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Foundation models for computational pathology are expected to facilitate the development of high-performing, generalisable deep learning systems. However, in addition to biologically relevant features, current foundation models also capture…

Fitting mixed models to complex survey data is a challenging problem. Most methods in the literature, including the most widely used one, require a close relationship between the model structure and the survey design. In this paper we…

Methodology · Statistics 2023-11-23 Thomas Lumley , Xudong Huang

We consider the problem of selecting deterministic or stochastic models for a biological, ecological, or environmental dynamical process. In most cases, one prefers either deterministic or stochastic models as candidate models based on…

Applications · Statistics 2015-10-26 Libo Sun , Chihoon Lee , Jennifer A. Hoeting

Biological structure and function depend on complex regulatory interactions between many genes. A wealth of gene expression data is available from high-throughput genome-wide measurement technologies, but effective gene regulatory network…

Molecular Networks · Quantitative Biology 2016-03-28 Arwen Vanice Bradley , Ye Henry Li , Bokyung Choi , Wing Hung Wong

Comparing competing mathematical models of complex natural processes is a shared goal among many branches of science. The Bayesian probabilistic framework offers a principled way to perform model comparison and extract useful metrics for…

For the application of MPC design in on-line regulation or tracking control problems, several studies have attempted to develop an accurate model, and realize adequate uncertainty description of linear or non-linear plants of the processes.…

Optimization and Control · Mathematics 2019-04-03 Yuanqiang Zhou , Dewei Li , Yugeng Xi , Zhongxue Gan

A neuron transforms its input into output spikes, and this transformation is the basic unit of computation in the nervous system. The spiking response of the neuron to a complex, time-varying input can be predicted from the detailed…

Neurons and Cognition · Quantitative Biology 2011-12-19 Michael Famulare , Adrienne Fairhall

Although models are built on the basis of some observations of reality, the concepts that derive theoretically from their definitions as well as from their characteristics and properties are not necessarily direct consequences of these…

Discrete Mathematics · Computer Science 2011-11-11 Mathilde Noual , Sylvain Sené

Modellers of complex biological or social systems are often faced with an invidious choice: to use simple models with few mechanisms that can be fully analysed, or to construct complicated models that include all the features which are…

Physics and Society · Physics 2016-09-28 Luis F. Lafuerza , Louise Dyson , Bruce Edmonds , Alan J. McKane

Bayesian learning is built on an assumption that the model space contains a true reflection of the data generating mechanism. This assumption is problematic, particularly in complex data environments. Here we present a Bayesian…

Machine Learning · Statistics 2018-11-05 S. P. Lyddon , S. G. Walker , C. C. Holmes

State-of-the-art methods for data-driven modelling of non-linear dynamical systems typically involve interactions with an expert user. In order to partially automate the process of modelling physical systems from data, many EA-based…

Systems and Control · Computer Science 2020-05-11 Dhruv Khandelwal , Maarten Schoukens , Roland Tóth

High-dimensional tests are applied to find relevant sets of variables and relevant models. If variables are selected by analyzing the sums of products matrices and a corresponding mean-value test is performed, there is the danger that the…

Methodology · Statistics 2012-02-10 Juergen Laeuter , Maciej Rosolowski , Ekkehard Glimm

Machine learning (ML) has emerged as a powerful tool for tackling complex regression and classification tasks, yet its success often hinges on the quality of training data. This study introduces an ML paradigm inspired by domain knowledge…

Machine Learning · Computer Science 2025-01-10 Mohsen Rashki

Despite recent molecular technique improvements, biological knowledge remains incomplete. Reasoning on living systems hence implies to integrate heterogeneous and partial informations. Although current investigations successfully focus on…

Quantitative Methods · Quantitative Biology 2009-09-29 Jérémie Bourdon , Damien Eveillard , Samuel Gabillard , Theo Merle

A predictive model makes outcome predictions based on some given features, i.e., it estimates the conditional probability of the outcome given a feature vector. In general, a predictive model cannot estimate the causal effect of a feature…

Machine Learning · Computer Science 2023-04-11 Jiuyong Li , Lin Liu , Ziqi Xu , Ha Xuan Tran , Thuc Duy Le , Jixue Liu

The identification of nonlinear dynamics from observations is essential for the alignment of the theoretical ideas and experimental data. The last, in turn, is often corrupted by the side effects and noise of different natures, so…

Machine Learning · Computer Science 2020-06-08 Anna Shalova , Ivan Oseledets

Despite their widespread utility across domains, basic network models face fundamental limitations when applied to complex biological systems, particularly in neuroscience. This paper critically examines these limitations and explores…

Other Quantitative Biology · Quantitative Biology 2024-11-07 Luiz Pessoa

Large language models (LLMs) are increasingly used to simulate human behavior, but common practices to use LLM-generated data are inefficient. Treating an LLM's output ("model choice") as a single data point underutilizes the information…

Artificial Intelligence · Computer Science 2025-12-30 Hongshen Sun , Juanjuan Zhang

Observability is a modelling property that describes the possibility of inferring the internal state of a system from observations of its output. A related property, structural identifiability, refers to the theoretical possibility of…

Quantitative Methods · Quantitative Biology 2018-12-12 Alejandro F. Villaverde

The use of patterns in predictive models is a topic that has received a lot of attention in recent years. Pattern mining can help to obtain models for structured domains, such as graphs and sequences, and has been proposed as a means to…

Artificial Intelligence · Computer Science 2011-11-29 Björn Bringmann , Siegfried Nijssen , Albrecht Zimmermann