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Machine learning approaches commonly rely on the assumption of independent and identically distributed (i.i.d.) data. In reality, however, this assumption is almost always violated due to distribution shifts between environments. Although…

Machine Learning · Computer Science 2022-10-18 Ronan Perry , Julius von Kügelgen , Bernhard Schölkopf

A statistical inference method is developed and tested for pairwise interacting systems whose degrees of freedom are continuous angular variables, such as planar spins in magnetic systems or wave phases in optics and acoustics. We…

Statistical Mechanics · Physics 2015-06-15 P. Tyagi , A. Pagnani , F. Antenucci , M. Ibáñez Berganza , L. Leuzzi

Robot data collected in complex real-world scenarios are often biased due to safety concerns, human preferences, and mission or platform constraints. Consequently, robot learning from such observational data poses great challenges for…

Robotics · Computer Science 2022-10-18 Junhong Xu , Kai Yin , Jason M. Gregory , Lantao Liu

Recent work has shown that probabilistic models based on pairwise interactions-in the simplest case, the Ising model-provide surprisingly accurate descriptions of experiments on real biological networks ranging from neurons to genes.…

Quantitative Methods · Quantitative Biology 2007-12-18 Tamara Broderick , Miroslav Dudik , Gasper Tkacik , Robert E. Schapire , William Bialek

We present a simple yet novel time series imputation technique with the goal of constructing an irregular time series that is uniform across every sample in a data set. Specifically, we fix a grid defined by the midpoints of non-overlapping…

Machine Learning · Computer Science 2022-01-19 Andrew Baumgartner , Sevda Molani , Qi Wei , Jennifer Hadlock

Our paper deals with inferring simulator-based statistical models given some observed data. A simulator-based model is a parametrized mechanism which specifies how data are generated. It is thus also referred to as generative model. We…

Machine Learning · Statistics 2016-01-01 Michael U. Gutmann , Jukka Corander

Neuronal ensemble activity, including coordinated and oscillatory patterns, exhibits hallmarks of nonequilibrium systems with time-asymmetric trajectories to maintain their organization. However, assessing time asymmetry from neuronal…

Neurons and Cognition · Quantitative Biology 2025-12-12 Ken Ishihara , Hideaki Shimazaki

Environmental, Social, and Governance (ESG) datasets are frequently plagued by significant data gaps, leading to inconsistencies in ESG ratings due to varying imputation methods. This paper explores the application of established machine…

Machine Learning · Computer Science 2024-07-30 Sergio Caprioli , Jacopo Foschi , Riccardo Crupi , Alessandro Sabatino

We propose an inferential approach for maximum likelihood estimation of the hidden Markov models for continuous responses. We extend to the case of longitudinal observations the finite mixture model of multivariate Gaussian distributions…

Methodology · Statistics 2021-07-01 Silvia Pandolfi , Francesco Bartolucci , Fulvia Pennoni

Conditions ensuring optimal parameter estimation in the presence of missing data are well established in inference, typically relying on the Missing-at-Random (MAR) assumption. In prediction, similar principles are often assumed to apply.…

Methodology · Statistics 2026-03-19 Pierre Catoire , Robin Genuer , Cecile Proust-Lima

Logistic regression is key method for modeling the probability of a binary outcome based on a collection of covariates. However, the classical formulation of logistic regression relies on the independent sampling assumption, which is often…

Statistics Theory · Mathematics 2024-09-25 Somabha Mukherjee , Ziang Niu , Sagnik Halder , Bhaswar B. Bhattacharya , George Michailidis

We study high-dimensional regression with missing entries in the covariates. A common strategy in practice is to \emph{impute} the missing entries with an appropriate substitute and then implement a standard statistical procedure acting as…

Statistics Theory · Mathematics 2020-01-28 Kabir Aladin Chandrasekher , Ahmed El Alaoui , Andrea Montanari

Heterogeneity is a dominant factor in the behaviour of many biological processes. Despite this, it is common for mathematical and statistical analyses to ignore biological heterogeneity as a source of variability in experimental data.…

Methods to handle missing data have been extensively explored in the context of estimation and descriptive studies, with multiple imputation being the most widely used method in clinical research. However, in the context of clinical risk…

Methodology · Statistics 2024-11-25 Junhui Mi , Rahul D. Tendulkar , Sarah M. C. Sittenfeld , Sujata Patil , Emily C. Zabor

Missing data is an universal problem in statistics. We develop a unified framework for estimating parameters defined by general estimating equations under a missing-at-random (MAR) mechanism, based on generalized entropy calibration…

Methodology · Statistics 2026-03-31 Mst Moushumi Pervin , Hengfang Wang , Jae Kwang Kim

Ising models describe the joint probability distribution of a vector of binary feature variables. Typically, not all the variables interact with each other and one is interested in learning the presumably sparse network structure of the…

Machine Learning · Computer Science 2019-07-09 Frank Nussbaum , Joachim Giesen

Sparse regression has emerged as a popular technique for learning dynamical systems from temporal data, beginning with the SINDy (Sparse Identification of Nonlinear Dynamics) framework proposed by arXiv:1509.03580. Quantifying the…

Methodology · Statistics 2023-08-21 Sara Venkatraman , Sumanta Basu , Martin T. Wells

This paper tackles the problem of integrated task and kinodynamic motion planning in uncertain environments. We consider a robot with nonlinear dynamics tasked with a Linear Temporal Logic over finite traces ($\ltlf$) specification…

Robotics · Computer Science 2026-04-02 Qi Heng Ho , Zachary N. Sunberg , Morteza Lahijanian

During wakefulness and deep sleep brain states, cortical neural networks show a different behavior, with the second characterized by transients of high network activity. To investigate their impact on neuronal behavior, we apply a pairwise…

Neurons and Cognition · Quantitative Biology 2017-10-30 Trang-Anh Nghiem , Olivier Marre , Alain Destexhe , Ulisse Ferrari

Simulation-based inference enables learning the parameters of a model even when its likelihood cannot be computed in practice. One class of methods uses data simulated with different parameters to infer models of the likelihood-to-evidence…

Machine Learning · Computer Science 2022-06-08 Giulio Isacchini , Natanael Spisak , Armita Nourmohammad , Thierry Mora , Aleksandra M. Walczak