journal article·2026-06-26Open access

Convolutional Neural Networks for Signal Reconstruction in High-Energy Calorimetry

Diogo Alves Cardinot, Bernardo Sotto-Maior Peralva, Gustavo Barbosa Libotte, Luciano Manhães de Andrade

Applied Sciences· Volume 16· Issue 13

Abstract

Particle accelerators are complex facilities that collide particles at extreme high speed, aiming to discover new physics. In this context, high-energy calorimeter systems play a crucial role, as they provide the particle energy quantity, which is important information for the potential new discoveries. Therefore, this work evaluates the performance of the commonly used Optimal Filter (OF) method and several Convolutional Neural Network (CNN) architectures in reconstructing the amplitude and phase of simulated signals that represent the response pulses produced by high-energy calorimeters. The comparison is conducted using quantitative metrics—including RMS, MAE, MedAE, and Coefficient of Determination. The results show that different CNN architectures exhibit varying performances depending on the calorimeter cell occupancy rate but generally outperform the typical linear OF method, providing more accurate signal reconstructions. Considering all evaluated occupancy levels (10%, 50%, 80%, and 100%), the CNN-based approaches achieved an average improvement of approximately 79% in amplitude RMS and 62% in amplitude standard deviation when compared to the OF method. For phase estimation, the CNNs achieved improvements of approximately 26% for both RMS and standard deviation metrics. Although the proposed strategy requires a large execution time due to the training process across multiple folds, these findings indicate that CNNs are promising alternatives for calorimeter energy reconstruction, particularly in high-occupancy conditions such as those expected for high-luminosity experiments.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Particle physics theoretical and experimental studies · Radiation Therapy and Dosimetry · Neutrino Physics Research

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Computational Modeling Department, Polytechnic Institute, Rio de Janeiro State University, Nova Friburgo 28625-570, Brazil

Electrical Circuit Department, Federal University of Juiz de Fora, Juiz de Fora 36036-900, Brazil

Funding

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior · Carlos Chagas Filho Foundation · National Council for Scientific and Technological Development

References (40)

Show source-provided references
1. Griffiths, D. (2008). Introduction to Elementary Particles, Wiley. [2nd ed.].
2. Future colliders for the high-energy frontier10.1016/j.revip.2021.100053 ↗
3. Transformers for Charged Particle Track Reconstruction in High-Energy Physics
4. ATLAS Collaboration (2019). Electron reconstruction and identification in the ATLAS experiment using the 2015 and 2016 LHC proton-proton collision data at s = 13 TeV. Eur. Phys. J. C, 79, 639.
6. Calorimetry for particle physics10.1103/RevModPhys.75.1243 ↗
7. Knoll, G. (2010). Radiation Detection and Measurement, John Wiley & Sons. [4th ed.].
8. Leo, W. (1994). Techniques for Nuclear and Particle Physics Experiments, Springer.10.1007/978-3-642-57920-2 ↗
9. Overview of trigger systems10.1016/S0168-9002(04)01574-8 ↗
10. Wigmans, R. (2017). Calorimetry: Energy Measurement in Particle Physics, Oxford University Press.10.1093/oso/9780198786351.001.0001 ↗
11. ATLAS Collaboration (2010). Readiness of the ATLAS Tile Calorimeter for LHC collisions. Eur. Phys. J. C, 70, 1193–1236.
12. Callier, S., Dulucq, F., de La Taille, C., Martin-Chassard, G., and Seguin-Moreau, N. (November, January 24). SKIROC2, front-end chip designed to readout the Electromagnetic CALorimeter at the ILC. Proceedings of the IEEE Nuclear Science Symposium Conference Record, Orlando, FL, USA.
13. Apollinari, G., Béjar Alonso, I., Brüning, O., Fessia, P., Lamont, M., Rossi, L., and Tavian, L. (2017). High-Luminosity Large Hadron Collider (HL-LHC): Technical Design Report v.0.1, CERN. Technical Report CERN-2017-007-M.10.2172/1767028 ↗
14. Livan, M., and Wigmans, R. (2019). Calorimetry for Collider Physics, an Introduction, Springer.10.1007/978-3-030-23653-3 ↗
15. Crosstalk mitigation in an ATLAS-like high energy liquid argon calorimeter using artificial neural networks10.1016/j.nima.2026.171382 ↗
16. ATLAS Collaboration (2020). Performance of electron and photon triggers in ATLAS during LHC Run 2. Eur. Phys. J. C, 80, 47.
17. Calorimetry with deep learning: Particle simulation and reconstruction for collider physics10.1140/epjc/s10052-020-8251-9 ↗
18. Getting high: High-fidelity simulation of high granularity calorimeters with high speed10.1007/s41781-021-00056-0 ↗
19. Rozinaj, G., and Vargic, R. (2022). Energy Reconstruction Techniques in TileCal Under High Pile-Up Conditions. Proceedings of the Systems, Signals and Image Processing, Springer.10.1007/978-3-030-96878-6 ↗
20. A Maximum Likelihood Approach for Signal Estimation and Data Quality Assessment for High-Energy Calorimeter Systems10.1109/TNS.2025.3630987 ↗
21. Aad, G., Berthold, A.-S., Calvet, T.P., Chiedde, N., Fortin, E., Fritzsche, N., Hentges, R.G., Laatu, L.A.O., Monnier, E., and Straessner, A. (December, January 29). Artificial Neural Networks on FPGAs for Real-Time Energy Reconstruction of the ATLAS LAr Calorimeters. Proceedings of the 20th International Workshop on Advanced Computing and Analysis Techniques in Physics Research (ACAT), Daejeon, Republic of Korea. Available online: https://cds.cern.ch/record/2775033.
22. Dimitrova, K., Kozhuharov, V., and Petkov, P. (2025). Development and Explainability of Models for Machine-Learning-Based Reconstruction of Signals in Particle Detectors. Particles, 8.10.3390/particles8020048 ↗
23. Goodfellow, I., Bengio, Y., and Courville, A. (2016). Deep Learning, MIT Press.
24. 1D Convolutional Neural Networks for Signal Processing Applications
25. Sampling and optimum data processing of detector signals10.1016/0168-9002(92)90040-B ↗
26. Signal processing considerations for liquid ionization calorimeters in a high-rate environment10.1016/0168-9002(94)91332-3 ↗
27. CMS Collaboration (2006). Reconstruction of the signal amplitude of the CMS electromagnetic calorimeter. Eur. Phys. J. C, 46, 23–35.
28. Fullana, E., Castillo, V., Fernández, R., González, V., Henriques, A., Poveda, J., Ruiz, J., Sanchis, E., and Solans, C. (2005). Optimal Filtering in the ATLAS Hadronic Tile Calorimeter, CERN. Technical Report ATL-TILECAL-2005-001.10.1109/RTC.2005.1547479 ↗
29. Quirino, T., Paschoalin, T., Gonçalves, G., Lisboa, P., de Andrade Filho, L., and Peralva, B.M. (2025). Online Pulse Compensation for Energy Spectrum Determination: A Pole-Zero Cancellation and Unfolding Approach. Electronics, 14.10.3390/electronics14030493 ↗
30. Particle Data Group, Workman, R., Burkert, V., Crede, V., Klempt, E., Thoma, U., Tiator, L., Agashe, K., Aielli, G., and Allanach, B.C. (2022). Review of Particle Physics. Prog. Theor. Exp. Phys., 2022, 083C01.
31. Gonçalves, G. (2026, April 16). PulseGenerator: Calorimetry Pulse Simulator. Available online: https://github.com/ingoncalves/calorimetry-pulse-simulator.
32. Lorenzetti Showers: A general-purpose framework for supporting signal reconstruction and triggering with calorimeters10.1016/j.cpc.2023.108671 ↗
33. Ring-like calorimeter information for energy calibration in electron trigger at a highly segmented detector using gradient boosted decision trees10.1088/1748-0221/20/06/P06051 ↗
34. CMS Collaboration (2018). The CMS high-granularity calorimeter for operation at the High-Luminosity LHC. arXiv.
35. Geant4—A Simulation Toolkit10.1016/S0168-9002(03)01368-8 ↗
36. Meyer-Baese, U. (2014). Digital Signal Processing with Field Programmable Gate Arrays, Springer. [4th ed.].
37. Chapman, J. (2011). ATLAS Simulation Computing Performance and Pile-up Simulation in ATLAS. Proceedings of the LPCC Detector Simulation Workshop, CERN.
38. CMS simulation software10.1088/1742-6596/396/2/022003 ↗
39. Upgrade of ATLAS Hadronic Tile Calorimeter for the High Luminosity LHC10.1016/j.nima.2022.167860 ↗
40. Phase-II readout electronics upgrades of the ATLAS LAr calorimeter10.1016/j.nima.2018.11.081 ↗