Related Concept Videos
Prediction Intervals
2.6K
The interval estimate of any variable is known as the prediction interval. It helps decide if a point estimate is dependable.
However, the point estimate is most likely not the exact value of the population parameter, but close to it. After calculating point estimates, we construct interval estimates, called confidence intervals or prediction intervals. This prediction interval comprises a range of values unlike the point estimate and is a better predictor of the observed sample value, y.
However, the point estimate is most likely not the exact value of the population parameter, but close to it. After calculating point estimates, we construct interval estimates, called confidence intervals or prediction intervals. This prediction interval comprises a range of values unlike the point estimate and is a better predictor of the observed sample value, y.
2.6K
Mechanistic Models: Compartment Models in Individual and Population Analysis
137
Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least...
137
Survival Tree
210
Survival trees are a non-parametric method used in survival analysis to model the relationship between a set of covariates and the time until an event of interest occurs, often referred to as the "time-to-event" or "survival time." This method is particularly useful when dealing with censored data, where the event has not occurred for some individuals by the end of the study period, or when the exact time of the event is unknown.
Building a Survival Tree
Constructing a...
Building a Survival Tree
Constructing a...
210
Probability Laws
42.7K
Overview
42.7K
Hindsight Biases
4.1K
Hindsight bias leads you to believe that the event you just experienced was predictable, even though it really wasn’t. In other words, you knew all along that things would turn out the way they did. Can you relate this to the phrase "Hindsight is 20/20" now?
4.1K
Reliability and Validity
13.4K
Reliability and validity are two important considerations that must be made with any type of data collection. Reliability refers to the ability to consistently produce a given result. In the context of psychological research, this would mean that any instruments or tools used to collect data do so in consistent, reproducible ways.
13.4K
You might also read
Related Articles
Articles linked to this work by shared authors, journal, and citation graph.
Sort by
Same author
Confronting pitfalls of AI-augmented molecular dynamics using statistical physics.
The Journal of chemical physics·2020
Same author
Understanding the role of predictive time delay and biased propagator in RAVE.
The Journal of chemical physics·2020
Same author
Reaction coordinates and rate constants for liquid droplet nucleation: Quantifying the interplay between driving force and memory.
The Journal of chemical physics·2019
Same journal
The influence of chirality on the macroscopic behavior of multiferroic smectic phases.
The Journal of chemical physics·2026
Same journal
Polaron transformed canonically consistent quantum master equation.
The Journal of chemical physics·2026
Same journal
The x-ray absorption spectrum of the propargyl radical C3H3●.
The Journal of chemical physics·2026
Same journal
Transient hydroperoxyalkyl intermediates (•QOOH) in isopentane oxidation. I. Conformer- and isomer-resolved infrared spectra.
The Journal of chemical physics·2026
Same journal
Transient hydroperoxyalkyl intermediates (•QOOH) in isopentane oxidation. II. Isomer-resolved unimolecular dynamics.
The Journal of chemical physics·2026
Same journal
Quantum state-to-state dynamics studies of the C(3P) + OH(X2Π) → CO(a3Π) + H(2S) reaction based on a new HCO(12A″) potential energy surface.
The Journal of chemical physics·2026
State predictive information bottleneck.
1Biophysics Program and Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742, USA.
The Journal of Chemical Physics
|April 9, 2021
Summary
This study introduces a deep learning method to find reaction coordinates (RCs) from molecular dynamics data. The approach connects machine learning with physics, offering control over coarse-graining for metastable state classification.
Area of Science:
- Computational chemistry
- Statistical mechanics
- Machine learning
Background:
- Analyzing high-dimensional molecular dynamics data requires identifying low-dimensional manifolds, often termed reaction coordinates (RCs), to capture slow dynamics and distinguish metastable states.
- Existing machine learning methods for learning these manifolds are often criticized for lacking physical interpretability and connection to traditional chemical physics concepts.
Purpose of the Study:
- To develop a deep learning approach that learns interpretable reaction coordinates (RCs) from molecular simulation data.
- To bridge the gap between data-driven machine learning and physically meaningful interpretations in molecular dynamics analysis.
Main Methods:
- A deep learning-based state predictive information bottleneck approach was developed to learn the RC from high-dimensional molecular simulation trajectories.
- The method analytically and numerically demonstrates the connection between the learned RC and the committor, a key concept in chemical physics for identifying transition states.
Main Results:
- The learned RC accurately identifies transition states and is demonstrably linked to the committor.
- A crucial hyperparameter, the time delay, provides adjustable control over the coarse-graining level for metastable state classification.
- Comparisons on benchmark systems validated the effectiveness and control offered by the method.
Conclusions:
- This work presents a significant advancement in applying deep learning to molecular simulations by providing a physically interpretable framework.
- The developed method offers a systematic way to learn reaction coordinates and control the granularity of metastable state analysis.


