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Found 9 papers, 3 papers with code
Accelerated Jarzynski Estimator with Deterministic Virtual Trajectories
The Jarzynski estimator is a powerful tool that uses nonequilibrium statistical physics to numerically obtain partition functions of probability distributions.
Evaluating the phase dynamics of coupled oscillators via time-variant topological features
By characterizing the phase dynamics in coupled oscillators, we gain insights into the fundamental phenomena of complex systems.
Topological Persistence Machine of Phase Transitions
Topological data analysis is an emerging framework for characterizing the shape of data and has recently achieved success in detecting structural transitions in material science, such as the glass--liquid transition.
Entropy production estimation with optimal current
Notably, the obtained tightest lower bound is intimately related to the multidimensional thermodynamic uncertainty relation.
Statistical Mechanics
Gradient Boosts the Approximate Vanishing Ideal
In the last decade, the approximate vanishing ideal and its basis construction algorithms have been extensively studied in computer algebra and machine learning as a general model to reconstruct the algebraic variety on which noisy data approximately lie.
Spurious Vanishing Problem in Approximate Vanishing Ideal
We further propose a method that takes advantage of the iterative nature of basis construction so that computationally costly operations for coefficient normalization can be circumvented.
Scale-variant topological information for characterizing complex networks
Real-world networks are difficult to characterize because of the variation of topological scales, the non-dyadic complex interactions and the fluctuations.
Social and Information Networks Algebraic Topology Physics and Society
Topological time-series analysis with delay-variant embedding
This method reveals multiple-time-scale patterns in a time series by allowing observation of variations in topological features, with time delay serving as an extra dimension in topological-feature space.
Data Analysis, Statistics and Probability
Approximate Vanishing Ideal via Data Knotting
The present paper proposes a vanishing ideal that is tolerant to noisy data and also pursued to have a better algebraic structure.
