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A straightforward algorithm for the symbolic computation of higher-order symmetries of nonlinear evolution equations and lattice equations is presented. The scaling properties of the evolution or lattice equations are used to determine the…

solv-int · Physics 2007-05-23 Unal Goktas , Willy Hereman

Meta-learning models, or models that learn to learn, have been a long-desired target for their ability to quickly solve new tasks. Traditional meta-learning methods can require expensive inner and outer loops, thus there is demand for…

Neural and Evolutionary Computing · Computer Science 2021-03-12 Kevin Frans , Olaf Witkowski

In geostatistics, traditional spatial models often rely on the Gaussian Process (GP) to fit stationary covariances to data. It is well known that this approach becomes computationally infeasible when dealing with large data volumes,…

Computation · Statistics 2024-09-17 Antony Sikorski , Daniel McKenzie , Douglas Nychka

Gaussian processes (GPs) are Bayesian nonparametric generative models that provide interpretability of hyperparameters, admit closed-form expressions for training and inference, and are able to accurately represent uncertainty. To model…

Machine Learning · Statistics 2018-03-21 Gonzalo Rios , Felipe Tobar

Evolutionary computation methods have been successfully applied to neural networks since two decades ago, while those methods cannot scale well to the modern deep neural networks due to the complicated architectures and large quantities of…

Neural and Evolutionary Computing · Computer Science 2019-03-12 Yanan Sun , Bing Xue , Mengjie Zhang , Gary G. Yen

We consider the problem of computing the Boolean convolution (with wraparound) of $n$~vectors of dimension $m$, or, equivalently, the problem of computing the sumset $A_1+A_2+\ldots+A_n$ for $A_1,\ldots,A_n \subseteq \mathbb{Z}_m$. Boolean…

Data Structures and Algorithms · Computer Science 2021-05-11 Karl Bringmann , Vasileios Nakos

Over the years, genetic programming (GP) has evolved, with many proposed variations, especially in how they represent a solution. Being essentially a program synthesis algorithm, it is capable of tackling multiple problem domains. Current…

Neural and Evolutionary Computing · Computer Science 2025-04-15 Roman Kalkreuth , Fabricio Olivetti de França , Julian Dierkes , Marie Anastacio , Anja Jankovic , Zdenek Vasicek , Holger Hoos

As evolutionary algorithms (EAs) are general-purpose optimization algorithms, recent theoretical studies have tried to analyze their performance for solving general problem classes, with the goal of providing a general theoretical…

Neural and Evolutionary Computing · Computer Science 2022-11-29 Chao Qian

Gene regulatory networks (GRNs) are increasingly used for explaining biological processes with complex transcriptional regulation. A GRN links the expression levels of a set of genes via regulatory controls that gene products exert on one…

Molecular Networks · Quantitative Biology 2016-06-21 Guy Karlebach

The Beagle framework, through GPU-based Genetic Programming, enables population dynamics previously unattainable (within practical time frames) by CPU-constrained Genetic Programming systems. This work explores how GPU-enabled population…

Neural and Evolutionary Computing · Computer Science 2026-04-29 Nathan Haut , Ilya Basin , Ruchika Gupta , Marzieh Kianinejad , Zachary Perrico , Elijah Smith , Wolfgang Banzhaf

Random Boolean networks have been used widely to explore aspects of gene regulatory networks. A modified form of the model through which to systematically explore the effects of increasing the number of gene states has previously been…

Molecular Networks · Quantitative Biology 2023-02-06 Larry Bull

Deep neural network-based architectures give promising results in various domains including pattern recognition. Finding the optimal combination of the hyper-parameters of such a large-sized architecture is tedious and requires a large…

Computer Vision and Pattern Recognition · Computer Science 2020-03-17 Animesh Singh , Sandip Saha , Ritesh Sarkhel , Mahantapas Kundu , Mita Nasipuri , Nibaran Das

Among their many uses, growth processes (probabilistic amplification), were used for constructing reliable networks from unreliable components, and deriving complexity bounds of various classes of functions. Hence, determining the initial…

Discrete Mathematics · Computer Science 2009-09-29 Alex Brodsky , Nicholas Pippenger

We have employed a recent implementation of genetic algorithms to study a range of standard benchmark functions for global optimization. It turns out that some of them are not very useful as challenging test functions, since they neither…

Neural and Evolutionary Computing · Computer Science 2012-07-19 Johannes M. Dieterich , Bernd Hartke

Boolean networks may be viewed as idealizations of biological genetic networks, where each node is represented by an on-off switch which is a function of the binary output from some other nodes. We evolve connectivity in a single Boolean…

Biological Physics · Physics 2016-09-08 Stefan Bornholdt , Kim Sneppen

Genetic programming is a powerful heuristic search technique that is used for a number of real world applications to solve among others regression, classification, and time-series forecasting problems. A lot of progress towards a theoretic…

Neural and Evolutionary Computing · Computer Science 2013-09-24 Gabriel Kronberger , Stephan Winkler , Michael Affenzeller , Andreas Beham , Stefan Wagner

In the field of empirical modeling using Genetic Programming (GP), it is important to evolve solution with good generalization ability. Generalization ability of GP solutions get affected by two important issues: bloat and over-fitting. We…

Neural and Evolutionary Computing · Computer Science 2014-04-08 Vipul K. Dabhi , Sanjay Chaudhary

Many statistical problems involve optimization over a discrete parameter space having an unknown dimension. In such settings, gradient-based methods often fail due to the non-differentiability of the objective function or a non-convex or…

Applications · Statistics 2026-03-19 Mo Li , QiQi Lu , Robert Lund , Xueheng Shi

Gaussian process (GP) is a Bayesian model which provides several advantages for regression tasks in machine learning such as reliable quantitation of uncertainty and improved interpretability. Their adoption has been precluded by their…

Machine Learning · Computer Science 2023-06-26 Jonathan Parkinson , Wei Wang

Evolutionary computation can be used to optimize several different aspects of neural network architectures. For instance, the TaylorGLO method discovers novel, customized loss functions, resulting in improved performance, faster training,…

Machine Learning · Computer Science 2025-06-12 Santiago Gonzalez , Xin Qiu , Risto Miikkulainen