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Causal inference, especially in observational studies, relies on untestable assumptions about the true data-generating process. Sensitivity analysis helps us determine how robust our conclusions are when we alter these underlying…

Machine Learning · Computer Science 2026-05-11 Nikita Dhawan , Daniel Shen , Leonardo Cotta , Chris J. Maddison

We consider the problem of estimating a variable number of parameters with a dynamic nature. A familiar example is finding the position of moving targets using sensor array observations. The problem is challenging in cases where either the…

Computation · Statistics 2015-04-03 Ashkan Panahi , Mats Viberg

Accurate comparisons between theoretical models and experimental data are critical for scientific progress. However, inferred physical model parameters can vary significantly with the chosen physics model, highlighting the importance of…

High Energy Physics - Phenomenology · Physics 2025-10-27 Sunil Jaiswal , Chun Shen , Richard J. Furnstahl , Ulrich Heinz , Matthew T. Pratola

We investigate the behavior of a threshold model for the spreading of fads and similar phenomena in society. The model is giving the fad dynamics and is intended to be confined to an underlying network structure. We investigate the whole…

Physics and Society · Physics 2007-05-23 Andreas Gronlund , Petter Holme

The problem of online change point detection is to detect abrupt changes in properties of time series, ideally as soon as possible after those changes occur. Existing work on online change point detection either assumes i.i.d data, focuses…

Machine Learning · Computer Science 2023-12-01 Lei Xin , George Chiu , Shreyas Sundaram

Deep neural networks (DNNs) have achieved superior performance in various prediction tasks, but can be very vulnerable to adversarial examples or perturbations. Therefore, it is crucial to measure the sensitivity of DNNs to various forms of…

Machine Learning · Statistics 2019-12-23 Hai Shu , Hongtu Zhu

In causal inference, sensitivity analysis is important to assess the robustness of study conclusions to key assumptions. We perform sensitivity analysis of the assumption that missing outcomes are missing completely at random. We follow a…

Statistics Theory · Mathematics 2023-05-12 Bart Eggen , Stéphanie L. van der Pas , Aad W. van der Vaart

We present a method for learning treewidth-bounded Bayesian networks from data sets containing thousands of variables. Bounding the treewidth of a Bayesian greatly reduces the complexity of inferences. Yet, being a global property of the…

Artificial Intelligence · Computer Science 2016-05-12 Mauro Scanagatta , Giorgio Corani , Cassio P. de Campos , Marco Zaffalon

Estimating causal networks from biological data is a critical step in systems biology. When evaluating the inferred network, assessing the networks based on their intervention effects is particularly important for downstream probabilistic…

Molecular Networks · Quantitative Biology 2025-11-18 Noriaki Sato , Marco Scutari , Shuichi Kawano , Rui Yamaguchi , Seiya Imoto

The importance of structured, complex connectivity patterns found in several real-world systems is to a great extent related to their respective effects in constraining and even defining the respective dynamics. Yet, while complex networks…

Tissues and Organs · Quantitative Biology 2008-05-16 Matheus P. Viana , Bruno A. N. Travencolo , E. Tanck , Luciano da F. Costa

This study examines the application of Bayesian approach in the context of clinical trials, emphasizing their increasing importance in contemporary biomedical research. While conventional frequentist approach provides a foundational basis…

Methodology · Statistics 2026-01-16 Paramahansa Pramanik , Arnab Kumar Maity , Anjan Mandal , Haley Kate Robinson

Neural networks appear to have mysterious generalization properties when using parameter counting as a proxy for complexity. Indeed, neural networks often have many more parameters than there are data points, yet still provide good…

Machine Learning · Computer Science 2020-05-26 Wesley J. Maddox , Gregory Benton , Andrew Gordon Wilson

Modeling the associations between real world entities from their multivariate cross-sectional profiles can provide cues into the concerted working of these entities as a system. Several techniques have been proposed for deciphering these…

Machine Learning · Computer Science 2025-01-07 Radha Nagarajan , Marco Scutari

Computing the exact likelihood of data in large Bayesian networks consisting of thousands of vertices is often a difficult task. When these models contain many deterministic conditional probability tables and when the observed values are…

Computation · Statistics 2012-06-26 Ydo Wexler , Dan Geiger

Sensitivity analysis is an effective tool for systematically identifying specific perturbations in parameters that have significant effects on the behavior of a given biosystem, at the scale investigated. In this work, using a…

Quantitative Methods · Quantitative Biology 2007-12-04 Zhihui Wang , Christina M. Birch , Thomas S. Deisboeck

Bayesian Neural Networks (BNNs) provide a tool to estimate the uncertainty of a neural network by considering a distribution over weights and sampling different models for each input. In this paper, we propose a method for uncertainty…

Machine Learning · Computer Science 2024-10-28 Illia Oleksiienko , Dat Thanh Tran , Alexandros Iosifidis

With the increasing use of neural networks in critical systems, runtime monitoring becomes essential to reject unsafe predictions during inference. Various techniques have emerged to establish rejection scores that maximize the separability…

Machine Learning · Computer Science 2024-05-22 Khoi Tran Dang , Kevin Delmas , Jérémie Guiochet , Joris Guérin

Attractor neural network models of cortical decision-making circuits represent them as dynamical systems in the state space of neural firing rates with the attractors of the network encoding possible decisions. While the attractors of these…

Neurons and Cognition · Quantitative Biology 2025-08-12 Safaan Sadiq

Nearly all statistical analyses that inform policy-making are based on imperfect data. As examples, the data may suffer from measurement errors, missing values, sample selection bias, or record linkage errors. Analysts have to decide how to…

Methodology · Statistics 2025-10-24 Adway S. Wadekar , Jerome P. Reiter

Understanding the dynamics of complex systems is a central task in many different areas ranging from biology via epidemics to economics and engineering. Unexpected behaviour of dynamic systems or even system failure is sometimes difficult…

Optimization and Control · Mathematics 2022-03-25 Dominik Kahl , Andreas Weber , Maik Kschischo