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Fix notation and clarification of Puzzle 9 #16

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Fix notation and clarification of Puzzle 9 #16

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6 changes: 2 additions & 4 deletions Triton-Puzzles.ipynb
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Original file line number Diff line number Diff line change
Expand Up @@ -736,11 +736,9 @@
"\n",
"A scalar version of FlashAttention.\n",
"\n",
"Uses zero programs. Block size `B0` represents `k` of length `N0`.\n",
"Block size `B0` represents `q` of length `N0`. Block size `B0` represents `v` of length `N0`.\n",
"Sequence length is `T`. Process it `B1 < T` elements at a time. \n",
"Uses **zero** programs. Block size `B0` represents `k`, `q`, and `v`, all of length `N0`. Sequence length is `T`. Process it `B1 < T` elements at a time for some `B1`. \n",
"\n",
"$$z_{i} = \\sum_{j} \\text{softmax}(q_1 k_1, \\ldots, q_T k_T)_j v_{j} \\text{ for } i = 1\\ldots N_0$$\n",
"$$z_{i} = \\sum_{j=1}^{N_0} \\text{softmax}(q_1 k_j, \\ldots, q_T k_j) v_{j} \\text{ for } i = 1\\ldots N_0$$\n",
"\n",
"This can be done in 1 loop using a similar trick from the last puzzle."
]
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