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Quantifying biomechanical properties of the human vasculature could deepen our understanding of cardiovascular diseases. Standard nonlinear regression in constitutive modeling requires considerable high-quality data and an explicit form of…

机器学习 · 计算机科学 2023-09-26 Minglang Yin , Zongren Zou , Enrui Zhang , Cristina Cavinato , Jay D. Humphrey , George Em Karniadakis

Probabilistic graphical models (PGMs) are widely used to discover latent structure in data, but their success hinges on selecting an appropriate model design. In practice, model specification is difficult and often requires iterative…

机器学习 · 计算机科学 2026-04-08 Kevin Zhang , Yixin Wang

The purpose of this article is to introduce a new iterative algorithm with properties resembling real life bipartite graphs. The algorithm enables us to generate wide range of random bigraphs, which features are determined by a set of…

人工智能 · 计算机科学 2010-11-03 Szymon Chojnacki , Mieczysław Kłopotek

To improve real-world applications of machine learning, experienced modelers develop intuition about their datasets, their models, and how the two interact. Manual inspection of raw data - of representative samples, of outliers, of…

This article proposes a method for mathematical modeling of human movements related to patient exercise episodes performed during physical therapy sessions by using artificial neural networks. The generative adversarial network structure is…

机器学习 · 计算机科学 2018-12-18 L. Li , A. Vakanski

We consider a dynamic social network model in which agents play repeated games in pairings determined by a stochastically evolving social network. Individual agents begin to interact at random, with the interactions modeled as games. The…

概率论 · 数学 2007-05-23 Brian Skyrms , Robin Pemantle

Exponential-family random graph models (ERGMs) provide a principled and flexible way to model and simulate features common in social networks, such as propensities for homophily, mutuality, and friend-of-a-friend triad closure, through…

统计方法学 · 统计学 2012-08-01 Pavel N. Krivitsky

This paper develops a framework for identification, estimation, and inference on the causal mechanisms driving endogenous social network formation. Identification is challenging because of unobserved confounders and reverse causality;…

计量经济学 · 经济学 2026-04-21 Maximilian Kasy , Elizabeth Linos , Sanaz Mobasseri

Correctly capturing the symmetry transformations of data can lead to efficient models with strong generalization capabilities, though methods incorporating symmetries often require prior knowledge. While recent advancements have been made…

Network growth processes can be understood as generative models of the structure and history of complex networks. This point of view naturally leads to the problem of network archaeology: reconstructing all the past states of a network from…

Research shows that gene duplication followed by either repurposing or removal of duplicated genes is an important contributor to evolution of gene and protein interaction networks. We aim to identify which characteristics of a network can…

分子网络 · 定量生物学 2021-07-27 Peter Crawford-Kahrl , Robert R. Nerem , Bree Cummins , Tomas Gedeon

Symbolic regression is a machine learning technique, and it has seen many advancements in recent years, especially in genetic programming approaches (GPSR). Furthermore, it has been known for many years that constant optimization of…

机器学习 · 计算机科学 2024-12-04 L. G. A dos Reis , V. L. P. S. Caminha , T. J. P. Penna

The present paper aims to demonstrate the usage of Convolutional Neural Networks as a generative model for stochastic processes, enabling researchers from a wide range of fields (such as quantitative finance and physics) to develop a…

机器学习 · 统计学 2018-01-12 Fernando Fernandes Neto

The de novo design of molecular structures using deep learning generative models introduces an encouraging solution to drug discovery in the face of the continuously increased cost of new drug development. From the generation of original…

生物大分子 · 定量生物学 2021-02-08 Yuemin Bian , Xiang-Qun Xie

Machine learning models have become firmly established across all scientific fields. Extracting features from data and making inferences based on them with neural network models often yields high accuracy; however, this approach has several…

机器学习 · 计算机科学 2026-01-13 Mikhail Lazarev , Andrey Ustyuzhanin

Recent deep generative models are able to provide photo-realistic images as well as visual or textual content embeddings useful to address various tasks of computer vision and natural language processing. Their usefulness is nevertheless…

机器学习 · 计算机科学 2020-01-29 Antoine Plumerault , Hervé Le Borgne , Céline Hudelot

Symbolic regression (SR) is an area of interpretable machine learning that aims to identify mathematical expressions, often composed of simple functions, that best fit in a given set of covariates $X$ and response $y$. In recent years, deep…

机器学习 · 计算机科学 2023-12-04 Sida Li , Ioana Marinescu , Sebastian Musslick

The engineered control of cellular function through the design of synthetic genetic networks is becoming plausible. Here we show how a naturally occurring network can be used as a parts list for artificial network design, and how model…

生物物理 · 物理学 2009-11-07 Jeff Hasty , Farren Isaacs , Milos Dolnik , David McMillen , J. J. Collins

Symbolic regression is essential for deriving interpretable expressions that elucidate complex phenomena by exposing the underlying mathematical and physical relationships in data. In this paper, we present an advanced symbolic regression…

机器学习 · 计算机科学 2025-03-13 Sikai Huang , Yixin Berry Wen , Tara Adusumilli , Kusum Choudhary , Haizhao Yang

The emergence of generative AI models has dramatically expanded the availability and use of synthetic data across scientific, industrial, and policy domains. While these developments open new possibilities for data analysis, they also raise…

机器学习 · 统计学 2026-03-06 Ahmad Abdel-Azim , Ruoyu Wang , Xihong Lin