Attractor and integrator networks in the brain
In this Review, we describe the singular success of attractor neural network models in
describing how the brain maintains persistent activity states for working memory, corrects …
describing how the brain maintains persistent activity states for working memory, corrects …
[HTML][HTML] Networks beyond pairwise interactions: Structure and dynamics
The complexity of many biological, social and technological systems stems from the richness
of the interactions among their units. Over the past decades, a variety of complex systems …
of the interactions among their units. Over the past decades, a variety of complex systems …
Omicron variant (B. 1.1. 529): infectivity, vaccine breakthrough, and antibody resistance
The latest severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) variant Omicron
(B. 1.1. 529) has ushered panic responses around the world due to its contagious and …
(B. 1.1. 529) has ushered panic responses around the world due to its contagious and …
Omicron BA. 2 (B. 1.1. 529.2): high potential for becoming the next dominant variant
The Omicron variant has three subvariants: BA. 1 (B. 1.1. 529.1), BA. 2 (B. 1.1. 529.2), and
BA. 3 (B. 1.1. 529.3). BA. 2 is found to be able to alarmingly reinfect patients originally …
BA. 3 (B. 1.1. 529.3). BA. 2 is found to be able to alarmingly reinfect patients originally …
What are higher-order networks?
Network-based modeling of complex systems and data using the language of graphs has
become an essential topic across a range of different disciplines. Arguably, this graph-based …
become an essential topic across a range of different disciplines. Arguably, this graph-based …
A survey of topological machine learning methods
The last decade saw an enormous boost in the field of computational topology: methods and
concepts from algebraic and differential topology, formerly confined to the realm of pure …
concepts from algebraic and differential topology, formerly confined to the realm of pure …
Ripser: efficient computation of Vietoris–Rips persistence barcodes
U Bauer - Journal of Applied and Computational Topology, 2021 - Springer
We present an algorithm for the computation of Vietoris–Rips persistence barcodes and
describe its implementation in the software Ripser. The method relies on implicit …
describe its implementation in the software Ripser. The method relies on implicit …
[HTML][HTML] An introduction to topological data analysis: fundamental and practical aspects for data scientists
Topological Data Analysis (TDA) is a recent and fast growing field providing a set of new
topological and geometric tools to infer relevant features for possibly complex data. This …
topological and geometric tools to infer relevant features for possibly complex data. This …
Accelerated hierarchical density based clustering
L McInnes, J Healy - 2017 IEEE international conference on …, 2017 - ieeexplore.ieee.org
We present an accelerated algorithm for hierarchical density based clustering. Our new
algorithm improves upon HDBSCAN*, which itself provided a significant qualitative …
algorithm improves upon HDBSCAN*, which itself provided a significant qualitative …
Higher-order organization of multivariate time series
Time series analysis has proven to be a powerful method to characterize several
phenomena in biology, neuroscience and economics, and to understand some of their …
phenomena in biology, neuroscience and economics, and to understand some of their …