Tackling the subsampling problem to infer collective properties from limited data

A Levina, V Priesemann, J Zierenberg - Nature Reviews Physics, 2022‏ - nature.com
Despite the development of large-scale data-acquisition techniques, experimental
observations of complex systems are often limited to a tiny fraction of the system under …

Objective Bayesian edge screening and structure selection for Ising networks

M Marsman, K Huth, LJ Waldorp, I Ntzoufras - psychometrika, 2022‏ - cambridge.org
The Ising model is one of the most widely analyzed graphical models in network
psychometrics. However, popular approaches to parameter estimation and structure …

A unifying framework for mean-field theories of asymmetric kinetic Ising systems

M Aguilera, SA Moosavi, H Shimazaki - Nature communications, 2021‏ - nature.com
Kinetic Ising models are powerful tools for studying the non-equilibrium dynamics of
complex systems. As their behavior is not tractable for large networks, many mean-field …

Efficient Bayesian inference of sigmoidal Gaussian Cox processes

C Donner, M Opper - Journal of Machine Learning Research, 2018‏ - jmlr.org
We present an approximate Bayesian inference approach for estimating the intensity of a
inhomogeneous Poisson process, where the intensity function is modelled using a Gaussian …

Efficient inference for dynamic flexible interactions of neural populations

F Zhou, Q Kong, Z Deng, J Kan, Y Zhang… - Journal of Machine …, 2022‏ - jmlr.org
Hawkes process provides an effective statistical framework for analyzing the interactions of
neural spiking activities. Although utilized in many real applications, the classic Hawkes …

Ensemble learning and ground-truth validation of synaptic connectivity inferred from spike trains

C Donner, J Bartram, P Hornauer, T Kim… - PLOS Computational …, 2024‏ - journals.plos.org
Probing the architecture of neuronal circuits and the principles that underlie their functional
organization remains an important challenge of modern neurosciences. This holds true, in …

Multi-class Gaussian process classification made conjugate: Efficient inference via data augmentation

T Galy-Fajou, F Wenzel, C Donner… - Uncertainty in artificial …, 2020‏ - proceedings.mlr.press
We propose a new scalable multi-class Gaussian process classification approach building
on a novel modified softmax likelihood function. The new likelihood has two benefits: it leads …

Learning phase transitions from regression uncertainty: a new regression-based machine learning approach for automated detection of phases of matter

W Guo, L He - New Journal of Physics, 2023‏ - iopscience.iop.org
For performing regression tasks involved in various physics problems, enhancing the
precision or equivalently reducing the uncertainty of regression results is undoubtedly one of …

Efficient inference of flexible interaction in spiking-neuron networks

F Zhou, Y Zhang, J Zhu - arxiv preprint arxiv:2006.12845, 2020‏ - arxiv.org
Hawkes process provides an effective statistical framework for analyzing the time-dependent
interaction of neuronal spiking activities. Although utilized in many real applications, the …

Nonstationary Gaussian process discriminant analysis with variable selection for high-dimensional functional data

W Yu, S Wade, HD Bondell, L Azizi - Journal of Computational and …, 2023‏ - Taylor & Francis
High-dimensional classification and feature selection tasks are ubiquitous with the recent
advancement in data acquisition technology. In several application areas such as biology …