diff --git a/README.md b/README.md index cb6c401..024624c 100644 --- a/README.md +++ b/README.md @@ -1,5 +1,8 @@ # smalldiffusion +[![Tutorial blog post][blog-img]][blog-url] +[![Paper link][arxiv-img]][arxiv-url] +[![Pypi project][pypi-img]][pypi-url] [![Build Status][build-img]][build-url] A lightweight diffusion library for training and sampling from diffusion @@ -7,7 +10,7 @@ models. It is built for easy experimentation when training new models and developing new samplers, supporting minimal toy models to state-of-the-art pretrained models. The [core of this library][diffusion-py] for diffusion training and sampling is implemented in less than 100 lines of very readable -pytorch code. To install from [pypi](https://pypi.org/project/smalldiffusion/):: +pytorch code. To install from [pypi][pypi-url]: ``` pip install smalldiffusion @@ -25,10 +28,10 @@ from smalldiffusion import Swissroll, TimeInputMLP, ScheduleLogLinear, training_ dataset = Swissroll(np.pi/2, 5*np.pi, 100) loader = DataLoader(dataset, batch_size=2048) model = TimeInputMLP(hidden_dims=(16,128,128,128,128,16)) -schedule = ScheduleLogLinear(N=200) -trainer = training_loop(loader, model, schedule, epochs=10000) +schedule = ScheduleLogLinear(N=200, sigma_min=0.005, sigma_max=10) +trainer = training_loop(loader, model, schedule, epochs=15000) losses = [ns.loss.item() for ns in trainer] -*xt, x0 = samples(model, schedule.sample_sigmas(20)) +*xt, x0 = samples(model, schedule.sample_sigmas(20), gam=2) ``` Results on various toy datasets: @@ -87,7 +90,7 @@ few examples on tweaking the parameter `gam`: The core of smalldiffusion depends on the interaction between `data`, `model` and `schedule` objects. Here we give a specification of these objects. For a detailed introduction to diffusion models and the notation used in the code, see -the [accompanying tutorial](https://www.chenyang.co/diffusion.html). +the [accompanying tutorial][blog-url]. ### Data For training diffusion models, smalldiffusion supports pytorch [`Datasets` and @@ -164,11 +167,11 @@ object. The generator will yield a sequence of `xt`s produced during sampling. The sampling loop generalizes most commonly-used samplers: - For DDPM [[Ho et. al. ]](https://arxiv.org/abs/2006.11239), use `gam=1, mu=0.5`. - For DDIM [[Song et. al. ]](https://arxiv.org/abs/2010.02502), use `gam=1, mu=0`. - - For accelerated sampling [[Permenter and Yuan]](https://arxiv.org/abs/2306.04848), use `gam=2`. + - For accelerated sampling [[Permenter and Yuan]][arxiv-url], use `gam=2`. For more details on how these sampling algorithms can be simplified, generalized and implemented in only 5 lines of code, see Appendix A of [[Permenter and -Yuan]](https://arxiv.org/abs/2306.04848). +Yuan]][arxiv-url]. [diffusion-py]: https://github.com/yuanchenyang/smalldiffusion/blob/main/src/smalldiffusion/diffusion.py @@ -177,3 +180,9 @@ Yuan]](https://arxiv.org/abs/2306.04848). [stablediffusion]: https://github.com/yuanchenyang/smalldiffusion/blob/main/examples/stablediffusion.py [build-img]: https://github.com/yuanchenyang/smalldiffusion/workflows/CI/badge.svg [build-url]: https://github.com/yuanchenyang/smalldiffusion/actions?query=workflow%3ACI +[pypi-img]: https://img.shields.io/badge/pypi-blue +[pypi-url]: https://pypi.org/project/smalldiffusion/ +[blog-img]: https://img.shields.io/badge/Tutorial-blogpost-blue +[blog-url]: https://www.chenyang.co/diffusion.html +[arxiv-img]: https://img.shields.io/badge/Paper-arxiv-blue +[arxiv-url]: https://arxiv.org/abs/2306.04848 diff --git a/examples/toyexample.ipynb b/examples/toyexample.ipynb index 99a5e5e..261bd66 100644 --- a/examples/toyexample.ipynb +++ b/examples/toyexample.ipynb @@ -90,7 +90,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 14, "id": "c28f43a5-ca35-47b0-8fca-f517bd127172", "metadata": { "collapsed": false, @@ -101,7 +101,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -113,7 +113,8 @@ "source": [ "schedule = ScheduleLogLinear(N=200, sigma_min=0.01, sigma_max=10)\n", "plt.plot(schedule.sigmas)\n", - "plt.ylabel('$\\sigma$')\n", + "plt.xlabel('$t$')\n", + "plt.ylabel('$\\sigma_t$')\n", "plt.yscale('log')" ] }, @@ -132,7 +133,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 15, "id": "607ac28d-3021-4831-a2af-86028a55795d", "metadata": { "collapsed": false, @@ -143,7 +144,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -154,7 +155,11 @@ ], "source": [ "from smalldiffusion.model import get_sigma_embeds\n", - "plt.plot(get_sigma_embeds(len(schedule), schedule.sigmas))\n", + "sx, sy = get_sigma_embeds(len(schedule), schedule.sigmas).T\n", + "plt.plot(sx, label='$\\sin(\\log(\\sigma_t)/2)$')\n", + "plt.plot(sy, label='$\\cos(\\log(\\sigma_t)/2)$')\n", + "plt.xlabel('$t$')\n", + "plt.legend()\n", "plt.show()" ] }, @@ -333,7 +338,7 @@ "pygments_lexer": "ipython3", "version": "3.11.5" }, - "name": "ToyExample.ipynb" + "name": "toyexample.ipynb" }, "nbformat": 4, "nbformat_minor": 5