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Parameterized Machine Learning for High-Energy Physics (1601.07913v1)

Published 28 Jan 2016 in hep-ex, cs.LG, and hep-ph

Abstract: We investigate a new structure for machine learning classifiers applied to problems in high-energy physics by expanding the inputs to include not only measured features but also physics parameters. The physics parameters represent a smoothly varying learning task, and the resulting parameterized classifier can smoothly interpolate between them and replace sets of classifiers trained at individual values. This simplifies the training process and gives improved performance at intermediate values, even for complex problems requiring deep learning. Applications include tools parameterized in terms of theoretical model parameters, such as the mass of a particle, which allow for a single network to provide improved discrimination across a range of masses. This concept is simple to implement and allows for optimized interpolatable results.

Citations (224)

Summary

  • The paper introduces a parameterized approach that integrates both event features and physics parameters into a single neural network.
  • The method efficiently interpolates across various scenarios and achieves discrimination power comparable to dedicated models.
  • The approach enhances computational efficiency in high-energy physics by reducing the need for multiple trained models.

Overview of "Parameterized Machine Learning for High-Energy Physics"

The paper "Parameterized Machine Learning for High-Energy Physics" explores an innovative approach in applying machine learning classifiers to challenges typical in high-energy physics (HEP). Specifically, it introduces parameterized classifiers that accommodate both measured features and physics parameters, providing a solution to a range of tasks that conventionally require multiple trained models for different parameter values.

Conceptual Framework

Traditional machine learning models in high-energy physics are often tailored for a specific scenario or particle mass, which necessitates training distinct models for each possibility of interest. The proposed parameterized neural networks, however, incorporate physics parameters directly into the input space, allowing a single model to interpolate between various scenarios. This significantly streamlines the process and enhances performance across unobserved parameter values. The approach is versatile and applicable to any classification algorithm, although it leverages the smooth interpolation capabilities inherent in neural networks rather than tree-based methods.

Implementation and Results

The authors implement this methodology with a focus on tasks such as signal-background discrimination for varying masses of a hypothetical particle. Training these parameterized networks involves integrating event-level features and parameters, effectively translating the learning task into an extended feature space problem. Their experiments demonstrate the capacity of parameterized networks to deliver high discrimination power equivalent to networks specifically trained at each parameter value, even for cases they were not explicitly trained on, thus validating the interpolation capability of these networks.

High-Dimensional Use Cases

Demonstrating their approach, the authors delve into more complex scenarios involving a greater number of parameters and features. Remarkably, the parameterized network handles diverse high-dimensional input efficiently, showcasing robustness in tasks including hypothesized particle detection with a variety of potential decay channels. Performance comparisons reveal that these networks outperform traditional fixed or ensemble models across a range of scenarios, maintaining accuracy and classification power.

Implications and Future Prospects

This research holds substantial theoretical and practical implications for high-energy physics and beyond. By integrating parameter spaces into a single neural framework, the method alleviates the computational load of training multiple models, contributes to more efficient use of simulation data, and potentially enhances the interpretability of model results in varying physical contexts. Additionally, such parameterized models can incorporate nuisance parameters representing systematic uncertainties, beneficially aligning with complex statistical inference techniques in physics analyses.

Future developments may extend the methodology to embed more intricate parameter spaces or handle dynamically evolving scenarios as more data becomes available, potentially across different domains. The adoption of parameterized machine learning could significantly enhance the flexibility and utility of AI models in scientific research, fostering further exploratory synergy between neural network architectures and empirical scientific challenges.