most citedBayesian Inference for Joint Tail Risk in Paired Biomarkers via Archimedean Copulas with Restricted Jeffreys Priors

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stat.ME2026★ 1 cited

Bayesian Inference for Joint Tail Risk in Paired Biomarkers via Archimedean Copulas with Restricted Jeffreys Priors

Agnideep Aich, Md. Monzur Murshed, Sameera Hewage +1

We propose a Bayesian copula-based framework to quantify clinically interpretable joint tail risks from paired continuous biomarkers. After converting each biomarker margin to rank…

stat.ML2025

Copula-Stein Discrepancy: A Generator-Based Stein Operator for Archimedean Dependence

Agnideep Aich, Ashit Baran Aich

Kernel Stein discrepancies (KSDs) are widely used for goodness-of-fit testing, but standard KSDs can be insensitive to higher-order dependence features such as tail dependence. We…

stat.ML2025

The Minimax Lower Bound of Kernel Stein Discrepancy Estimation

Jose Cribeiro-Ramallo, Agnideep Aich, Florian Kalinke +2

Kernel Stein discrepancies (KSDs) have emerged as a powerful tool for quantifying goodness-of-fit over the last decade, featuring numerous successful applications. To the best of o…

stat.ML2025

Copula Discrepancy: Benchmarking Dependence Structure

Agnideep Aich, Ashit Baran Aich

We study a simple statistic for benchmarking how well a sample preserves a known bivariate dependence structure. Given a target copula family (Clayton or Gumbel) and parameter $θ_P…

stat.ML2025

From Sublinear to Linear: Local Convergence in Finite-Width Networks via Locally Polyak-Lojasiewicz Regions

Agnideep Aich, Ashit Baran Aich, Bruce Wade

We study local linear convergence of gradient descent for finite-width feedforward networks under the squared empirical loss. Prior work shows that GD can remain confined to a Loca…

stat.ML2025

Bag of Coins: A Statistical Probe into Neural Confidence Structures

Agnideep Aich, Sameera Hewage, Md Monzur Murshed +2

Modern neural networks often produce miscalibrated confidence scores and struggle to detect out-of-distribution (OOD) inputs, while most existing methods post-process outputs witho…

stat.ML2025

Temporal Conformal Prediction (TCP): Rolling Calibration for Financial Risk Forecasting

Agnideep Aich, Ashit Baran Aich, Dipak C. Jain

We study two rolling conformal procedures that construct prediction intervals for financial returns. Temporal Conformal Prediction (TCP) uses a zero-truncated version of the confor…

stat.ME2025

A2 Copula-Driven Spatial Bayesian Neural Network For Modeling Non-Gaussian Dependence: A Simulation Study

Agnideep Aich, Sameera Hewage, Md Monzur Murshed +5

In this paper, we introduce the A2 Copula Spatial Bayesian Neural Network (A2-SBNN), a predictive spatial model designed to map coordinates to continuous fields while capturing bot…

stat.ML2025

Deep Copula Classifier: Theory, Consistency, and Empirical Evaluation

Agnideep Aich, Ashit Baran Aich

We present the Deep Copula Classifier (DCC), a class-conditional generative model that separates marginal estimation from dependence modeling using neural copula densities. DCC is…

stat.ML2025

Symplectic Generative Networks (SGNs): A Hamiltonian Framework for Invertible Deep Generative Modeling

Agnideep Aich, Ashit Aich

We introduce the \emph{Symplectic Generative Network (SGN)}, a deep generative model that leverages Hamiltonian mechanics to construct an invertible, volume-preserving mapping betw…