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This repository provides a modular and flexible implementation of general deep sequence models.

baselines/   Ported baseline models
functional/  Mathematical utilities
hippo/       Utilities for defining HiPPO operators
nn/          Standalone neural network components (nn.Module)
s4/          Standalone S4 modules
sequence/    Modular sequence model interface

HiPPO

HiPPO is the mathematical framework upon which the papers HiPPO, LSSL, and S4 are built on. HiPPO operators are defined in hippo/hippo.py. Function reconstruction experiments and visualizations are presented in hippo/visualizations.py.

S4

Standalone implementations of S4 can be found inside s4/ (see the README for usage).

Modular Sequence Model Interface

This README provides a basic overview of the model source code. It is recommended to see the config README for running experiments with these models.

SequenceModule

The SequenceModule class (sequence/base.py) is the abstract interface that all sequence models adhere to. In this codebase, sequence models are defined as a sequence-to-sequence map of shape (batch size, sequence length, model dimension) to (batch size, sequence length, output dimension).

The SequenceModule comes with other methods such as step which is meant for autoregressive settings, and logic to carry optional hidden states (for stateful models such as RNNs or S4).

To add a new model to this codebase, subclass SequenceModule and implement the required methods.

SequenceModel

The SequenceModel class (sequence/model.py) is the main backbone with configurable options for residual function, normalization placement, etc.

SequenceModel accepts a black box config for a layer. Compatible layers are SequenceModules (i.e. composable sequence transformations) found under sequence/.

Example Layers

S4

The S4 module is found at sequence/ss/s4.py.

Standalone versions are in the folder s4/.

LSSL

The LSSL is the predecessor of S4. It is currently not recommended for use, but the model can be found at sequence/ss/lssl.py.

It can be run by adding model/layer=lssl to the command line, or model/layer=lssl model.layer.learn=0 for the LSSL-fixed model which does not train $A, B, \Delta$.

RNNs

This codebase also contains a modular implementation of many RNN cells. These include HiPPO-RNN cells from the original HiPPO paper.

Some examples include model=rnn/hippo-legs and model=rnn/hippo-legt for HiPPO variants from the original paper, or model=rnn/gru for a GRU reimplementation, etc.

An exception is model=lstm to use the PyTorch LSTM.

Example command (reproducing the Permuted MNIST number from the HiPPO paper, which was SotA at the time):

python train.py pipeline=mnist model=rnn/hippo-legs model.cell_args.hidden_size=512 train.epochs=50 train.batch_size=100 train.lr=0.001

Baselines

Other sequence models are easily incorporated into this repository, and several other baselines have been ported.

These include CNNs such as CKConv and continuous-time/RNN models such as UnICORNN and LipschitzRNN.

Models and datasets can be flexibly interchanged. Examples:

python -m train pipeline=cifar model=ckconv
python -m train pipeline=mnist model=lipschitzrnn