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Updates to cain to new param_rms per element
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@ -18,6 +18,7 @@
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from typing import List, Optional, Union, Tuple, List
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from lhotse.utils import fix_random_seed
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import torch
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import random
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from torch import Tensor
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from torch.optim import Optimizer
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@ -74,11 +75,8 @@ class Cain(Optimizer):
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rms value goes below this, we stop learning slower for that parameter,
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i.e. we treat the rms as if it were rms_eps. In practice, rms values
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will not go much below this.
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rms_max (float, optional): maximum root-mean-square value for
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non-scalar parameters, such that we don't let the parameter
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values exceed this; we'll shrink any parameter matrices that becomes
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larger than this.
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param_max (float, optional): maximum absolute value for any parameter;
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we will clamp parameters to satisfy -param_max <= param <= param_max
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@ -99,7 +97,7 @@ class Cain(Optimizer):
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eps=1e-8,
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scale_speed=0.05,
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rms_eps=1.0e-05,
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rms_max=10.0,
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param_max=100.0,
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):
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if not 0.0 <= lr:
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@ -116,8 +114,8 @@ class Cain(Optimizer):
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)
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if not 0 < scale_speed < 1.0:
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raise ValueError("Invalid scale_speed value: {}".format(scale_speed))
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if not 0.1 < rms_max <= 1000.0:
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raise ValueError("Invalid rms_max value: {}".format(rms_max))
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if not 0.1 < param_max <= 10000.0:
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raise ValueError("Invalid param_max value: {}".format(param_max))
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if not 0.0 < rms_eps < 0.1:
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raise ValueError("Invalid rms_eps value: {}".format(rms_eps))
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@ -127,7 +125,7 @@ class Cain(Optimizer):
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eps=eps,
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scale_speed=0.05,
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rms_eps=rms_eps,
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rms_max=rms_max,
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param_max=param_max,
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)
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super(Cain, self).__init__(params, defaults)
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@ -153,7 +151,7 @@ class Cain(Optimizer):
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scale_speed = group["scale_speed"]
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rms_eps = group["rms_eps"]
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eps = group["eps"]
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rms_max = group["rms_max"]
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param_max = group["param_max"]
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for p in group["params"]:
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if p.grad is None:
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@ -163,7 +161,7 @@ class Cain(Optimizer):
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grad = p.grad
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if grad.is_sparse:
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raise RuntimeError(
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"AdamW does not support sparse gradients"
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"Cain does not support sparse gradients"
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)
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state = self.state[p]
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@ -182,9 +180,11 @@ class Cain(Optimizer):
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if p.numel() > 1:
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# we keep track of the RMS value of the parameters to
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# help set the learning rate... this emulates Eve.
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state["param_rms"] = (p**2).mean().sqrt()
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# we learn the scale on the parameters in a way
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# that also emulates Eve.
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state["param_rms"] = torch.ones_like(p)
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# we learn the scale on the parameters in a way that
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# also emulates Eve. scale_exp_avg_sq is the
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# moving-average square of the gradient w.r.t. this
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# scalar scale.
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state["scale_exp_avg_sq"] = torch.zeros((), device=p.device,
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dtype=p.dtype)
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@ -196,9 +196,6 @@ class Cain(Optimizer):
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if p.numel() > 1:
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if step % 10 == 0:
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state["param_rms"].fill_((p**2).mean().sqrt())
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if True:
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# This block learns the scale on the parameters.
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# scale_deriv is the derivative w.r.t. a log-space scale
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@ -224,20 +221,8 @@ class Cain(Optimizer):
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# delta is the change in `scale`.
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scale_delta = scale_alpha * (scale_deriv / scale_denom)
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# the following is equivalent to:
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# if torch.all(state["param_rms"] > rms_max):
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# delta = -1.0e-03
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# which means: if the parameter root-mean-square value goes above the
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# specified limit, start to decay the parameters (and ignore the computed
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# delta).
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scale_delta = torch.where(state["param_rms"] > rms_max,
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torch.tensor(-1.0e-03 * (1-beta1),
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device=scale_delta.device,
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dtype=scale_delta.dtype),
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scale_delta)
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delta.add_(p, alpha=scale_delta)
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# Decay the second moment running average coefficient
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exp_avg_sq.mul_(beta2).addcmul_(grad, grad, value=1 - beta2)
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@ -247,9 +232,13 @@ class Cain(Optimizer):
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this_delta = grad / grad_rms
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param_rms = state["param_rms"]
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self._update_param_rms(p, param_rms, step, rms_eps)
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this_lr = state["param_rms"].clamp(min=rms_eps) * lr * bias_correction2
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alpha = -(1-beta1) * this_lr
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alpha = (-(1-beta1) * lr * bias_correction2)
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delta.add_(this_delta * param_rms, alpha=alpha)
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# below, will do: delta.add_(this_delta, alpha=alpha)
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else:
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@ -261,13 +250,84 @@ class Cain(Optimizer):
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denom = (exp_avg_sq.sqrt()).add_(eps)
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this_delta = grad / denom
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alpha = -lr*(1-beta1)*(bias_correction2 ** 0.5)
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delta.add_(this_delta, alpha=alpha)
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delta.add_(this_delta, alpha=alpha)
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p.add_(delta)
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if step % 10 == 0:
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p.clamp_(min=-param_max, max=param_max)
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state["step"] += 1
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return loss
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def _update_param_rms(self, p: Tensor, param_rms: Tensor,
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step: int, rms_eps: float):
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"""
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Updates `param_rms`. Require p.numel() > 1
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Args:
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p: parameter whose magnitude/rms we are measuring
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param_rms: a Tensor containing non-negative values, with the same
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shape as p. Contains an estimate of the root-mean-square
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value of the parameter. This has a special structure where
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it must be a product of one-dimensional quantities,
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one for each axis of p.
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We exclude certain axes to avoid estimating the rms value
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from a too-small number of parameters.
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step: the step of the algorithm
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rms_eps: epsilon such that we'll aim to prevent param_rms from
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going much lower than this.
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"""
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if step % 1000 == 0:
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# Periodically refresh param_rms to keep the invariance that it is a
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# product over its axes (numerical roundoff might destroy this)
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param_rms.fill_(1.0)
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for dim in range(p.ndim):
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self._update_param_rms_for_dim(p, param_rms, dim, rms_eps)
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else:
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dim = step % p.ndim
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self._update_param_rms_for_dim(p, param_rms, dim, rms_eps)
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def _update_param_rms_for_dim(self, p: Tensor,
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param_rms: Tensor,
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dim: int,
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rms_eps: float):
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"""
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Updates `param_rms` on one of its axes/dimensions.
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Args:
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p: parameter whose magnitude/rms we are measuring
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param_rms: a Tensor containing non-negative values, with the same
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shape as p. Contains an estimate of the root-mean-square
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value of the parameter. This has a special structure where
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it must be a product of one-dimensional quantities,
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one for each axis of p.
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We exclude certain axes to avoid estimating the rms value
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from a too-small number of parameters.
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dim: with 0 <= dim < p.ndim, the
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dimension/axis on which to update the scale factor
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rms_eps: epsilon such that we'll aim to prevent param_rms from
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going much lower than this.
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"""
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# var_factor is the square of the factor to change param_rms by. p will
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# not be super large, we limit it to -param_max <= p <= param_max.
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# Clamping p**2 to min=1.0e-10 should prevent param_rms from getting much
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# smaller than 1.0e-05, which should prevent division by zero here.
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var_factor = (p ** 2).clamp(min=rms_eps*rms_eps) / (param_rms ** 2)
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if p.numel() <= 2 * p.shape[dim]:
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var_factor = var_factor.mean()
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else:
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dims = tuple(d for d in range(p.ndim) if d != dim)
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var_factor = var_factor.mean(dim=dims, keepdim=True)
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#if random.random() < 0.01:
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# print(f"shape={p.shape}, var_factor={var_factor}")
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param_rms.mul_(var_factor.sqrt())
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class LRScheduler(object):
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@ -556,7 +616,7 @@ def _test_eden():
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m = torch.nn.Linear(100, 100)
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optim = Cain(m.parameters(), lr=0.003)
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scheduler = Eden(optim, lr_batches=30, lr_epochs=2, verbose=True)
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scheduler = Eden(optim, lr_batches=100, lr_epochs=2, verbose=True)
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for epoch in range(10):
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scheduler.step_epoch(epoch) # sets epoch to `epoch`
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