[Contrib][Sort] Faster Top-K Implementation#13599
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tkonolige merged 5 commits intoapache:mainfrom Jan 4, 2023
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Numbers look excellent! We could probably simplify the implementation to use std::partial_sort (https://en.cppreference.com/w/cpp/algorithm/partial_sort), but that can wait for a future PR.
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This is a simple rewrite of hand-coded top-k function used for CPU targets. The old implementation sorted each axis and then took the biggest k elements. The new implementation does a single pass of each axis, keeping a min heap to store the top-k elements up to that point. If n is the size of the array, and we want to find top k, the old implementation has runtime in O(nlogn) with additional memory O(n) to store the sorted array. The new implementation is O(n log k), and in practice is probably amortized to O(n / k * log k) in many scenarios and only requires O(k). Note n >> k most of the time. In practice this new kernel led to a 20x speedup over existing one. On a Xeon Platinum 8370C CPU @ 2.80GHz for input shape [1, 3050] with k = 15, the latency went from 200us --> ~10us. There is probably more room for shaving off a little more time on the scale of a single us's, however I have determined it to not be worth it.
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Summary:
This is a simple rewrite of hand-coded top-k function used for CPU targets.
The old implementation sorted each axis and then took the biggest k elements.
The new implementation does a single pass of each axis, keeping a min heap to store the top-k elements up to that point.
If n is the size of the array, and we want to find top k, the old implementation has runtime in O(nlogn) with additional memory O(n) to store the sorted array. The new implementation is O(n log k), and in practice is probably amortized to O(n / k * log k) in many scenarios and only requires O(k). Note n >> k most of the time.
In practice this new kernel led to a 20x speedup over existing one. On a Xeon Platinum 8370C CPU @ 2.80GHz for input shape [1, 3050] with k = 15, the latency went from 200us --> ~10us. There is probably more room for shaving off a little more time on the scale of a single us's, however I have determined it to not be worth it.
This change however is probably in the range of worth committing.
I've launched benchmarks on my m1 mac, and a Xeon Platinum 8370C CPU @ 2.80GHz with 8 cores.
Data:
All data is collected along axis=1.
M1:
Xeon:
As can be seen, except in one pathological case (k ~ axis_size), we see significant speedups across almost all conditions. For M1, this case also has speedups surprisingly.
Other Changes: