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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.

168,742 papers · 148 categories

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170339509678 · Jun 202019922001200920172026
48 results for Deep Bayesian

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 ↗

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 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.

Method selects the best deep learner for time-series prediction using Bayesian networks.

problem Selecting the most effective deep learning model for time-series prediction.
method Bayesian network selects deep learners based on input variables and cluster training data.
result Threshold value determines which deep learners predict time-series data robustly.

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.

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 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 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.

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.

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 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.

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.

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.

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 deep ensembles improve prediction accuracy in various settings.

problem Improving prediction accuracy of deep ensembles in out-of-distribution settings.
method Introducing a randomised, untrainable function to each ensemble member, enabling a posterior predictive distribution interpretation.
result Bayesian deep ensembles make more conservative predictions and outperform standard ensembles in various tasks.

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.

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.

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 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.

This paper connects RND, deep ensembles, and Bayesian inference, providing a unified theoretical perspective.

problem Uncertainty quantification in deep learning models.
method Analysis of Random Network Distillation (RND) within the neural tangent kernel framework.
result The uncertainty signal from RND is equivalent to the predictive variance of a deep ensemble and can be made to mirror the centered posterior predictive distribution of Bayesian inference.

Work proposes a new framework to improve uncertainty estimation in deep Bayesian models.

problem Traditional training procedures underestimate uncertainty in NLMs, leading to unreliable predictions.
method Introduces a novel training framework that captures useful predictive uncertainties for out-of-distribution inputs.
result Demonstrates that traditional methods for NLMs significantly underestimate uncertainty and propose a new framework to address this issue.

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.

Proposes a new generalization bound for Bayesian deep nets without strict assumptions.

problem Lack of generalization bounds for Bayesian deep nets without strict assumptions.
method Exploits contractivity of Log-Sobolev inequalities to add a loss-gradient norm term to the generalization bound.
result Introduces a new generalization bound for Bayesian deep nets that avoids strict assumptions.

Study how depth affects inference in deep Bayesian neural networks.

problem Understanding how depth impacts inference in overparameterized linear Bayesian neural networks.
method Interpreting finite deep linear Bayesian neural networks as scale mixtures of Gaussian process predictors.
result Advances analytical understanding of how depth affects inference in a simple class of Bayesian neural networks.

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.

This paper distills Bayesian posterior expectations for deep neural networks.

problem Improving deep neural network performance and uncertainty quantification.
method Develops a framework for distilling expectations from Bayesian posterior distributions using Monte Carlo samples.
result The framework successfully distills posterior predictive distribution and expected entropy.

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.

NeuralSurv models survival analysis with Bayesian uncertainty.

problem Capturing time-varying risk relationships in survival analysis.
method Two-stage data-augmentation scheme, mean-field variational algorithm, coordinate-ascent updates, locally linearized Bayesian neural network.
result Delivers superior calibration compared to state-of-the-art models.

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.

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.

SBMC method improves uncertainty estimation in deep learning models.

problem Improving uncertainty quantification in deep learning models.
method A scalable Bayesian Monte Carlo method using a model and parallel SMC/MCMC algorithm.
result SBMC achieves comparable or better accuracy and improved uncertainty quantification compared to state-of-the-art methods.

We present a new method to approximate posterior probabilities of Bayesian Network using Deep Neural Network. Experiment results on several public Bayesian Network datasets shows that Deep Neural Network is capable of learning joint probability distri- bution of Bayesian Network by learning from a few observation and p…

2017-12-31abs ↗pdf ↗