Repository: WenjieDu/PyPOTS (language: python)

Issue:
Add TimeMixer
### 1. Model description

TimeMixer should be included in PyPOTS, and could start from the imputation task.

```bibtex
@inproceedings{wang2024timemixer,
title={TimeMixer: Decomposable Multiscale Mixing for Time Series Forecasting},
author={Shiyu Wang and Haixu Wu and Xiaoming Shi and Tengge Hu and Huakun Luo and Lintao Ma and James Y. Zhang and JUN ZHOU},
booktitle={The Twelfth International Conference on Learning Representations},
year={2024},
url={https://openreview.net/forum?id=7oLshfEIC2}
}
```

### 2. Check open-source status

- [X] The model implementation is publicly available

### 3. Provide useful information for the implementation

https://github.com/kwuking/TimeMixer
Implement TimeMixer as an imputation model
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1. fixing #397;


## Before submitting

<!-- You can remove checks that are not relevant to this PR. -->

- [x] Was this discussed/approved via a GitHub issue? Please add a link to it if that's the case.
- [x] I have commented my code, particularly in hard-to-understand areas.
- [x] I have written necessary tests and already run them locally.



Discussion / hints:

Fix patch:
diff --git a/.idea/icon.png b/.idea/icon.png
new file mode 100644
index 00000000..0a58e1cc
Binary files /dev/null and b/.idea/icon.png differ
diff --git a/README.md b/README.md
index c11fe903..95e74695 100644
--- a/README.md
+++ b/README.md
@@ -116,8 +116,9 @@ The paper references and links are all listed at the bottom of this file.
 | **Type**      | **Algo**                                                                                                                         | **IMPU** | **FORE** | **CLAS** | **CLUS** | **ANOD** | **Year - Venue**   |
 |:--------------|:---------------------------------------------------------------------------------------------------------------------------------|:--------:|:--------:|:--------:|:--------:|:--------:|:-------------------|
 | LLM           | <a href="https://time-series.ai"><img src="https://time-series.ai/static/figs/robot.svg" width="26px"> Time-Series.AI</a>  [^36] |    ✅     |    ✅     |    ✅     |    ✅     |    ✅     | `Later in 2024`    |
-| Neural Net    | ImputeFormer🧑‍🔧[^34]                                                                                                           |    ✅     |          |          |          |          | `2024 - KDD`       |
+| Neural Net    | TimeMixer[^37]                                                                                                                   |    ✅     |          |          |          |          | `2024 - ICLR`      |
 | Neural Net    | iTransformer🧑‍🔧[^24]                                                                                                           |    ✅     |          |          |          |          | `2024 - ICLR`      |
+| Neural Net    | ImputeFormer🧑‍🔧[^34]                                                                                                           |    ✅     |          |          |          |          | `2024 - KDD`       |
 | Neural Net    | SAITS[^1]                                                                                                                        |    ✅     |          |          |          |          | `2023 - ESWA`      |
 | Neural Net    | FreTS🧑‍🔧[^23]                                                                                                                  |    ✅     |          |          |          |          | `2023 - NeurIPS`   |
 | Neural Net    | Koopa🧑‍🔧[^29]                                                                                                                  |    ✅     |          |          |          |          | `2023 - NeurIPS`   |
@@ -320,7 +321,7 @@ By committing your code, you'll
    [pypots/imputation/template](https://github.com/WenjieDu/PyPOTS/tree/main/pypots/imputation/template)) to quickly start;
 2. become one of [PyPOTS contributors](https://github.com/WenjieDu/PyPOTS/graphs/contributors) and
    be listed as a volunteer developer [on the PyPOTS website](https://pypots.com/about/#volunteer-developers);
-3. get mentioned in our [release notes](https://github.com/WenjieDu/PyPOTS/releases);
+3. get mentioned in PyPOTS [release notes](https://github.com/WenjieDu/PyPOTS/releases);
 
 You can also contribute to PyPOTS by simply staring🌟 this repo to help more people notice it.
 Your star is your recognition to PyPOTS, and it matters!
@@ -395,3 +396,4 @@ PyPOTS community is open, transparent, and surely friendly. Let's work together
 [^36]: Project Gungnir, the world 1st LLM for time-series multitask modeling, will meet you soon. 🚀 Missing values and variable lengths in your datasets?
        Hard to perform multitask learning with your time series? Not problems no longer. We'll open application for public beta test recently ;-) Follow us, and stay tuned!
        <a href="https://time-series.ai"><img src="https://time-series.ai/static/figs/robot.svg" width="20px" align="center"> Time-Series.AI</a>
+[^37]: Wang, S., Wu, H., Shi, X., Hu, T., Luo, H., Ma, L., ... & ZHOU, J. (2024). [TimeMixer: Decomposable Multiscale Mixing for Time Series Forecasting](https://openreview.net/forum?id=7oLshfEIC2). *ICLR 2024*
diff --git a/README_zh.md b/README_zh.md
index e0c6eb08..d3f760cc 100644
--- a/README_zh.md
+++ b/README_zh.md
@@ -102,8 +102,9 @@ PyPOTS当前支持多变量POTS数据的插补，预测，分类，聚类以及
 | **类型**      | **算法**                                                                                                                                                  | **插补** | **预测** | **分类** | **聚类** | **异常检测** | **年份 - 刊物**        |
 |:--------------|:--------------------------------------------------------------------------------------------------------------------------------------------------------|:------:|:------:|:------:|:------:|:--------:|:-------------------|
 | LLM           | <a href="https://time-series.ai"><img src="https://time-series.ai/static/figs/robot.svg" width="26px"> Time-Series.AI</a>  [^36] |    ✅     |    ✅     |    ✅     |    ✅     |    ✅     | `Later in 2024`    |
-| Neural Net    | ImputeFormer🧑‍🔧[^34]                                                                                                                                  |    ✅     |          |          |          |          | `2024 - KDD`       |
+| Neural Net    | TimeMixer[^37]                                                                                                                   |    ✅     |          |          |          |          | `2024 - ICLR`      |
 | Neural Net    | iTransformer🧑‍🔧[^24]                                                                                                                                  |    ✅     |          |          |          |          | `2024 - ICLR`      |
+| Neural Net    | ImputeFormer🧑‍🔧[^34]                                                                                                                                  |    ✅     |          |          |          |          | `2024 - KDD`       |
 | Neural Net    | SAITS[^1]                                                                                                                                               |    ✅     |          |          |          |          | `2023 - ESWA`      |
 | Neural Net    | FreTS🧑‍🔧[^23]                                                                                                                                         |    ✅     |          |          |          |          | `2023 - NeurIPS`   |
 | Neural Net    | Koopa🧑‍🔧[^29]                                                                                                                                         |    ✅     |          |          |          |          | `2023 - NeurIPS`   |
@@ -292,7 +293,7 @@ year={2023},
    [pypots/imputation/template](https://github.com/WenjieDu/PyPOTS/tree/main/pypots/imputation/template))快速启动你的开发;
 2. 成为[PyPOTS贡献者](https://github.com/WenjieDu/PyPOTS/graphs/contributors)之一，
    并在[PyPOTS网站](https://pypots.com/about/#volunteer-developers)上被列为志愿开发者；
-3. 在我们发布新版本的[更新日志](https://github.com/WenjieDu/PyPOTS/releases)中被提及；
+3. 在PyPOTS发布新版本的[更新日志](https://github.com/WenjieDu/PyPOTS/releases)中被提及；
 
 你也可以通过为该项目设置星标🌟，帮助更多人关注它。你的星标🌟既是对PyPOTS的认可，也是对PyPOTS发展所做出的重要贡献！
 
@@ -364,3 +365,4 @@ PyPOTS社区是一个开放、透明、友好的社区，让我们共同努力
 [^35]: Bai, S., Kolter, J. Z., & Koltun, V. (2018). [An empirical evaluation of generic convolutional and recurrent networks for sequence modeling](https://arxiv.org/abs/1803.01271). *arXiv 2018*.
 [^36]: Gungnir项目，世界上第一个时间序列多任务大模型，将很快与大家见面。🚀 数据集存在缺少值且样本长短不一？多任务建模场景困难？都不再是问题，让我们的大模型来帮你解决。我们将在近期开放公测申请 ;-) 关注我们，敬请期待!
        <a href="https://time-series.ai"><img src="https://time-series.ai/static/figs/robot.svg" width="20px" align="center"> Time-Series.AI</a>
+[^37]: Wang, S., Wu, H., Shi, X., Hu, T., Luo, H., Ma, L., ... & ZHOU, J. (2024). [TimeMixer: Decomposable Multiscale Mixing for Time Series Forecasting](https://openreview.net/forum?id=7oLshfEIC2). *ICLR 2024*
diff --git a/docs/index.rst b/docs/index.rst
index d6c76d57..c0204b42 100644
--- a/docs/index.rst
+++ b/docs/index.rst
@@ -133,10 +133,12 @@ The paper references are all listed at the bottom of this readme file.
 +----------------+-----------------------------------------------------------+------+------+------+------+------+-----------------------+
 | Type           | Algorithm                                                 | IMPU | FORE | CLAS | CLUS | ANOD | Year - Venue          |
 +================+===========================================================+======+======+======+======+======+=======================+
-| Neural Net     | ImputeFormer      :cite:`nie2024imputeformer`             |  ✅  |      |      |      |      | ``2024 - KDD``        |
+| Neural Net     | TimeMixer      :cite:`wang2024timemixer`                  |  ✅  |      |      |      |      | ``2024 - ICLR``       |
 +----------------+-----------------------------------------------------------+------+------+------+------+------+-----------------------+
 | Neural Net     | iTransformer🧑‍🔧 :cite:`liu2024itransformer`             |  ✅  |      |      |      |      | ``2024 - ICLR``       |
 +----------------+-----------------------------------------------------------+------+------+------+------+------+-----------------------+
+| Neural Net     | ImputeFormer      :cite:`nie2024imputeformer`             |  ✅  |      |      |      |      | ``2024 - KDD``        |
++----------------+-----------------------------------------------------------+------+------+------+------+------+-----------------------+
 | Neural Net     | SAITS :cite:`du2023SAITS`                                 |  ✅  |      |      |      |      | ``2023 - ESWA``       |
 +----------------+-----------------------------------------------------------+------+------+------+------+------+-----------------------+
 | Neural Net     | FreTS🧑‍🔧 :cite:`yi2023frets`                            |  ✅  |      |      |      |      | ``2023 - NeurIPS``    |
@@ -333,7 +335,7 @@ By committing your code, you'll
    `pypots/imputation/template <https://github.com/WenjieDu/PyPOTS/tree/main/pypots/imputation/template>`_) to quickly start;
 2. become one of `PyPOTS contributors <https://github.com/WenjieDu/PyPOTS/graphs/contributors>`_ and
    be listed as a volunteer developer `on the PyPOTS website <https://pypots.com/about/#volunteer-developers>`_;
-3. get mentioned in our `release notes <https://github.com/WenjieDu/PyPOTS/releases>`_;
+3. get mentioned in PyPOTS `release notes <https://github.com/WenjieDu/PyPOTS/releases>`_;
 
 You can also contribute to PyPOTS by simply staring🌟 this repo to help more people notice it.
 Your star is your recognition to PyPOTS, and it matters!
diff --git a/docs/pypots.imputation.rst b/docs/pypots.imputation.rst
index d994f96a..8af2d63f 100644
--- a/docs/pypots.imputation.rst
+++ b/docs/pypots.imputation.rst
@@ -19,6 +19,15 @@ pypots.imputation.transformer
    :show-inheritance:
    :inherited-members:
 
+pypots.imputation.timemixer
+------------------------------------
+
+.. automodule:: pypots.imputation.timemixer
+   :members:
+   :undoc-members:
+   :show-inheritance:
+   :inherited-members:
+
 pypots.imputation.imputeformer
 ------------------------------------
 
diff --git a/pypots/imputation/__init__.py b/pypots/imputation/__init__.py
index 7de15dae..4272f36e 100644
--- a/pypots/imputation/__init__.py
+++ b/pypots/imputation/__init__.py
@@ -36,6 +36,7 @@
 from .grud import GRUD
 from .stemgnn import StemGNN
 from .imputeformer import ImputeFormer
+from .timemixer import TimeMixer
 
 # naive imputation methods
 from .locf import LOCF
@@ -75,6 +76,7 @@
     "GRUD",
     "StemGNN",
     "ImputeFormer",
+    "TimeMixer",
     # naive imputation methods
     "LOCF",
     "Mean",
diff --git a/pypots/imputation/timemixer/__init__.py b/pypots/imputation/timemixer/__init__.py
new file mode 100644
index 00000000..9cc9998d
--- /dev/null
+++ b/pypots/imputation/timemixer/__init__.py
@@ -0,0 +1,24 @@
+"""
+The package including the modules of TimeMixer.
+
+Refer to the paper
+`Shiyu Wang, Haixu Wu, Xiaoming Shi, Tengge Hu, Huakun Luo, Lintao Ma, James Y. Zhang, and Jun Zhou.
+"TimeMixer: Decomposable Multiscale Mixing for Time Series Forecasting".
+In ICLR 2024.
+<https://openreview.net/pdf?id=7oLshfEIC2>`_
+
+Notes
+-----
+This implementation is inspired by the official one https://github.com/kwuking/TimeMixer
+
+"""
+
+# Created by Wenjie Du <wenjay.du@gmail.com>
+# License: BSD-3-Clause
+
+
+from .model import TimeMixer
+
+__all__ = [
+    "TimeMixer",
+]
diff --git a/pypots/imputation/timemixer/core.py b/pypots/imputation/timemixer/core.py
new file mode 100644
index 00000000..c094d2ff
--- /dev/null
+++ b/pypots/imputation/timemixer/core.py
@@ -0,0 +1,83 @@
+"""
+
+"""
+
+# Created by Wenjie Du <wenjay.du@gmail.com>
+# License: BSD-3-Clause
+
+import torch.nn as nn
+
+from ...nn.functional import (
+    nonstationary_norm,
+    nonstationary_denorm,
+)
+from ...nn.modules.timemixer import BackboneTimeMixer
+from ...utils.metrics import calc_mse
+
+
+class _TimeMixer(nn.Module):
+    def __init__(
+        self,
+        n_layers,
+        n_steps,
+        n_features,
+        d_model,
+        d_ffn,
+        dropout,
+        top_k,
+        channel_independence,
+        decomp_method,
+        moving_avg,
+        downsampling_layers,
+        downsampling_window,
+        apply_nonstationary_norm: bool = False,
+    ):
+        super().__init__()
+
+        self.apply_nonstationary_norm = apply_nonstationary_norm
+
+        self.model = BackboneTimeMixer(
+            task_name="imputation",
+            n_steps=n_steps,
+            n_features=n_features,
+            n_pred_steps=None,
+            n_pred_features=n_features,
+            n_layers=n_layers,
+            d_model=d_model,
+            d_ffn=d_ffn,
+            dropout=dropout,
+            channel_independence=channel_independence,
+            decomp_method=decomp_method,
+            top_k=top_k,
+            moving_avg=moving_avg,
+            downsampling_layers=downsampling_layers,
+            downsampling_window=downsampling_window,
+            downsampling_method="avg",
+            use_future_temporal_feature=False,
+        )
+
+    def forward(self, inputs: dict, training: bool = True) -> dict:
+        X, missing_mask = inputs["X"], inputs["missing_mask"]
+
+        if self.apply_nonstationary_norm:
+            # Normalization from Non-stationary Transformer
+            X, means, stdev = nonstationary_norm(X, missing_mask)
+
+        # TimesMixer processing
+        dec_out = self.model.imputation(X, None)
+
+        if self.apply_nonstationary_norm:
+            # De-Normalization from Non-stationary Transformer
+            dec_out = nonstationary_denorm(dec_out, means, stdev)
+
+        imputed_data = missing_mask * X + (1 - missing_mask) * dec_out
+        results = {
+            "imputed_data": imputed_data,
+        }
+
+        if training:
+            # `loss` is always the item for backward propagating to update the model
+            loss = calc_mse(dec_out, inputs["X_ori"], inputs["indicating_mask"])
+            results["loss"] = loss
+
+        return results
diff --git a/pypots/imputation/timemixer/data.py b/pypots/imputation/timemixer/data.py
new file mode 100644
index 00000000..5a504213
--- /dev/null
+++ b/pypots/imputation/timemixer/data.py
@@ -0,0 +1,24 @@
+"""
+Dataset class for the imputation model TimeMixer.
+"""
+
+# Created by Wenjie Du <wenjay.du@gmail.com>
+# License: BSD-3-Clause
+
+from typing import Union
+
+from ..saits.data import DatasetForSAITS
+
+
+class DatasetForTimeMixer(DatasetForSAITS):
+    """Actually TimeMixer uses the same data strategy as SAITS, needs MIT for training."""
+
+    def __init__(
+        self,
+        data: Union[dict, str],
+        return_X_ori: bool,
+        return_y: bool,
+        file_type: str = "hdf5",
+        rate: float = 0.2,
+    ):
+        super().__init__(data, return_X_ori, return_y, file_type, rate)
diff --git a/pypots/imputation/timemixer/model.py b/pypots/imputation/timemixer/model.py
new file mode 100644
index 00000000..b79280a0
--- /dev/null
+++ b/pypots/imputation/timemixer/model.py
@@ -0,0 +1,343 @@
+"""
+The implementation of TimeMixer for the partially-observed time-series imputation task.
+
+"""
+
+# Created by Wenjie Du <wenjay.du@gmail.com>
+# License: BSD-3-Clause
+
+from typing import Union, Optional
+
+import numpy as np
+import torch
+from torch.utils.data import DataLoader
+
+from .core import _TimeMixer
+from .data import DatasetForTimeMixer
+from ..base import BaseNNImputer
+from ...data.checking import key_in_data_set
+from ...data.dataset import BaseDataset
+from ...optim.adam import Adam
+from ...optim.base import Optimizer
+
+
+class TimeMixer(BaseNNImputer):
+    """The PyTorch implementation of the TimeMixer model.
+    TimeMixer is originally proposed by Wang et al. in :cite:`wang2024timemixer`.
+
+    Parameters
+    ----------
+    n_steps :
+        The number of time steps in the time-series data sample.
+
+    n_features :
+        The number of features in the time-series data sample.
+
+    n_layers :
+        The number of layers in the TimeMixer model.
+
+    d_model :
+        The dimension of the model.
+
+    d_ffn :
+        The dimension of the feed-forward network.
+
+    top_k :
+        The number of top-k amplitude values to be selected to  obtain the most significant frequencies.
+
+    dropout :
+        The dropout rate for the model.
+
+    channel_independence :
+        Whether to use channel independence in the model.
+
+    decomp_method :
+        The decomposition method for the model. It has to be one of ['moving_avg', 'dft_decomp'].
+
+    moving_avg :
+        The window size for moving average decomposition.
+
+    downsampling_layers :
+        The number of downsampling layers in the model.
+
+    downsampling_window :
+        The window size for downsampling.
+
+    apply_nonstationary_norm :
+        Whether to apply non-stationary normalization to the input data for TimeMixer.
+        Please refer to :cite:`liu2022nonstationary` for details about non-stationary normalization,
+        which is not the idea of the original TimeMixer paper. Hence, we make it optional and default not to use here.
+
+    batch_size :
+        The batch size for training and evaluating the model.
+
+    epochs :
+        The number of epochs for training the model.
+
+    patience :
+        The patience for the early-stopping mechanism. Given a positive integer, the training process will be
+        stopped when the model does not perform better after that number of epochs.
+        Leaving it default as None will disable the early-stopping.
+
+    optimizer :
+        The optimizer for model training.
+        If not given, will use a default Adam optimizer.
+
+    num_workers :
+        The number of subprocesses to use for data loading.
+        `0` means data loading will be in the main process, i.e. there won't be subprocesses.
+
+    device :
+        The device for the model to run on. It can be a string, a :class:`torch.device` object, or a list of them.
+        If not given, will try to use CUDA devices first (will use the default CUDA device if there are multiple),
+        then CPUs, considering CUDA and CPU are so far the main devices for people to train ML models.
+        If given a list of devices, e.g. ['cuda:0', 'cuda:1'], or [torch.device('cuda:0'), torch.device('cuda:1')] , the
+        model will be parallely trained on the multiple devices (so far only support parallel training on CUDA devices).
+        Other devices like Google TPU and Apple Silicon accelerator MPS may be added in the future.
+
+    saving_path :
+        The path for automatically saving model checkpoints and tensorboard files (i.e. loss values recorded during
+        training into a tensorboard file). Will not save if not given.
+
+    model_saving_strategy :
+        The strategy to save model checkpoints. It has to be one of [None, "best", "better", "all"].
+        No model will be saved when it is set as None.
+        The "best" strategy will only automatically save the best model after the training finished.
+        The "better" strategy will automatically save the model during training whenever the model performs
+        better than in previous epochs.
+        The "all" strategy will save every model after each epoch training.
+
+    verbose :
+        Whether to print out the training logs during the training process.
+    """
+
+    def __init__(
+        self,
+        n_steps: int,
+        n_features: int,
+        n_layers: int,
+        d_model: int,
+        d_ffn: int,
+        top_k: int,
+        dropout: float = 0,
+        channel_independence: bool = False,
+        decomp_method: str = "moving_avg",
+        moving_avg: int = 5,
+        downsampling_layers: int = 3,
+        downsampling_window: int = 2,
+        apply_nonstationary_norm: bool = False,
+        batch_size: int = 32,
+        epochs: int = 100,
+        patience: int = None,
+        optimizer: Optional[Optimizer] = Adam(),
+        num_workers: int = 0,
+        device: Optional[Union[str, torch.device, list]] = None,
+        saving_path: str = None,
+        model_saving_strategy: Optional[str] = "best",
+        verbose: bool = True,
+    ):
+        super().__init__(
+            batch_size,
+            epochs,
+            patience,
+            num_workers,
+            device,
+            saving_path,
+            model_saving_strategy,
+            verbose,
+        )
+
+        assert decomp_method in [
+            "moving_avg",
+            "dft_decomp",
+        ], "decomp_method must be one of ['moving_avg', 'dft_decomp']."
+
+        self.n_steps = n_steps
+        self.n_features = n_features
+        # model hype-parameters
+        self.n_layers = n_layers
+        self.d_model = d_model
+        self.d_ffn = d_ffn
+        self.dropout = dropout
+        self.top_k = top_k
+        self.channel_independence = channel_independence
+        self.decomp_method = decomp_method
+        self.moving_avg = moving_avg
+        self.downsampling_layers = downsampling_layers
+        self.downsampling_window = downsampling_window
+        self.apply_nonstationary_norm = apply_nonstationary_norm
+
+        # set up the model
+        self.model = _TimeMixer(
+            self.n_layers,
+            self.n_steps,
+            self.n_features,
+            self.d_model,
+            self.d_ffn,
+            self.dropout,
+            self.top_k,
+            self.channel_independence,
+            self.decomp_method,
+            self.moving_avg,
+            self.downsampling_layers,
+            self.downsampling_window,
+            self.apply_nonstationary_norm,
+        )
+        self._send_model_to_given_device()
+        self._print_model_size()
+
+        # set up the optimizer
+        self.optimizer = optimizer
+        self.optimizer.init_optimizer(self.model.parameters())
+
+    def _assemble_input_for_training(self, data: list) -> dict:
+        (
+            indices,
+            X,
+            missing_mask,
+            X_ori,
+            indicating_mask,
+        ) = self._send_data_to_given_device(data)
+
+        inputs = {
+            "X": X,
+            "missing_mask": missing_mask,
+            "X_ori": X_ori,
+            "indicating_mask": indicating_mask,
+        }
+
+        return inputs
+
+    def _assemble_input_for_validating(self, data: list) -> dict:
+        return self._assemble_input_for_training(data)
+
+    def _assemble_input_for_testing(self, data: list) -> dict:
+        indices, X, missing_mask = self._send_data_to_given_device(data)
+
+        inputs = {
+            "X": X,
+            "missing_mask": missing_mask,
+        }
+
+        return inputs
+
+    def fit(
+        self,
+        train_set: Union[dict, str],
+        val_set: Optional[Union[dict, str]] = None,
+        file_type: str = "hdf5",
+    ) -> None:
+        # Step 1: wrap the input data with classes Dataset and DataLoader
+        training_set = DatasetForTimeMixer(
+            train_set, return_X_ori=False, return_y=False, file_type=file_type
+        )
+        training_loader = DataLoader(
+            training_set,
+            batch_size=self.batch_size,
+            shuffle=True,
+            num_workers=self.num_workers,
+        )
+        val_loader = None
+        if val_set is not None:
+            if not key_in_data_set("X_ori", val_set):
+                raise ValueError("val_set must contain 'X_ori' for model validation.")
+            val_set = DatasetForTimeMixer(
+                val_set, return_X_ori=True, return_y=False, file_type=file_type
+            )
+            val_loader = DataLoader(
+                val_set,
+                batch_size=self.batch_size,
+                shuffle=False,
+                num_workers=self.num_workers,
+            )
+
+        # Step 2: train the model and freeze it
+        self._train_model(training_loader, val_loader)
+        self.model.load_state_dict(self.best_model_dict)
+        self.model.eval()  # set the model as eval status to freeze it.
+
+        # Step 3: save the model if necessary
+        self._auto_save_model_if_necessary(confirm_saving=True)
+
+    def predict(
+        self,
+        test_set: Union[dict, str],
+        file_type: str = "hdf5",
+    ) -> dict:
+        """Make predictions for the input data with the trained model.
+
+        Parameters
+        ----------
+        test_set : dict or str
+            The dataset for model validating, should be a dictionary including keys as 'X',
+            or a path string locating a data file supported by PyPOTS (e.g. h5 file).
+            If it is a dict, X should be array-like of shape [n_samples, sequence length (n_steps), n_features],
+            which is time-series data for validating, can contain missing values, and y should be array-like of shape
+            [n_samples], which is classification labels of X.
+            If it is a path string, the path should point to a data file, e.g. a h5 file, which contains
+            key-value pairs like a dict, and it has to include keys as 'X' and 'y'.
+
+        file_type :
+            The type of the given file if test_set is a path string.
+
+        Returns
+        -------
+        file_type :
+            The dictionary containing the clustering results and latent variables if necessary.
+
+        """
+        # Step 1: wrap the input data with classes Dataset and DataLoader
+        self.model.eval()  # set the model as eval status to freeze it.
+        test_set = BaseDataset(
+            test_set,
+            return_X_ori=False,
+            return_X_pred=False,
+            return_y=False,
+            file_type=file_type,
+        )
+        test_loader = DataLoader(
+            test_set,
+            batch_size=self.batch_size,
+            shuffle=False,
+            num_workers=self.num_workers,
+        )
+        imputation_collector = []
+
+        # Step 2: process the data with the model
+        with torch.no_grad():
+            for idx, data in enumerate(test_loader):
+                inputs = self._assemble_input_for_testing(data)
+                results = self.model.forward(inputs, training=False)
+                imputation_collector.append(results["imputed_data"])
+
+        # Step 3: output collection and return
+        imputation = torch.cat(imputation_collector).cpu().detach().numpy()
+        result_dict = {
+            "imputation": imputation,
+        }
+        return result_dict
+
+    def impute(
+        self,
+        test_set: Union[dict, str],
+        file_type: str = "hdf5",
+    ) -> np.ndarray:
+        """Impute missing values in the given data with the trained model.
+
+        Parameters
+        ----------
+        test_set :
+            The data samples for testing, should be array-like of shape [n_samples, sequence length (n_steps),
+            n_features], or a path string locating a data file, e.g. h5 file.
+
+        file_type :
+            The type of the given file if X is a path string.
+
+        Returns
+        -------
+        array-like, shape [n_samples, sequence length (n_steps), n_features],
+            Imputed data.
+        """
+
+        result_dict = self.predict(test_set, file_type=file_type)
+        return result_dict["imputation"]
diff --git a/pypots/nn/modules/timemixer/__init__.py b/pypots/nn/modules/timemixer/__init__.py
new file mode 100644
index 00000000..455b09ec
--- /dev/null
+++ b/pypots/nn/modules/timemixer/__init__.py
@@ -0,0 +1,23 @@
+"""
+The package including the modules of TimeMixer.
+
+Refer to the paper
+`Shiyu Wang, Haixu Wu, Xiaoming Shi, Tengge Hu, Huakun Luo, Lintao Ma, James Y. Zhang, and Jun Zhou.
+"TimeMixer: Decomposable Multiscale Mixing for Time Series Forecasting".
+In ICLR 2024.
+<https://openreview.net/pdf?id=7oLshfEIC2>`_
+
+Notes
+-----
+This implementation is inspired by the official one https://github.com/kwuking/TimeMixer
+
+"""
+
+# Created by Wenjie Du <wenjay.du@gmail.com>
+# License: BSD-3-Clause
+
+from .backbone import BackboneTimeMixer
+
+__all__ = [
+    "BackboneTimeMixer",
+]
diff --git a/pypots/nn/modules/timemixer/backbone.py b/pypots/nn/modules/timemixer/backbone.py
new file mode 100644
index 00000000..ad9238c2
--- /dev/null
+++ b/pypots/nn/modules/timemixer/backbone.py
@@ -0,0 +1,392 @@
+"""
+
+"""
+
+# Created by Wenjie Du <wenjay.du@gmail.com>
+# License: BSD-3-Clause
+
+import torch
+import torch.nn as nn
+import torch.nn.functional as F
+
+from .layers import PastDecomposableMixing
+from ..autoformer import SeriesDecompositionBlock
+from ..revin import RevIN
+from ..transformer.embedding import DataEmbedding
+
+
+class BackboneTimeMixer(nn.Module):
+    def __init__(
+        self,
+        task_name,
+        n_steps,
+        n_features,
+        n_pred_steps,
+        n_pred_features,
+        n_layers,
+        d_model,
+        d_ffn,
+        dropout,
+        channel_independence,
+        decomp_method,
+        top_k,
+        moving_avg,
+        downsampling_layers,
+        downsampling_window,
+        downsampling_method,
+        use_future_temporal_feature,
+        embed="fixed",
+        freq="h",
+        n_classes=None,
+    ):
+        super().__init__()
+        self.task_name = task_name
+        self.n_steps = n_steps
+        self.n_features = n_features
+        self.n_pred_steps = n_pred_steps
+        self.n_pred_features = n_pred_features
+        self.n_layers = n_layers
+        self.channel_independence = channel_independence
+        self.downsampling_window = downsampling_window
+        self.downsampling_layers = downsampling_layers
+        self.downsampling_method = downsampling_method
+        self.use_future_temporal_feature = use_future_temporal_feature
+
+        self.pdm_blocks = nn.ModuleList(
+            [
+                PastDecomposableMixing(
+                    n_steps,
+                    n_pred_steps,
+                    d_model,
+                    d_ffn,
+                    dropout,
+                    channel_independence,
+                    decomp_method,
+                    top_k,
+                    moving_avg,
+                    downsampling_layers,
+                    downsampling_window,
+                )
+                for _ in range(n_layers)
+            ]
+        )
+        self.preprocess = SeriesDecompositionBlock(moving_avg)
+
+        if self.channel_independence == 1:
+            self.enc_embedding = DataEmbedding(
+                1, d_model, embed, freq, dropout, with_pos=False
+            )
+        else:
+            self.enc_embedding = DataEmbedding(
+                n_features, d_model, embed, freq, dropout, with_pos=False
+            )
+
+        self.normalize_layers = torch.nn.ModuleList(
+            [RevIN(n_features) for _ in range(downsampling_layers + 1)]
+        )
+
+        if task_name == "long_term_forecast" or task_name == "short_term_forecast":
+            self.predict_layers = torch.nn.ModuleList(
+                [
+                    torch.nn.Linear(
+                        n_steps // (downsampling_window**i),
+                        n_pred_steps,
+                    )
+                    for i in range(downsampling_layers + 1)
+                ]
+            )
+
+            if self.channel_independence == 1:
+                self.projection_layer = nn.Linear(d_model, 1, bias=True)
+            else:
+                self.projection_layer = nn.Linear(d_model, n_pred_features, bias=True)
+
+                self.out_res_layers = torch.nn.ModuleList(
+                    [
+                        torch.nn.Linear(
+                            n_steps // (downsampling_window**i),
+                            n_steps // (downsampling_window**i),
+                        )
+                        for i in range(downsampling_layers + 1)
+                    ]
+                )
+
+                self.regression_layers = torch.nn.ModuleList(
+                    [
+                        torch.nn.Linear(
+                            n_steps // (downsampling_window**i),
+                            n_pred_steps,
+                        )
+                        for i in range(downsampling_layers + 1)
+                    ]
+                )
+        if task_name == "imputation" or task_name == "anomaly_detection":
+            if self.channel_independence == 1:
+                self.projection_layer = nn.Linear(d_model, 1, bias=True)
+            else:
+                self.projection_layer = nn.Linear(d_model, n_pred_features, bias=True)
+        if task_name == "classification":
+            self.act = F.gelu
+            self.dropout = nn.Dropout(dropout)
+            self.projection = nn.Linear(d_model * n_steps, n_classes)
+
+    def out_projection(self, dec_out, i, out_res):
+        dec_out = self.projection_layer(dec_out)
+        out_res = out_res.permute(0, 2, 1)
+        out_res = self.out_res_layers[i](out_res)
+        out_res = self.regression_layers[i](out_res).permute(0, 2, 1)
+        dec_out = dec_out + out_res
+        return dec_out
+
+    def pre_enc(self, x_list):
+        if self.channel_independence == 1:
+            return x_list, None
+        else:
+            out1_list = []
+            out2_list = []
+            for x in x_list:
+                x_1, x_2 = self.preprocess(x)
+                out1_list.append(x_1)
+                out2_list.append(x_2)
+            return out1_list, out2_list
+
+    def __multi_scale_process_inputs(self, x_enc, x_mark_enc):
+        if self.downsampling_method == "max":
+            down_pool = torch.nn.MaxPool1d(
+                self.downsampling_window, return_indices=False
+            )
+        elif self.downsampling_method == "avg":
+            down_pool = torch.nn.AvgPool1d(self.downsampling_window)
+        elif self.downsampling_method == "conv":
+            padding = 1 if torch.__version__ >= "1.5.0" else 2
+            down_pool = nn.Conv1d(
+                in_channels=self.enc_in,
+                out_channels=self.enc_in,
+                kernel_size=3,
+                padding=padding,
+                stride=self.downsampling_window,
+                padding_mode="circular",
+                bias=False,
+            )
+        else:
+            return x_enc, x_mark_enc
+        # B,T,C -> B,C,T
+        x_enc = x_enc.permute(0, 2, 1)
+
+        x_enc_ori = x_enc
+        x_mark_enc_mark_ori = x_mark_enc
+
+        x_enc_sampling_list = []
+        x_mark_sampling_list = []
+        x_enc_sampling_list.append(x_enc.permute(0, 2, 1))
+        x_mark_sampling_list.append(x_mark_enc)
+
+        for i in range(self.downsampling_layers):
+            x_enc_sampling = down_pool(x_enc_ori)
+
+            x_enc_sampling_list.append(x_enc_sampling.permute(0, 2, 1))
+            x_enc_ori = x_enc_sampling
+
+            if x_mark_enc_mark_ori is not None:
+                x_mark_sampling_list.append(
+                    x_mark_enc_mark_ori[:, :: self.downsampling_window, :]
+                )
+                x_mark_enc_mark_ori = x_mark_enc_mark_ori[
+                    :, :: self.downsampling_window, :
+                ]
+
+        x_enc = x_enc_sampling_list
+        if x_mark_enc_mark_ori is not None:
+            x_mark_enc = x_mark_sampling_list
+        else:
+            x_mark_enc = x_mark_enc
+
+        return x_enc, x_mark_enc
+
+    def forecast(self, x_enc, x_mark_enc, x_dec, x_mark_dec):
+        if self.use_future_temporal_feature:
+            if self.channel_independence == 1:
+                B, T, N = x_enc.size()
+                x_mark_dec = x_mark_dec.repeat(N, 1, 1)
+                self.x_mark_dec = self.enc_embedding(None, x_mark_dec)
+            else:
+                self.x_mark_dec = self.enc_embedding(None, x_mark_dec)
+
+        x_enc, x_mark_enc = self.__multi_scale_process_inputs(x_enc, x_mark_enc)
+
+        x_list = []
+        x_mark_list = []
+        if x_mark_enc is not None:
+            for i, x, x_mark in zip(range(len(x_enc)), x_enc, x_mark_enc):
+                B, T, N = x.size()
+                x = self.normalize_layers[i](x, "norm")
+                if self.channel_independence == 1:
+                    x = x.permute(0, 2, 1).contiguous().reshape(B * N, T, 1)
+                    x_mark = x_mark.repeat(N, 1, 1)
+                x_list.append(x)
+                x_mark_list.append(x_mark)
+        else:
+            for i, x in zip(
+                range(len(x_enc)),
+                x_enc,
+            ):
+                B, T, N = x.size()
+                x = self.normalize_layers[i](x, "norm")
+                if self.channel_independence == 1:
+                    x = x.permute(0, 2, 1).contiguous().reshape(B * N, T, 1)
+                x_list.append(x)
+
+        # embedding
+        enc_out_list = []
+        x_list = self.pre_enc(x_list)
+        if x_mark_enc is not None:
+            for i, x, x_mark in zip(range(len(x_list[0])), x_list[0], x_mark_list):
+                enc_out = self.enc_embedding(x, x_mark)  # [B,T,C]
+                enc_out_list.append(enc_out)
+        else:
+            for i, x in zip(range(len(x_list[0])), x_list[0]):
+                enc_out = self.enc_embedding(x, None)  # [B,T,C]
+                enc_out_list.append(enc_out)
+
+        # Past Decomposable Mixing as encoder for past
+        for i in range(self.layer):
+            enc_out_list = self.pdm_blocks[i](enc_out_list)
+
+        # Future Multipredictor Mixing as decoder for future
+        dec_out_list = self.future_multi_mixing(B, enc_out_list, x_list)
+
+        dec_out = torch.stack(dec_out_list, dim=-1).sum(-1)
+        dec_out = self.normalize_layers[0](dec_out, "denorm")
+        return dec_out
+
+    def future_multi_mixing(self, B, enc_out_list, x_list):
+        dec_out_list = []
+        if self.channel_independence == 1:
+            x_list = x_list[0]
+            for i, enc_out in zip(range(len(x_list)), enc_out_list):
+                dec_out = self.predict_layers[i](enc_out.permute(0, 2, 1)).permute(
+                    0, 2, 1
+                )  # align temporal dimension
+                if self.use_future_temporal_feature:
+                    dec_out = dec_out + self.x_mark_dec
+                    dec_out = self.projection_layer(dec_out)
+                else:
+                    dec_out = self.projection_layer(dec_out)
+                dec_out = (
+                    dec_out.reshape(B, self.c_out, self.n_pred_steps)
+                    .permute(0, 2, 1)
+                    .contiguous()
+                )
+                dec_out_list.append(dec_out)
+
+        else:
+            for i, enc_out, out_res in zip(
+                range(len(x_list[0])), enc_out_list, x_list[1]
+            ):
+                dec_out = self.predict_layers[i](enc_out.permute(0, 2, 1)).permute(
+                    0, 2, 1
+                )  # align temporal dimension
+                dec_out = self.out_projection(dec_out, i, out_res)
+                dec_out_list.append(dec_out)
+
+        return dec_out_list
+
+    def classification(self, x_enc, x_mark_enc):
+        x_enc, _ = self.__multi_scale_process_inputs(x_enc, None)
+        x_list = x_enc
+
+        # embedding
+        enc_out_list = []
+        for x in x_list:
+            enc_out = self.enc_embedding(x, None)  # [B,T,C]
+            enc_out_list.append(enc_out)
+
+        # MultiScale-CrissCrossAttention  as encoder for past
+        for i in range(self.layer):
+            enc_out_list = self.pdm_blocks[i](enc_out_list)
+
+        enc_out = enc_out_list[0]
+        # Output
+        # the output transformer encoder/decoder embeddings don't include non-linearity
+        output = self.act(enc_out)
+        output = self.dropout(output)
+        # zero-out padding embeddings
+        output = output * x_mark_enc.unsqueeze(-1)
+        # (batch_size, n_stepsgth * d_model)
+        output = output.reshape(output.shape[0], -1)
+        output = self.projection(output)  # (batch_size, num_classes)
+        return output
+
+    def anomaly_detection(self, x_enc):
+        B, T, N = x_enc.size()
+        x_enc, _ = self.__multi_scale_process_inputs(x_enc, None)
+
+        x_list = []
+
+        for i, x in zip(
+            range(len(x_enc)),
+            x_enc,
+        ):
+            B, T, N = x.size()
+            x = self.normalize_layers[i](x, "norm")
+            if self.channel_independence == 1:
+                x = x.permute(0, 2, 1).contiguous().reshape(B * N, T, 1)
+            x_list.append(x)
+
+        # embedding
+        enc_out_list = []
+        for x in x_list:
+            enc_out = self.enc_embedding(x, None)  # [B,T,C]
+            enc_out_list.append(enc_out)
+
+        # MultiScale-CrissCrossAttention  as encoder for past
+        for i in range(self.layer):
+            enc_out_list = self.pdm_blocks[i](enc_out_list)
+
+        dec_out = self.projection_layer(enc_out_list[0])
+        dec_out = dec_out.reshape(B, self.c_out, -1).permute(0, 2, 1).contiguous()
+
+        dec_out = self.normalize_layers[0](dec_out, "denorm")
+        return dec_out
+
+    def imputation(self, x_enc, x_mark_enc):
+
+        B, T, N = x_enc.size()
+        x_enc, x_mark_enc = self.__multi_scale_process_inputs(x_enc, x_mark_enc)
+
+        x_list = []
+        x_mark_list = []
+        if x_mark_enc is not None:
+            for i, x, x_mark in zip(range(len(x_enc)), x_enc, x_mark_enc):
+                B, T, N = x.size()
+                if self.channel_independence == 1:
+                    x = x.permute(0, 2, 1).contiguous().reshape(B * N, T, 1)
+                x_list.append(x)
+                x_mark = x_mark.repeat(N, 1, 1)
+                x_mark_list.append(x_mark)
+        else:
+            for i, x in zip(
+                range(len(x_enc)),
+                x_enc,
+            ):
+                B, T, N = x.size()
+                if self.channel_independence == 1:
+                    x = x.permute(0, 2, 1).contiguous().reshape(B * N, T, 1)
+                x_list.append(x)
+
+        # embedding
+        enc_out_list = []
+        for x in x_list:
+            enc_out = self.enc_embedding(x, None)  # [B,T,C]
+            enc_out_list.append(enc_out)
+
+        # MultiScale-CrissCrossAttention  as encoder for past
+        for i in range(self.n_layers):
+            enc_out_list = self.pdm_blocks[i](enc_out_list)
+
+        dec_out = self.projection_layer(enc_out_list[0])
+        dec_out = (
+            dec_out.reshape(B, self.n_pred_features, -1).permute(0, 2, 1).contiguous()
+        )
+
+        return dec_out
diff --git a/pypots/nn/modules/timemixer/layers.py b/pypots/nn/modules/timemixer/layers.py
new file mode 100644
index 00000000..9f6e4d5e
--- /dev/null
+++ b/pypots/nn/modules/timemixer/layers.py
@@ -0,0 +1,222 @@
+"""
+
+"""
+
+# Created by Wenjie Du <wenjay.du@gmail.com>
+# License: BSD-3-Clause
+
+import torch
+import torch.nn as nn
+
+from ..autoformer import SeriesDecompositionBlock
+
+
+class DFT_series_decomp(nn.Module):
+    """
+    Series decomposition block
+    """
+
+    def __init__(self, top_k=5):
+        super().__init__()
+        self.top_k = top_k
+
+    def forward(self, x):
+        xf = torch.fft.rfft(x)
+        freq = abs(xf)
+        freq[0] = 0
+        top_k_freq, top_list = torch.topk(freq, self.top_k)
+        xf[freq <= top_k_freq.min()] = 0
+        x_season = torch.fft.irfft(xf)
+        x_trend = x - x_season
+        return x_season, x_trend
+
+
+class MultiScaleSeasonMixing(nn.Module):
+    """
+    Bottom-up mixing season pattern
+    """
+
+    def __init__(
+        self,
+        n_steps,
+        downsampling_window,
+        downsampling_layers,
+    ):
+        super().__init__()
+
+        self.downsampling_layers = torch.nn.ModuleList(
+            [
+                nn.Sequential(
+                    torch.nn.Linear(
+                        n_steps // (downsampling_window**i),
+                        n_steps // (downsampling_window ** (i + 1)),
+                    ),
+                    nn.GELU(),
+                    torch.nn.Linear(
+                        n_steps // (downsampling_window ** (i + 1)),
+                        n_steps // (downsampling_window ** (i + 1)),
+                    ),
+                )
+                for i in range(downsampling_layers)
+            ]
+        )
+
+    def forward(self, season_list):
+
+        # mixing high->low
+        out_high = season_list[0]
+        out_low = season_list[1]
+        out_season_list = [out_high.permute(0, 2, 1)]
+
+        for i in range(len(season_list) - 1):
+            out_low_res = self.downsampling_layers[i](out_high)
+            out_low = out_low + out_low_res
+            out_high = out_low
+            if i + 2 <= len(season_list) - 1:
+                out_low = season_list[i + 2]
+            out_season_list.append(out_high.permute(0, 2, 1))
+
+        return out_season_list
+
+
+class MultiScaleTrendMixing(nn.Module):
+    """
+    Top-down mixing trend pattern
+    """
+
+    def __init__(
+        self,
+        n_steps,
+        downsampling_window,
+        downsampling_layers,
+    ):
+        super().__init__()
+
+        self.up_sampling_layers = torch.nn.ModuleList(
+            [
+                nn.Sequential(
+                    torch.nn.Linear(
+                        n_steps // (downsampling_window ** (i + 1)),
+                        n_steps // (downsampling_window**i),
+                    ),
+                    nn.GELU(),
+                    torch.nn.Linear(
+                        n_steps // (downsampling_window**i),
+                        n_steps // (downsampling_window**i),
+                    ),
+                )
+                for i in reversed(range(downsampling_layers))
+            ]
+        )
+
+    def forward(self, trend_list):
+
+        # mixing low->high
+        trend_list_reverse = trend_list.copy()
+        trend_list_reverse.reverse()
+        out_low = trend_list_reverse[0]
+        out_high = trend_list_reverse[1]
+        out_trend_list = [out_low.permute(0, 2, 1)]
+
+        for i in range(len(trend_list_reverse) - 1):
+            out_high_res = self.up_sampling_layers[i](out_low)
+            out_high = out_high + out_high_res
+            out_low = out_high
+            if i + 2 <= len(trend_list_reverse) - 1:
+                out_high = trend_list_reverse[i + 2]
+            out_trend_list.append(out_low.permute(0, 2, 1))
+
+        out_trend_list.reverse()
+        return out_trend_list
+
+
+class PastDecomposableMixing(nn.Module):
+    def __init__(
+        self,
+        n_steps,
+        n_pred_steps,
+        d_model,
+        d_ffn,
+        dropout,
+        channel_independence,
+        decomp_method,
+        top_k,
+        moving_avg,
+        downsampling_layers,
+        downsampling_window,
+    ):
+        super().__init__()
+        self.n_steps = n_steps
+        self.n_pred_steps = n_pred_steps
+        self.downsampling_window = downsampling_window
+
+        self.layer_norm = nn.LayerNorm(d_model)
+        self.dropout = nn.Dropout(dropout)
+        self.channel_independence = channel_independence
+
+        if decomp_method == "moving_avg":
+            self.decompsition = SeriesDecompositionBlock(moving_avg)
+        elif decomp_method == "dft_decomp":
+            self.decompsition = DFT_series_decomp(top_k)
+        else:
+            raise ValueError("decompsition is error")
+
+        if channel_independence == 0:
+            self.cross_layer = nn.Sequential(
+                nn.Linear(in_features=d_model, out_features=d_ffn),
+                nn.GELU(),
+                nn.Linear(in_features=d_ffn, out_features=d_model),
+            )
+
+        # Mixing season
+        self.mixing_multi_scale_season = MultiScaleSeasonMixing(
+            n_steps,
+            downsampling_window,
+            downsampling_layers,
+        )
+
+        # Mxing trend
+        self.mixing_multi_scale_trend = MultiScaleTrendMixing(
+            n_steps,
+            downsampling_window,
+            downsampling_layers,
+        )
+
+        self.out_cross_layer = nn.Sequential(
+            nn.Linear(in_features=d_model, out_features=d_ffn),
+            nn.GELU(),
+            nn.Linear(in_features=d_ffn, out_features=d_model),
+        )
+
+    def forward(self, x_list):
+        length_list = []
+        for x in x_list:
+            _, T, _ = x.size()
+            length_list.append(T)
+
+        # Decompose to obtain the season and trend
+        season_list = []
+        trend_list = []
+        for x in x_list:
+            season, trend = self.decompsition(x)
+            if self.channel_independence == 0:
+                season = self.cross_layer(season)
+                trend = self.cross_layer(trend)
+            season_list.append(season.permute(0, 2, 1))
+            trend_list.append(trend.permute(0, 2, 1))
+
+        # bottom-up season mixing
+        out_season_list = self.mixing_multi_scale_season(season_list)
+        # top-down trend mixing
+        out_trend_list = self.mixing_multi_scale_trend(trend_list)
+
+        out_list = []
+        for ori, out_season, out_trend, length in zip(
+            x_list, out_season_list, out_trend_list, length_list
+        ):
+            out = out_season + out_trend
+            if self.channel_independence:
+                out = ori + self.out_cross_layer(out)
+            out_list.append(out[:, :length, :])
+
+        return out_list


Test patch:
diff --git a/tests/imputation/timemixer.py b/tests/imputation/timemixer.py
new file mode 100644
index 00000000..a0735663
--- /dev/null
+++ b/tests/imputation/timemixer.py
@@ -0,0 +1,128 @@
+"""
+Test cases for TimeMixer imputation model.
+"""
+
+# Created by Wenjie Du <wenjay.du@gmail.com>
+# License: BSD-3-Clause
+
+
+import os.path
+import unittest
+
+import numpy as np
+import pytest
+
+from pypots.imputation import TimeMixer
+from pypots.optim import Adam
+from pypots.utils.logging import logger
+from pypots.utils.metrics import calc_mse
+from tests.global_test_config import (
+    DATA,
+    EPOCHS,
+    DEVICE,
+    TRAIN_SET,
+    VAL_SET,
+    TEST_SET,
+    GENERAL_H5_TRAIN_SET_PATH,
+    GENERAL_H5_VAL_SET_PATH,
+    GENERAL_H5_TEST_SET_PATH,
+    RESULT_SAVING_DIR_FOR_IMPUTATION,
+    check_tb_and_model_checkpoints_existence,
+)
+
+
+class TestTimeMixer(unittest.TestCase):
+    logger.info("Running tests for an imputation model TimeMixer...")
+
+    # set the log and model saving path
+    saving_path = os.path.join(RESULT_SAVING_DIR_FOR_IMPUTATION, "TimeMixer")
+    model_save_name = "saved_timemixer_model.pypots"
+
+    # initialize an Adam optimizer
+    optimizer = Adam(lr=0.001, weight_decay=1e-5)
+
+    # initialize a TimeMixer model
+    timemixer = TimeMixer(
+        DATA["n_steps"],
+        DATA["n_features"],
+        n_layers=2,
+        top_k=5,
+        d_model=32,
+        d_ffn=32,
+        dropout=0.1,
+        epochs=EPOCHS,
+        saving_path=saving_path,
+        optimizer=optimizer,
+        device=DEVICE,
+    )
+
+    @pytest.mark.xdist_group(name="imputation-timemixer")
+    def test_0_fit(self):
+        self.timemixer.fit(TRAIN_SET, VAL_SET)
+
+    @pytest.mark.xdist_group(name="imputation-timemixer")
+    def test_1_impute(self):
+        imputation_results = self.timemixer.predict(TEST_SET)
+        assert not np.isnan(
+            imputation_results["imputation"]
+        ).any(), "Output still has missing values after running impute()."
+
+        test_MSE = calc_mse(
+            imputation_results["imputation"],
+            DATA["test_X_ori"],
+            DATA["test_X_indicating_mask"],
+        )
+        logger.info(f"TimeMixer test_MSE: {test_MSE}")
+
+    @pytest.mark.xdist_group(name="imputation-timemixer")
+    def test_2_parameters(self):
+        assert hasattr(self.timemixer, "model") and self.timemixer.model is not None
+
+        assert (
+            hasattr(self.timemixer, "optimizer")
+            and self.timemixer.optimizer is not None
+        )
+
+        assert hasattr(self.timemixer, "best_loss")
+        self.assertNotEqual(self.timemixer.best_loss, float("inf"))
+
+        assert (
+            hasattr(self.timemixer, "best_model_dict")
+            and self.timemixer.best_model_dict is not None
+        )
+
+    @pytest.mark.xdist_group(name="imputation-timemixer")
+    def test_3_saving_path(self):
+        # whether the root saving dir exists, which should be created by save_log_into_tb_file
+        assert os.path.exists(
+            self.saving_path
+        ), f"file {self.saving_path} does not exist"
+
+        # check if the tensorboard file and model checkpoints exist
+        check_tb_and_model_checkpoints_existence(self.timemixer)
+
+        # save the trained model into file, and check if the path exists
+        saved_model_path = os.path.join(self.saving_path, self.model_save_name)
+        self.timemixer.save(saved_model_path)
+
+        # test loading the saved model, not necessary, but need to test
+        self.timemixer.load(saved_model_path)
+
+    @pytest.mark.xdist_group(name="imputation-timemixer")
+    def test_4_lazy_loading(self):
+        self.timemixer.fit(GENERAL_H5_TRAIN_SET_PATH, GENERAL_H5_VAL_SET_PATH)
+        imputation_results = self.timemixer.predict(GENERAL_H5_TEST_SET_PATH)
+        assert not np.isnan(
+            imputation_results["imputation"]
+        ).any(), "Output still has missing values after running impute()."
+
+        test_MSE = calc_mse(
+            imputation_results["imputation"],
+            DATA["test_X_ori"],
+            DATA["test_X_indicating_mask"],
+        )
+        logger.info(f"Lazy-loading TimeMixer test_MSE: {test_MSE}")
+
+
+if __name__ == "__main__":
+    unittest.main()