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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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3717411,1121,482 · Jun 202019922001200920172026
48 results for Bayesian model choice

Bayesian methods detect significant IIA violations in similarity choice data.

problem Detecting IIA violations in similarity choice data complicates classical models.
method Proposed two statistical methods: classical goodness-of-fit test and Bayesian PPC.
result Significant IIA violations confirmed in both datasets, driven by context effects.

The study assesses sensitivity to prior choices in Bayesian nonparametric models.

problem Difficulty in specifying priors for Bayesian nonparametric models.
method Utilizes variational Bayesian methods to assess sensitivity to concentration parameter and stick-breaking distribution.
result Demonstrates how to evaluate sensitivity to prior choices in Dirichlet process mixtures and related models.

A distributed method for Bayesian model choice using marginal likelihood and Monte Carlo sampling.

problem Bayesian model choice in large datasets with limited communication.
method Split data into subsets, locally compute model evidence, combine results using summary statistics.
result The method enables model choice in large datasets with speed-ups and theoretical error bounds.

Paper develops Bayesian inference for discrete-choice mnp models with Gaussian priors.

problem Estimating parameters of discrete-choice multinomial probit models with Gaussian priors.
method Adapts Fasano and Durante's results to a specific mnp model with zero mean and independent Gaussian priors, simplifying posterior distribution parameters and providing a new variational algorithm.
result Simplified expressions for posterior distribution parameters and a novel variational algorithm.

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.

One of the most popular copulas for modeling dependence structures is t-copula. Recently the grouped t-copula was generalized to allow each group to have one member only, so that a priori grouping is not required and the dependence modeling is more flexible. This paper describes a Markov chain Monte Carlo (MCMC) method…

2011-03-03abs ↗pdf ↗

Bayesian optimisation's mean function choice affects convergence speed.

problem The choice of mean function in Bayesian optimisation impacts convergence speed.
method Empirical investigation of 8 mean functions on 10 synthetic and 2 real-world problems.
result Using a constant mean function equal to the worst observed quality value promotes faster convergence.

We develop a Bayesian nonparametric extension of the popular Plackett-Luce choice model that can handle an infinite number of choice items. Our framework is based on the theory of random atomic measures, with the prior specified by a gamma process. We derive a posterior characterization and a simple and effective Gibbs…

2012-11-19abs ↗pdf ↗

Information-theoretic Bayesian optimisation techniques have demonstrated state-of-the-art performance in tackling important global optimisation problems. However, current information-theoretic approaches require many approximations in implementation, introduce often-prohibitive computational overhead and limit the choi…

2017-11-02abs ↗pdf ↗

Self-reinforcing feedback loops in personalization systems are typically caused by users choosing from a limited set of alternatives presented systematically based on previous choices. We propose a Bayesian choice model built on Luce axioms that explicitly accounts for users' limited exposure to alternatives. Our model…

2019-08-15abs ↗pdf ↗

We introduce a semi-supervised discrete choice model to calibrate discrete choice models when relatively few requests have both choice sets and stated preferences but the majority only have the choice sets. Two classic semi-supervised learning algorithms, the expectation maximization algorithm and the cluster-and-label…

2017-02-16abs ↗pdf ↗

This article proposes Multinomial Probit Bayesian Additive Regression Trees (MPBART) as a multinomial probit extension of BART - Bayesian Additive Regression Trees (Chipman et al (2010)). MPBART is flexible to allow inclusion of predictors that describe the observed units as well as the available choice alternatives. T…

2013-09-30abs ↗pdf ↗

Approximate Bayesian computation (ABC) methods provide an elaborate approach to Bayesian inference on complex models, including model choice. Both theoretical arguments and simulation experiments indicate, however, that model posterior probabilities may be poorly evaluated by standard ABC techniques. We propose a novel…

2014-06-24abs ↗pdf ↗

Develops a Bayesian framework for portfolio choice with a new posterior distribution.

problem Estimation risk in parametric portfolio policies.
method Generalized Bayesian framework with Gibbs posterior, utility maximization, and KNEEDLE algorithm.
result Optimal scaling parameter λλ controls the balance between prior and data.

In this paper, we propose an active learning algorithm and models which can gradually learn individual's preference through pairwise comparisons. The active learning scheme aims at finding individual's most preferred choice with minimized number of pairwise comparisons. The pairwise comparisons are encoded into probabi…

2018-05-04abs ↗pdf ↗

Paper analyzes GP-EI for Bayesian optimization with no regret and provides guidance on choosing incumbents.

problem Analyzing cumulative regret of GP-EI with different incumbents in noisy Bayesian optimization.
method Analyzes GP-EI with three incumbents (BPMI, BSPMI, BOI) in both SE and Matérn kernels, proving no-regret for BPMI and BSPMI.
result GP-EI with BPMI and BSPMI is a no-regret algorithm for both SE and Matérn kernels, providing theoretical guidance for choosing incumbents.

Active learning method for ABC statistics selection reduces expert work and improves posterior estimates.

problem Handling intractable likelihood functions in models with domain knowledge.
method Active learning method for selecting summary statistics in ABC.
result Better posterior estimates than existing methods, especially with limited simulation budget.

The paper discusses the impact of prior densities on Bayesian model selection.

problem The sensitivity of marginal likelihood to prior choice in Bayesian model selection.
method Analyzes the role of prior densities in model selection, discusses improper priors, and proposes solutions.
result Marginal likelihood can be sensitive to prior choice, but improper priors can still be used with caution.

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 improves out-of-distribution detection but not always.

problem Improving the reliability of deep learning models in uncertain or novel data.
method Validation of likelihood-based Bayesian models for out-of-distribution detection.
result Bayesian deep learning models can marginally outperform conventional neural networks in certain conditions.

Decentralized Gaussian processes for multi-agent systems.

problem Scalable and flexible learning solutions for multi-agent systems.
method Asymptotically exact decentralized solution to Gaussian processes, with online Bayesian model averaging for hyperparameter selection.
result Asymptotically exact decentralized Gaussian process approximation and online Bayesian model averaging.

This paper reviews Bayesian methods for sparsity-aware modeling.

problem Uncertainty evaluation and robustness in sparsity-aware models.
method Incorporates sparsity-promoting priors into deep neural networks, Gaussian processes, and tensor decomposition.
result Bayesian methods improve model robustness and uncertainty evaluation.

Bayesian method corrects for model selection multiplicity in regression.

problem Model selection multiplicity in regression analysis.
method Developed a Bayesian prior distribution based on Holm procedure analogy.
result Adequate multiplicity correction requires sparsity not provided by recommended priors.

We harness the power of Bayesian emulation techniques, designed to aid the analysis of complex computer models, to examine the structure of complex Bayesian analyses themselves. These techniques facilitate robust Bayesian analyses and/or sensitivity analyses of complex problems, and hence allow global exploration of th…

2017-03-03abs ↗pdf ↗

Additive Bayesian networks are types of graphical models that extend the usual Bayesian generalized linear model to multiple dependent variables through the factorisation of the joint probability distribution of the underlying variables. When fitting an ABN model, the choice of the prior of the parameters is of crucial…

2018-09-18abs ↗pdf ↗

Bayesian neural networks struggle with accuracy and uncertainty quantification in complex models.

problem Challenges in achieving high predictive performance and reliable uncertainty estimates in Bayesian neural networks.
method Investigates computational costs, accuracy, and uncertainty quantification in Bayesian neural networks with different inference techniques.
result Variational inference provides better uncertainty quantification than Markov chain Monte Carlo, and stacking/ensembling variational approximations can achieve similar accuracy at reduced cost.

SCoreBO improves Bayesian optimization by learning hyperparameters and self-correcting.

problem Efficient hyperparameter tuning for Gaussian process models in Bayesian optimization.
method Introduces SAL and SCoreBO, which prioritize hyperparameter learning and perform simultaneous optimization and learning.
result SCoreBO outperforms state-of-the-art methods on traditional benchmarks and atypical tasks.

Bayesian calibration of black-box computer models offers an established framework to obtain a posterior distribution over model parameters. Traditional Bayesian calibration involves the emulation of the computer model and an additive model discrepancy term using Gaussian processes; inference is then carried out using M…

2018-10-29abs ↗pdf ↗

Discrete choice models are commonly used by applied statisticians in numerous fields, such as marketing, economics, finance, and operations research. When agents in discrete choice models are assumed to have differing preferences, exact inference is often intractable. Markov chain Monte Carlo techniques make approximat…

2007-12-15abs ↗pdf ↗

When applying machine learning to problems in NLP, there are many choices to make about how to represent input texts. These choices can have a big effect on performance, but they are often uninteresting to researchers or practitioners who simply need a module that performs well. We propose an approach to optimizing ove…

2015-03-02abs ↗pdf ↗

Model-based clustering is widely-used in a variety of application areas. However, fundamental concerns remain about robustness. In particular, results can be sensitive to the choice of kernel representing the within-cluster data density. Leveraging on properties of pairwise differences between data points, we propose a…

2018-10-19abs ↗pdf ↗

Study shows prior Lipschitz continuity can improve adversarial robustness of Bayesian Neural Networks.

problem Improving adversarial robustness of Bayesian Neural Networks.
method Analysis of i.i.d., zero-mean Gaussian priors and posteriors approximated via mean-field variational inference.
result Adversarial robustness is sensitive to the prior variance.

Bayesian analysis shows unlabeled data improve graph-based semi-supervised learning.

problem Improving semi-supervised learning with limited labeled data.
method Bayesian nonparametric approach using unlabeled data for graph-based learning.
result Posterior contracts optimally around the truth with sufficient unlabeled data.