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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.

168,878 papers · 148 categories

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48 results for BNNs

BNN-DP improves robustness analysis of Bayesian Neural Networks.

problem Ensuring robustness of Bayesian Neural Networks against adversarial attacks.
method Dynamic Programming applied to Bayesian Neural Networks as stochastic dynamical systems.
result BNN-DP provides tighter and more efficient bounds on prediction ranges compared to existing methods.

VQ-BNN speeds up BNN inference for data streams.

problem High computational cost of BNN inference for data streams.
method Approximates BNN inference by predicting NN only once and using temporal exponential smoothing of recent predictions.
result VQ-BNN performs faster than BNNs while estimating comparable results.

This paper analyzes the training dynamics of binary neural networks using information bottleneck.

problem Training binary neural networks is challenging due to discontinuity in activation functions.
method The approach uses the Information Bottleneck principle to analyze BNN training dynamics.
result Training dynamics of BNNs are different from DNNs, with both phases occurring simultaneously.

We prove exact BNN posterior convergence to GP limit and provide sampling methods.

problem Theoretical and empirical challenges in obtaining exact posterior distributions of wide BNNs.
method Theoretical proof and rejection sampling for generating exact samples.
result Exact BNN posterior converges to GP limit as width increases.

Radial BNNs offer a scalable, continuous weight distribution for Bayesian deep learning.

problem Discrete support in Bayesian deep learning methods like MC dropout.
method Radial BNNs with full support over weight-space.
result Radial BNNs outperform discrete-support methods in real-world applications.

New BNN model proves optimal posterior concentration and enables practical inference.

problem Improving generalization and uncertainty quantification in deep neural networks.
method Proposes a new node-sparse BNN model with theoretical guarantees and a novel MCMC algorithm for inference.
result Proves near minimax optimal posterior concentration rate and adaptiveness to true model smoothness.

Bayesian Neural Networks improve credit card default prediction and provide feature importance.

problem Lack of interpretability and uncertainty measures in neural network models for credit risk.
method Developed and compared BNNs trained by Gaussian approximation and Hybrid Monte Carlo.
result BNNs with Automatic Relevance Determination outperform normal BNNs in credit card default prediction.

Quantized BNNs maintain uncertainty estimation quality despite reduced precision.

problem Reduced precision in BNNs due to quantization.
method Quantized BNNs with 32-bit weights and activations compressed to 16-bit integers.
result Uniform quantization does not significantly degrade uncertainty estimation quality.

Bayesian neural networks are vulnerable to adversarial attacks.

problem Adversarial robustness of Bayesian neural networks.
method Examination of adversarial robustness through three tasks: label prediction, adversarial example detection, and semantic shift detection.
result Bayesian neural networks are highly susceptible to adversarial attacks.

Comment on recent paper suggesting adversarially trained BNNs are more robust, finds no strong evidence.

problem Evaluating the robustness of adversarially trained Bayesian Neural Networks (BNNs) against adversarial attacks.
method Developed a new type of adversarial attack to incorporate the stochastic nature of BNNs, used to evaluate robustness.
result No strong evidence of higher robustness of adversarially trained BNNs.

A new framework for lightweight BNNs learns heteroscedastic uncertainties efficiently.

problem Learning heteroscedastic uncertainties from BNNs for lightweight networks.
method Embedding heteroscedastic variances into BNN parameters and using moment propagation for inference.
result Improves predictive performance for lightweight BNNs without increasing parameter count.

Empirical study compares finite- and infinite-width BNNs, revealing performance differences under model mismatch.

problem Comparing BNNs with different widths due to conflicting model properties and inference intractability.
method Empirical comparison of finite- and infinite-width BNNs, analyzing performance under model mismatch.
result Increasing width can hurt BNN performance when the model is mis-specified, and finite-width BNNs generalize better under model mismatch.

We introduce a probabilistic robustness measure for Bayesian Neural Networks (BNNs), defined as the probability that, given a test point, there exists a point within a bounded set such that the BNN prediction differs between the two. Such a measure can be used, for instance, to quantify the probability of the existence…

2019-03-05abs ↗pdf ↗

Bayesian neural network (BNN) priors are defined in parameter space, making it hard to encode prior knowledge expressed in function space. We formulate a prior that incorporates functional constraints about what the output can or cannot be in regions of the input space. Output-Constrained BNNs (OC-BNN) represent an int…

2019-05-15abs ↗pdf ↗

New theory for BNNs with Gaussian priors achieves optimal posterior concentration rates.

problem Lack of theoretical results for BNNs with Gaussian priors.
method New approximation theory for non-sparse DNNs with bounded parameters.
result BNNs with non-sparse general priors can achieve near-minimax optimal posterior concentration rates.

Efficient BNNs learn latent distributions for robust uncertainty quantification.

problem Improving robustness and uncertainty of deep neural networks.
method LP-BNN uses VAEs to learn latent distributions of BNN parameters, enabling efficient ensembles.
result LP-BNN achieves competitive results in image classification, semantic segmentation, and out-of-distribution detection.

Deep ensembles outperform deep ensembles of Bayesian neural networks on in-distribution data.

problem Improving model calibration and uncertainty quantification in Bayesian Neural Networks.
method Systematic investigation of deep ensembles of Bayesian Neural Networks across various datasets and architectures.
result Deep ensembles consistently outperform deep ensembles of Bayesian neural networks on in-distribution data.

Global sensitivity analysis improves BNN hyperparameter selection for accurate uncertainty quantification.

problem Difficulties in obtaining accurate uncertainty quantification with Bayesian Neural Networks (BNNs).
method Global sensitivity analysis of BNN performance under varying hyperparameter settings.
result Many hyperparameters interact to affect both predictive accuracy and uncertainty quantification.

New method uses unlabelled data to improve Bayesian Neural Networks.

problem Lack of ability to use unlabelled data in conventional Bayesian Neural Networks.
method Self-supervised Bayesian Neural Networks using contrastive pretraining and variational lower bound optimization.
result Prior predictive distributions capture problem semantics better and improve predictive performance.

Paper proposes efficient BNN inference flow to reduce computation and memory costs.

problem High computation complexity in Bayesian Neural Networks (BNNs) limits deployment in power-constrained systems.
method Feature decomposition and memorization strategy to reduce computations and a memory-friendly computing framework to reduce memory overhead.
result Reduces computation by about half and energy consumption by 73% with 14% area overhead.

Bayesian neural networks (BNNs) allow us to reason about uncertainty in a principled way. Stochastic Gradient Langevin Dynamics (SGLD) enables efficient BNN learning by drawing samples from the BNN posterior using mini-batches. However, SGLD and its extensions require storage of many copies of the model parameters, a p…

2018-06-27abs ↗pdf ↗

Wide Bayesian neural networks have a simpler weight posterior, leading to faster MCMC sampling.

problem Sampling from the posterior of wide Bayesian neural networks is challenging.
method Introducing repriorisation, a data-dependent reparameterisation that simplifies the posterior distribution.
result The repriorisation map accelerates MCMC sampling, achieving up to 50x higher effective sample size.

Bayesian ReLU nets fix asymptotic overconfidence with infinite features.

problem Bayesian ReLU nets can be asymptotically overconfident far from training data.
method Extend finite ReLU BNNs with infinite ReLU features via a Gaussian process.
result The resulting model is asymptotically maximally uncertain far from the data.

Improved SDE-BNN model reduces NFEs and accelerates convergence.

problem High computational cost and convergence instability in SDE-BNNs.
method Nesterov's Accelerated Gradient (NAG) method integrated into SDE-BNN framework.
result Significantly reduced number of function evaluations (NFEs) and improved predictive accuracy.

Bayesian optimization uses BNNs as efficient surrogate models for expensive function evaluations.

problem Optimizing expensive objective functions using Gaussian process surrogates.
method Study of Bayesian neural networks (BNNs) as alternatives to standard Gaussian process (GP) surrogates for optimization.
result Infinite-width BNNs are particularly promising, especially in high dimensions.

Bayesian neural networks' performance varies with prior choice, affecting their ability to identify unknowns.

problem The impact of prior choice on Bayesian neural networks' ability to identify unknowns.
method Evaluation of different prior distributions on classification tasks using BNNs and NNs with Monte Carlo dropout.
result Prior choice significantly impacts BNNs' ability to identify unknowns, affecting true and false positive rates.

ABNN converts pre-trained DNNs into BNNs for reliable uncertainty quantification.

problem Uncertainty quantification in deep neural networks (DNNs) is challenging and critical for real-world applications.
method Adaptable Bayesian Neural Network (ABNN) that transforms pre-trained DNNs into BNNs with minimal overhead.
result ABNN achieves state-of-the-art performance in image classification and semantic segmentation tasks.

Bayesian neural networks with Mercer priors for interpretable uncertainty quantification.

problem Uncertainty quantification in neural networks, especially for complex input-to-output mappings.
method Introducing Mercer priors for BNNs, which approximate a specified GP and are scalable.
result BNNs with Mercer priors can approximate the uncertainty of a specified GP, making them interpretable and scalable.

Bayesian neural networks integrate uncertainty into neural networks for improved performance.

problem Overconfidence, lack of interpretability, and adversarial attacks in neural networks.
method Integrates Bayesian inference into neural networks to address limitations.
result BNNs improve model performance and provide uncertainty estimates.

Improved covariate shift handling with node-based Bayesian neural networks.

problem Improving generalization under covariate shift in neural networks.
method Introduced node-based Bayesian neural networks that learn latent noise variables to represent input corruptions.
result Node-based BNNs perform well under covariate shift due to input perturbations, improving uncertainty estimation and robustness.

SSVI efficiently trains sparse Bayesian neural networks with minimal compression and performance loss.

problem Efficiently training Bayesian neural networks with uncertainty quantification.
method SSVI optimizes a sparse subspace basis selection and its parameters alternately, guided by weight distribution statistics.
result SSVI achieves significant compression (10-20x model size reduction) with minimal performance drop (under 3%) and FLOPs reduction (up to 20x) compared to dense Variational Inference.

Bayesian neural networks approximate Student-t processes in the infinite-width limit.

problem Modeling uncertainty in neural networks with greater flexibility.
method Extending asymptotic properties of Gaussian processes to Student-t processes in the infinite-width limit of BNNs.
result Posterior BNNs converge to Student-t processes in the infinite-width limit.