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Make cain average over more iters and use preconditioning on the other dims first
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@ -598,19 +598,21 @@ class Cain(Optimizer):
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"""
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ndim = grad.ndim
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numel = grad.numel()
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for dim in range(grad.ndim):
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step = state["step"]
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for i in range(grad.ndim):
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dim = (i + step) % grad.ndim
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# see for each dim in turn whether we want to perform any changes in co-ordinates,
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# or store any stats.
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size = grad.shape[dim]
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if size <= 3 or size > 1024 or size == numel:
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if size <= 3 or size % 2 == 1 or size >= 2048 or size == numel:
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# we don't do any such co-ordinate changes in dims that are too small (no point)
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# or large (too slow)
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# or large (too slow), or convolutional (odd). can revisit this later.
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continue
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if dim == 0:
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# FOR NOW: don't do such co-ordinate changes on output
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# dims, which will generally be dimension zero. We can revisit this later.
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continue
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grad = self._change_coordinates_for_dim(grad, state, dim, forward)
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allow_store_stats = (i == grad.ndim - 1)
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grad = self._change_coordinates_for_dim(grad, state, dim, forward,
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allow_store_stats)
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return grad
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@ -619,6 +621,7 @@ class Cain(Optimizer):
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state: dict,
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dim: int,
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forward: bool,
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allow_store_stats: bool,
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orig_dim: int = -1):
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assert grad.ndim > 1
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if not (grad.ndim == 2 and dim == 1):
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@ -640,7 +643,7 @@ class Cain(Optimizer):
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new_shape = new_grad.shape
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new_grad = new_grad.reshape(-1, new_grad.shape[-1])
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new_grad = self._change_coordinates_for_dim(new_grad, state, 1, forward,
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orig_dim=dim)
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allow_store_stats, orig_dim=dim)
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return new_grad.reshape(new_shape).permute(*rev_dims_order)
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# OK: grad.ndim == 2 and dim == 1
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@ -649,8 +652,8 @@ class Cain(Optimizer):
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orig_dim = dim
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step = state["step"]
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must_store_stats, must_zero_stats = self._must_store_stats(step)
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if must_store_stats:
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# store stats for 20 iters preceding when we estimate the
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if must_store_stats and allow_store_stats:
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# store stats for 100 iters preceding when we estimate the
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# transform.
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stats_name = f"cov_{orig_dim}"
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if not stats_name in state:
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@ -695,11 +698,11 @@ class Cain(Optimizer):
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"""
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if step < 4000:
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if step < 2000:
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return (step % 500 >= 480, step % 500 == 480)
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return (step % 500 >= 400, step % 500 == 400)
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else:
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return (step % 1000 >= 980, step % 1000 == 980)
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return (step % 1000 >= 800, step % 1000 == 800)
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else:
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return (step % 2000 >= 1980, step % 2000 == 1980)
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return (step % 2000 >= 1800, step % 2000 == 1800)
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def _must_estimate_transform(self, step: int) -> bool:
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"""
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