Tiny CUDA Neural Networks

This is a small, self-contained framework for training and querying neural networks. Most notably, it contains a lightning fast "fully fused" multi-layer perceptron (technical paper), a versatile multiresolution hash encoding (technical paper), as well as support for various other input encodings, losses, and optimizers.

Performance

Fully fused networks vs. TensorFlow v2.5.0 w/ XLA. Measured on 64 (solid line) and 128 (dashed line) neurons wide multi-layer perceptrons on an RTX 3090. Generated by `benchmarks/benchours.cuandbenchmarks/benchtensorflow.pyusingdata/configoneblob.json`._

Usage

Tiny CUDA neural networks have a simple C++/CUDA API:

```cpp

include

// Configure the model nlohmann::json config = { {"loss", { {"otype", "L2"} }}, {"optimizer", { {"otype", "Adam"}, {"learningrate", 1e-3}, }}, {"encoding", { {"otype", "HashGrid"}, {"nlevels", 16}, {"nfeaturesperlevel", 2}, {"log2hashmapsize", 19}, {"baseresolution", 16}, {"perlevelscale", 2.0}, }}, {"network", { {"otype", "FullyFusedMLP"}, {"activation", "ReLU"}, {"outputactivation", "None"}, {"nneurons", 64}, {"nhiddenlayers", 2}, }}, };

using namespace tcnn;

auto model = createfromconfig(ninputdims, noutputdims, config);

// Train the model (batchsize must be a multiple of tcnn::BATCHSIZEGRANULARITY) GPUMatrix trainingbatchinputs(ninputdims, batchsize); GPUMatrix trainingbatchtargets(noutputdims, batch_size);

for (int i = 0; i < ntrainingsteps; ++i) { generatetrainingbatch(&trainingbatchinputs, &trainingbatchtargets); // <-- your code

float loss;
model.trainer->training_step(training_batch_inputs, training_batch_targets, &loss);
std::cout << "iteration=" << i << " loss=" << loss << std::endl;

}

// Use the model GPUMatrix inferenceinputs(ninputdims, batchsize); generateinputs(&inferenceinputs); // <-- your code

GPUMatrix inferenceoutputs(noutputdims, batchsize); model.network->inference(inferenceinputs, inferenceoutputs); ```

Example: learning a 2D image

We provide a sample application where an image function (x,y) -> (R,G,B) is learned. It can be run via sh tiny-cuda-nn$ ./build/mlp_learning_an_image data/images/albert.jpg data/config_hash.json producing an image every couple of training steps. Each 1000 steps should take a bit over 1 second with the default configuration on an RTX 4090.

| 10 steps | 100 steps | 1000 steps | Reference image | |:---:|:---:|:---:|:---:| | | | | |

Requirements

• An NVIDIA GPU; tensor cores increase performance when available. All shown results come from an RTX 3090.
• A C++14 capable compiler. The following choices are recommended and have been tested:
  • Windows: Visual Studio 2019 or 2022
  • Linux: GCC/G++ 8 or higher
• A recent version of CUDA. The following choices are recommended and have been tested:
  • Windows: CUDA 11.5 or higher
  • Linux: CUDA 10.2 or higher
• CMake v3.21 or higher.
• The fully fused MLP component of this framework requires a very large amount of shared memory in its default configuration. It will likely only work on an RTX 3090, an RTX 2080 Ti, or higher-end GPUs. Lower end cards must reduce the n_neurons parameter or use the CutlassMLP (better compatibility but slower) instead.

If you are using Linux, install the following packages sh sudo apt-get install build-essential git

We also recommend installing CUDA in /usr/local/ and adding the CUDA installation to your PATH. For example, if you have CUDA 11.4, add the following to your ~/.bashrc sh export PATH="/usr/local/cuda-11.4/bin:$PATH" export LD_LIBRARY_PATH="/usr/local/cuda-11.4/lib64:$LD_LIBRARY_PATH"

Compilation (Windows & Linux)

Begin by cloning this repository and all its submodules using the following command: sh $ git clone --recursive https://github.com/nvlabs/tiny-cuda-nn $ cd tiny-cuda-nn

Then, use CMake to build the project: (on Windows, this must be in a developer command prompt) sh tiny-cuda-nn$ cmake . -B build -DCMAKE_BUILD_TYPE=RelWithDebInfo tiny-cuda-nn$ cmake --build build --config RelWithDebInfo -j

If compilation fails inexplicably or takes longer than an hour, you might be running out of memory. Try running the above command without -j in that case.

PyTorch extension

tiny-cuda-nn comes with a PyTorch extension that allows using the fast MLPs and input encodings from within a Python context. These bindings can be significantly faster than full Python implementations; in particular for the multiresolution hash encoding.

The overheads of Python/PyTorch can nonetheless be extensive if the batch size is small. For example, with a batch size of 64k, the bundled mlp_learning_an_image example is ~2x slower through PyTorch than native CUDA. With a batch size of 256k and higher (default), the performance is much closer.

Begin by setting up a Python 3.X environment with a recent, CUDA-enabled version of PyTorch. Then, invoke sh pip install git+https://github.com/NVlabs/tiny-cuda-nn/#subdirectory=bindings/torch

Alternatively, if you would like to install from a local clone of tiny-cuda-nn, invoke sh tiny-cuda-nn$ cd bindings/torch tiny-cuda-nn/bindings/torch$ python setup.py install

Upon success, you can use tiny-cuda-nn models as in the following example: ```py import commentjson as json import tinycudann as tcnn import torch

with open("data/config_hash.json") as f: config = json.load(f)

Option 1: efficient Encoding+Network combo.

model = tcnn.NetworkWithInputEncoding( ninputdims, noutputdims, config["encoding"], config["network"] )

Option 2: separate modules. Slower but more flexible.

encoding = tcnn.Encoding(ninputdims, config["encoding"]) network = tcnn.Network(encoding.noutputdims, noutputdims, config["network"]) model = torch.nn.Sequential(encoding, network) ```

See samples/mlp_learning_an_image_pytorch.py for an example.

Components

Following is a summary of the components of this framework. The JSON documentation lists configuration options.

| Networks |   |   | :--- | :---------- | :----- | Fully fused MLP | src/fully_fused_mlp.cu | Lightning fast implementation of small multi-layer perceptrons (MLPs). | CUTLASS MLP | src/cutlass_mlp.cu | MLP based on CUTLASS' GEMM routines. Slower than fully-fused, but handles larger networks and still is reasonably fast.

| Input encodings |   |   | :--- | :---------- | :----- | Composite | include/tiny-cuda-nn/encodings/composite.h | Allows composing multiple encodings. Can be, for example, used to assemble the Neural Radiance Caching encoding [Müller et al. 2021]. | Frequency | include/tiny-cuda-nn/encodings/frequency.h | NeRF's [Mildenhall et al. 2020] positional encoding applied equally to all dimensions. | Grid | include/tiny-cuda-nn/encodings/grid.h | Encoding based on trainable multiresolution grids. Used for Instant Neural Graphics Primitives [Müller et al. 2022]. The grids can be backed by hashtables, dense storage, or tiled storage. | Identity | include/tiny-cuda-nn/encodings/identity.h | Leaves values untouched. | Oneblob | include/tiny-cuda-nn/encodings/oneblob.h | From Neural Importance Sampling [Müller et al. 2019] and Neural Control Variates [Müller et al. 2020]. | SphericalHarmonics | include/tiny-cuda-nn/encodings/spherical_harmonics.h | A frequency-space encoding that is more suitable to direction vectors than component-wise ones. | TriangleWave | include/tiny-cuda-nn/encodings/triangle_wave.h | Low-cost alternative to the NeRF's encoding. Used in Neural Radiance Caching [Müller et al. 2021].

| Losses |   |   | :--- | :---------- | :----- | L1 | include/tiny-cuda-nn/losses/l1.h | Standard L1 loss. | Relative L1 | include/tiny-cuda-nn/losses/l1.h | Relative L1 loss normalized by the network prediction. | MAPE | include/tiny-cuda-nn/losses/mape.h | Mean absolute percentage error (MAPE). The same as Relative L1, but normalized by the target. | SMAPE | include/tiny-cuda-nn/losses/smape.h | Symmetric mean absolute percentage error (SMAPE). The same as Relative L1, but normalized by the mean of the prediction and the target. | L2 | include/tiny-cuda-nn/losses/l2.h | Standard L2 loss. | Relative L2 | include/tiny-cuda-nn/losses/relative_l2.h | Relative L2 loss normalized by the network prediction [Lehtinen et al. 2018]. | Relative L2 Luminance | include/tiny-cuda-nn/losses/relative_l2_luminance.h | Same as above, but normalized by the luminance of the network prediction. Only applicable when network prediction is RGB. Used in Neural Radiance Caching [Müller et al. 2021]. | Cross Entropy | include/tiny-cuda-nn/losses/cross_entropy.h | Standard cross entropy loss. Only applicable when the network prediction is a PDF. | Variance | include/tiny-cuda-nn/losses/variance_is.h | Standard variance loss. Only applicable when the network prediction is a PDF.

| Optimizers |   |   | :--- | :---------- | :----- | Adam | include/tiny-cuda-nn/optimizers/adam.h | Implementation of Adam [Kingma and Ba 2014], generalized to AdaBound [Luo et al. 2019]. | Novograd | include/tiny-cuda-nn/optimizers/lookahead.h | Implementation of Novograd [Ginsburg et al. 2019]. | SGD | include/tiny-cuda-nn/optimizers/sgd.h | Standard stochastic gradient descent (SGD). | Shampoo | include/tiny-cuda-nn/optimizers/shampoo.h | Implementation of the 2nd order Shampoo optimizer [Gupta et al. 2018] with home-grown optimizations as well as those by Anil et al. [2020]. | Average | include/tiny-cuda-nn/optimizers/average.h | Wraps another optimizer and computes a linear average of the weights over the last N iterations. The average is used for inference only (does not feed back into training). | Batched | include/tiny-cuda-nn/optimizers/batched.h | Wraps another optimizer, invoking the nested optimizer once every N steps on the averaged gradient. Has the same effect as increasing the batch size but requires only a constant amount of memory. | | Composite | include/tiny-cuda-nn/optimizers/composite.h | Allows using several optimizers on different parameters. | EMA | include/tiny-cuda-nn/optimizers/average.h | Wraps another optimizer and computes an exponential moving average of the weights. The average is used for inference only (does not feed back into training). | Exponential Decay | include/tiny-cuda-nn/optimizers/exponential_decay.h | Wraps another optimizer and performs piecewise-constant exponential learning-rate decay. | Lookahead | include/tiny-cuda-nn/optimizers/lookahead.h | Wraps another optimizer, implementing the lookahead algorithm [Zhang et al. 2019].

License and Citation

This framework is licensed under the BSD 3-clause license. Please see LICENSE.txt for details.

If you use it in your research, we would appreciate a citation via bibtex @software{tiny-cuda-nn, author = {M\"uller, Thomas}, license = {BSD-3-Clause}, month = {4}, title = {{tiny-cuda-nn}}, url = {https://github.com/NVlabs/tiny-cuda-nn}, version = {1.7}, year = {2021} }

For business inquiries, please visit our website and submit the form: NVIDIA Research Licensing

Publications & Software

Among others, this framework powers the following publications:

Instant Neural Graphics Primitives with a Multiresolution Hash Encoding
Thomas Müller, Alex Evans, Christoph Schied, Alexander Keller
ACM Transactions on Graphics (SIGGRAPH), July 2022
Website / Paper / Code / Video / BibTeX

Extracting Triangular 3D Models, Materials, and Lighting From Images
Jacob Munkberg, Jon Hasselgren, Tianchang Shen, Jun Gao, Wenzheng Chen, Alex Evans, Thomas Müller, Sanja Fidler
CVPR (Oral), June 2022
Website / Paper / Video / BibTeX

Real-time Neural Radiance Caching for Path Tracing
Thomas Müller, Fabrice Rousselle, Jan Novák, Alexander Keller
ACM Transactions on Graphics (SIGGRAPH), August 2021
Paper / GTC talk / Video / Interactive results viewer / BibTeX

As well as the following software:

NerfAcc: A General NeRF Accleration Toolbox
Ruilong Li, Matthew Tancik, Angjoo Kanazawa
https://github.com/KAIR-BAIR/nerfacc

Nerfstudio: A Framework for Neural Radiance Field Development
Matthew Tancik*, Ethan Weber*, Evonne Ng*, Ruilong Li, Brent Yi, Terrance Wang, Alexander Kristoffersen, Jake Austin, Kamyar Salahi, Abhik Ahuja, David McAllister, Angjoo Kanazawa
https://github.com/nerfstudio-project/nerfstudio

Please feel free to make a pull request if your publication or software is not listed.

Acknowledgments

Special thanks go to the NRC authors for helpful discussions and to Nikolaus Binder for providing part of the infrastructure of this framework, as well as for help with utilizing TensorCores from within CUDA.