'\n",
"display.HTML(html)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Error module\n",
"\n",
"Slayer provides prebuilt loss modules: `slayer.loss.{SpikeTime, SpikeRate, SpikeMax}`.\n",
"* `SpikeTime`: precise spike time based loss when target spike train is known.\n",
"* `SpikeRate`: spike rate based loss when desired rate of the output neuron is known.\n",
"* `SpikeMax`: negative log likelihood losses for classification without any rate tuning.\n",
"\n",
"Since the target spike train $\\hat{\\boldsymbol s}(t)$ is known for this problem, we use `SpikeTime` loss here. It uses _van Rossum_ like spike train distance metric. The actual and target spike trains are filtered using a FIR filter and the norm of the timeseries is the loss metric.\n",
"\n",
"$$L = \\frac{1}{2T} \\int_T \\left(h_\\text{FIR} * ({\\boldsymbol s} - \\hat{\\boldsymbol s})\\right)(t)^\\top{\\bf 1}\\,\\text dt $$\n",
"\n",
"* `time_constant`: time constant of the FIR filter.\n",
"* `filter_order`: the order of FIR filter. Exponential decay is first order filter."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"error = slayer.loss.SpikeTime(time_constant=2, filter_order=2).to(device)\n",
"\n",
"# the followng portion just illustrates the SpikeTime loss calculation. \n",
"# IT IS NOT NEEDED IN PRACTICE\n",
"input, target = training_set[0]\n",
"output = net(input.unsqueeze(dim=0).to(device))[0]\n",
"# just considering first neuron for illustration\n",
"output_trace = error.filter(output[0].to(device)).flatten().cpu().data.numpy()\n",
"target_trace = error.filter(target[0].to(device)).flatten().cpu().data.numpy()\n",
"fig, ax = plt.subplots(2, 1, figsize=(15, 3), sharex=True)\n",
"ax[0].plot(output_trace, label='output trace')\n",
"ax[0].plot(target_trace, label='target trace')\n",
"ax[1].plot(output_trace - target_trace, label='error trace')\n",
"ax[0].set_ylabel('trace')\n",
"ax[1].set_ylabel('trace')\n",
"ax[1].set_xlabel('time [ms]')\n",
"for a in ax: a.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Stats and Assistants\n",
"\n",
"Slayer provides `slayer.utils.LearningStats` as a simple learning statistics logger for training, validation and testing.\n",
"\n",
"In addtion, `slayer.utils.Assistant` module wraps common training validation and testing routine which help simplify the training routine."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"stats = slayer.utils.LearningStats()\n",
"assistant = slayer.utils.Assistant(net, error, optimizer, stats)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Training Loop\n",
"\n",
"Training loop mainly consists of looping over epochs and calling `assistant.train` utility to train.\n",
"\n",
"* `stats` can be used in print statement to get formatted stats printout.\n",
"* `stats.training.best_loss` can be used to find out if the current iteration has the best loss. Here, we use it to save the best model.\n",
"* `stats.update()` updates the stats collected for the epoch.\n",
"* `stats.save` saves the stats in files."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[Epoch 4999/5000] Train loss = 46478.09375 (min = 44918.71875))"
]
}
],
"source": [
"epochs = 5000\n",
"\n",
"for epoch in range(epochs):\n",
" for i, (input, target) in enumerate(train_loader): # training loop\n",
" output = assistant.train(input, target)\n",
" print(f'\\r[Epoch {epoch:3d}/{epochs}] {stats}', end='')\n",
" \n",
" if stats.training.best_loss:\n",
" torch.save(net.state_dict(), trained_folder + '/network.pt')\n",
" stats.update()\n",
" stats.save(trained_folder + '/')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Plot the learning curves\n",
"\n",
"Plotting the learning curves is as easy as calling `stats.plot()`."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
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"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"stats.plot(figsize=(15, 5))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Export the best model\n",
"\n",
"Load the best model during training and export it as hdf5 network. It is supported by `lava.lib.dl.netx` to automatically load the network as a lava process."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"net.load_state_dict(torch.load(trained_folder + '/network.pt'))\n",
"net.export_hdf5(trained_folder + '/network.net')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Visualize the network output\n",
"\n",
"Here, we will use `slayer.io.tensor_to_event` method to convert the torch output spike tensor into `slayer.io.Event` object and visualize the input and output event."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"