期刊： FOUNDATIONS OF DATA SCIENCE, 2023; 5 (1)
Several types of synchronization have been described theoretically and observed experimentally. However, the boundaries between the synchronization st......
期刊： FOUNDATIONS OF DATA SCIENCE, 2023; 5 (3)
The problem of interpreting or aggregating multiple rankings is common to many real-world applications. Perhaps the simplest and most common approach ......
期刊： FOUNDATIONS OF DATA SCIENCE, 2023; ()
Hypergraphs are useful mathematical models for describing complex relationships among members of a structured graph, while hyperdigraphs serve as a ge......
期刊： FOUNDATIONS OF DATA SCIENCE, 2023; 5 (1)
Local maxima and minima, or extremal events, in experimental time series can be used as a coarse summary to characterize data. However, the discrete s......
期刊： FOUNDATIONS OF DATA SCIENCE, 2023; ()
Stochastic partial differential equations have been used in a variety of contexts to model the evolution of uncertain dynamical systems. In recent yea......
期刊： FOUNDATIONS OF DATA SCIENCE, 2023; 5 (3)
We study the effect of normalization on the layers of deep neural networks of feed-forward type. A given layer i with Ni hidden units is allowed to be......
期刊： FOUNDATIONS OF DATA SCIENCE, 2023; ()
By approximating posterior distributions with weighted samples, particle filters (PFs) provide an efficient mechanism for solving non-linear sequentia......
期刊： FOUNDATIONS OF DATA SCIENCE, 2023; 5 (3)
We investigate the unsupervised learning of non-invertible observation functions in nonlinear state space models. Assuming abundant data of the observ......
期刊： FOUNDATIONS OF DATA SCIENCE, 2023; 5 (4)
. We propose a hierarchical learning strategy aimed at generating sparse representations and associated models for noisy datasets. The hierarchy follo......
期刊： FOUNDATIONS OF DATA SCIENCE, 2023; ()
Developing reliable methods to discriminate different transient brain states that change over time is a key neuroscientific challenge in brain imaging......
期刊： FOUNDATIONS OF DATA SCIENCE, 2023; 5 (3)
This paper introduces a computational framework to incorporate flexible regularization techniques in ensemble Kalman methods, generalizing the iterati......
期刊： FOUNDATIONS OF DATA SCIENCE, 2023; 5 (4)
Persistent homology is typically computed through persistent co homology. While this generally improves the running time significantly, it does not fa......
期刊： FOUNDATIONS OF DATA SCIENCE, 2023; 5 (4)
. This study examines the identifiability of interaction kernels in mean-field equations of interacting particles or agents, an area of growing intere......
期刊： FOUNDATIONS OF DATA SCIENCE, 2023; 5 (1)
Time-series data are amongst the most widely-used in biomedi-cal sciences, including domains such as functional Magnetic Resonance Imag-ing (fMRI). St......
期刊： FOUNDATIONS OF DATA SCIENCE, 2023; 5 (1)
This paper presents the machine learning-based ensemble condi-tional mean filter (ML-EnCMF) - a filtering method based on the conditional mean filter ......
