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fix(cake_kda_det): gate-gradient accuracy of the GLM intra stage (diagonal TF32 rounding) - #8909

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flashinfer-ai:mainfrom
yyihuang:fi-7817-fu2d-det-pr
Nov 6, 2026
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yyihuang merged 5 commits into
flashinfer-ai:mainfrom
yyihuang:fi-7817-fu2d-det-pr

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@yyihuang

@yyihuang yyihuang commented Nov 6, 2026 •

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Follow-up to #7817.

Summary

This PR updates the deterministic Cake package for KDA (Kimi Delta Attention) chunked training. The package contains the forward and backward passes. The family has these variants:

  • Gate form: g (precomputed log gate) or raw (the kernel computes the gate from A_log / dt_bias).
  • Q/K L2 norm: off, or fused into the kernel.
  • Backward path: saved (uses the saved forward set) or replay (checkpoint replay, saved=None).

The data types are bf16 for q/k/v/beta and fp32 for the gate. The head dimension is 128.

This PR changes two things:

  • Gate-gradient accuracy fix. In the backward GLM intra stage, both members of each diagonal pair term of the gate gradient now round on the same TF32 operands. dq and dbeta do not change. dk changes: its error against FP64 is up to about 5 % higher (at most about 1.11x the FLA 0.6.0 level).
  • Rolled loops. The larger kernels now stay inside the instruction cache.

On the fast-decay rows, the fix brings the gate-gradient error (the dg, dA_log and dt_bias gradients) down to about the FLA 0.6.0 chunk_kda level or lower. On main, this error was up to about 50x the FLA level.

Most rows are a little slower. This is the cost of the accuracy fix. The slowest backward row on every GPU is 4doc:raw:off:saved: +2.35 % on GB300, +2.17 % on GB200, +3.92 % on R200 212-SM and +3.42 % on R200 216-SM. On R200, the raw + fused L2 norm path is faster.

Row key: rows:gate:l2n:path.

  • 1doc: 1 sequence of 16384 tokens, 64 heads.
  • 4doc: 4 sequences of 8192/4096/3072/1024 tokens, 64 heads.
  • R2: 16384 tokens in 3 unequal sequences, 4 heads.
  • m2: 2 sequences of 2048/1500 tokens, 4 heads.

bwd is the backward pass only. fwd+bwd is the forward and backward passes together.

Each time is the median of 15 samples. One sample is the CUDA-event time of 20 back-to-back calls, divided by 20. The runs used a warm L2 and eager mode. "before main" is FlashInfer main at 79cf055, which has the previous Cake deterministic version. "after head" is this PR. An after/before value above 1.00 means this PR is slower.

GB300 (sm_103a, 152 SMs), CUDA 13 (torch 2.14.1+cu130, nvcc 13.4)

row op before main (ms) after head (ms) after/before
1doc:g:fused:saved bwd 3.3458 3.3797 1.0101
1doc:g:fused:saved fwd+bwd 4.4357 4.4696 1.0076
4doc:g:fused:saved bwd 3.2066 3.2408 1.0107
4doc:g:fused:saved fwd+bwd 4.2995 4.3322 1.0076
4doc:g:off:saved bwd 2.9184 2.9643 1.0157
4doc:g:off:saved fwd+bwd 3.9333 3.9787 1.0115
4doc:raw:off:saved bwd 3.1000 3.1728 1.0235
4doc:raw:off:saved fwd+bwd 4.2048 4.2789 1.0176
4doc:raw:fused:saved bwd 3.6953 3.7586 1.0171
4doc:raw:fused:saved fwd+bwd 4.9953 5.0352 1.0080
4doc:g:off:replay bwd 3.5801 3.6250 1.0125
4doc:g:off:replay fwd+bwd 4.5922 4.6382 1.0100
4doc:raw:off:replay bwd 3.8803 3.9556 1.0194
4doc:raw:off:replay fwd+bwd 4.9815 5.0539 1.0145
4doc:g:fused:replay bwd 3.9792 4.0086 1.0074
4doc:g:fused:replay fwd+bwd 5.0607 5.0923 1.0062
R2:g:off:saved bwd 0.4351 0.4415 1.0148
R2:g:off:saved fwd+bwd 0.6172 0.6237 1.0104
R2:raw:off:saved bwd 0.4717 0.4753 1.0077
R2:raw:off:saved fwd+bwd 0.6625 0.6658 1.0051
m2:g:off:saved bwd 0.2928 0.2927 0.9998
m2:g:off:saved fwd+bwd 0.5280 0.5285 1.0009
m2:raw:off:saved bwd 0.3837 0.3788 0.9874
m2:raw:off:saved fwd+bwd 0.6325 0.6332 1.0011

GB200 (sm_100a, 152 SMs), CUDA 13 (torch 2.14.1+cu130, nvcc 13.4)

row op before main (ms) after head (ms) after/before
1doc:g:fused:saved bwd 3.4439 3.4867 1.0124
1doc:g:fused:saved fwd+bwd 4.6138 4.6564 1.0092
4doc:g:fused:saved bwd 3.3052 3.3472 1.0127
4doc:g:fused:saved fwd+bwd 4.4797 4.5207 1.0092
4doc:g:off:saved bwd 3.0724 3.0979 1.0083
4doc:g:off:saved fwd+bwd 4.1099 4.1389 1.0071
4doc:raw:off:saved bwd 3.1313 3.1994 1.0217
4doc:raw:off:saved fwd+bwd 4.2618 4.3290 1.0158
4doc:raw:fused:saved bwd 3.7758 3.8470 1.0189
4doc:raw:fused:saved fwd+bwd 5.0872 5.1578 1.0139
4doc:g:off:replay bwd 3.8055 3.8297 1.0064
4doc:g:off:replay fwd+bwd 4.8431 4.8676 1.0051
4doc:raw:off:replay bwd 3.9811 4.0476 1.0167
4doc:raw:off:replay fwd+bwd 5.1095 5.1751 1.0128
4doc:g:fused:replay bwd 4.1564 4.1971 1.0098
4doc:g:fused:replay fwd+bwd 5.3223 5.3627 1.0076
R2:g:off:saved bwd 0.4462 0.4519 1.0128
R2:g:off:saved fwd+bwd 0.6333 0.6376 1.0068
R2:raw:off:saved bwd 0.4750 0.4775 1.0053
R2:raw:off:saved fwd+bwd 0.6917 0.6843 0.9893
m2:g:off:saved bwd 0.3053 0.3070 1.0055
m2:g:off:saved fwd+bwd 0.5610 0.5657 1.0083
m2:raw:off:saved bwd 0.4018 0.4048 1.0075
m2:raw:off:saved fwd+bwd 0.6745 0.6744 0.9998

The two R200 tables come from separate board classes (212 SMs and 216 SMs). Their results are not pooled.

R200 212-SM class, dlcluster VR200 (sm_107a, 212 SMs), CUDA 13 (torch 2.14.1+cu130, nvcc 13.4)

row op before main (ms) after head (ms) after/before
1doc:g:fused:saved bwd 2.3065 2.3502 1.0190
1doc:g:fused:saved fwd+bwd 3.2288 3.2767 1.0148
4doc:g:fused:saved bwd 2.1239 2.1699 1.0216
4doc:g:fused:saved fwd+bwd 2.9666 3.0158 1.0166
4doc:g:off:saved bwd 1.9049 1.9596 1.0287
4doc:g:off:saved fwd+bwd 2.5912 2.6463 1.0212
4doc:raw:off:saved bwd 2.0511 2.1315 1.0392
4doc:raw:off:saved fwd+bwd 2.7899 2.8700 1.0287
4doc:raw:fused:saved bwd 2.5503 2.5028 0.9814
4doc:raw:fused:saved fwd+bwd 3.4386 3.3932 0.9868
4doc:g:off:replay bwd 2.3458 2.4023 1.0241
4doc:g:off:replay fwd+bwd 3.0350 3.0908 1.0184
4doc:raw:off:replay bwd 2.5549 2.6348 1.0313
4doc:raw:off:replay fwd+bwd 3.2924 3.3728 1.0244
4doc:g:fused:replay bwd 2.6535 2.7012 1.0180
4doc:g:fused:replay fwd+bwd 3.4785 3.5267 1.0138
R2:g:off:saved bwd 0.3613 0.3669 1.0154
R2:g:off:saved fwd+bwd 0.5193 0.5251 1.0111
R2:raw:off:saved bwd 0.3905 0.3915 1.0027
R2:raw:off:saved fwd+bwd 0.5518 0.5527 1.0017
m2:g:off:saved bwd 0.2184 0.2198 1.0064
m2:g:off:saved fwd+bwd 0.3298 0.3310 1.0038
m2:raw:off:saved bwd 0.2385 0.2378 0.9971
m2:raw:off:saved fwd+bwd 0.3514 0.3508 0.9984

R200 216-SM (sm_107a, 216 SMs), CUDA 13 (torch 2.14.1+cu130, nvcc 13.4)

row op before main (ms) after head (ms) after/before
1doc:g:fused:saved bwd 2.3679 2.3978 1.0126
1doc:g:fused:saved fwd+bwd 3.3120 3.3378 1.0078
4doc:g:fused:saved bwd 2.2034 2.2362 1.0149
4doc:g:fused:saved fwd+bwd 3.0674 3.0969 1.0096
4doc:g:off:saved bwd 1.9766 2.0245 1.0242
4doc:g:off:saved fwd+bwd 2.6774 2.7250 1.0178
4doc:raw:off:saved bwd 2.1086 2.1807 1.0342
4doc:raw:off:saved fwd+bwd 2.8523 2.9241 1.0252
4doc:raw:fused:saved bwd 2.6044 2.5739 0.9883
4doc:raw:fused:saved fwd+bwd 3.5142 3.4845 0.9915
4doc:g:off:replay bwd 2.4256 2.4711 1.0188
4doc:g:off:replay fwd+bwd 3.1208 3.1663 1.0146
4doc:raw:off:replay bwd 2.6135 2.6813 1.0259
4doc:raw:off:replay fwd+bwd 3.3591 3.4284 1.0206
4doc:g:fused:replay bwd 2.7347 2.7672 1.0119
4doc:g:fused:replay fwd+bwd 3.5762 3.6085 1.0090
R2:g:off:saved bwd 0.3681 0.3736 1.0149
R2:g:off:saved fwd+bwd 0.5215 0.5284 1.0132
R2:raw:off:saved bwd 0.4001 0.4006 1.0015
R2:raw:off:saved fwd+bwd 0.5609 0.5609 0.9999
m2:g:off:saved bwd 0.2214 0.2231 1.0077
m2:g:off:saved fwd+bwd 0.3340 0.3357 1.0051
m2:raw:off:saved bwd 0.2407 0.2409 1.0007
m2:raw:off:saved fwd+bwd 0.3540 0.3546 1.0017

Other variants and coverage

The non-deterministic KDA training package and the context-parallel (KCP) deterministic package ship separately. This family ships on sm_100a, sm_103a and sm_107a.

Summary by CodeRabbit

  • Compatibility
    • Updated Cake KDA training packages for several GPU and CUDA configurations. Some configurations now require CUDA 12.9 or later; additional GPU architecture coverage is included.

…stage (diagonal TF32 rounding)

Follow-up to flashinfer-ai#7817.  The fused-l2n GLM intra programs (glm_intra_l2n on sm_100a / sm_107a,
glm_intra_v30_l2n on sm_103a) rounded the two members of each diagonal pair term of the gate
gradient on different TF32 values, so dg / dA_log / dt_bias lost accuracy at fast gate decay.
Both members now use the same TF32 operands and cancel to FP32 rounding; no MMA is added and
dq / dbeta keep their bits.  Record names and selection are unchanged; the two programs are
renamed with their new builds.
…e diagonal TF32 rounding fix (export kda_train migrate)

The parent commit changes four deterministic GLM intra programs in place
(same program names, new sources) that the non-deterministic package
ships as copies.  The copies and their build.json entries follow:

  det record      program               copy entry
  glm_intra       54786ffd01bd9b6bb416  cake_kda_train_..._sm_100a
  glm_intra_v14   c27b09eb5f5881be2969  cake_kda_train_..._sm_103a
  glm_intra_v18   aa6b5c23c97e1cb9880a  cake_kda_train_..._sm_107a
  glm_intra_raw   ea14e16d1fc71364ba03  cake_kda_train_..._sm_107a

Each copy is the deterministic unit with the package prefix renamed; the
build.json entries carry the new source digests and identity closures.
The other programs of the parent commit (glm_intra_l2n,
glm_intra_v30_l2n, glm_intra_l2n_capture, glm_intra_raw_l2n,
glm_intra_raw_l2n_capture) belong to the in-kernel Q/K L2 norm class,
which this package does not copy.  The package's own programs, its
registry and the KCP package are unchanged.

A second migration run changes nothing (fixed point); the same run on
79cf055 changes nothing.  tests/experimental/test_cake_kda*.py on CPU:
2000 passed, 913 skipped (parent: 1 failed,
test_copied_programs_are_the_deterministic_packages_sources).
… TF32 rounding, rolled drains)

The parent commit copies the deterministic GLM intra programs after the
diagonal TF32 rounding fix.  This commit renders the package's own GLM
intra programs from the matching generator sources, in place (same
program names, new sources; the registry is unchanged):

  record             program               arch
  glm_intra_v21      d5fd3f7234a4266e09d2  sm_100a
  glm_intra_v22      f4ea302627f05d805437  sm_103a
  glm_intra_v23      8ce96eeb5b7517229400  sm_107a
  glm_intra_v20c     87b73f813c841159bf43  sm_100a, sm_103a
  glm_intra_v20c_r8  31fa936f5468b5749a33  sm_100a

The S1 programs (v21 / v22 / v23) take the diagonal rounding of their
deterministic twins; the R1c programs (v20c / v20c_r8) take it with
their drains rolled.  build.json carries the new source digests,
identity closures and generator revision.  The copies, the package's
other programs and the KCP package are unchanged.

A second render changes nothing, and the migration of the copies is
still a fixed point.  tests/experimental/test_cake_kda*.py on CPU:
2000 passed, 913 skipped (parent: the same).
…PTX ISA 8.8 instructions

The sm_100a entries whose kernels use the 256-bit ld / st or the three-input
min / max declared min_cuda 12.8, but nvcc 12.8 emits PTX ISA 8.7 and
cannot build them.  Those entries now declare min_cuda 12.9.  Only
build.json changes.
…ISA 8.8 instructions

The parent commit raises the deterministic package's sm_100a entries
whose kernels use the 256-bit ld / st or the three-input min / max to
min_cuda 12.9: nvcc 12.8 emits PTX ISA 8.7 and cannot build them.
This package's copies of those programs (28 sm_100a entries) now
declare the min_cuda of the deterministic entries they copy, and its
own programs whose kernels use those instructions (3 sm_100a entries)
take the same floor.  Only build.json changes: 31 sm_100a entries
12.8 -> 12.9.  The sm_103a and sm_107a floors (12.9, 13.4) are
unchanged.

A second render and a second copy pass change nothing.
tests/experimental/test_cake_kda*.py on CPU: 2000 passed, 913 skipped
(parent: 1 failed, test_copied_programs_are_the_deterministic_packages_sources,
which holds the copies' min_cuda to the deterministic entries).
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Explain Change →

Walkthrough

The change refreshes CAKE KDA training build manifests and deterministic KDA training artifact records. It updates CUDA minimum versions and artifact hashes, adds a multi-architecture artifact record, and aligns deterministic-training registry entries and generated bindings with revised kernel names.

Changes: CAKE KDA training artifacts

Layer / File(s) Summary
KDA training manifest refresh
flashinfer/experimental/cake/cake_kda_train/build.json
The manifest updates generator metadata, raises minimum CUDA versions for multiple sm_100a entries, and refreshes selected closure and kernel-source hashes.
Deterministic KDA artifact and registration updates
flashinfer/experimental/cake_kda_det_train/build.json, flashinfer/experimental/cake_kda_det_train/cake_jit.py, flashinfer/experimental/cake_kda_det_train/csrc/*_binding.cu
The manifest updates CUDA minimum versions and artifact records, including a new record for three architectures. The JIT registry and generated bindings reference revised kernel names; launch configurations and arguments remain unchanged.

Estimated code review effort: 3 (Moderate) | ~20 minutes

Change: Bug fix

Pre-merge checks: Passed 3 · Failed 2

Failed Failed checks: 2 warnings

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Docstring Coverage Warning Docstring coverage is 0.00% which is insufficient. The required threshold is 80.00%. Docstring coverage is scoped to functions touched by this diff with cyclomatic complexity of at least 2. Documentat… Write docstrings for the functions missing them to satisfy the coverage threshold.
Passed Passed checks: 3 passed

Check name Status Explanation
Title check Passed The title clearly identifies the main gate-gradient accuracy fix.
Linked Issues check Passed Check skipped because no linked issues were found for this pull request.
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@flashinfer-bot flashinfer-bot added the op: linear attention KDA, mamba, GDN, etc. review filtering. label Nov 6, 2026
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@flashinfer-bot run tests/experimental/test_cake_kda_det_train.py tests/experimental/test_cake_kda_det_train_api.py tests/experimental/test_cake_kda_det_train_l2n.py tests/experimental/test_cake_kda_det_train_names.py tests/experimental/test_cake_kda_det_train_raw_gate_accuracy.py tests/experimental/test_cake_kda_det_train_kcp_l2n.py tests/experimental/test_cake_kda_det_train_kcp_raw_gate.py tests/experimental/test_cake_kda_train.py tests/experimental/test_cake_kda_train_api.py tests/experimental/test_cake_kda_train_handoff.py tests/experimental/test_cake_kda_train_kcp_raw_gate.py

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@flashinfer-bot run tests/experimental/test_cake_kda_det_train.py tests/experimental/test_cake_kda_det_train_api.py tests/experimental/test_cake_kda_det_train_l2n.py tests/experimental/test_cake_kda_det_train_names.py tests/experimental/test_cake_kda_det_train_raw_gate_accuracy.py tests/experimental/test_cake_kda_det_train_kcp_l2n.py tests/experimental/test_cake_kda_det_train_kcp_raw_gate.py tests/experimental/test_cake_kda_train.py tests/experimental/test_cake_kda_train_api.py tests/experimental/test_cake_kda_train_handoff.py tests/experimental/test_cake_kda_train_kcp_raw_gate.py

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Commits

Reviewing files that changed from the base of the PR and between 38bfc1b and 99ed8cc.

Files selected for processing: 23

  • flashinfer/experimental/cake/cake_kda_train/build.json
  • flashinfer/experimental/cake/cake_kda_train/csrc/cake_kda_train_31fa936f5468b5749a33_kernel.cu
  • flashinfer/experimental/cake/cake_kda_train/csrc/cake_kda_train_54786ffd01bd9b6bb416_kernel.cu
  • flashinfer/experimental/cake/cake_kda_train/csrc/cake_kda_train_87b73f813c841159bf43_kernel.cu
  • flashinfer/experimental/cake/cake_kda_train/csrc/cake_kda_train_8ce96eeb5b7517229400_kernel.cu
  • flashinfer/experimental/cake/cake_kda_train/csrc/cake_kda_train_aa6b5c23c97e1cb9880a_kernel.cu
  • flashinfer/experimental/cake/cake_kda_train/csrc/cake_kda_train_c27b09eb5f5881be2969_kernel.cu
  • flashinfer/experimental/cake/cake_kda_train/csrc/cake_kda_train_d5fd3f7234a4266e09d2_kernel.cu
  • flashinfer/experimental/cake/cake_kda_train/csrc/cake_kda_train_ea14e16d1fc71364ba03_kernel.cu
  • flashinfer/experimental/cake/cake_kda_train/csrc/cake_kda_train_f4ea302627f05d805437_kernel.cu
  • flashinfer/experimental/cake_kda_det_train/build.json
  • flashinfer/experimental/cake_kda_det_train/cake_jit.py
  • flashinfer/experimental/cake_kda_det_train/csrc/cake_kda_det_train_37ed4f705c286adadd40_kernel.cu
  • flashinfer/experimental/cake_kda_det_train/csrc/cake_kda_det_train_54786ffd01bd9b6bb416_kernel.cu
  • flashinfer/experimental/cake_kda_det_train/csrc/cake_kda_det_train_6308ef19a5bf0691fcfe_kernel.cu
  • flashinfer/experimental/cake_kda_det_train/csrc/cake_kda_det_train_a135a53a639f33f921ab_binding.cu
  • flashinfer/experimental/cake_kda_det_train/csrc/cake_kda_det_train_a135a53a639f33f921ab_kernel.cu
  • flashinfer/experimental/cake_kda_det_train/csrc/cake_kda_det_train_aa6b5c23c97e1cb9880a_kernel.cu
  • flashinfer/experimental/cake_kda_det_train/csrc/cake_kda_det_train_ad4c93dbb0435933c8a1_binding.cu
  • flashinfer/experimental/cake_kda_det_train/csrc/cake_kda_det_train_ad4c93dbb0435933c8a1_kernel.cu
  • flashinfer/experimental/cake_kda_det_train/csrc/cake_kda_det_train_b16a0c1729083004fe80_kernel.cu
  • flashinfer/experimental/cake_kda_det_train/csrc/cake_kda_det_train_c27b09eb5f5881be2969_kernel.cu
  • flashinfer/experimental/cake_kda_det_train/csrc/cake_kda_det_train_ea14e16d1fc71364ba03_kernel.cu
Files not fully reviewed because their changes were unavailable: 18

  • flashinfer/experimental/cake/cake_kda_train/csrc/cake_kda_train_aa6b5c23c97e1cb9880a_kernel.cu
  • flashinfer/experimental/cake/cake_kda_train/csrc/cake_kda_train_54786ffd01bd9b6bb416_kernel.cu
  • flashinfer/experimental/cake/cake_kda_train/csrc/cake_kda_train_31fa936f5468b5749a33_kernel.cu
  • flashinfer/experimental/cake/cake_kda_train/csrc/cake_kda_train_87b73f813c841159bf43_kernel.cu
  • flashinfer/experimental/cake/cake_kda_train/csrc/cake_kda_train_c27b09eb5f5881be2969_kernel.cu
  • flashinfer/experimental/cake/cake_kda_train/csrc/cake_kda_train_d5fd3f7234a4266e09d2_kernel.cu
  • flashinfer/experimental/cake/cake_kda_train/csrc/cake_kda_train_8ce96eeb5b7517229400_kernel.cu
  • flashinfer/experimental/cake_kda_det_train/csrc/cake_kda_det_train_54786ffd01bd9b6bb416_kernel.cu
  • flashinfer/experimental/cake_kda_det_train/csrc/cake_kda_det_train_37ed4f705c286adadd40_kernel.cu
  • flashinfer/experimental/cake/cake_kda_train/csrc/cake_kda_train_f4ea302627f05d805437_kernel.cu
  • flashinfer/experimental/cake/cake_kda_train/csrc/cake_kda_train_ea14e16d1fc71364ba03_kernel.cu
  • flashinfer/experimental/cake_kda_det_train/csrc/cake_kda_det_train_6308ef19a5bf0691fcfe_kernel.cu
  • flashinfer/experimental/cake_kda_det_train/csrc/cake_kda_det_train_aa6b5c23c97e1cb9880a_kernel.cu
  • flashinfer/experimental/cake_kda_det_train/csrc/cake_kda_det_train_c27b09eb5f5881be2969_kernel.cu
  • flashinfer/experimental/cake_kda_det_train/csrc/cake_kda_det_train_ea14e16d1fc71364ba03_kernel.cu
  • flashinfer/experimental/cake_kda_det_train/csrc/cake_kda_det_train_b16a0c1729083004fe80_kernel.cu
  • flashinfer/experimental/cake_kda_det_train/csrc/cake_kda_det_train_ad4c93dbb0435933c8a1_kernel.cu
  • flashinfer/experimental/cake_kda_det_train/csrc/cake_kda_det_train_a135a53a639f33f921ab_kernel.cu

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@yyihuang
yyihuang merged commit 071dd13 into flashinfer-ai:main Nov 6, 2026
42 of 52 checks passed
yyihuang pushed a commit to yyihuang/flashinfer that referenced this pull request Nov 6, 2026
… accuracy fix) into the in-kernel Q/K L2 norm branch

Conflict in flashinfer/experimental/cake/cake_kda_train/build.json,
resolved as the union of both sides: the 229 entries of main (generator,
the CUDA 12.9 floor on sm_100a and the re-copied digests of flashinfer-ai#8909) and
the 63 entries this branch adds (the in-kernel Q/K L2 norm copies and
param_finalize_l2n).  292 entries.  The next commit re-copies the
deterministic fused-l2n programs that the fix changes or renames.

benchmarks/bench_cake_kda_train_kcp.py and the context-parallel README
merge without conflict: they keep main's deterministic causal-conv1d
names (flashinfer-ai#8912) and this branch's edits.
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