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DOE OSTI · 3004988

TPCpp-10M: Simulated proton-proton collisions in a time projection chamber for AI foundation models

Abstract

Scientific foundation models hold great promise for advancing nuclear and particle physics by improving analysis precision and accelerating discovery. Yet, progress in this field is often limited by the lack of openly available large scale datasets, as well as standardized evaluation tasks and metrics. Furthermore, the specialized knowledge and software typically required to process particle physics data pose significant barriers to interdisciplinary collaboration with the broader machine learning community. This work introduces a large, openly accessible dataset of 10 million simulated proton-proton collisions, designed to support self-supervised training of foundation models. To facilitate ease of use, the dataset is provided in a common NumPy format. In addition, it includes 70,000 labeled examples spanning three well defined downstream tasks: track finding, particle identification, and noise tagging, to enable systematic evaluation of the foundation model's adaptability. The simulated data are generated using the Pythia Monte Carlo event generator at a center of mass energy of $\sqrt{s}$ = 200 GeV and processed with Geant4 to include realistic detector conditions and signal emulation in the sPHENIX Time Projection Chamber at the Relativistic Heavy Ion Collider, located at Brookhaven National Laboratory. This dataset resource establishes a common ground for interdisciplinary research, enabling machine learning scientists and physicists alike to explore scaling behaviors, assess transferability, and accelerate progress toward foundation models in nuclear and high energy physics. The complete simulation and reconstruction chain is reproducible with the sPHENIX software stack. All data and code locations are provided under Data Accessibility.

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BibTeXRIS

Li, Shuhang [Columbia University, New York, NY (United States)] (ORCID:000900090836315X), Huang, Yi [Brookhaven National Laboratory (BNL), Upton, NY (United States)] (ORCID:0000000270247469), Park, David [Brookhaven National Laboratory (BNL), Upton, NY (United States)], Luo, Xihaier [Brookhaven National Laboratory (BNL), Upton, NY (United States)], Yu, Haiwang [Brookhaven National Laboratory (BNL), Upton, NY (United States)] (ORCID:0000000229734580), Go, Yeonju [Brookhaven National Laboratory (BNL), Upton, NY (United States)] (ORCID:0000000312531223), Pinkenburg, Christopher [Brookhaven National Laboratory (BNL), Upton, NY (United States)] (ORCID:000000031875994X), Lin, Yuewei [Brookhaven National Laboratory (BNL), Upton, NY (United States)], Yoo, Shinjae [Brookhaven National Laboratory (BNL), Upton, NY (United States)], Osborn, Joseph [Brookhaven National Laboratory (BNL), Upton, NY (United States)] (ORCID:0000000306977704), Roland, Christof [Massachusetts Institute of Technology, Cambridge, MA (United States)], Huang, Jin [Brookhaven National Laboratory (BNL), Upton, NY (United States)], Ren, Yihui [Brookhaven National Laboratory (BNL), Upton, NY (United States)] (ORCID:0000000257506964). 2025-12-16. TPCpp-10M: Simulated proton-proton collisions in a time projection chamber for AI foundation models. https://doi.org/10.1016/j.dib.2025.112393

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Algorithm to extract direction in 2D discrete distributions and a continuous Frobenius norm

In this study, we present a novel algorithm for determining directionality in 2D distributions of discrete data. We compare a reference dataset with a known direction to a measured dataset with an unknown direction by the Frobenius norm of the difference (FND) to find the unknown direction. To generalize this concept, we develop a continuous Frobenius norm of the difference (CFND) as a continuous analog of the FND and derive its analytical expression. By relating fitted and normalized 2D Gaussian distributions, we show that the CFND approximates the FND, and we validate this relationship with computer simulations. We find that a first-order approximation of the CFND between two similar Gaussian distributions takes the form of an absolute sine function, offering a simple analytical form with potential for specialized applications in segmented inverse beta decay (IBD) neutrino detectors, astronomy, machine learning, and more. Although this method may easily extend to 3D scalar fields, our focus here is on 2D real-valued fields as it directly applies to directionality. Our methodology consists of modeling a 2D Gaussian distribution, binning the data into a histogram, and encoding it as a square matrix. Rotating this matrix around its geometric center and comparing it to a measured dataset using the FND gives us rotational data that we fit with an absolute sine function. The location of the minimum of this fit is the angle closest to the true angle of the direction in the measured dataset. We present the derivation and discuss initial applications of the CFND in our novel algorithm, demonstrating its success in approximating directionality in 2D distributions.

Data Analysis, Statistics and Probability (physics