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The recently developed Prior-Data Fitted Networks (PFNs) have shown very promising results for applications in low-data regimes. The TabPFN model, a special case of PFNs for tabular data, is able to achieve state-of-the-art performance on a…

Machine Learning · Computer Science 2024-07-24 David Rundel , Julius Kobialka , Constantin von Crailsheim , Matthias Feurer , Thomas Nagler , David Rügamer

We demonstrate that embedding physics-driven constraints into machine learning process can dramatically improve accuracy and generalizability of the resulting model. Physics-informed learning is illustrated on the example of analysis of…

Computational Physics · Physics 2021-12-16 Abantika Ghosh , Mohannad Elhamod , Jie Bu , Wei-Cheng Lee , Anuj Karpatne , Viktor A Podolskiy

Predicting the adsorption affinity of a small molecule to a target surface is of importance to a range of fields, from catalysis to drug delivery and human safety, but a complex task to perform computationally when taking into account the…

Chemical Physics · Physics 2022-11-16 Ian Rouse , Vladimir Lobaskin

In the partially-observed outcome setting, a recent set of proposals known as "prediction-powered inference" (PPI) involve (i) applying a pre-trained machine learning model to predict the response, and then (ii) using these predictions to…

Methodology · Statistics 2026-02-12 Runjia Zou , Daniela Witten , Brian Williamson

Airfoil shape optimization plays a critical role in the design of high-performance aircraft. However, the high-dimensional nature of airfoil representation causes the challenging problem known as the "curse of dimensionality". To overcome…

Machine Learning · Computer Science 2023-11-21 Yu-Eop Kang , Dawoon Lee , Kwanjung Yee

Generating functions, which are widely used in combinatorics and probability theory, encode function values into the coefficients of a polynomial. In this paper, we explore their use as a tractable probabilistic model, and propose…

Artificial Intelligence · Computer Science 2021-06-15 Honghua Zhang , Brendan Juba , Guy Van den Broeck

Inspired by applications in sports where the skill of players or teams competing against each other varies over time, we propose a probabilistic model of pairwise-comparison outcomes that can capture a wide range of time dynamics. We…

Machine Learning · Statistics 2019-05-20 Lucas Maystre , Victor Kristof , Matthias Grossglauser

Increasing levels of renewable generation motivate a growing interest in data-driven approaches for AC optimal power flow (AC OPF) to manage uncertainty; however, a lack of disciplined dataset creation and benchmarking prohibits useful…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Trager Joswig-Jones , Kyri Baker , Ahmed S. Zamzam

Multi-model ensembles provide a pragmatic approach to the representation of model uncertainty in climate prediction. However, such representations are inherently ad hoc, and, as shown, probability distributions of climate variables based on…

Atmospheric and Oceanic Physics · Physics 2009-08-26 T. N. Palmer , F. J. Doblas-Reyes , A. Weisheimer , G. J. Shutts , J. Berner , J. M. Murphy

To understand changes in physical systems and facilitate decisions, explaining how model predictions are made is crucial. We use model-based interpretability, where models of physical systems are constructed by composing basic constructs…

Artificial Intelligence · Computer Science 2020-03-24 Ion Matei , Johan de Kleer , Christoforos Somarakis , Rahul Rai , John S. Baras

We introduce Probabilistic Coordinate Fields (PCFs), a novel geometric-invariant coordinate representation for image correspondence problems. In contrast to standard Cartesian coordinates, PCFs encode coordinates in correspondence-specific…

Computer Vision and Pattern Recognition · Computer Science 2023-06-21 Weiyue Zhao , Hao Lu , Xinyi Ye , Zhiguo Cao , Xin Li

This work presents a physics-based machine learning framework to predict and analyze oxides of nitrogen (NOx) emissions from compression-ignition engine-powered vehicles using on-board diagnostics (OBD) data as input. Accurate NOx…

Machine Learning · Computer Science 2025-03-10 Harish Panneer Selvam , Bharat Jayaprakash , Yan Li , Shashi Shekhar , William F. Northrop

Complex network data is prevalent in various real-world domains, including physical, technological, and biological systems. Despite this prevalence, predicting trends and understanding behavioral patterns in complex systems remain…

Symbolic Computation · Computer Science 2026-01-22 Zezheng Song , Chunmei Wang , Haizhao Yang

Probabilistic electricity price forecasting (PEPF) is vital for short-term electricity markets, yet the multivariate nature of day-ahead prices - spanning 24 consecutive hours - remains underexplored. At the same time, real-time…

Machine Learning · Statistics 2026-04-27 Simon Hirsch

Mechanistic dynamic models of biochemical networks such as Ordinary Differential Equations (ODEs) contain unknown parameters like the reaction rate constants and the initial concentrations of the compounds. The large number of parameters as…

Data Analysis, Statistics and Probability · Physics 2017-08-14 Clemens Kreutz , Andreas Raue , Jens Timmer

The increased energy and power density required in modern electronics poses a challenge for designing new dielectric polymer materials with high energy density while maintaining low loss at high applied electric fields. Recently, an…

The Optimal Power Flow (OPF) problem is pivotal for power system operations, guiding generator output and power distribution to meet demand at minimized costs, while adhering to physical and engineering constraints. The integration of…

Machine Learning · Computer Science 2023-11-27 Chen Li , Alexander Kies , Kai Zhou , Markus Schlott , Omar El Sayed , Mariia Bilousova , Horst Stoecker

Exchangeability is a central notion in statistics and probability theory. The assumption that an infinite sequence of data points is exchangeable is at the core of Bayesian statistics. However, finite exchangeability as a statistical…

Artificial Intelligence · Computer Science 2014-04-24 Mathias Niepert , Guy Van den Broeck

This work introduces the Supervised Expectation-Maximization Framework (SEMF), a versatile and model-agnostic approach for generating prediction intervals with any ML model. SEMF extends the Expectation-Maximization algorithm, traditionally…

Machine Learning · Statistics 2025-09-30 Ilia Azizi , Marc-Olivier Boldi , Valérie Chavez-Demoulin

Data-driven methods have shown great potential in solving challenging manipulation tasks; however, their application in the domain of deformable objects has been constrained, in part, by the lack of data. To address this lack, we propose…