We use a neural network that takes a coordinate (x, y) and output the corresponding RGB value to generate an image.
With different random hyperparameters, the network generates images of large style variance.
The image is generated using a single-path feed-forward network with only fully-connected layers and batch-normalization, flavored with various nonlinearities and initialized with gaussian random weights.
The key to generate these intriguing images is the use of random nonlinearities from a large nonlinearity pool at each layer, especially those discontinuous functions (like sign) or functions with large gradient near some point (e.g, log(abs(x) + eps)).
Here are the nonlinearities we've used so far:
NONLIN_TABLE = dict(
relu=T.nnet.relu,
tanh=T.tanh,
abs_tanh=lambda x: abs(T.tanh(x)),
sigmoid=T.nnet.sigmoid,
softplus=T.nnet.softplus,
sin=T.sin,
cos=T.cos,
sgn=T.sgn,
sort=lambda x: T.sort(x, axis=1),
abs=abs,
log_abs=lambda x: T.log(abs(x) + eps), # this is awesome
log_abs_p1=lambda x: T.log(abs(x) + 1),
log_relu=lambda x: T.log(T.nnet.relu(x) + eps),
log_square=lambda x: T.log(x**2 + eps), # just a scalar
xlogx_abs=lambda x: T.xlogx.xlogx(abs(x) + eps),
xlogx_abs_p1=lambda x: T.xlogx.xlogx(abs(x) + 1),
xlogx_relu=lambda x: T.xlogx.xlogx(T.nnet.relu(x) + eps),
xlogx_relu_p1=lambda x: T.xlogx.xlogx(T.nnet.relu(x) + 1),
xlogx_square=lambda x: T.xlogx.xlogx(x**2 + eps),
softmax=T.nnet.softmax,
logsoftmax=T.nnet.logsoftmax,
hard_sigmoid=T.nnet.hard_sigmoid,
identity=lambda x: x,
square=lambda x: x**2
)See https://github.com/zxytim/neural-painter/blob/master/neural_painter.py for implementation. The code is based on theano.
./neural_painter.py --image_size 800x800 --hidden_size 100 --nr_hidden 4 --nonlin random_every_time --nr_channel 3 --output_nonlin identity --coord_bias --seed 42 --output 42.png- Npainter (Neural Painter in browser, using RNN, by rupeshs)
- Wikipedia page for Compositional pattern-producing network
- CPPN in Tensorflow
- Image regression from karpathy:
- Generating Abstract Patterns with TensorFlow:
- High resolution MNIST generator (CPPN + GAN/VAE)
We are researchers from Megvii (http://www.megvii.com), a Beijing based computer vision startup. We are booming and yearning for great talents like you!
If you are interested or want to know more, send us your CV or anything you'd like to know to zxy at megvii dot com.