested metadata dicts into DictionaryTreeBrowser
nodes, which have no .values().

None of this needs exspy or kikuchipy. set_signal_type is attempted and its
"not understood" warning demoted to debug, so a user without the extras gets
usable data and no scary warning.

Reachable as load_test_data_eels / _eds / _ebsd.
Closes the framework half of #49.

requires_package: hides a toolbar action until its optional extra is
importable, mirroring requires_vectors — so a user without spyde[eels] never
sees a button that would raise ImportError on click. Resolved with find_spec,
so it never imports the package and never pays its import cost; cached, since
an extra cannot appear mid-session.

Applied in BOTH filter paths. get_toolbar_actions_for_plot and
_action_matches_plot duplicate the gate list, and adding a key to one renders a
button that never dispatches. A test asserts both contain it.

Extras: eels (exspy), ebsd (kikuchipy), atoms (atomap), all. Deliberately not
core deps — each pulls a large tree and the frozen app must stay installable
for someone who only does 4D-STEM. A CI job installs spyde[all] so the gated
code actually executes; the default job proves the app still works with none of
it.

NOT adding numexpr, and pyproject now says why. Hyperspy warns "Numexpr is not
installed ... which is slower to calculate model" on every model build, but at
spectrum sizes that advice is backwards. Measured on a 1024-channel multifit:

    absent          110 spectra/s
    numexpr,  1 thr  77
    numexpr,  4 thr  75
    numexpr, 48 thr  70

numexpr's per-call setup and thread dispatch dominate arrays of ~1k elements.
The warning will keep inviting someone to add it, hence the comment.
Ports hyperspy's model concept and makes it fast. #51, #52, #53.

Lives in spyde/fitting/, NOT spyde/models/ — that name is already the neural
disk detector. Unrelated meanings of "model".

  spec.py        ModelSpec: serialisable, round-trips against hyperspy's
                 BaseModel.as_dictionary(), so a model built here opens in
                 plain hyperspy. Packed parameter order IS the API — column j
                 always means the same parameter.
  components.py  batched autograd-differentiable ports of hyperspy's
                 components; no Python loop over pixels anywhere
  engine.py      batched Levenberg-Marquardt over the whole nav grid

Why it works: n (free parameters) is tiny even when P and C are large, so the
normal equations are (P, n, n) — a batch of small solves torch.linalg does
natively. The one large object is the (P, C, n) Jacobian, so P is chunked.
Jacobian by jacfwd not jacrev: forward-mode costs one pass per INPUT (n~10),
reverse one per OUTPUT (C~2000).

One implementation, not two. The "CPU fallback" is this code with
device="cpu"; a separate scipy path would be a second thing to keep in
agreement with hyperspy, and hyperspy already IS the reference — the
acceptance test asserts parameter parity with multifit directly, because "it
converged" proves nothing when you are replacing a reference implementation.

Measured, 1024 spectra x 1024 channels, PowerLaw + 3 Erf (11 free params):

    hyperspy multifit   214.80 s     4.8 spectra/s
    batched cpu          27.02 s    37.9 spectra/s    7.9x
    batched cuda          3.97 s   257.8 spectra/s   54.1x

Two numerical traps found by measurement, both documented at the code:

- Column scaling is load-bearing, not a refinement. A PowerLaw fits A ~ 1e6
  alongside r ~ 3, so cond(JtJ) ~ 1e12 and float64 Cholesky loses nearly every
  digit in the small-eigenvalue direction. Unscaled: 247 iterations for a TWO
  parameter fit, stopping 1.5-3.5% short of multifit. Scaled: 46 iterations to
  chisq ~1e-34.
- Convergence must be a GRADIENT test. Testing step size alone reads "stuck
  against a wall with large lambda" as converged; requiring an ACCEPTED step
  instead never fires at all, because at the optimum nothing improves.

Convergence on hard many-parameter models is still seed-limited (hyperspy hits
maxfev on the same model) — that is what seeded propagation (#54) is for.
Answers "is PyTorch really the right way to fit?" — the honest answer was
"yes as a vehicle, no as I was using it". Profiling the solver:

    residual evaluation    3.4 ms
    jacfwd Jacobian       51.6 ms      <- 94% of the solver

Forward-mode AD costs one forward pass per parameter, and these components have
closed-form derivatives that mostly reuse the value already computed
(df/dA IS the shape for every linear amplitude). So components now carry
analytic gradients and the engine builds the Jacobian directly; autodiff stays
as the fallback for any component without one.

    batched cpu    37.9 -> 105.9 spectra/s   (2.8x)
    batched cuda  257.8 -> 361.6 spectra/s   (1.4x)

The GPU gains less because it is now dispatch-bound, not compute-bound — the
remaining lever there is kernel fusion, not more math.

Also: the chunk heuristic was starving the GPU. Capping the Jacobian at 2**22
elements chopped a 1024-spectrum batch into pieces of 372 and cost a third of
the throughput (178 vs 267 spectra/s). Raised to 2**26 so typical scans run
unchunked.

Correctness is unchanged and still defined by hyperspy: every analytic gradient
is asserted equal to autodiff's, which is the ideal oracle since it is derived
mechanically from the value function and cannot share a mistake with a
hand-written formula.

seeding.py implements #54 — coarse strided fit, propagate to nearest neighbour,
one batched refine. SAMFire's insight (a neighbour's result is the best start)
without SAMFire's per-pixel scheduler. Only CONVERGED coarse fits propagate: a
failed one has wandered somewhere unphysical and seeding from it spreads the
failure rather than the answer.

Two benchmark corrections, both of which had been quietly measuring the wrong
thing:

- With exspy installed, create_model() returns an EELSModel that ALREADY has a
  background, so the reference model had TWO PowerLaws while the batched side
  had one. Both sides must fit the same model or the comparison means nothing.
- The EELS benchmark model cannot represent a hydrogenic edge, so neither
  engine converges and it was timing the iteration cap. Added a well-posed EDS
  case (gaussian peaks, which the library expresses exactly) as the default;
  EELS stays as the deliberately-hard timing-only case, documented as such.

On the well-posed case: 57.6% converged, 361 spectra/s, 11.6x multifit.
Gaussian2D through the SAME engine, not a second code path. An image is
flattened to H*W sample points exactly as a spectrum is C channels; the only
difference is that the "axis" carries (x, y) PAIRS instead of scalars, handled
by one branch in TorchComponent._split. Packing, the Jacobian, bounds, fixed
parameters and the LM solve are all the 1-D machinery unchanged — and the tests
assert that rather than assume it (bounds and fixed-parameter tests are
repeated in 2-D precisely because a different shaping path is where they would
break).

image_coordinates() builds the coordinate grid, row-major so it lines up with
a .ravel()'d image.

The test image is deliberately NON-SQUARE (24x28): a transposed coordinate grid
would run happily on a square one and put every peak in the wrong place.

As in 1-D, A is the VOLUME under the surface rather than the peak height —
transcribed from hyperspy's expression, with parity, batching and
analytic-vs-autodiff gradient tests to keep it honest.

This also unblocks Wave 4: refining atom positions IS a batched 2-D gaussian
fit (#77).
Division of labour, and why this wave is small: atomap owns the STRUCTURE
(peak finding, sublattices, neighbours, zone axes, dumbbell pairing) because
reimplementing it would diverge from published atomap results. SpyDE owns the
REFINEMENT, because refining atom positions IS a batched 2-D gaussian fit and
spyde.fitting already does the whole field in one Levenberg-Marquardt where
atomap fits one atom at a time with scipy.

Only find_atoms needs the atoms extra; refinement and the property maps are
plain numpy/torch, so they are testable and usable without it.

Correctness comes from ground truth: the new atom_lattice() generator knows
exactly where every atom is, so refinement is scored against those positions
rather than against atomap's answer. The full pipeline (find -> COM -> gaussian)
recovers them to a MEDIAN error of 0.2 px, and refinement alone to better than
0.1 px worst-case. Tolerances are tight deliberately — a test accepting +/-1 px
would pass with the refinement removed entirely.

Details that are easy to get wrong and are pinned by tests:

- A pinned atom (the red/green toggle, #76) is EXCLUDED from the fit, not
  fitted and discarded — otherwise the work is wasted and a diverging neighbour
  can still perturb the shared solve.
- A fit that leaves its own box keeps its INPUT position. A wild coordinate is
  worse than an unrefined one.
- Gaussian A is a VOLUME, so the amplitude seed is scaled by 2*pi*sigma^2;
  seeding it with the peak height starts every fit an order of magnitude low.
- Ellipticity is max/min sigma, never sigma_x/sigma_y: the latter drops below 1
  for an atom elongated along y and puts a spurious boundary wherever the
  elongation direction changes.
- Displacement uses a LOCAL reference (the centroid of k neighbours), so it
  measures real distortion and is immune to drift or a tilted scan, which a
  globally-fitted ideal lattice would report as displacement.

atom_lattice() also grows dumbbell / displacement / ellipticity knobs so the
downstream maps have something real to recover instead of a uniform zero.
Many structures image as PAIRS of closely-spaced atoms. Treating each pair as
two independent atoms throws away what the pair actually measures — the
separation and orientation that carry polarisation, tilt and local strain.

Follows atomap's workflow: estimate the dumbbell vector, pair the atoms, then
measure. The vector is estimated from the data rather than typed in, since it
depends on the projected structure and the scan rotation.

The part worth reading is refine_pairs, which exists because writing the tests
exposed a systematic error rather than a bug. Fitting each atom of a dumbbell
INDEPENDENTLY biases its centre TOWARDS its partner: the partner's tail is
signal a single gaussian can only explain by moving. The separation therefore
comes out too small — and uniformly so, which makes it look like a calibration
rather than an error. Measured on a synthetic dumbbell of 6.0 px with
sigma 2.0, independent fits return 4.21 px, a 30% underestimate.

Fitting both atoms in ONE box as one two-gaussian model recovers 6.0, because
each atom now explains the other's tail instead of absorbing it. Every pair is
still one batched call — the engine does not care that the model gained a
component. This is a good advert for the engine: the fix is a different MODEL,
not different code.

Three tests pin it: that independent fitting shows the bias (and says so if it
ever stops), that joint fitting recovers the truth, and that joint beats
independent by at least 5x — so a regression in either path shows up as the gap
closing from the wrong side.

Also pinned, because each is silently plausible if wrong:

- The vector estimate must not CANCEL. Each pair contributes +v from one atom
  and -v from the other, so averaging without folding onto a half-plane gives
  exactly zero, which looks like a legitimate answer.
- Pairing must not claim an atom twice, or there are more pairs than atoms.
- The angle is folded to a half-turn, or two identical dumbbells differ by pi
  depending on which atom was listed first and an angle map shows a boundary
  that is not there.
@CSSFrancis

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#78 dumbbell lattices — and a systematic error the tests exposed

Estimate the dumbbell vector → pair the atoms → measure. The vector is estimated from the data rather than typed in, since it depends on the projected structure and the scan rotation.

The part worth reading is refine_pairs. Writing the end-to-end test surfaced not a bug but a systematic measurement error:

Fitting each atom of a dumbbell independently biases its centre towards its partner — the partner's tail is signal a single gaussian can only explain by moving. The separation comes out too small, and uniformly so, which makes it look like a calibration rather than an error.

measured separation (true = 6.0 px, σ = 2.0)
independent fits 4.21 px — a 30% underestimate
joint pair fit 6.0 px

Fitting both atoms in one box as one two-gaussian model fixes it, because each atom now explains the other's tail instead of absorbing it. Every pair is still one batched call — the engine doesn't care that the model gained a component.

This is a good advert for the engine, incidentally: the fix was a different model, not different code.

Three tests pin it — that independent fitting shows the bias (and says so if that ever stops being true), that joint fitting recovers the truth, and that joint beats independent by ≥5×, so a regression in either path shows as the gap closing from the wrong side.

Also pinned, because each is silently plausible if wrong

  • The vector estimate must not cancel. Each pair contributes +v from one atom and −v from the other, so averaging without folding onto a half-plane gives exactly zero — which looks like a legitimate answer.
  • Pairing must not claim an atom twice, or there are more pairs than atoms.
  • The angle is folded to a half-turn, or two identical dumbbells differ by π depending on which atom was listed first, and an angle map shows a boundary that isn't there.

Wave 4's compute layer is now complete: #75, #77, #78, #79. 50 tests green.

Still open here: #76 (the three atomap GUI functions as anyplotlib overlays) — UI, needs screenshots.

@CSSFrancis
CSSFrancis changed the base branch from feat/0.3.0-wave0-wave1 to feat/0.3.0 July 28, 2026 13:50
@CSSFrancis
CSSFrancis merged commit 27c9ee8 into feat/0.3.0 Jul 28, 2026
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