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Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
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Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
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Sometimes, a data set can have a recorded numerical observation that greatly  deviates from the rest of the data. Assuming that the data is normally distributed, a statistical method called the Grubbs test can be used to determine whether the observation is truly an outlier.  To perform a two-tailed Grubbs test, first, calculate the absolute difference between the outlier and the mean. Then, calculate the ratio between this difference and the standard deviation of the sample. This...
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Identical bonds within a polyatomic group can stretch symmetrically (in-phase) or asymmetrically (out-of-phase). Similar to hydrogen bonding, these vibrations also influence the shape of the IR peak. Generally, asymmetric stretching frequencies are higher than symmetric stretching frequencies. For example, primary amines exhibit two distinct IR peaks between 3300–3500 cm−1 corresponding to the symmetric and asymmetric N-H stretching, while secondary amines exhibit a single...
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Robust resonant anomaly detection with NPLM.

Gaia Grosso1,2,3, Debajyoti Sengupta4, Tobias Golling4

  • 1NSF AI Institute for Artificial Intelligence and Fundamental Interactions, Cambridge, MA USA.

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|October 1, 2025
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Summary
This summary is machine-generated.

The New Physics Learning Machine (NPLM) algorithm offers superior detection performance for rare particle physics events compared to standard Boosted Decision Trees (BDTs). NPLM reduces uncertainty and improves anomaly detection, especially with limited signal data.

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Area of Science:

  • Particle Physics
  • Machine Learning
  • Anomaly Detection

Background:

  • Standard methods like Boosted Decision Trees (BDTs) with CWoLa face challenges in detecting rare signal events.
  • Existing approaches often require prior assumptions about signal models, limiting their applicability.
  • Accurate background modeling is crucial but not always feasible in experimental setups.

Purpose of the Study:

  • To evaluate the New Physics Learning Machine (NPLM) algorithm as an alternative to BDTs for anomaly detection.
  • To explore NPLM's effectiveness in scenarios with rare signals and unreliable background models.
  • To assess NPLM's potential for improving detection performance and reducing uncertainty in particle physics.

Main Methods:

  • Investigated NPLM's end-to-end application for anomaly detection and hypothesis testing.
  • Utilized in-sample evaluation of a binary classifier to estimate log-density ratios.
  • Examined two NPLM approaches: direct application with reliable background and classifier use with hyper-testing for threshold optimization.

Main Results:

  • NPLM-based methods demonstrated superior detection performance over BDT-based approaches, particularly in low signal scenarios.
  • NPLM significantly reduced epistemic variance associated with hyperparameter choices.
  • The NPLM classifier approach, combined with hyper-testing, enhanced performance when background modeling was uncertain.

Conclusions:

  • NPLM presents a promising alternative for robust resonant anomaly detection in particle physics.
  • The algorithm improves sensitivity and consistency, even with signal variability and uncertain background models.
  • This study lays the groundwork for future NPLM-based methods in high-energy physics research.