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Classified as unknown: A novel Bayesian neural network

2023-01-31Unverified0· sign in to hype

Tianbo Yang, Tianshuo Yang

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Abstract

We establish estimations for the parameters of the output distribution for the softmax activation function using the probit function. As an application, we develop a new efficient Bayesian learning algorithm for fully connected neural networks, where training and predictions are performed within the Bayesian inference framework in closed-form. This approach allows sequential learning and requires no computationally expensive gradient calculation and Monte Carlo sampling. Our work generalizes the Bayesian algorithm for a single perceptron for binary classification in H to multi-layer perceptrons for multi-class classification.

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