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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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70140209279 · Jun 202019922001200920172026
48 results for prior sensitivity

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.

Recent reports have described that learning Bayesian networks are highly sensitive to the chosen equivalent sample size (ESS) in the Bayesian Dirichlet equivalence uniform (BDeu). This sensitivity often engenders some unstable or undesirable results. This paper describes some asymptotic analyses of BDeu to explain the …

2012-02-14abs ↗pdf ↗

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.

The empirically successful Thompson Sampling algorithm for stochastic bandits has drawn much interest in understanding its theoretical properties. One important benefit of the algorithm is that it allows domain knowledge to be conveniently encoded as a prior distribution to balance exploration and exploitation more eff…

2015-06-10abs ↗pdf ↗

JORC-UMAP improves UMAP by incorporating geometric and topological priors.

problem UMAP's local Euclidean distance assumption fails to capture intrinsic manifold geometry, leading to topological tearing and structural collapse.
method JORC-UMAP introduces Ollivier-Ricci curvature as a geometric prior and Jaccard similarity as a topological prior to reinforce edges and reduce redundant links.
result JORC-UMAP reduces tearing and collapse more effectively than standard UMAP and other DR methods, as measured by SVM accuracy and triplet preservation scores.

Study finds economic data may not be as sparse as previously thought.

problem Modeling economic relations with many variables and prior sensitivity issues.
method Bayesian approach with Spike-and-Slab prior to evaluate variable selection and shrinkage.
result Prior distribution affects detection of sparsity patterns in economic data.

The paper proposes a method to learn differentially private variational autoencoders with term-wise gradient aggregation.

problem Learning variational autoencoders with differential privacy constraints and multiple divergences.
method Term-wise Differentially Private SGD (DP-SGD) that crafts randomized gradients for each loss term, keeping sensitivity at O(1).
result The method reduces the amount of noise needed for differential privacy, allowing better learning.

Proposes FOAGP for efficient orthogonal effect decomposition of black-box computer experiments.

problem Challenges in sensitivity analysis of black-box computer experiments with complex, nonlinear functional outputs.
method Functional-output orthogonal additive Gaussian process (FOAGP) with conditional orthogonality constraint.
result Demonstrates effectiveness in orthogonal effect decomposition and variance decomposition through simulations and real-world application.

Imbalanced data with a skewed class distribution are common in many real-world applications. Deep Belief Network (DBN) is a machine learning technique that is effective in classification tasks. However, conventional DBN does not work well for imbalanced data classification because it assumes equal costs for each class.…

2018-04-28abs ↗pdf ↗

Improved bounds for p\ell_p sensitivity sampling reducing the sample complexity for structured matrices.

problem Improving the sample complexity for structured matrices using p\ell_p sensitivity sampling.
method Developed new bounds for p\ell_p sensitivity sampling, achieving a bound of roughly S22/p\mathfrak{S}^{2-2/p} for 2<p<2 < p < \infty.
result Achieved improved bounds for p\ell_p sensitivity sampling, reducing the sample complexity for structured matrices.

Bayesian methods improve causal effect estimation, offering shrinkage and sensitivity analysis.

problem Improving causal effect estimation in practical settings.
method Parametric and nonparametric Bayesian approaches.
result Priors induce shrinkage and sparsity in parametric models.

Proposes a method to assess unobserved confounding effects in causal inference.

problem Assessing unobserved confounding in causal inference studies.
method Copula-based normalizing flows with sensitivity parameter ρρ.
result Estimates average causal effect (ACE) as a function of unobserved confounding strength.

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.

This research explores how different discrete diffusion kernels affect graph generation quality.

problem The impact of different discrete diffusion kernels on graph generation quality.
method Developed a family of discrete diffusion kernels that converge to different Bernoulli priors.
result The quality of generated graphs is sensitive to the prior used, challenging previous intuitions.

Paper introduces threshold invariant fairness to ensure equitable predictions across different groups.

problem Machine learning models can be unfair to certain groups based on sensitive attributes.
method Proposes threshold invariant fairness and uses two approximation methods to equalize risk distributions.
result Demonstrates effectiveness in alleviating threshold sensitivity in fairness models.

In this paper, we consider the problem of low-rank phase retrieval whose objective is to estimate a complex low-rank matrix from magnitude-only measurements. We propose a hierarchical prior model for low-rank phase retrieval, in which a Gaussian-Wishart hierarchical prior is placed on the underlying low-rank matrix to …

2018-11-05abs ↗pdf ↗

We investigate the problem of learning representations that are invariant to certain nuisance or sensitive factors of variation in the data while retaining as much of the remaining information as possible. Our model is based on a variational autoencoding architecture with priors that encourage independence between sens…

2015-11-03abs ↗pdf ↗

A new CVaR test reduces group performance disparity detection complexity.

problem Detecting performance disparities across multiple sensitive groups in ML models.
method Conditional Value-at-Risk (CVaR) testing to reduce sample complexity.
result Sample complexity reduced exponentially to be at most the square root of the number of groups.

Outliers are ubiquitous in modern data sets. Distance-based techniques are a popular non-parametric approach to outlier detection as they require no prior assumptions on the data generating distribution and are simple to implement. Scaling these techniques to massive data sets without sacrificing accuracy is a challeng…

2016-05-02abs ↗pdf ↗

The Black-Litterman model combines investors' personal views with historical data and gives optimal portfolio weights. In this paper we will introduce the original Black-Litterman model (section 1), we will modify the model such that it fits in a Bayesian framework by considering the investors' personal views to be a d…

2018-11-22abs ↗pdf ↗

Enhances GFlowNets with distributional approach for risk-sensitive policies.

problem Limited applicability of current GFlowNet framework in handling stochastic reward functions.
method Adopting a distributional paradigm, parameterizing each edge flow through quantile functions, and introducing a risk-sensitive learning algorithm.
result Significant improvement on benchmarks due to enhanced training algorithm, even in deterministic reward settings.

New Bayesian method for estimating portfolio VaR and CVaR that adapts to volatility changes.

problem Estimating VaR and CVaR of portfolios in volatile markets.
method Volatility-sensitive Bayesian estimation using conjugate priors and rolling window sizes.
result The new method provides better risk estimation, especially during turbulent periods.

A new method distills material models from noisy data without prior selection.

problem Uncertainty in material model discovery from noisy data.
method Augmenting data with Gaussian process, approximating parameter distribution with normalizing flow, distilling by matching stress-deformation functions, performing sensitivity analysis.
result Sparse and interpretable material models discovered from experimental data.

GS-WGAN sanitizes sensitive data for machine learning with improved privacy and model quality.

problem Lack of privacy in sensitive data hinders machine learning applications.
method Gradient-sanitized Wasserstein Generative Adversarial Networks (GS-WGAN).
result GS-WGAN generates more informative samples and outperforms state-of-the-art approaches.

Algorithm generates private continuous-time data for sensitive domains.

problem Private generation of continuous-time data for sensitive domains.
method Mean-field Langevin dynamics and noisy particle gradient descent.
result Strong privacy guarantees for one-time data contributions.

Bayesian algorithms perform well even with misspecified priors, especially in meta-learning.

problem Performance degradation of Bayesian algorithms with misspecified priors.
method Thompson sampling and meta-learning analysis with misspecified priors.
result Thompson sampling's performance degrades gracefully with misspecification, with a bound of ildeO(H2ε) ilde{\mathcal{O}}(H^2 ε).