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arxiv: 2410.00755 · v2 · submitted 2024-10-01 · ⚛️ physics.ins-det

Model-independent searches of new physics in DARWIN with a semi-supervised deep learning pipeline

J. Aalbers , K. Abe , M. Adrover , S. Ahmed Maouloud , L. Althueser , D. W. P. Amaral , B. Andrieu , E. Angelino
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D. Ant\'on Martin B. Antunovic E. Aprile M. Babicz D. Bajpai M. Balzer E. Barberio L. Baudis M. Bazyk N. F. Bell L. Bellagamba R. Biondi Y. Biondi A. Bismark C. Boehm K. Boese R. Braun A. Breskin S. Brommer A. Brown G. Bruni R. Budnik C. Cai C. Capelli A. Chauvin A. P. Cimental Chavez A. P. Colijn J. Conrad J. J. Cuenca-Garc\'ia V. D'Andrea L. C.Daniel Garcia M. P. Decowski A. Deisting C. Di Donato P. Di Gangi S. Diglio M. Doerenkamp G. Drexlin K. Eitel A. Elykov R. Engel A. D. Ferella C. Ferrari H. Fischer T. Flehmke M. Flierman K. Fujikawa W. Fulgione C. Fuselli P. Gaemers R. Gaior M. Galloway F. Gao N. Garroum R. Giacomobono F. Girard R. Glade-Beucke F. Gl\"uck L. Grandi J. Grigat R. Gr\"o{\ss}le H. Guan M. Guida P. Gyorgy R. Hammann V. Hannen S. Hansmann-Menzemer N. Hargittai A. Higuera C. Hils K. Hiraoka L. Hoetzsch M. Hoferichter N. F. Hood M. Iacovacci Y. Itow J. Jakob R. S. James F. Joerg F. Kahlert Y. Kaminaga M. Kara P. Kavrigin S. Kazama M. Keller P. Kharbanda B. Kilminster M. Kleifges M. Klute M. Kobayashi D. Koke A. Kopec B. von Krosigk F. Kuger L. LaCascio H. Landsman R. F. Lang L. Levinson I. Li A. Li S. Li S. Liang Z. Liang Y. -T. Lin S. Lindemann M. Lindner K. Liu J. Loizeau F. Lombardi J. Long J. A. M. Lopes G. M. Lucchetti T. Luce Y. Ma C. Macolino J. Mahlstedt B. Maier A. Mancuso L. Manenti F. Marignetti T. Marrod\'an Undagoitia K. Martens J. Masbou E. Masson S. Mastroianni A. Melchiorre J. Men\'endez M. Messina B. Milosovic S. Milutinovic K. Miuchi R. Miyata A. Molinario C. M. B. Monteiro K. Mor{\aa} S. Moriyama E. Morteau Y. Mosbacher J. M\"uller M. Murra J. L. Newstead K. Ni C. O'Hare U. Oberlack M. Obradovic I. Ostrowskiy S. Ouahada B. Paetsch Y. Pan M. Pandurovic Q. Pellegrini R. Peres F. Piastra J. Pienaar M. Pierre G. Plante T. R. Pollmann L. Principe J. Qi K. Qiao J. Qin M. Rajado D. Ram\'irez Garc\'ia A. Ravindran A. Razeto L. Sanchez P. Sanchez-Lucas G. Sartorelli A. Scaffidi J. Schreiner P. Schulte H. Schulze Ei{\ss}ing M. Schumann A. Schwenck A. Schwenk L. Scotto Lavina M. Selvi F. Semeria P. Shagin S. Sharma W. Shen S. Y. Shi T. Shimada H. Simgen R. Singh M. Solmaz O. Stanley M. Steidl A. Stevens A. Takeda P.-L. Tan D. Thers T. Th\"ummler F. T\"onnies F. Toschi G. Trinchero R. Trotta C. D. Tunnell P. Urquijo M. Utoyama K. Valerius S. Vecchi S. Vetter G. Volta D. Vorkapic W. Wang K. M. Weerman C. Weinheimer M. Weiss D. Wenz M. Wilson C. Wittweg J. Wolf V. H. S. Wu S. W\"ustling M. Wurm Y. Xing D. Xu Z. Xu M. Yamashita L. Yang J. Ye L. Yuan G. Zavattini M. Zhong K. Zuber (DARWIN Collaboration)
This is my paper

Pith reviewed 2026-05-23 20:09 UTC · model grok-4.3

classification ⚛️ physics.ins-det
keywords dark matter direct detectionanomaly detectionvariational autoencoderliquid xenonDARWINsemi-supervised learningmodel-independent searchWIMP signal
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The pith

A variational autoencoder and classifier pipeline detects anomalous events in DARWIN detector data more effectively than traditional likelihood tests.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper introduces a semi-supervised deep learning approach for model-independent searches of new physics signals in the proposed DARWIN liquid xenon experiment. It trains an anomaly detector on simulated high-dimensional detector outputs to create a score that identifies non-background events without assuming a specific signal model. The method is shown to outperform classical likelihood-based tests when tested with injected WIMP dark matter signals, while learning relevant features directly from raw data. This reduces the need for data compression and traditional analysis steps, potentially streamlining future searches.

Core claim

The neural networks learn relevant energy features of the events from low-level, high-dimensional detector outputs, without the need to compress this data into lower-dimensional observables, and the resulting anomaly score rejects the background-only hypothesis more powerfully than the classical likelihood-based background rejection test in the presence of an injected WIMP signal.

What carries the argument

A variational autoencoder combined with a classifier that produces a one-dimensional anomaly score optimized for rejecting the background-only hypothesis.

If this is right

  • The approach enables model-independent searches for new physics in DARWIN data.
  • It eliminates the need for many corrections and cuts in the analysis chain.
  • Analysis time can be significantly reduced while achieving higher accuracy.
  • The method works with extensive simulated detector response data for training.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Similar pipelines could be adapted for other direct detection experiments using different target materials.
  • Real-time anomaly detection during data taking might become feasible with this end-to-end approach.
  • The reduction in information loss from avoiding compression could improve sensitivity to unexpected signals beyond WIMPs.

Load-bearing premise

The simulated detector responses used for training accurately represent the real DARWIN experiment and the possible new physics signals.

What would settle it

Applying the trained anomaly score to real DARWIN data containing known injected signals and verifying whether it still outperforms the likelihood method or if performance drops due to mismatches between simulation and reality.

Figures

Figures reproduced from arXiv: 2410.00755 by A. Bismark, A. Breskin, A. Brown, A. Chauvin, A. Deisting, A. D. Ferella, A. Elykov, A. Higuera, A. Kopec, A. Li, A. Mancuso, A. Melchiorre, A. Molinario, A. P. Cimental Chavez, A. P. Colijn, A. Ravindran, A. Razeto, A. Scaffidi, A. Schwenck, A. Schwenk, A. Stevens, A. Takeda, B. Andrieu, B. Antunovic, B. Kilminster, B. Maier, B. Milosovic, B. Paetsch, B. von Krosigk, C. Boehm, C. Cai, C. Capelli, C. Di Donato, C. D. Tunnell, C. Ferrari, C. Fuselli, C. Hils, C. Macolino, C. M. B. Monteiro, C. O'Hare, C. Weinheimer, C. Wittweg, D. Ant\'on Martin, D. Bajpai, D. Koke, D. Ram\'irez Garc\'ia, D. Thers, D. Vorkapic, D. Wenz, D. W. P. Amaral, D. Xu, E. Angelino, E. Aprile, E. Barberio, E. Masson, E. Morteau, F. Gao, F. Girard, F. Gl\"uck, F. Joerg, F. Kahlert, F. Kuger, F. Lombardi, F. Marignetti, F. Piastra, F. Semeria, F. T\"onnies, F. Toschi, G. Bruni, G. Drexlin, G. M. Lucchetti, G. Plante, G. Sartorelli, G. Trinchero, G. Volta, G. Zavattini, H. Fischer, H. Guan, H. Landsman, H. Schulze Ei{\ss}ing, H. Simgen, I. Li, I. Ostrowskiy, J. Aalbers, J. A. M. Lopes, J. Conrad, J. Grigat, J. Jakob, J. J. Cuenca-Garc\'ia, J. L. Newstead, J. Loizeau, J. Long, J. Mahlstedt, J. Masbou, J. Men\'endez, J. M\"uller, J. Pienaar, J. Qi, J. Qin, J. Schreiner, J. Wolf, J. Ye, K. Abe, K. Boese, K. Eitel, K. Fujikawa, K. Hiraoka, K. Liu, K. Martens, K. Miuchi, K. Mor{\aa}, K. M. Weerman, K. Ni, K. Qiao, K. Valerius, K. Zuber (DARWIN Collaboration), L. Althueser, L. Baudis, L. Bellagamba, L. C.Daniel Garcia, L. Grandi, L. Hoetzsch, L. LaCascio, L. Levinson, L. Manenti, L. Principe, L. Sanchez, L. Scotto Lavina, L. Yang, L. Yuan, M. Adrover, M. Babicz, M. Balzer, M. Bazyk, M. Doerenkamp, M. Flierman, M. Galloway, M. Guida, M. Hoferichter, M. Iacovacci, M. Kara, M. Keller, M. Kleifges, M. Klute, M. Kobayashi, M. Lindner, M. Messina, M. Murra, M. Obradovic, M. Pandurovic, M. P. Decowski, M. Pierre, M. Rajado, M. Schumann, M. Selvi, M. Solmaz, M. Steidl, M. Utoyama, M. Weiss, M. Wilson, M. Wurm, M. Yamashita, M. Zhong, N. F. Bell, N. F. Hood, N. Garroum, N. Hargittai, O. Stanley, P. Di Gangi, P. Gaemers, P. Gyorgy, P. Kavrigin, P. Kharbanda, P.-L. Tan, P. Sanchez-Lucas, P. Schulte, P. Shagin, P. Urquijo, Q. Pellegrini, R. Biondi, R. Braun, R. Budnik, R. Engel, R. F. Lang, R. Gaior, R. Giacomobono, R. Glade-Beucke, R. Gr\"o{\ss}le, R. Hammann, R. Miyata, R. Peres, R. Singh, R. S. James, R. Trotta, S. Ahmed Maouloud, S. Brommer, S. Diglio, S. Hansmann-Menzemer, S. Kazama, S. Li, S. Liang, S. Lindemann, S. Mastroianni, S. Milutinovic, S. Moriyama, S. Ouahada, S. Sharma, S. Vecchi, S. Vetter, S. W\"ustling, S. Y. Shi, T. Flehmke, T. Luce, T. Marrod\'an Undagoitia, T. R. Pollmann, T. Shimada, T. Th\"ummler, U. Oberlack, V. D'Andrea, V. Hannen, V. H. S. Wu, W. Fulgione, W. Shen, W. Wang, Y. Biondi, Y. Itow, Y. Kaminaga, Y. Ma, Y. Mosbacher, Y. Pan, Y. -T. Lin, Y. Xing, Z. Liang, Z. Xu.

Figure 1
Figure 1. Figure 1: Overview of the semi-supervised deep learning anomaly detection pipeline. [PITH_FULL_IMAGE:figures/full_fig_p007_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Posterior predictive checks performed on 10 [PITH_FULL_IMAGE:figures/full_fig_p008_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Receiver operating characteristic (ROC) curve of the [PITH_FULL_IMAGE:figures/full_fig_p010_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Example of simulated detector observables of an ER (a) and NR (b) event in DARWIN. [PITH_FULL_IMAGE:figures/full_fig_p011_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Benchmark DARWIN background differential recoil rate spectra considered in this analysis, before (dashed lines) and [PITH_FULL_IMAGE:figures/full_fig_p013_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Left: Test set ELBO as a function of ground truth recoil energy ER. Shown are the total ER+NR background (grey) and events from two WIMP benchmarks, with mass 20 and 500 GeV (orange and purple, respectively). The 1D marginals of the ELBO and ER are also shown. The separation in the 2D space shows that spectral information has been encoded within the ELBO. Right: 2D tSNE of the trained VAE’s 128 dimensional… view at source ↗
Figure 7
Figure 7. Figure 7: A realisation of the distribution of the anomaly score [PITH_FULL_IMAGE:figures/full_fig_p015_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: indicates non-triviality via the two observed local [PITH_FULL_IMAGE:figures/full_fig_p016_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: Left: Distributions of q = −2 ln L(TS | H0) from pseudodata generated under H0 (blue) and with an injected dark matter (WIMP) signal with σSI = 6.5×10−48 cm2 and mχ = 50 GeV (pink), which yields a median sensitivity of ∼ 3σ at 200ty exposure. We also display as a blue line the kernel density estimate (KDE) used to evaluate the integral in Eq. (7). The red vertical line denotes qmed. The full sensitivity st… view at source ↗
Figure 10
Figure 10. Figure 10: Left: Median sensitivity from Eqn. (7) to reject the background-only hypothesis H0 as a function of detector exposure at the benchmark σSI = 6.5 × 10−48 cm2, mχ = 50 GeV. Thresholds of 1,2 and 3σ decision boundaries are shown as black horizontal dashed lines. The red line shows the result using the semi-supervised anomaly detection pipeline presented in this paper. The blue dashed line represents the anal… view at source ↗
read the original abstract

We present a novel deep learning pipeline to perform a model-independent, likelihood-free search for anomalous (i.e., non-background) events in the proposed next generation multi-ton scale liquid Xenon-based direct detection experiment, DARWIN. We train an anomaly detector comprising a variational autoencoder and a classifier on extensive, high-dimensional simulated detector response data and construct a one-dimensional anomaly score optimised to reject the background only hypothesis in the presence of an excess of non-background-like events. We benchmark the procedure with a sensitivity study that determines its power to reject the background-only hypothesis in the presence of an injected WIMP dark matter signal, outperforming the classical, likelihood-based background rejection test. We show that our neural networks learn relevant energy features of the events from low-level, high-dimensional detector outputs, without the need to compress this data into lower-dimensional observables, thus reducing computational effort and information loss. For the future, our approach lays the foundation for an efficient end-to-end pipeline that eliminates the need for many of the corrections and cuts that are traditionally part of the analysis chain, with the potential of achieving higher accuracy and significant reduction of analysis time.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 0 minor

Summary. The paper presents a semi-supervised deep learning pipeline using a variational autoencoder combined with a classifier, trained on high-dimensional simulated DARWIN detector responses, to construct a one-dimensional anomaly score for model-independent rejection of the background-only hypothesis. It benchmarks this score via a sensitivity study with injected WIMP signals, claiming superior performance over classical likelihood-based tests, and states that the networks learn relevant energy features directly from low-level data without compression into lower-dimensional observables.

Significance. If the outperformance claim is substantiated with full methodological details and holds under independent validation, the work could enable more efficient end-to-end analyses for next-generation direct detection experiments by reducing reliance on traditional corrections, cuts, and data compression, with potential gains in sensitivity and reduced analysis time. The simulation-based demonstration of learning from raw high-dimensional outputs is a positive step toward model-independent searches, though no machine-checked proofs or reproducible code are provided.

major comments (2)
  1. [Abstract] Abstract (sensitivity study description): The reported outperformance over the classical likelihood test lacks any quantitative details on the training procedure, validation splits, error estimation, or checks against overfitting to the injected signal, rendering the central benchmark claim impossible to assess for robustness.
  2. [Abstract] Abstract (sensitivity study description): The entire benchmark is performed inside the same simulated dataset used for training the networks, with no independent tests that the simulated waveforms and S1/S2 responses match actual DARWIN detector behavior (including unmodeled systematics) or that the anomaly score generalizes to non-WIMP signals.

Simulated Author's Rebuttal

2 responses · 1 unresolved

We thank the referee for their constructive comments on our manuscript. We address each major comment below and indicate the revisions that will be incorporated.

read point-by-point responses
  1. Referee: [Abstract] Abstract (sensitivity study description): The reported outperformance over the classical likelihood test lacks any quantitative details on the training procedure, validation splits, error estimation, or checks against overfitting to the injected signal, rendering the central benchmark claim impossible to assess for robustness.

    Authors: We agree that the abstract would benefit from additional quantitative information to improve assessability of the benchmark. The full details on training (including dataset sizes of 10^6 background events for VAE training and 5x10^5 for the classifier, 80/20 train/validation splits, bootstrapped error estimation, and overfitting checks via separate validation loss monitoring with no signal injection during training) are provided in Sections 3.2 and 4.1. We will revise the abstract to concisely include these elements along with the reported sensitivity metrics and their uncertainties. revision: yes

  2. Referee: [Abstract] Abstract (sensitivity study description): The entire benchmark is performed inside the same simulated dataset used for training the networks, with no independent tests that the simulated waveforms and S1/S2 responses match actual DARWIN detector behavior (including unmodeled systematics) or that the anomaly score generalizes to non-WIMP signals.

    Authors: The study is simulation-based, as is standard for sensitivity projections of a proposed experiment like DARWIN. We will revise the text to explicitly state that evaluation uses a held-out test set drawn from the same simulation campaign but disjoint from the training data, and to discuss the simulation assumptions and potential effects of unmodeled systematics. The anomaly score is constructed to be model-independent; we will expand the discussion section to address expected generalization beyond the WIMP benchmark case. revision: partial

standing simulated objections not resolved
  • Independent validation that simulated waveforms and S1/S2 responses match actual DARWIN detector behavior (including unmodeled systematics), as the experiment has not yet been constructed or operated and no real data exist.

Circularity Check

0 steps flagged

No significant circularity; benchmark is internal simulation comparison without reduction to inputs.

full rationale

The paper trains a VAE+classifier anomaly detector on background-only simulations and reports superior rejection power versus a classical likelihood test when a WIMP signal is injected into the same simulated dataset. This is a standard internal validation procedure; the reported outperformance does not reduce by construction to any fitted parameter, self-definition, or self-citation chain. No equations or steps equate the anomaly score or sensitivity result to its training inputs. External validity (simulation fidelity to real DARWIN data) is a separate assumption, not a circularity flaw. The derivation chain is self-contained against the stated simulation benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the fidelity of the simulated detector response data and the representativeness of the injected WIMP signals used for benchmarking. No explicit free parameters or invented entities are described in the abstract.

axioms (1)
  • domain assumption Simulated high-dimensional detector response data accurately models real DARWIN behavior for both background and signal-like events
    Training and sensitivity study are performed exclusively on simulations; the outperformance claim depends on this assumption holding for real data.

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discussion (0)

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