arXiv Machine Learning By Chaitanya Dumbre, Sourabh Dube

Estimating Spectrum-Free Information Bounds for Generative Surrogates Beyond Conditional Collapse

Read the original on arXiv Machine Learning →

The paper evaluates conditional generative surrogates used in high‑energy physics, noting that common 1D marginal divergence metrics can mistakenly reward models that ignore conditioning information. Using the Continuous Ranked Probability Skill Score (CRPSS) as a more robust metric, the authors demonstrate that a simple sampler can outperform a trained Mixture Density Network on all target marginals, and that the advantage diminishes when CRPSS is evaluated within bins of the conditioning variable. They further introduce a data‑driven k‑Nearest‑Neighbor extrapolation to estimate the maximum achievable CRPSS given the conditioning information, finding that both models reach this estimate, suggesting current architectures have extracted the available conditioning information for the evaluated targets.

Machine-generated by The Flow from the publisher's headline and feed description — not written or checked by a human. The full article lives at arXiv Machine Learning.

arXiv Machine Learning
Aug 13

Fine-Tuning Generative Models for Extreme Events via CVaR-Penalized Wasserstein Gradient Flows

arXiv:2608. 11544v1 Announce Type: cross Abstract: We propose CVaR-penalized Generative Particle Algorithm (CVaR-GPA), a robust, tail-agnostic algorithm for fine-tuning generative models to learn heavy-tailed distributions and capture extreme events, requiring no prior knowledge or estimation of the target's tail characteristics.

By Thejani Gamage, Hyemin Gu, Zhizhen Zhang, Ziyu Chen, Markos Katsoulakis, Luc Rey-Bellet
arXiv Machine Learning
Sep 25

Sufficiently Reduced Distributional Regression

Sufficiently Reduced Distributional Regression (SRDR) is a generative approach that merges conditional distribution estimation with nonlinear sufficient dimension reduction (SDR). By framing SDR as a risk minimization problem using strictly proper scoring rules, SRDR jointly learns a dimension reduction map and a generative prediction model through minimization of the energy score, which can be estimated via sampling. The method extends to multi‑environment data and classification, and theoretical results show convergence of estimated conditional distributions in energy distance, implying asymptotic sufficiency. In experiments on CT slice localization, superconductivity data, and digit classification, SRDR recovers low‑dimensional sufficient structure and matches or surpasses state‑of‑the‑art nonlinear SDR methods in representation quality and predictive performance.

By Alexander Henzi, Tiange Liu, Xinwei Shen