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Chemotactic cells of eukaryotic organisms are able to accurately sense shallow chemical concentration gradients using cell-surface receptors. This sensing ability is remarkable as cells must be able to spatially resolve small fractional…

Cell Behavior · Quantitative Biology 2009-06-22 Robert G. Endres , Ned S. Wingreen

Information theoretic active learning has been widely studied for probabilistic models. For simple regression an optimal myopic policy is easily tractable. However, for other tasks and with more complex models, such as classification with…

Machine Learning · Statistics 2011-12-30 Neil Houlsby , Ferenc Huszár , Zoubin Ghahramani , Máté Lengyel

Tracking on the rotation group is a key component of many modern systems for estimation of the motion of rigid bodies. To address this problem, here we describe a Bayesian algorithm that relies on directional measurements for tracking on…

Signal Processing · Electrical Eng. & Systems 2020-03-26 Sofia Suvorova , Stephen D. Howard , Bill Moran

Collective cell migration in response to a chemical cue occurs in many biological processes such as morphogenesis and cancer metastasis. Clusters of migratory cells in these systems are capable of responding to gradients of less than 1%…

Biological Physics · Physics 2016-08-24 Julien Varennes , Bumsoo Han , Andrew Mugler

Bayesian meta-learning enables robust and fast adaptation to new tasks with uncertainty assessment. The key idea behind Bayesian meta-learning is empirical Bayes inference of hierarchical model. In this work, we extend this framework to…

Machine Learning · Computer Science 2020-11-19 Yayi Zou , Xiaoqi Lu

Knowledge gradient is a design principle for developing Bayesian sequential sampling policies to solve optimization problems. In this paper we consider the ranking and selection problem in the presence of covariates, where the best…

Statistics Theory · Mathematics 2022-01-17 Liang Ding , L. Jeff Hong , Haihui Shen , Xiaowei Zhang

Experimental evidence lends support to the conjecture that the ability of chains of cells to sense the gradient of an external chemical concentration could rely on cell-to-cell communication. This is the basis for the gradient sensing…

Quantitative Methods · Quantitative Biology 2021-02-24 Dallas Foster , Collin Victor , Brian Frost , Juan M. Restrepo

We introduce a level set based approach to Bayesian geometric inverse problems. In these problems the interface between different domains is the key unknown, and is realized as the level set of a function. This function itself becomes the…

Methodology · Statistics 2015-04-02 Marco A. Iglesias , Yulong Lu , Andrew M. Stuart

Assessing the pre-operative risk of lymph node metastases in endometrial cancer patients is a complex and challenging task. In principle, machine learning and deep learning models are flexible and expressive enough to capture the dynamics…

Artificial Intelligence · Computer Science 2023-05-18 Alessio Zanga , Alice Bernasconi , Peter J. F. Lucas , Hanny Pijnenborg , Casper Reijnen , Marco Scutari , Fabio Stella

The major problem in information theoretic analysis of neural responses and other biological data is the reliable estimation of entropy--like quantities from small samples. We apply a recently introduced Bayesian entropy estimator to…

Data Analysis, Statistics and Probability · Physics 2009-09-29 Ilya Nemenman , William Bialek , Rob de Ruyter van Steveninck

Chemotaxis describes the movement of an organism, such as single or multi-cellular organisms and bacteria, in response to a chemical stimulus. Two widely used models to describe the phenomenon are the celebrated Keller-Segel equation and a…

Analysis of PDEs · Mathematics 2024-01-11 Kathrin Hellmuth , Christian Klingenberg , Qin Li , Min Tang

Bayesian change-point detection, together with latent variable models, allows to perform segmentation over high-dimensional time-series. We assume that change-points lie on a lower-dimensional manifold where we aim to infer subsets of…

Machine Learning · Statistics 2020-11-04 Lorena Romero-Medrano , Pablo Moreno-Muñoz , Antonio Artés-Rodríguez

Gradient-based causal discovery shows great potential for deducing causal structure from data in an efficient and scalable way. Those approaches however can be susceptible to distributional biases in the data they are trained on. We…

Machine Learning · Computer Science 2025-09-03 Tim Schwabe , Moritz Lange , Laurenz Wiskott , Maribel Acosta

We present a novel approach for the analysis of multivariate case-control georeferenced data using Bayesian inference in the context of disease mapping, where the spatial distribution of different types of cancers is analyzed. Extending…

Predicting epidemic dynamics is of great value in understanding and controlling diffusion processes, such as infectious disease spread and information propagation. This task is intractable, especially when surveillance resources are very…

Machine Learning · Statistics 2017-12-04 Hongbin Pei , Bo Yang , Jiming Liu , Lei Dong

We develop a new computational approach for "focused" optimal Bayesian experimental design with nonlinear models, with the goal of maximizing expected information gain in targeted subsets of model parameters. Our approach considers…

Computation · Statistics 2019-03-28 Chi Feng , Youssef M. Marzouk

Bayesian inference plays an important role in advancing machine learning, but faces computational challenges when applied to complex models such as deep neural networks. Variational inference circumvents these challenges by formulating…

Machine Learning · Statistics 2018-08-03 Mohammad Emtiyaz Khan , Didrik Nielsen

The Bayesian Conjugate Gradient method (BayesCG) is a probabilistic generalization of the Conjugate Gradient method (CG) for solving linear systems with real symmetric positive definite coefficient matrices. Our CG-based implementation of…

Numerical Analysis · Mathematics 2022-10-04 Tim W. Reid , Ilse C. F. Ipsen , Jon Cockayne , Chris J. Oates

This work reports on two results. At first we revisit the Berg and Purcell calculation that provides a lower bound to the error in concentration measurement by cells, by considering the realistic case when the cell starts measuring the…

Subcellular Processes · Quantitative Biology 2022-04-06 Vaibhav Wasnik

Recent advances in graph convolutional networks have significantly improved the performance of chemical predictions, raising a new research question: "how do we explain the predictions of graph convolutional networks?" A possible approach…

Machine Learning · Computer Science 2018-07-06 Hirotaka Akita , Kosuke Nakago , Tomoki Komatsu , Yohei Sugawara , Shin-ichi Maeda , Yukino Baba , Hisashi Kashima