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The availability of high-throughput parallel methods for sequencing microbial communities is increasing our knowledge of the microbial world at an unprecedented rate. Though most attention has focused on determining lower-bounds on the…

Methodology · Statistics 2011-09-15 Manuel Lladser , Raúl Gouet , Jens Reeder

In various practical situations, we encounter data from stochastic processes which can be efficiently modelled by an appropriate parametric model for subsequent statistical analyses. Unfortunately, the most common estimation and inference…

Methodology · Statistics 2022-04-12 Rohan Hore , Abhik Ghosh

This paper addresses the issues of conservativeness and computational complexity of probabilistic robustness analysis. We solve both issues by defining a new sampling strategy and robustness measure. The new measure is shown to be much less…

Applications · Statistics 2008-05-12 Xinjia Chen , Kemin Zhou , Jorge L. Aravena

In this work, we introduce a computational model for the study of the host-bacteria interaction and the influence of the intestinal microbiota on the behavior and feeding pattern of an individual. The model is based on digital entities,…

Populations and Evolution · Quantitative Biology 2019-09-11 João Paulo Almeida de Mendonça , Leonardo da Motta de Vasconcellos Teixeira , Fernando Sato

In many chemical and biological applications, systems of differential equations containing unknown parameters are used to explain empirical observations and experimental data. The DEs are typically nonlinear and difficult to analyze,…

Quantitative Methods · Quantitative Biology 2015-08-24 D. Goulet

Populations of heterogeneous cells play an important role in many biological systems. In this paper we consider systems where each cell can be modelled by an ordinary differential equation. To account for heterogeneity, parameter values are…

Quantitative Methods · Quantitative Biology 2009-09-27 Steffen Waldherr , Jan Hasenauer , Frank Allgöwer

The competition for resources is a defining feature of microbial communities. In many contexts, from soils to host-associated communities, highly diverse microbes are organized into metabolic groups or guilds with similar resource…

Physics and Society · Physics 2025-05-05 Xiaowen Chen , Kyle Crocker , Seppe Kuehn , Aleksandra M. Walczak , Thierry Mora

In the context of cluster analysis and graph partitioning, many external evaluation measures have been proposed in the literature to compare two partitions of the same set. This makes the task of selecting the most appropriate measure for a…

Machine Learning · Computer Science 2021-02-09 Nejat Arinik , Vincent Labatut , Rosa Figueiredo

Biological systems are promising substrates for computation because they naturally process environmental information through complex internal dynamics. In this study, we investigate whether bacterial metabolic models can act as physical…

Emerging Technologies · Computer Science 2026-04-23 Laura Alonso Bartolomé , Jean-Loup Faulon , Xavier Hinaut

Despite the flexibility and popularity of mixture models, their associated parameter spaces are often difficult to represent due to fundamental identification problems. This paper looks at a novel way of representing such a space for…

Methodology · Statistics 2015-10-16 Vahed Maroufy , Paul Marriott

We present a new approach for estimating parameters in rational ODE models from given (measured) time series data. In typical existing approaches, an initial guess for the parameter values is made from a given search interval. Then, in a…

Mathematical Software · Computer Science 2023-12-19 Oren Bassik , Yosef Berman , Soo Go , Hoon Hong , Ilia Ilmer , Alexey Ovchinnikov , Chris Rackauckas , Pedro Soto , Chee Yap

We describe the shrinking neighborhood approach of Robust Statistics, which applies to general smoothly parametrized models, especially, exponential families. Equal generality is achieved by object oriented implementation of the optimally…

Methodology · Statistics 2010-08-04 Matthias Kohl , Peter Ruckdeschel , Helmut Rieder

Calibration of large-scale differential equation models to observational or experimental data is a widespread challenge throughout applied sciences and engineering. A crucial bottleneck in state-of-the art calibration methods is the…

Optimization and Control · Mathematics 2021-02-23 Jon Cockayne , Andrew B. Duncan

Modern randomization methods in clinical trials are invariably adaptive, meaning that the assignment of the next subject to a treatment group uses the accumulated information in the trial. Some of the recent adaptive randomization methods…

Methodology · Statistics 2024-02-12 Alan R. Vazquez , Weng Kee Wong

Current practice for evaluating recommender systems typically focuses on point estimates of user-oriented effectiveness metrics or business metrics, sometimes combined with additional metrics for considerations such as diversity and…

Information Retrieval · Computer Science 2023-09-13 Michael D. Ekstrand , Ben Carterette , Fernando Diaz

This paper introduces an innovative model for infectious diseases in predator-prey populations. We not only prove the existence of global non-negative solutions but also establish essential criteria for the system's decline and…

Populations and Evolution · Quantitative Biology 2023-06-16 Yujie Gao , Malay Banerjee , Ton Viet Ta

Soil microbial communities are known to be robust against perturbations such as nutrition inputs, which appears as an obstacle for the soil improvement. On the other hand, its adaptable aspect has been also reported. Here we propose simple…

Populations and Evolution · Quantitative Biology 2024-09-06 Takashi Shimada , Kazumori Mise , Kai Morino , Shigeto Otsuka

Multi-category data arise in diverse fields including marketing, chemistry, public policy, genomics, political science, and ecology. We consider the problem of estimating ratios of category-specific means in a fully nonparametric setting,…

Methodology · Statistics 2025-10-29 Grant Hopkins , Sarah Teichman , Ellen Graham , Amy D Willis

Almost all fields of science rely upon statistical inference to estimate unknown parameters in theoretical and computational models. While the performance of modern computer hardware continues to grow, the computational requirements for the…

Computation · Statistics 2022-10-25 David J. Warne , Ruth E. Baker , Matthew J. Simpson

Expressive evaluation metrics are indispensable for informative experiments in all areas, and while several metrics are established in some areas, in others, such as feature selection, only indirect or otherwise limited evaluation metrics…

Machine Learning · Computer Science 2025-01-17 Muhammad Rajabinasab , Anton D. Lautrup , Tobias Hyrup , Arthur Zimek
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