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data science

2,788 papers

#machine learning Preprint Sep 2026

HyCoSeq: Contextual Hyperbolic Representation Learning for Genomic Sequences

HyCoSeq incorporates weighted Lorentzian residual aggregation into multi-curvature Lorentz encoding, allowing full Lorentz representations to participate directly in geometry-consistent local aggregation, thereby extending local hyperbolic convolutional encoding to sequence-level contextualized representations.

C. Zeng, Zhi-Bin Pu, Shu-Fei Ge · 0 citations
#machine learning Preprint Sep 2026

Stable by Construction: Variational Latent Markov Operators for Long-Horizon PDE Prediction

Variational modeling is highlighted as a complementary approach to robust long-horizon neural PDE dynamics by introducing latent Markov dynamics, which combines spatially resolved latent fields, structured Gaussian perturbations, and a neural-operator transition.

Jun-Yi Liao, J. Guilleminot, Vahid Tarokh · 0 citations
#machine learning Preprint Open access Sep 2026

Skeletal Prototypes on Iterative Nerve Expansions

Prototype reduction replaces a training set with a smaller representation, and the established methods return a finite set of points. We propose Skeletal Prototypes on Iterative Nerve Expansions (SPINE). The model for each class is an embedded 1-complex rather than a point set. Its initial edge set is a class-condition...

Jordan Eckert, Henry Schenck · 0 citations

Operator-Informed Gaussian Processes for Complex Helmholtz Wavefields: From Synthetic Benchmarks to In Vivo Brain Elastography

This work extends operator-informed GP regression to complex-valued Helmholtz problems by realifying the complex operator into an equivalent coupled real block, which enables inference with standard real-valued GP conditioning and identifies a low-frequency accuracy ceiling set by model mismatch and a posterior uncerta...

B. Deng, Kshitiz Upadhyay, Michael D. Shields · 0 citations

Differential Privacy of Gaussian Process Posterior Sampling

This work derives Renyi-DP guarantees separating privacy leakage through the posterior mean from a distinct channel induced by the data-dependent posterior covariance, and identifies effective ridge regularisation and covariance scale as the principal privacy-controlling quantities.

Tomasz Maciazek · 0 citations

Proper Calibeating

The classic concept of"calibrated forecasts"and its more recent refinement,"calibeating,"are defined with respect to the standard quadratic scoring rule. We extend these notions to the class of proper scoring rules (for which the true distribution is an optimal forecast) and define \textit{proper calibration} and \text...

Dean P. Foster, Sergiu Hart · 3 citations · ⚡1
#machine learning Preprint Open access Sep 2026

Optimal Learning Rate Schedules under Functional Scaling Laws: Power Decay and Warmup-Stable-Decay

We study optimal learning rate (LR) schedules under the functional scaling law (FSL) framework (Li et al., 2025), which decomposes training dynamics into signal learning and noise forgetting. In power-law kernel regression, these two components are governed by a source exponent $s>0$ and a capacity exponent $q>1$, resp...

Binghui Li, Zilin Wang, Fengling Chen et al. · 0 citations
#machine learning Preprint Open access Sep 2026

Exact Recovery by Neighborhood Smoothing in Directed Stochastic Block Models

We study exact community recovery in sparse directed stochastic block models using neighborhood smoothing of connection-probability profiles. The proposed method clusters vertices according to their estimated outgoing connection-probability profiles. For each vertex, its complete outgoing profile is estimated by averag...

Behzad Aalipur, Yichen Qin · 0 citations
#machine learning Preprint Open access Sep 2026

Basic Inequalities for First-Order Optimization with Applications to Statistical Risk Analysis

In this work, we introduce $\textit{basic inequalities}$ for first-order iterative optimization algorithms, forming a simple yet versatile framework which connects implicit and explicit regularization. Building on related comparison inequalities for optimization iterates that already exist in the literature, we extend...

Seunghoon Paik, Kangjie Zhou, Matus Telgarsky et al. · 0 citations

Noise-Adaptive Conformal Classification with Marginal Coverage

This work introduces an adaptive conformal inference method capable of efficiently handling deviations from exchangeability caused by random label noise, leading to informative prediction sets with tight marginal coverage guarantees even in those challenging scenarios.

T. Bortolotti, Y. X. Rachel Wang, Xin Tong et al. · 2 citations
#machine learning Preprint Open access Sep 2026

From Linear to Linearizable Optimization: A Novel Framework with Applications to Stationary and Non-stationary DR-submodular Optimization

This paper introduces the notion of upper-linearizable/quadratizable functions, a class that extends concavity and DR-submodularity in various settings, including monotone and non-monotone cases. A general meta-algorithm is devised to convert algorithms for linear/quadratic maximization into ones that optimize upper-li...

Mohammad Pedramfar, Vaneet Aggarwal · 0 citations

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