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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.

168,932 papers · 148 categories

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4188361,2541,672 · Jun 202019922001200920172026
48 results for deep Bayesian learning

Bayesian methods enhance deep learning models by improving reliability and uncertainty.

problem Improving reliability and uncertainty awareness in deep learning models.
method Approximate Bayesian inference techniques, including SG-MCMC and VI, applied to deep learning models.
result Enhanced posterior inference for deep learning models, particularly in neural networks and generative models.

In this paper we introduce ZhuSuan, a python probabilistic programming library for Bayesian deep learning, which conjoins the complimentary advantages of Bayesian methods and deep learning. ZhuSuan is built upon Tensorflow. Unlike existing deep learning libraries, which are mainly designed for deterministic neural netw…

2017-09-18abs ↗pdf ↗

Bayesian approach improves uncertainty in deep learning models.

problem Uncertainty quantification in deep learning models.
method Bayesian point of view, Gaussian approximability, semi-parametric Bernstein-von Mises theorems.
result Bayesian credible regions have valid frequentist coverage, providing theoretical justification for deep learning.

This paper improves deep learning by integrating Bayesian inference into network structure learning.

problem Bayesian inference in high-dimensional, over-parameterized neural networks.
method Developed an efficient stochastic variational inference approach to learn both network structure and weights.
result Empirically, the method exhibits competitive predictive performance and preserves Bayesian benefits.

Bayesian deep learning made practical with variational inference.

problem Impracticality of Bayesian methods in deep learning.
method Natural-gradient variational inference with techniques like batch normalisation, data augmentation, and distributed training.
result Achieves similar performance to Adam optimiser with fewer epochs, preserving Bayesian benefits.

Study improves theoretical understanding of Bayesian deep learning for classification tasks.

problem Theoretical gap in understanding Bayesian approaches in deep learning for classification.
method PAC-Bayes bounds techniques and Spike-and-Slab priors for sparse deep learning.
result Established non-asymptotic results for prediction error, achieving minimax optimal rates.

While perception tasks such as visual object recognition and text understanding play an important role in human intelligence, the subsequent tasks that involve inference, reasoning and planning require an even higher level of intelligence. The past few years have seen major advances in many perception tasks using deep …

2016-08-24abs ↗pdf ↗

Bayesian regularizations are explicitly implemented in CNNs, improving deep learning generalization.

problem Improving generalization in deep learning models.
method Introduced a novel probabilistic representation for CNN hidden layers and demonstrated their Bayesian nature.
result CNNs have explicitly Bayesian regularizations based on Bayesian regularization theory.

Bayesian sparsification reduces deep neural network complexity.

problem Complexity of deep neural networks limits their performance.
method Combines Bayesian shrinkage priors with stochastic variational inference.
result Bayesian model reduction (BMR) is a more efficient alternative for pruning model weights.

A comprehensive artificial intelligence system needs to not only perceive the environment with different `senses' (e.g., seeing and hearing) but also infer the world's conditional (or even causal) relations and corresponding uncertainty. The past decade has seen major advances in many perception tasks such as visual ob…

2016-04-06abs ↗pdf ↗

Bayesian deep learning improves deep learning's capabilities across diverse settings.

problem Overlooked metrics, tasks, and data types in deep learning.
method Revisits strengths of Bayesian deep learning and addresses challenges.
result Bayesian deep learning can elevate deep learning's capabilities across diverse settings.

Bayesian Deep Learning tackles inverse problems with neural networks and approximate computations.

problem Solving inverse problems with indirect measurements and uncertainties.
method Bayesian Deep Learning, using neural networks and approximate computations.
result Effective solutions for inverse problems using Bayesian Deep Learning.

Combining Bayesian deep learning and split conformal prediction affects out-of-distribution coverage.

problem Improving out-of-distribution coverage in multiclass image classification.
method Combining Bayesian deep learning with split conformal prediction methods.
result Combining methods can reduce out-of-distribution coverage in some cases.

URSABench benchmarks Bayesian methods for deep learning models.

problem Scalability issues in Bayesian inference for deep learning.
method Open-source benchmark suite for assessing approximate Bayesian inference methods.
result Initial results show promise for addressing uncertainty and robustness in deep learning.

sBayFDNN bridges deep learning and functional data analysis for complex, structured data.

problem Challenges in functional data analysis, especially for complex, continuously structured data.
method Sparse Bayesian functional deep neural network (sBayFDNN) that learns adaptive functional embeddings and interpretable region selection.
result First theoretical guarantees for a Bayesian deep functional model, ensuring reliability and statistical rigor.

Unified theory linking Bayesian and ensemble methods in deep learning.

problem Uncertainty quantification in deep learning.
method Reformulating optimisation as convex optimisation in probability measures, studying Wasserstein gradient flows.
result Unified theory explaining success of deep ensembles over variational inference.

Bayesian deep learning tackles uncertainty in high-dimensional systems.

problem Uncertainty quantification in high-dimensional stochastic partial differential equations.
method Bayesian neural network (BNN) and Hamiltonian Monte Carlo (HMC) for efficient sampling of posterior distributions.
result The method efficiently handles high-dimensional problems with almost independent computational cost.

Bayesian deep learning improves neural network accuracy and generalization.

problem Improving accuracy and calibration of deep neural networks.
method Bayesian marginalization and deep ensembles to approximate marginalization, and tempering for calibrating predictive distributions.
result Bayesian approaches improve deep neural networks' accuracy and generalization.

Bayesian deep learning for graphs improves graph classification and prediction tasks.

problem Graph classification reproducibility issues and lack of uncertainty quantification.
method Developed a Bayesian Deep Learning framework for graph learning, considering discrete and continuous edge features.
result Produces unsupervised embeddings for graph classification tasks reaching state-of-the-art performance.

The paper simplifies Bayesian deep learning by reducing high-dimensional parameter space to lower dimensions.

problem Scaling Bayesian inference to deep neural networks is challenging due to high dimensionality.
method Construct low-dimensional subspaces using SGD trajectories and apply elliptical slice sampling and variational inference.
result Bayesian model averaging over induced posterior in subspaces produces accurate predictions and well-calibrated uncertainty.

Bayes posterior yields worse predictions than simpler methods in deep neural networks.

problem Understanding and improving predictive performance in Bayesian deep learning.
method Careful MCMC sampling and evaluation of cold posteriors.
result Cold posteriors yield significantly better predictive performance than the true Bayes posterior.

Bayesian Neural Networks improve uncertainty estimation in deep learning.

problem Lack of robustness and sensitivity to out-of-distribution samples in DNNs.
method Empirical evaluation of Bayesian Neural Networks against point estimate DNNs.
result Bayesian Neural Networks provide better uncertainty quantification and performance.

Bayesian Predictive Coding improves deep learning uncertainty quantification.

problem Limitations of maximum a posteriori and maximum likelihood estimates in predictive coding.
method Developed Bayesian Predictive Coding (BPC) that estimates a posterior distribution over network parameters.
result BPC offers comparable uncertainty quantification to existing methods in Bayesian deep learning and improves convergence properties.

Bayesian deep learning predicts uncertainty in EHRs for better healthcare decisions.

problem Lack of interpretability and trustworthiness in deep learning models for EHRs.
method Proposes a Bayesian Neural Network (BNN) model to predict uncertainty in EHRs.
result High uncertainty instances harm model performance; distributions reveal patients for timely intervention.

New method improves uncertainty estimation in Bayesian deep learning models.

problem Underestimation of predictive uncertainty in Neural Linear Models (NLMs).
method Proposes a novel training method to capture useful predictive uncertainties and incorporate domain knowledge.
result Traditional training procedures for NLMs can drastically underestimate uncertainty in data-scarce regions.

RETINA Benchmark evaluates Bayesian deep learning on diabetic retinopathy detection.

problem Reliable uncertainty quantification for deep learning models in medical applications.
method Design and evaluation of a real-world diabetic retinopathy dataset and tasks.
result Benchmarking of Bayesian deep learning methods on diabetic retinopathy detection tasks.

Bayesian free energy remains bounded for deep ReLU networks in overparametrized cases.

problem Understanding the generalization performance of deep ReLU neural networks.
method Analyzes Bayesian free energy in overparametrized deep ReLU neural networks.
result Bayesian free energy is bounded even in overparametrized deep ReLU networks.

This work simplifies Bayesian inference for neural networks by identifying influential parameter directions.

problem High computational complexity in Bayesian inference for neural networks due to high-dimensional parameter space.
method Constructing an active subspace of influential parameter directions to reduce dimensionality.
result Effective and scalable Bayesian inference achieved via reduced active subspace.

INP accelerates stochastic simulations using deep Bayesian active learning.

problem Computational expense of stochastic simulations at fine-grained resolution.
method Interactive Neural Process (INP) framework combining spatiotemporal surrogate model and active learning acquisition function.
result STNP outperforms baselines in accelerating stochastic simulations and LIG achieves state-of-the-art for Bayesian active learning.

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.

Study on Bayesian deep linear networks with multiple outputs and convolutional layers.

problem Characterize feature learning in finite-width Bayesian deep linear networks.
method Exact and analytical formulas for joint and posterior distributions, using large deviation theory.
result Quantitative description of feature learning in infinite-width regime.