Find all possible batch sizes I could use for STT if I have this amount of samples.

compute_batch_sizes.py

#!/usr/bin/env python
"""
Compute batch sizes by samples.
Find all possible batch sizes I could use for STT if I have this amount of samples.

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"""

def list_batch_sizes(n_samples: int):
	
	batch_size_list = [1, n_samples] if n_samples > 1 else [1,] if n_samples == 1 else []
	
	for r in range(2, int(s/2)):
		d = float( s / r )
		if d.is_integer():
			if r not in batch_size_list:
				batch_size_list.append(r)
			if int(d) not in batch_size_list:
				batch_size_list.append(int(d))

number_of_samples = input("How much samples to batch?: ")

try:
    s = int(number_of_samples)
except ValueError as e:
    print("ERROR: Number of samples must be integer.")
    raise e

print(f"Finding all possible batch sizes for {str(s)} samples.")
print("Possible batch sizes are:")
print(list_batch_sizes(s))

❯ ./compute_batch_sizes.py
How much samples to batch?: 428864
Finding all possible batch sizes for training with 428864 samples.
Possible batch sizes are:
[1, 2, 4, 8, 16, 32, 64, 6701, 13402, 26804, 53608, 107216, 214432, 428864]

took less than 1s

To use it type:

git clone https://gist.github.com/99518a1b43c1cf3be29c9838eec9b763.git ./batch_utils && \
chmod +x ./batch_utils/compute_batch_sizes.py && \
python ./batch_utils/compute_batch_sizes.py

Lowest is best for accuracy, larger is faster. 64 is almost always the right choice but the more samples you have, the smaller the batch can be.

This implementation scales poorly with ridiculously high samples.

How much samples to batch?: 1120566416
Finding all possible batch sizes for 1120566416 samples.
Possible batch sizes are:
[1, 2, 4, 8, 16, 2659, 5318, 10636, 21272, 26339, 42544, 52678, 105356, 210712, 421424, 70035401, 140070802, 280141604, 560283208, 1120566416]

took 3m 47s

I think we can use complex numbers to call a generating function somewhere but I'm not there yet.

This implementation scales poorly with ridiculously high samples.

How much samples to batch?: 1120566416
Finding all possible batch sizes for 1120566416 samples.
Possible batch sizes are:
[1, 2, 4, 8, 16, 2659, 5318, 10636, 21272, 26339, 42544, 52678, 105356, 210712, 421424, 70035401, 140070802, 280141604, 560283208, 1120566416]

took 3m 47s

Well I made it twice as fast with some clever tricks but it's still slow.

❯ ./compute_batch_sizes.py
How much samples to batch?: 1120566416
Finding all possible batch sizes for 1120566416 samples.
Possible batch sizes are:
[1, 2, 4, 8, 16, 2659, 5318, 10636, 21272, 26339, 42544, 52678, 105356, 210712, 421424, 70035401, 140070802, 280141604, 560283208, 1120566416]

took 1m 54s