Adaptive gradient scaling: integrating Adam and landscape modification for protein structure prediction

Abstract Background Protein structure prediction is one of the most important scientific problems, on the one hand, it is one of the NP-hard problems, and on the other hand, it has a wide range of applications including drug discovery and biotechnology development. Since experimental methods for str...

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Main Authors: Vitalii Kapitan, Michael Choi
Format: Article
Language:English
Published: BMC 2025-07-01
Series:BMC Bioinformatics
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Online Access:https://doi.org/10.1186/s12859-025-06185-2
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author Vitalii Kapitan
Michael Choi
author_facet Vitalii Kapitan
Michael Choi
author_sort Vitalii Kapitan
collection DOAJ
description Abstract Background Protein structure prediction is one of the most important scientific problems, on the one hand, it is one of the NP-hard problems, and on the other hand, it has a wide range of applications including drug discovery and biotechnology development. Since experimental methods for structure determination remain expensive and time-consuming, computational structure prediction offers a scalable and cost-effective alternative and application of machine learning in structural biology has revolutionized protein structure prediction. Despite their success, machine learning methods face fundamental limitations in optimizing complex high-dimensional energy landscapes, which motivates research into new methods to improve the robustness and performance of optimization algorithms. Results This study presents a novel approach to protein structure prediction by integrating the Landscape Modification (LM) method with the Adam optimizer for OpenFold. The main idea is to change the optimization dynamics by introducing a gradient scaling mechanism based on energy landscape transformations. LM dynamically adjusts gradients using a threshold parameter and a transformation function, thereby improving the optimizer’s ability to avoid local minima, more efficiently traverse flat or rough landscape regions, and potentially converge faster to global or high-quality local optima. By integrating simulated annealing into the LM approach, we propose LM SA, a variant designed to improve convergence stability while facilitating more efficient exploration of complex landscapes. Conclusion We compare the performance of standard Adam, LM, and LM SA on different datasets and computational conditions. Performance was evaluated using Loss function values, predicted Local Distance Difference Test (pLDDT), distance-based Root Mean Square Deviation (dRMSD), and Template Modeling (TM) scores. Our results show that LM and LM SA outperform the standard Adam across all metrics, showing faster convergence and better generalization, particularly on proteins not included in the training set. These results demonstrate that integrating landscape-aware gradient scaling into first-order optimizers advances research in computational optimization and improves prediction performance for complex problems such as protein folding.
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spelling doaj-art-563a272e304042a89cfe8feaf6706a632025-08-20T03:45:38ZengBMCBMC Bioinformatics1471-21052025-07-0126113510.1186/s12859-025-06185-2Adaptive gradient scaling: integrating Adam and landscape modification for protein structure predictionVitalii Kapitan0Michael Choi1Department of Statistics and Data Science, National University of SingaporeDepartment of Statistics and Data Science, National University of SingaporeAbstract Background Protein structure prediction is one of the most important scientific problems, on the one hand, it is one of the NP-hard problems, and on the other hand, it has a wide range of applications including drug discovery and biotechnology development. Since experimental methods for structure determination remain expensive and time-consuming, computational structure prediction offers a scalable and cost-effective alternative and application of machine learning in structural biology has revolutionized protein structure prediction. Despite their success, machine learning methods face fundamental limitations in optimizing complex high-dimensional energy landscapes, which motivates research into new methods to improve the robustness and performance of optimization algorithms. Results This study presents a novel approach to protein structure prediction by integrating the Landscape Modification (LM) method with the Adam optimizer for OpenFold. The main idea is to change the optimization dynamics by introducing a gradient scaling mechanism based on energy landscape transformations. LM dynamically adjusts gradients using a threshold parameter and a transformation function, thereby improving the optimizer’s ability to avoid local minima, more efficiently traverse flat or rough landscape regions, and potentially converge faster to global or high-quality local optima. By integrating simulated annealing into the LM approach, we propose LM SA, a variant designed to improve convergence stability while facilitating more efficient exploration of complex landscapes. Conclusion We compare the performance of standard Adam, LM, and LM SA on different datasets and computational conditions. Performance was evaluated using Loss function values, predicted Local Distance Difference Test (pLDDT), distance-based Root Mean Square Deviation (dRMSD), and Template Modeling (TM) scores. Our results show that LM and LM SA outperform the standard Adam across all metrics, showing faster convergence and better generalization, particularly on proteins not included in the training set. These results demonstrate that integrating landscape-aware gradient scaling into first-order optimizers advances research in computational optimization and improves prediction performance for complex problems such as protein folding.https://doi.org/10.1186/s12859-025-06185-2Protein foldingOpenFoldAdam optimizerLandscape modification
spellingShingle Vitalii Kapitan
Michael Choi
Adaptive gradient scaling: integrating Adam and landscape modification for protein structure prediction
BMC Bioinformatics
Protein folding
OpenFold
Adam optimizer
Landscape modification
title Adaptive gradient scaling: integrating Adam and landscape modification for protein structure prediction
title_full Adaptive gradient scaling: integrating Adam and landscape modification for protein structure prediction
title_fullStr Adaptive gradient scaling: integrating Adam and landscape modification for protein structure prediction
title_full_unstemmed Adaptive gradient scaling: integrating Adam and landscape modification for protein structure prediction
title_short Adaptive gradient scaling: integrating Adam and landscape modification for protein structure prediction
title_sort adaptive gradient scaling integrating adam and landscape modification for protein structure prediction
topic Protein folding
OpenFold
Adam optimizer
Landscape modification
url https://doi.org/10.1186/s12859-025-06185-2
work_keys_str_mv AT vitaliikapitan adaptivegradientscalingintegratingadamandlandscapemodificationforproteinstructureprediction
AT michaelchoi adaptivegradientscalingintegratingadamandlandscapemodificationforproteinstructureprediction