Complex network approaches to nonlinear time series analysis

Y Zou, RV Donner, N Marwan, JF Donges, J Kurths - Physics Reports, 2019 - Elsevier
In the last decade, there has been a growing body of literature addressing the utilization of
complex network methods for the characterization of dynamical systems based on time …

Multifractal analysis of financial markets: A review

ZQ Jiang, WJ Xie, WX Zhou… - Reports on Progress in …, 2019 - iopscience.iop.org
Multifractality is ubiquitously observed in complex natural and socioeconomic systems.
Multifractal analysis provides powerful tools to understand the complex nonlinear nature of …

[HTML][HTML] Modern language models refute Chomsky's approach to language

ST Piantadosi - From fieldwork to linguistic theory: A tribute to …, 2023 - books.google.com
Modern machine learning has subverted and bypassed the theoretical framework of
Chomsky's generative approach to linguistics, including its core claims to particular insights …

Discovering symbolic models from deep learning with inductive biases

M Cranmer, A Sanchez Gonzalez… - Advances in neural …, 2020 - proceedings.neurips.cc
We develop a general approach to distill symbolic representations of a learned deep model
by introducing strong inductive biases. We focus on Graph Neural Networks (GNNs). The …

Anomaly detection in univariate time-series: A survey on the state-of-the-art

M Braei, S Wagner - arXiv preprint arXiv:2004.00433, 2020 - arxiv.org
Anomaly detection for time-series data has been an important research field for a long time.
Seminal work on anomaly detection methods has been focussing on statistical approaches …

Meaning without reference in large language models

ST Piantadosi, F Hill - arXiv preprint arXiv:2208.02957, 2022 - arxiv.org
The widespread success of large language models (LLMs) has been met with skepticism
that they possess anything like human concepts or meanings. Contrary to claims that LLMs …

A compound framework incorporating improved outlier detection and correction, VMD, weight-based stacked generalization with enhanced DESMA for multi-step short …

W Fu, Y Fu, B Li, H Zhang, X Zhang, J Liu - Applied Energy, 2023 - Elsevier
Precise wind speed forecasting contributes to wind power consumption and power grid
schedule as well as promotes the implementation of global carbon neutrality policy …

Novel image encryption scheme based on chaotic signals with finite-precision error

S Zhou, X Wang, Y Zhang - Information Sciences, 2023 - Elsevier
This paper presents a novel framework for generating new chaotic signals for image
encryption that is based on the finite precision of computers. First, we select a system from a …

Visual analysis of nonlinear dynamical systems: chaos, fractals, self-similarity and the limits of prediction

G Boeing - Systems, 2016 - mdpi.com
Nearly all nontrivial real-world systems are nonlinear dynamical systems. Chaos describes
certain nonlinear dynamical systems that have a very sensitive dependence on initial …

Unsupervised anomaly detection with LSTM neural networks

T Ergen, SS Kozat - IEEE transactions on neural networks and …, 2019 - ieeexplore.ieee.org
We investigate anomaly detection in an unsupervised framework and introduce long short-
term memory (LSTM) neural network-based algorithms. In particular, given variable length …