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We develop a rigorous theoretical framework for principal manifold estimation that recovers a latent low-dimensional manifold from a point cloud observed in a high-dimensional ambient space. Our framework accommodates manifolds with…

Statistics Theory · Mathematics 2026-04-07 Kun Meng , Christopher Perez

Pre-training is prevalent in deep learning for vision and text data, leveraging knowledge from other datasets to enhance downstream tasks. However, for tabular data, the inherent heterogeneity in attribute and label spaces across datasets…

Machine Learning · Computer Science 2025-02-13 Han-Jia Ye , Qi-Le Zhou , Huai-Hong Yin , De-Chuan Zhan , Wei-Lun Chao

Geological process models simulate a range of dynamic processes to evolve a base topography into a final 2D cross-section or 3D geological scenario. In principle, process parameters may be updated to better align with observed geophysical…

Geophysics · Physics 2023-08-04 Hugo Bloem , Andrew Curtis , Daniel Tetzlaff

Feature construction can contribute to comprehensibility and performance of machine learning models. Unfortunately, it usually requires exhaustive search in the attribute space or time-consuming human involvement to generate meaningful…

Machine Learning · Computer Science 2023-01-24 Boštjan Vouk , Matej Guid , Marko Robnik-Šikonja

In some situations, the interpretability of the machine learning models plays a role as important as the model accuracy. Interpretability comes from the need to trust the prediction model, verify some of its properties, or even enforce them…

Machine Learning · Computer Science 2024-04-10 Guilherme Seidyo Imai Aldeia , Fabricio Olivetti de Franca

Earth embedding models transform Earth observation data into embeddings uniquely tied to locations on the Earth's surface. These models are typically evaluated in isolation, comparing the downstream task performance across different Earth…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Thijs L van der Plas , Jacob JW Bakermans , Vishal Nedungadi , Gabrielė Tijūnaitytė , Marc Rußwurm , Ioannis N Athanasiadis

Feature attribution methods such as SHapley Additive exPlanations (SHAP) have become instrumental in understanding machine learning models, but their role in guiding model optimization remains underexplored. In this paper, we propose a…

Machine Learning · Computer Science 2025-08-01 Amal Saadallah

Machine learning approaches are widely studied in the production prediction of CBM wells after hydraulic fracturing, but merely used in practice due to the low generalization ability and the lack of interpretability. A novel methodology is…

Machine Learning · Computer Science 2022-12-22 Chao Min , Guoquan Wen , Liangjie Gou , Xiaogang Li , Zhaozhong Yang

Characterising the heterogeneous presentation of Parkinson's disease (PD) requires integrating biological and clinical markers within a unified predictive framework. While multimodal data provide complementary information, many existing…

Machine Learning · Computer Science 2026-01-05 Dristi Datta , Tanmoy Debnath , Minh Chau , Manoranjan Paul , Gourab Adhikary , Md Geaur Rahman

Representing token embeddings as probability distributions over learned manifolds allows for more flexible contextual inference, reducing representational rigidity while enhancing semantic granularity. Comparative evaluations demonstrate…

Computation and Language · Computer Science 2025-04-25 Christopher Nightingale , Dominic Lavington , Jonathan Thistlethwaite , Sebastian Penhaligon , Thomas Belinski , David Boldo

Foundation models have established unified representations for natural language processing, yet this paradigm remains largely unexplored for tabular data. Existing methods face fundamental limitations: LLM-based approaches lack…

Computation and Language · Computer Science 2026-05-07 Minjie Qiang , Mingming Zhang , Xiaoyi Bao , Xing Fu , Yu Cheng , Weiqiang Wang , Zhongqing Wang , Ningtao Wang

With the growing adoption of AI-based systems across everyday life, the need to understand their decision-making mechanisms is correspondingly increasing. The level at which we can trust the statistical inferences made from AI-based…

Machine Learning · Statistics 2024-04-15 Adam Spannaus , Heidi A. Hanson , Lynne Penberthy , Georgia Tourassi

Standard dual-encoder vision-language models that map images and text to deterministic points on a shared unit hypersphere through $\ell_2$ normalization typically expose neither \emph{aleatoric} uncertainty (cross-modal ambiguity) nor…

Machine Learning · Computer Science 2026-05-14 Mayank Nautiyal , Li Ju , Andreas Hellander , Ekta Vats , Prashant Singh

We develop a framework for indirect discovery in the Standard Model Effective Field Theory (SMEFT) based on Bayesian model selection over operator subsets. We argue that SMEFT should be understood as a structured space of competing…

High Energy Physics - Phenomenology · Physics 2026-05-22 Luca Mantani

Quantifying uncertainty in future climate projections is hindered by the prohibitive computational cost of running physical climate models, which severely limits the availability of training data. We propose a data-efficient framework for…

Methodology · Statistics 2026-02-27 Johannes Brachem , Paul F. V. Wiemann , Matthias Katzfuss

Graph Neural Networks (GNNs) have shown remarkable success across various scientific fields, yet their adoption in critical decision-making is often hindered by a lack of interpretability. Recently, intrinsically interpretable GNNs have…

Machine Learning · Computer Science 2025-10-07 Cheng Xin , Fan Xu , Xin Ding , Jie Gao , Jiaxin Ding

Clinical decisions are high-stakes and require explicit justification, making model interpretability essential for auditing deep clinical models prior to deployment. As the ecosystem of model architectures and explainability methods…

Machine Learning · Computer Science 2026-03-27 Yongda Fan , John Wu , Andrea Fitzpatrick , Naveen Baskaran , Jimeng Sun , Adam Cross

The limited extrapolative power of structure-based machine learning (ML) models is a critical bottleneck in chemical discovery, particularly for industrial R&D, where navigating uncharted chemical space to find next-generation materials or…

Active learning (AL) has emerged as a powerful paradigm for accelerating materials discovery by iteratively steering experiments toward promising candidates, reducing the number of costly synthesis-and-characterization cycles needed to…

Materials Science · Physics 2026-03-25 Jeffrey Hu , Rongzhi Dong , Ying Feng , Ming Hu , Jianjun Hu

Interpretable machine learning has been focusing on explaining final models that optimize performance. The current state-of-the-art is the Shapley additive explanations (SHAP) that locally explains variable impact on individual predictions,…

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