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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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102205307409 · Jun 202019922001200920182026
48 results for scalable Bayesian inference

The paper develops scalable variational inference for Bayesian neural networks under model and parameter uncertainty.

problem Combining structural and parameter uncertainties in scalable Bayesian neural networks.
method Adapted variational inference with reparametrization for model space constraints.
result Comparable accuracy with sparse inference compared to ordinary BNNs.

We develop a scalable method for Bayesian neural networks with stochastic differential equations.

problem Uncertainty quantification in deep neural networks.
method Gradient-based stochastic variational inference in continuous-depth Bayesian neural networks.
result Gradient estimator with zero variance as the approximation improves.

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.

Explosive growth in data and availability of cheap computing resources have sparked increasing interest in Big learning, an emerging subfield that studies scalable machine learning algorithms, systems, and applications with Big Data. Bayesian methods represent one important class of statistic methods for machine learni…

2014-11-24abs ↗pdf ↗

Bayesian inference engines improve density estimation accuracy and scalability.

problem Constructing accurate and scalable probability density functions.
method Bayesian inference engines (no-U-turn sampling and expectation propagation) with binning strategy.
result Density estimates have excellent comparative performance and scale well to large sample sizes.

Bayesian Hierarchical Invariant Prediction refines ICP for better scalability and prior integration.

problem Improving computational scalability and invariance testing for causal inference.
method Bayesian Hierarchical structure to test invariance under heterogeneous data.
result Demonstrated improved scalability and potential as an alternative to ICP.

Scalable model checking for stochastic systems using Gaussian Processes and Bayesian Neural Networks.

problem Efficiently verifying properties of stochastic systems with high-dimensional parameter spaces.
method Stochastic Variational Smoothed Model Checking (SV-smMC) using Gaussian Processes and Bayesian Neural Networks.
result SV-smMC scales to larger datasets and enables application to high-dimensional parameter spaces.

Develops a flexible deep autoencoding topic model with scalable hybrid Bayesian inference.

problem Flexible and interpretable document analysis models.
method DATM with hybrid Bayesian inference, including topic-layer-adaptive stochastic gradient Riemannian MCMC and Weibull variational encoder.
result Demonstrates scalability and efficacy on big corpora in unsupervised and supervised learning tasks.

New method calibrates LLMs for safety-critical tasks with scalable Bayesian inference.

problem Overconfidence in LLMs after fine-tuning for specific tasks.
method Orthogonalized Low-Rank Adapters (PoLAR) with variational Bayesian inference.
result Scalable and well-calibrated uncertainty estimation for LLMs.

A new method improves Bayesian deep learning by balancing scalability and accuracy.

problem Scalability issues in Bayesian neural networks.
method Collapsed inference scheme that performs Bayesian model averaging using collapsed samples.
result Significant improvements over existing methods in predictive performance and uncertainty estimation.

Bayesian approach improves performance in Gaussian process models.

problem Scalable posterior estimation in Gaussian process models.
method Revisiting variational inference techniques with Bayesian treatment of inducing variables and hyper-parameters.
result State-of-the-art performance demonstrated across various regression and classification problems.

This work connects BNNs to GPs, providing scalable inference and identifying key properties.

problem Scaling and inference challenges in Bayesian neural networks.
method General convergence from BNNs to GPs, new covariance function, and scalable Nyström approximation.
result Established a scalable maximum a posterior (MAP) training and prediction procedure.

We present a novel, scalable and Bayesian approach to modelling the occurrence of pairs of symbols (i,j) drawn from a large vocabulary. Observed pairs are assumed to be generated by a simple popularity based selection process followed by censoring using a preference function. By basing inference on the well-founded pri…

2014-09-09abs ↗pdf ↗

Paper tackles scalable VFL with data augmentation and amortized inference.

problem Collaborative model estimation across multiple clients with distinct covariates.
method Data augmentation, amortized variational approximation, factorized likelihoods.
result Scalable Bayesian VFL framework for various models.

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.

VMoER improves uncertainty quantification in MoE layers for scalable foundation models.

problem Uncertainty quantification in large-scale models like MoE layers.
method Structured Bayesian approach with amortized variational inference over routing logits and temperature parameter inference.
result Improves routing stability, reduces calibration error, and increases AUROC by 12%.

Datasets are growing not just in size but in complexity, creating a demand for rich models and quantification of uncertainty. Bayesian methods are an excellent fit for this demand, but scaling Bayesian inference is a challenge. In response to this challenge, there has been considerable recent work based on varying assu…

2016-02-16abs ↗pdf ↗

Develops scalable Bayesian inference methods for neural networks.

problem Lack of model uncertainty in deep learning leading to overconfident predictions.
method Linearised Laplace approximation, conjugate Gaussian-linear models, stochastic gradient descent, sample-based EM algorithm.
result Equips neural networks with model uncertainty using scalable methods.

PHP connects to ReLU neural networks for scalable Bayesian inference.

problem Scalability and Bayesian inference in two-layer ReLU neural networks.
method PHP with Gaussian prior, decomposition propositions, annealed sequential Monte Carlo.
result PHP provides an alternative scalable representation for two-layer ReLU neural networks.

We present a hybrid algorithm for Bayesian topic models that combines the efficiency of sparse Gibbs sampling with the scalability of online stochastic inference. We used our algorithm to analyze a corpus of 1.2 million books (33 billion words) with thousands of topics. Our approach reduces the bias of variational infe…

2012-06-27abs ↗pdf ↗

Bayesian methods improve inference for cumulative probit models on large datasets.

problem Challenges in Bayesian inference for large cumulative probit models.
method Proposed scalable algorithms using Variational Bayes and Expectation Propagation.
result Superior computational performance and accuracy compared to MCMC.

A scalable Bayesian inference method for mixed-effects models in systems biology.

problem Scalable Bayesian inference for complex hierarchical mixed-effects models in systems biology.
method Constructing amortized approximations of likelihood and posterior distributions, refined for each individual dataset.
result Our method is both fast and competitive in statistical accuracy compared to exact pseudomarginal Bayesian inference.

NPE improves scalability and efficiency for ERGMs.

problem Scalability and efficiency issues in Bayesian ERGM estimation.
method Neural posterior estimation (NPE) for ERGMs using neural network density estimation.
result NPE provides more efficient and scalable inference for ERGMs.

BLISS detects and separates astronomical sources quickly and accurately.

problem Detecting and separating overlapping astronomical sources in large images.
method Bayesian Light Source Separator (BLISS) using deep generative models and variational inference.
result BLISS can process megapixel images in seconds and produce highly accurate catalogs.

Bayesian neural networks improved with scalable approximate inference.

problem Performing approximate Bayesian inference in complex models like neural networks.
method Two models: primary for prediction, secondary for posterior approximation; optimised via gradient descent on posterior predictive distribution.
result Approach scales better than MCMC and more expressive than VIs, without adversarial training.

The paper proposes a scalable framework for uncertainty quantification and propagation in surrogate-based Bayesian inference.

problem Uncertainty in surrogate models and its impact on inference and decision-making.
method Bayesian inference methods for surrogate models with measurement data.
result Scalable framework for uncertainty quantification and propagation in surrogate models.

A scalable method for Bayesian inference in large linear models.

problem High computational cost in Bayesian linear models for large networks.
method Sample-based inference and g-prior for hyperparameter selection.
result Linearised neural network inference on large datasets (ResNet-18, ResNet-50, U-Net).

Develops scalable model for learning velocity fields in complex traffic scenarios.

problem Learning heterogeneous and dynamic velocity fields in complex traffic scenarios.
method Nonparametric Bayesian modeling with hierarchical Dirichlet process and infinite hidden Markov model, Gaussian process prior, and scalable approximate inference.
result Demonstrates effective scalability and applicability to real-world traffic data.

VPR improves posterior uncertainty quantification by combining VI and predictive resampling.

problem Inaccurate posterior sampling with MCMC due to computational constraints.
method Variational predictive resampling (VPR) that uses VI's predictive strength and imputes future observations.
result VPR converges to the exact Bayesian posterior in a Gaussian location model and improves uncertainty quantification.