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We introduce constrained Gaussian process (CGP), a Gaussian process model for random functions that allows easy placement of mathematical constrains (e.g., non-negativity, monotonicity, etc) on its sample functions. CGP comes with…

Statistics Theory · Mathematics 2019-04-23 Jeremiah Zhe Liu

Choosing the most adequate kernel is crucial in many Machine Learning applications. Gaussian Process is a state-of-the-art technique for regression and classification that heavily relies on a kernel function. However, in the Gaussian…

Machine Learning · Computer Science 2019-10-15 Ibai Roman , Roberto Santana , Alexander Mendiburu , Jose A. Lozano

The selection of coarse-grained (CG) mapping operators is a critical step for CG molecular dynamics (MD) simulation. It is still an open question about what is optimal for this choice and there is a need for theory. The current state-of-the…

Quantitative Methods · Quantitative Biology 2022-04-05 Zhiheng Li , Geemi P. Wellawatte , Maghesree Chakraborty , Heta A. Gandhi , Chenliang Xu , Andrew D. White

In this paper, a nonlinear symbolic regression technique using an evolutionary algorithm known as multi-gene genetic programming (MGGP) is applied for a data-driven modelling between the dependent and the independent variables. The…

Neural and Evolutionary Computing · Computer Science 2014-03-05 Indranil Pan , Daya Shankar Pandey , Saptarshi Das

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

Genetic algorithms have played an important role in engineering optimization. Traditional GAs treat each gene separately. However, biophysical studies of gene regulatory networks revealed direct associations between different genes. It…

Neural and Evolutionary Computing · Computer Science 2024-05-01 Zhaoning Shi , Meng Xiang , Zhaoyang Hai , Xiabi Liu , Yan Pei

Transformers have increasingly become the de facto method to model sequential data with state-of-the-art performance. Due to its widespread use, being able to estimate and calibrate its modeling uncertainty is important to understand and…

Machine Learning · Computer Science 2025-03-03 Long Minh Bui , Tho Tran Huu , Duy Dinh , Tan Minh Nguyen , Trong Nghia Hoang

Neural processes are a family of models which use neural networks to directly parametrise a map from data sets to predictions. Directly parametrising this map enables the use of expressive neural networks in small-data problems where neural…

Machine Learning · Statistics 2024-08-20 Wessel P. Bruinsma

This work introduces the Efficient Transformed Gaussian Process (ETGP), a new way of creating C stochastic processes characterized by: 1) the C processes are non-stationary, 2) the C processes are dependent by construction without needing a…

Machine Learning · Computer Science 2022-06-01 Juan Maroñas , Daniel Hernández-Lobato

The dose delivered to the planning target volume by proton beams is highly conformal, sparing organs at risk and normal tissues. New treatment planning systems adapted to spot scanning techniques have been recently proposed to…

Medical Physics · Physics 2022-05-18 François Smekens , Nicolas Freud , Bruno Sixou , Guillaume Beslon , Jean M Létang

Genetic Programming is an evolutionary algorithm that generates computer programs, or mathematical expressions, to solve complex problems. In this Guide, we demonstrate how to use Genetic Programming to develop surrogate models to mitigate…

Volatility is a key variable in option pricing, trading and hedging strategies. The purpose of this paper is to improve the accuracy of forecasting implied volatility using an extension of genetic programming (GP) by means of dynamic…

General Finance · Quantitative Finance 2020-07-15 Sana Ben Hamida , Wafa Abdelmalek , Fathi Abid

Genetic algorithms are modeled after the biological evolutionary processes that use natural selection to select the best species to survive. They are heuristics based and low cost to compute. Genetic algorithms use selection, crossover, and…

Neural and Evolutionary Computing · Computer Science 2020-05-28 Mee Seong Im , Venkat R. Dasari

The properties of lattice-based structures can be enhanced by varying their geometric parameters in a graded manner, and the gradation can be tailored to extremize a particular objective. In this manuscript, we propose a non-gradient-based…

Computational Physics · Physics 2026-04-07 Piyush Agrawal , Manish Agrawal

In atomic, molecular, and nuclear physics, the method of complex coordinate rotation is a widely used theoretical tool for studying resonant states. Here, we propose a novel implementation of this method based on the gradient optimization…

Atomic Physics · Physics 2020-07-24 Zhi-Da Bai , Zhen-Xiang Zhong , Zong-Chao Yan , Ting-Yun Shi

Graph Neural Networks (GNNs) have advanced spatiotemporal forecasting by leveraging relational inductive biases among sensors (or any other measuring scheme) represented as nodes in a graph. However, current methods often rely on Recurrent…

Machine Learning · Computer Science 2024-05-30 Aref Einizade , Fragkiskos D. Malliaros , Jhony H. Giraldo

We develop a symbolic regression framework for extracting the governing mathematical expressions from observed data. The evolutionary approach, faiGP, is designed to leverage the properties of a function algebra that have been encoded into…

Neural and Evolutionary Computing · Computer Science 2022-03-18 Shahab Razavi , Eric R. Gamazon

Generative Programming (GP) is a computing paradigm allowing automatic creation of entire software families utilizing the configuration of elementary and reusable components. GP can be projected on different technologies, e.g.…

Human-Computer Interaction · Computer Science 2007-05-23 Max Schlee , Jean Vanderdonckt

For simple digital circuits, conventional method of designing circuits can easily be applied. But for complex digital circuits, the conventional method of designing circuits is not fruitfully applicable because it is time-consuming. On the…

Neural and Evolutionary Computing · Computer Science 2013-04-10 S. M. Ashik Eftekhar , Sk. Mahbub Habib , M. M. A. Hashem

The computational complexity analysis of genetic programming (GP) has been started recently by analyzing simple (1+1) GP algorithms for the problems ORDER and MAJORITY. In this paper, we study how taking the complexity as an additional…

Neural and Evolutionary Computing · Computer Science 2012-03-23 Frank Neumann
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