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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,051 papers · 148 categories

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14 results for Bayes-by-Backprop

Hidden Markov Neural Networks balance adaptation and forgetting in time-series data.

problem Balancing adaptation to new data and forgetting outdated information in time-series forecasting.
method Modeling weights as hidden states of a Hidden Markov model, using a filtering algorithm for learning a variational approximation of the posterior distribution over weights, and employing sequential Bayes by Backprop with variational DropConnect for regularization.
result Achieves strong predictive performance and effective uncertainty quantification on various tasks.

Bayesian active learning improves natural language processing models.

problem Lack of model comparison in AL for NLP tasks.
method Large-scale empirical study of Bayesian active learning with Dropout and Bayes-by-Backprop uncertainty estimates.
result Bayesian active learning by disagreement significantly improves NLP model performance.

Paper derives CLT for Bayesian neural networks trained with variational inference.

problem Analyzing the fluctuation behavior of Bayesian neural networks trained with different variational inference schemes.
method Rigorous derivation of CLT for three variational inference schemes: idealized, Bayes-by-Backprop, and Minimal VI.
result Minimal VI scheme has larger variances but is more computationally efficient.

We introduce a new, efficient, principled and backpropagation-compatible algorithm for learning a probability distribution on the weights of a neural network, called Bayes by Backprop. It regularises the weights by minimising a compression cost, known as the variational free energy or the expected lower bound on the ma…

2015-05-20abs ↗pdf ↗

Bayesian neural networks predict stress fields and uncertainty in materials.

problem Uncertainty in stress field predictions for complex materials.
method Modified Bayesian U-net architecture with three inference algorithms.
result High accuracy predictions and interpretable uncertainty estimates.

Modern neural networks tend to be overconfident on unseen, noisy or incorrectly labelled data and do not produce meaningful uncertainty measures. Bayesian deep learning aims to address this shortcoming with variational approximations (such as Bayes by Backprop or Multiplicative Normalising Flows). However, current appr…

2017-11-03abs ↗pdf ↗

The paper analyzes Bayesian neural networks trained with VI, proving a law of large numbers for different schemes.

problem Training Bayesian neural networks with variational inference.
method Analyzes three training schemes: exact estimation, Bayes by Backprop, and Minimal VI.
result All training schemes converge to the same mean-field limit.

Bayesian CNN with Variational Inference improves uncertainty handling in neural networks.

problem Uncertainty in neural networks, especially in regions with little data.
method Bayesian Convolutional Neural Network (BayesCNN) using Variational Inference.
result BayesCNN achieves equivalent performance to frequentist inference and incorporates uncertainty measurements.