pytabkit.models.training package
Submodules
pytabkit.models.training.auc_mu module
Computation of the measure ‘AUC Mu’. This measure requires installation of the numpy and sklearn libraries.
This code corresponds to the paper: Kleiman, R., Page, D. AUC Mu: A
Performance Metric for Multi-Class Machine Learning Models, Proceedings of the
2019 International Conference on Machine Learning (ICML).
- pytabkit.models.training.auc_mu.auc_mu_impl(y_true, y_score, A=None, W=None)
Compute the multi-class measure AUC Mu from prediction scores and labels.
Parameters
- y_truearray, shape = [n_samples]
The true class labels in the range [0, n_samples-1]
- y_scorearray, shape = [n_samples, n_classes]
Target scores, where each row is a categorical distribution over the n_classes.
- Aarray, shape = [n_classes, n_classes], optional
The partition (or misclassification cost) matrix. If
NoneA is the argmax partition matrix. Entry A_{i,j} is the cost of classifying an instance as class i when the true class is j. It is expected that diagonal entries in A are zero and off-diagonal entries are positive.- Warray, shape = [n_classes, n_classes], optional
The weight matrix for incorporating class skew into AUC Mu. If
None, the standard AUC Mu is calculated. If W is specified, it is expected to be a lower triangular matrix where entrix W_{i,j} is a positive float from 0 to 1 for the partial score between classes i and j. Entries not in the lower triangular portion of W must be 0 and the sum of all entries in W must be 1.
Returns
auc_mu : float
References
pytabkit.models.training.coord module
- class pytabkit.models.training.coord.HyperparamManager
Bases:
object- class HyperGetter
Bases:
object- __init__(tc, hyper_name, base_value_pattern, sched_pattern)
- Parameters:
tc (HyperparamManager)
hyper_name (str)
base_value_pattern (str)
sched_pattern (str)
- __init__(**config)
- add_reg_term(loss)
- get_hyper_sched_values()
- get_more_info_dict()
- Return type:
Dict
- register_hyper(name, scope, default=None, default_sched=<function HyperparamManager.<lambda>>)
- Parameters:
name (str)
- update_hyper_sched_values()
- update_hypers(learner)
pytabkit.models.training.lightning_callbacks module
- class pytabkit.models.training.lightning_callbacks.HyperparamCallback
Bases:
Callback- __init__(hp_manager)
- on_before_backward(trainer, pl_module, loss)
Called before
loss.backward().- Parameters:
trainer (Trainer)
pl_module (LightningModule)
loss (Tensor)
- Return type:
None
- on_fit_end(trainer, pl_module)
Called when fit ends.
- Parameters:
trainer (Trainer)
pl_module (LightningModule)
- Return type:
None
- on_train_batch_start(trainer, pl_module, batch, batch_idx)
Called when the train batch begins.
- Parameters:
trainer (Trainer)
pl_module (LightningModule)
batch (Any)
batch_idx (int)
- Return type:
None
- class pytabkit.models.training.lightning_callbacks.L1L2RegCallback
Bases:
Callback- __init__(hp_manager, model)
- Parameters:
hp_manager (HyperparamManager)
model (Layer)
- on_after_backward(trainer, pl_module)
Called after
loss.backward()and before optimizers are stepped.- Parameters:
trainer (Trainer)
pl_module (LightningModule)
- Return type:
None
- class pytabkit.models.training.lightning_callbacks.ModelCheckpointCallback
Bases:
Callback- __init__(n_tt_splits, n_tv_splits, n_ens, use_best_mean_epoch, val_metric_name, restore_best=False)
- Parameters:
n_tt_splits (int)
n_tv_splits (int)
n_ens (int)
use_best_mean_epoch (bool)
val_metric_name (str)
restore_best (bool)
- on_fit_end(trainer, pl_module)
Called when fit ends.
- Parameters:
trainer (Trainer)
pl_module (LightningModule)
- Return type:
None
- on_fit_start(trainer, pl_module)
Called when fit begins.
- Parameters:
trainer (Trainer)
pl_module (LightningModule)
- Return type:
None
- on_validation_end(trainer, pl_module)
Called when the validation loop ends.
- Parameters:
trainer (Trainer)
pl_module (LightningModule)
- Return type:
None
- restore(pl_module)
- Parameters:
pl_module (LightningModule)
- Return type:
None
- class pytabkit.models.training.lightning_callbacks.ParamCheckpointer
Bases:
object- __init__(n_tv_splits, n_tt_splits, n_ens)
- Parameters:
n_tv_splits (int)
n_tt_splits (int)
n_ens (int)
- class pytabkit.models.training.lightning_callbacks.StopAtEpochsCallback
Bases:
Callback- __init__(stop_epochs, n_models, n_ens, model, logger=None)
- on_fit_start(trainer, pl_module)
Called when fit begins.
- Parameters:
trainer (Trainer)
pl_module (LightningModule)
- Return type:
None
- on_train_epoch_end(trainer, pl_module)
Called when the train epoch ends.
To access all batch outputs at the end of the epoch, you can cache step outputs as an attribute of the
pytorch_lightning.core.LightningModuleand access them in this hook:class MyLightningModule(L.LightningModule): def __init__(self): super().__init__() self.training_step_outputs = [] def training_step(self): loss = ... self.training_step_outputs.append(loss) return loss class MyCallback(L.Callback): def on_train_epoch_end(self, trainer, pl_module): # do something with all training_step outputs, for example: epoch_mean = torch.stack(pl_module.training_step_outputs).mean() pl_module.log("training_epoch_mean", epoch_mean) # free up the memory pl_module.training_step_outputs.clear()
- Parameters:
trainer (Trainer)
pl_module (LightningModule)
- Return type:
None
pytabkit.models.training.lightning_modules module
- class pytabkit.models.training.lightning_modules.TabNNModule
Bases:
LightningModule- __init__(n_epochs=256, logger=None, fit_params=None, **config)
Pytorch Lightning Module for building and training a pytorch NN for tabular data. The core of the module is the NNCreatorInterface, which is used to create the model, the callbacks, the hyperparameter manager and the dataloaders. The TabNNModule is responsible for the training loop, (optional) validation and inference.
- Parameters:
n_epochs (int)
logger (Logger | None)
fit_params (List[Dict[str, Any]] | None)
- compile_model(ds, idxs_list, interface_resources)
Method to create the model and all other training dependencies given the dataset and the assigned resources. Once this is called, the module is ready for training.
- Parameters:
ds (DictDataset)
idxs_list (List[SplitIdxs])
interface_resources (InterfaceResources)
- configure_optimizers()
Choose what optimizers and learning-rate schedulers to use in your optimization. Normally you’d need one. But in the case of GANs or similar you might have multiple. Optimization with multiple optimizers only works in the manual optimization mode.
- Return:
Any of these 6 options.
Single optimizer.
List or Tuple of optimizers.
Two lists - The first list has multiple optimizers, and the second has multiple LR schedulers (or multiple
lr_scheduler_config).Dictionary, with an
"optimizer"key, and (optionally) a"lr_scheduler"key whose value is a single LR scheduler orlr_scheduler_config.None - Fit will run without any optimizer.
The
lr_scheduler_configis a dictionary which contains the scheduler and its associated configuration. The default configuration is shown below.lr_scheduler_config = { # REQUIRED: The scheduler instance "scheduler": lr_scheduler, # The unit of the scheduler's step size, could also be 'step'. # 'epoch' updates the scheduler on epoch end whereas 'step' # updates it after a optimizer update. "interval": "epoch", # How many epochs/steps should pass between calls to # `scheduler.step()`. 1 corresponds to updating the learning # rate after every epoch/step. "frequency": 1, # Metric to monitor for schedulers like `ReduceLROnPlateau` "monitor": "val_loss", # If set to `True`, will enforce that the value specified 'monitor' # is available when the scheduler is updated, thus stopping # training if not found. If set to `False`, it will only produce a warning "strict": True, # If using the `LearningRateMonitor` callback to monitor the # learning rate progress, this keyword can be used to specify # a custom logged name "name": None, }
When there are schedulers in which the
.step()method is conditioned on a value, such as thetorch.optim.lr_scheduler.ReduceLROnPlateauscheduler, Lightning requires that thelr_scheduler_configcontains the keyword"monitor"set to the metric name that the scheduler should be conditioned on.Metrics can be made available to monitor by simply logging it using
self.log('metric_to_track', metric_val)in yourLightningModule.- Note:
Some things to know:
Lightning calls
.backward()and.step()automatically in case of automatic optimization.If a learning rate scheduler is specified in
configure_optimizers()with key"interval"(default “epoch”) in the scheduler configuration, Lightning will call the scheduler’s.step()method automatically in case of automatic optimization.If you use 16-bit precision (
precision=16), Lightning will automatically handle the optimizer.If you use
torch.optim.LBFGS, Lightning handles the closure function automatically for you.If you use multiple optimizers, you will have to switch to ‘manual optimization’ mode and step them yourself.
If you need to control how often the optimizer steps, override the
optimizer_step()hook.
- create_callbacks()
Helper method to return callbacks for the trainer.fit callback argument.
- get_predict_dataloader(ds)
Helper method to create a dataloader for inference.
- Parameters:
ds (DictDataset)
- on_fit_end()
Called at the very end of fit.
If on DDP it is called on every process
- on_fit_start()
Called at the very beginning of fit.
If on DDP it is called on every process
- on_predict_model_eval()
Called when the predict loop starts.
The predict loop by default calls
.eval()on the LightningModule before it starts. Override this hook to change the behavior.- Return type:
None
- on_test_model_eval()
Called when the test loop starts.
The test loop by default calls
.eval()on the LightningModule before it starts. Override this hook to change the behavior. See alsoon_test_model_train().- Return type:
None
- on_test_model_train()
Called when the test loop ends.
The test loop by default restores the training mode of the LightningModule to what it was before starting testing. Override this hook to change the behavior. See also
on_test_model_eval().- Return type:
None
- on_validation_epoch_end()
Called in the validation loop at the very end of the epoch.
- on_validation_model_eval()
Called when the validation loop starts.
The validation loop by default calls
.eval()on the LightningModule before it starts. Override this hook to change the behavior. See alsoon_validation_model_train().- Return type:
None
- on_validation_model_train()
Called when the validation loop ends.
The validation loop by default restores the training mode of the LightningModule to what it was before starting validation. Override this hook to change the behavior. See also
on_validation_model_eval().- Return type:
None
- on_validation_start()
Called at the beginning of validation.
- predict_step(batch, batch_idx, dataloader_idx=0)
Step function called during
predict(). By default, it callsforward(). Override to add any processing logic.The
predict_step()is used to scale inference on multi-devices.To prevent an OOM error, it is possible to use
BasePredictionWritercallback to write the predictions to disk or database after each batch or on epoch end.The
BasePredictionWritershould be used while using a spawn based accelerator. This happens forTrainer(strategy="ddp_spawn")or training on 8 TPU cores withTrainer(accelerator="tpu", devices=8)as predictions won’t be returned.- Args:
batch: The output of your data iterable, normally a
DataLoader. batch_idx: The index of this batch. dataloader_idx: The index of the dataloader that produced this batch.(only if multiple dataloaders used)
- Return:
Predicted output (optional).
Example
class MyModel(LightningModule): def predict_step(self, batch, batch_idx, dataloader_idx=0): return self(batch) dm = ... model = MyModel() trainer = Trainer(accelerator="gpu", devices=2) predictions = trainer.predict(model, dm)
- Parameters:
batch (Any)
batch_idx (int)
dataloader_idx (int)
- Return type:
Any
- restore_ckpt_for_val_metric_name(val_metric_name)
- Parameters:
val_metric_name (str)
- to(*args, **kwargs)
See
torch.nn.Module.to().- Parameters:
args (Any)
kwargs (Any)
- Return type:
- training_step(batch, batch_idx)
Here you compute and return the training loss and some additional metrics for e.g. the progress bar or logger.
- Args:
batch: The output of your data iterable, normally a
DataLoader. batch_idx: The index of this batch. dataloader_idx: The index of the dataloader that produced this batch.(only if multiple dataloaders used)
- Return:
Tensor- The loss tensordict- A dictionary which can include any keys, but must include the key'loss'in the case of automatic optimization.None- In automatic optimization, this will skip to the next batch (but is not supported for multi-GPU, TPU, or DeepSpeed). For manual optimization, this has no special meaning, as returning the loss is not required.
In this step you’d normally do the forward pass and calculate the loss for a batch. You can also do fancier things like multiple forward passes or something model specific.
Example:
def training_step(self, batch, batch_idx): x, y, z = batch out = self.encoder(x) loss = self.loss(out, x) return loss
To use multiple optimizers, you can switch to ‘manual optimization’ and control their stepping:
def __init__(self): super().__init__() self.automatic_optimization = False # Multiple optimizers (e.g.: GANs) def training_step(self, batch, batch_idx): opt1, opt2 = self.optimizers() # do training_step with encoder ... opt1.step() # do training_step with decoder ... opt2.step()
- Note:
When
accumulate_grad_batches> 1, the loss returned here will be automatically normalized byaccumulate_grad_batchesinternally.
- validation_step(batch, batch_idx)
Operates on a single batch of data from the validation set. In this step you’d might generate examples or calculate anything of interest like accuracy.
- Args:
batch: The output of your data iterable, normally a
DataLoader. batch_idx: The index of this batch. dataloader_idx: The index of the dataloader that produced this batch.(only if multiple dataloaders used)
- Return:
Tensor- The loss tensordict- A dictionary. Can include any keys, but must include the key'loss'.None- Skip to the next batch.
# if you have one val dataloader: def validation_step(self, batch, batch_idx): ... # if you have multiple val dataloaders: def validation_step(self, batch, batch_idx, dataloader_idx=0): ...
Examples:
# CASE 1: A single validation dataset def validation_step(self, batch, batch_idx): x, y = batch # implement your own out = self(x) loss = self.loss(out, y) # log 6 example images # or generated text... or whatever sample_imgs = x[:6] grid = torchvision.utils.make_grid(sample_imgs) self.logger.experiment.add_image('example_images', grid, 0) # calculate acc labels_hat = torch.argmax(out, dim=1) val_acc = torch.sum(y == labels_hat).item() / (len(y) * 1.0) # log the outputs! self.log_dict({'val_loss': loss, 'val_acc': val_acc})
If you pass in multiple val dataloaders,
validation_step()will have an additional argument. We recommend setting the default value of 0 so that you can quickly switch between single and multiple dataloaders.# CASE 2: multiple validation dataloaders def validation_step(self, batch, batch_idx, dataloader_idx=0): # dataloader_idx tells you which dataset this is. x, y = batch # implement your own out = self(x) if dataloader_idx == 0: loss = self.loss0(out, y) else: loss = self.loss1(out, y) # calculate acc labels_hat = torch.argmax(out, dim=1) acc = torch.sum(y == labels_hat).item() / (len(y) * 1.0) # log the outputs separately for each dataloader self.log_dict({f"val_loss_{dataloader_idx}": loss, f"val_acc_{dataloader_idx}": acc})
- Note:
If you don’t need to validate you don’t need to implement this method.
- Note:
When the
validation_step()is called, the model has been put in eval mode and PyTorch gradients have been disabled. At the end of validation, the model goes back to training mode and gradients are enabled.
- pytabkit.models.training.lightning_modules.postprocess_multiquantile(y_pred, val_metric_name=None, sort_quantile_predictions=True, **config)
- Parameters:
y_pred (Tensor)
val_metric_name (str | None)
sort_quantile_predictions (bool)
pytabkit.models.training.logging module
pytabkit.models.training.metrics module
- class pytabkit.models.training.metrics.Metrics
Bases:
object- __init__(metric_names, val_metric_name, task_type)
- static apply(y_pred, y, metric_name)
- Parameters:
y_pred (Tensor)
y (Tensor)
metric_name (str)
- Return type:
Tensor
- static apply_sklearn_classification_metric(y_pred, y, metric_function, needs_pred_probs, two_class_single_column=True)
- Parameters:
y_pred (Tensor)
y (Tensor)
metric_function (Callable)
needs_pred_probs (bool)
two_class_single_column (bool)
- static avg_preds(y_preds, task_type)
- Parameters:
y_preds (List[Tensor])
- compute_metrics_dict(y_preds, y, use_ens)
- Parameters:
y_preds (List[Tensor]) – y predictions by (possibly multiple) ensemble members
y (Tensor) – actual labels (one-hot encoded in case of classification)
use_ens (bool) – Whether to also compute metrics for ensembled predictions
- Returns:
Returns a NestedDict indexed by [str(n_models), str(start_idx), metric_name]
- Return type:
containing the respective metric values (float) for an ensemble using y_preds[start_idx:start_idx+n_models] In the ensembling case, n_models > 1 is also used, but only with start_idx = 0
- compute_val_score(val_metrics_dict)
- Parameters:
val_metrics_dict (NestedDict)
- Return type:
float
- static default_eval_metric_name(task_type)
- static default_val_metric_name(task_type)
- pytabkit.models.training.metrics.apply_reduction(res, reduction)
- pytabkit.models.training.metrics.auc_ovr_torchmetrics(y_pred, y)
- Parameters:
y_pred (Tensor)
y (Tensor)
- pytabkit.models.training.metrics.brier_loss(y_pred, y, reduction='mean')
- Parameters:
y_pred (Tensor)
y (Tensor)
- pytabkit.models.training.metrics.cos_loss(y_pred, y, reduction='mean')
- pytabkit.models.training.metrics.cross_entropy(y_pred, y, reduction='mean')
- Parameters:
y_pred (Tensor)
y (Tensor)
- pytabkit.models.training.metrics.expected_calibration_error(y_pred, y)
- Parameters:
y_pred (Tensor)
y (Tensor)
- pytabkit.models.training.metrics.get_y_probs(y, n_classes)
Returns the empirical probabilities of all classes in y. :param y: Tensor of shape […, n_batch, 1] and dtype torch.long or another integer dtype, containing class labels in {0, 1, …, n_classes-1} :param n_classes: Total number of classes :return: returns a tensor of shape […, n_classes]
- Parameters:
y (Tensor)
n_classes (int)
- Return type:
Tensor
- pytabkit.models.training.metrics.insert_missing_class_columns(y_pred, train_ds)
If train_ds.tensors[‘y’] does not contain some of the classes specified in train_ds.tensor_infos[‘y’] and if y_pred does not contain columns for these missing classes, add columns for the missing classes to y_pred, with small probabilities. :param y_pred: Tensor of logits, shape [n_batch, n_classes] :param train_ds: Dataset used for training the model that produced y_pred. :return: Returns y_pred with possibly some columns inserted.
- Parameters:
y_pred (Tensor)
train_ds (DictDataset)
- Return type:
Tensor
- pytabkit.models.training.metrics.mean_interleave(input, repeats, dim)
- pytabkit.models.training.metrics.mse(y_pred, y, reduction='mean')
- pytabkit.models.training.metrics.multi_pinball_loss(y_pred, y, quantiles, reduction='mean')
- Parameters:
y_pred (Tensor)
y (Tensor)
quantiles (List[float])
- pytabkit.models.training.metrics.pinball_loss(y_pred, y, quantile, reduction='mean')
- Parameters:
y_pred (Tensor)
y (Tensor)
quantile (float)
- pytabkit.models.training.metrics.remove_missing_classes(y_pred, y)
Removes missing classes from y_pred and y. For example, if y_pred.shape[-1] == 4 but y only contains the values 0 and 2, the columns y_pred[…, 1] and y_pred[…, 3] will be removed and the values (0, 2) will be mapped to (0, 1). :param y_pred: Predictions of shape (n_samples, n_classes) (should be logits because probabilities will not be normalized anymore after removing columns). :param y: classes of shape (n_samples,) :return: y_pred and y with missing classes removed
- Parameters:
y_pred (Tensor)
y (Tensor)
- Return type:
Tuple[Tensor, Tensor]
- pytabkit.models.training.metrics.softmax_kldiv(y_pred, y, reduction='mean')
- Parameters:
y_pred (Tensor)
y (Tensor)
- pytabkit.models.training.metrics.to_one_hot(y, num_classes, label_smoothing_eps=0.0)
pytabkit.models.training.nn_creator module
- class pytabkit.models.training.nn_creator.NNCreator
Bases:
object- __init__(fit_params=None, **config)
- Parameters:
fit_params (List[Dict[str, Any]] | None)
- create_callbacks(model, logger, val_metric_names)
- create_dataloaders(ds)
- Parameters:
ds (DictDataset)
- create_model(ds, idxs_list)
- Parameters:
ds (DictDataset)
idxs_list (List[SplitIdxs])
- get_criterions()
- Return type:
Tuple[Callable, List[str]]
- setup_from_dataset(ds, idxs_list, interface_resources)
- Parameters:
ds (DictDataset)
idxs_list (List[SplitIdxs])
interface_resources (InterfaceResources)
- pytabkit.models.training.nn_creator.get_realmlp_auto_batch_size(n_train)
- Parameters:
n_train (int)
pytabkit.models.training.scheduling module
- class pytabkit.models.training.scheduling.AltCoslogFunc
Bases:
object- __init__(n_cycles)
- Parameters:
n_cycles (int)
- class pytabkit.models.training.scheduling.ConstantSchedule
Bases:
TimeSchedule- __init__(val)
- call_time_(t)
- Parameters:
t (float)
- class pytabkit.models.training.scheduling.CoslogFunc
Bases:
object- __init__(n_cycles)
- Parameters:
n_cycles (int)
- class pytabkit.models.training.scheduling.EpochLengthSqMomSchedule
Bases:
Schedule- __init__(min_value=0.95, base_value=0.5)
- Parameters:
min_value (float)
base_value (float)
- get_value()
- update(learner)
- class pytabkit.models.training.scheduling.ExponentialSchedule
Bases:
TimeSchedule- __init__(start, end)
- call_time_(t)
- Parameters:
t (float)
- class pytabkit.models.training.scheduling.FirstToLastSchedule
Bases:
TimeSchedule- __init__(n_params)
- call_time_(t)
- Parameters:
t (float)
- class pytabkit.models.training.scheduling.FunctionSchedule
Bases:
TimeSchedule- __init__(f)
- call_time_(t)
- Parameters:
t (float)
- class pytabkit.models.training.scheduling.GenCoslogFunc
Bases:
object- __init__(n_cycles, base)
- Parameters:
n_cycles (int)
base (float)
- class pytabkit.models.training.scheduling.LearnerProgress
Bases:
object- __init__()
- get_fit_progress()
- class pytabkit.models.training.scheduling.ProductSchedule_
Bases:
Schedule- get_value()
- update(learner)
- class pytabkit.models.training.scheduling.ProductTimeSchedule_
Bases:
TimeSchedule- __init__(first, second)
- Parameters:
first (TimeSchedule)
second (TimeSchedule)
- call_time_(t)
- Parameters:
t (float)
- class pytabkit.models.training.scheduling.ScaledSchedule
Bases:
TimeSchedule- __init__(base_schedule, ymin=0.0, ymax=1.0, tmin=0.0, tmax=1.0)
- Parameters:
base_schedule (TimeSchedule)
- call_time_(t)
- Parameters:
t (float)
- class pytabkit.models.training.scheduling.ScheduleSequence
Bases:
TimeSchedule- __init__(lengths, schedules)
- call_time_(t)
- Parameters:
t (float)
- class pytabkit.models.training.scheduling.StepFunctionSchedule
Bases:
Schedule- __init__(f)
- get_value()
- update(learner)
- class pytabkit.models.training.scheduling.SumSchedule_
Bases:
Schedule- get_value()
- update(learner)
- class pytabkit.models.training.scheduling.SumTimeSchedule_
Bases:
TimeSchedule- __init__(first, second)
- Parameters:
first (TimeSchedule)
second (TimeSchedule)
- call_time_(t)
- Parameters:
t (float)
- class pytabkit.models.training.scheduling.TimeSchedule
Bases:
Schedule- __init__()
- call_time_(t)
- Parameters:
t (float)
- get_value()
- reversed()
- scaled(ymin=0.0, ymax=1.0, tmin=0.0, tmax=1.0)
- update(learner)
- pytabkit.models.training.scheduling.combine_scheds(lengths, schedules)
- pytabkit.models.training.scheduling.connect_cos_scheds(times, values)
- pytabkit.models.training.scheduling.connect_lin_scheds(times, values)
- pytabkit.models.training.scheduling.cos_func(x)
- pytabkit.models.training.scheduling.cos_warm_func(x)
- pytabkit.models.training.scheduling.get_cos_sched()
- Return type:
- pytabkit.models.training.scheduling.get_cos_warm_sched()
- Return type:
- pytabkit.models.training.scheduling.get_id_sched()
- Return type:
- pytabkit.models.training.scheduling.get_lin_sched()
- Return type:
- pytabkit.models.training.scheduling.get_schedule(sched_name)
- Parameters:
sched_name (str)
- Return type:
- pytabkit.models.training.scheduling.identity_func(x)
- pytabkit.models.training.scheduling.lin_func(x)
- pytabkit.models.training.scheduling.sched_prod(first, second)
- pytabkit.models.training.scheduling.sched_sum(first, second)