Modular Loss Experiments Code

The Modular Loss function interpolates between training an ensemble of neural networks independently and training a single neural network with a branching architecture. It can be used to study the effect of joint training of neural networks.

The code here reproduces the results of arxiv.org/abs/1902.04422, as part of the EPSRC LAMBDA project (EP/N035127/1). The three scripts:

• run_fashion_mnist_mlp_experiment.sh
• run_cifar_10_conv_experiment.sh
• run_cifar_100_densenet_experiment.sh

will train the ensembles described in the paper with the same hyperparameters.

Coupled Ensembles Loss Equivalence Demonstration

In the paper appendix, we show that two of the `coupled training' loss functions in the paper Coupled Ensembles of Neural Networks are actually equivalent to each other and to independent training. There is some code in the directory coupled_ensembles_loss_equivalence to demonstrate this numerically/empirically.

Simulation of Dropping Modules

One effect of the hyper-parameter of the Modular Loss which governs inter-network interactions is a change in the behaviour when only a subset of modules are used for inference. Full joint training causes a large degradation in performance when a subset of the modules are used, but this can be easily corrected by using the Modular Loss with the appropriate hyper-paramter. Code to simulate accuracy when dropping modules stochastically for pre-trained ensembles is provided in robustness_simulation.py.