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This note explores probabilistic sampling weighted by uncertainty in active learning. This method has been previously used and authors have tangentially remarked on its efficacy. The scheme has several benefits: (1) it is computationally…

Machine Learning · Computer Science 2019-09-12 Vinay Jethava

In many settings, robust data analysis involves computational methods for uncertainty quantification and statistical inference. To design frequentist studies that leverage robust analysis methods, suitable sample sizes to achieve desired…

Methodology · Statistics 2025-12-19 Luke Hagar , Andrew J. Martin

Questions remain on the robustness of data-driven learning methods when crossing the gap from simulation to reality. We utilize weight anchoring, a method known from continual learning, to cultivate and fixate desired behavior in Neural…

Machine Learning · Computer Science 2023-04-21 Steffen Gracla , Edgar Beck , Carsten Bockelmann , Armin Dekorsy

In this paper, we propose a new flexible distribution for data on the three-dimensional torus which we call a trivariate wrapped Cauchy copula. Our trivariate copula has several attractive properties. It has a simple form of density and…

Methodology · Statistics 2025-11-04 Shogo Kato , Christophe Ley , Sophia Loizidou , Kanti V. Mardia

In this paper, we propose a robust data-driven process model whose hyperparameters are robustly estimated using the Schweppe-type generalized maximum likelihood estimator. The proposed model is trained on recorded time-series data of…

Systems and Control · Electrical Eng. & Systems 2023-01-24 Pooja Algikar , Yijun Xu , Somayeh Yarahmadi , Lamine Mili

Model selection is a central task in statistics, but standard methods are not robust in misspecified settings where the true data-generating process (DGP) is not in the set of candidate models. The key limitation is that existing methods --…

Methodology · Statistics 2026-03-10 Jongwoo Choi , Neil A. Spencer , Jeffrey W. Miller

Many data sources are naturally modeled by multiple weight assignments over a set of keys: snapshots of an evolving database at multiple points in time, measurements collected over multiple time periods, requests for resources served at…

Databases · Computer Science 2010-11-11 Edith Cohen , Haim Kaplan , Subhabrata Sen

In this work, we present a novel method for combining predictions of object detection models: weighted boxes fusion. Our algorithm utilizes confidence scores of all proposed bounding boxes to constructs the averaged boxes. We tested method…

Computer Vision and Pattern Recognition · Computer Science 2021-02-09 Roman Solovyev , Weimin Wang , Tatiana Gabruseva

Robust Bayesian models are appealing alternatives to standard models, providing protection from data that contains outliers or other departures from the model assumptions. Historically, robust models were mostly developed on a case-by-case…

Machine Learning · Statistics 2016-09-08 Chong Wang , David M. Blei

Robust methods, though ubiquitous in practice, are yet to be fully understood in the context of regularized estimation and high dimensions. Even simple questions become challenging very quickly. For example, classical statistical theory…

Statistics Theory · Mathematics 2023-11-10 Jing Zhou , Gerda Claeskens , Jelena Bradic

This paper develops likelihood-based methods for estimation, inference, model selection, and forecasting of continuous-time integer-valued trawl processes. The full likelihood of integer-valued trawl processes is, in general, highly…

Methodology · Statistics 2023-02-24 Mikkel Bennedsen , Asger Lunde , Neil Shephard , Almut E. D. Veraart

Weighted Updating generalizes Bayesian updating, allowing for biased beliefs by weighting the likelihood function and prior distribution with positive real exponents. I provide a rigorous foundation for the model by showing that…

Probability · Mathematics 2016-02-09 Jesse Aaron Zinn

In this work, we present a comprehensive treatment of weighted random sampling (WRS) over data streams. More precisely, we examine two natural interpretations of the item weights, describe an existing algorithm for each case ([2, 4]),…

Data Structures and Algorithms · Computer Science 2015-07-29 Pavlos S. Efraimidis

We endeavour to estimate numerous multi-dimensional means of various probability distributions on a common space based on independent samples. Our approach involves forming estimators through convex combinations of empirical means derived…

Machine Learning · Statistics 2025-03-11 Gilles Blanchard , Jean-Baptiste Fermanian , Hannah Marienwald

The last decade has seen max-stable processes emerge as a common tool for the statistical modeling of spatial extremes. However, their application is complicated due to the unavailability of the multivariate density function, and so…

Methodology · Statistics 2009-02-23 Simone A. Padoan , Mathieu Ribatet , Scott A. Sisson

Topography and gravity are geophysical fields whose joint statistical structure derives from interface-loading processes modulated by the underlying mechanics of isostatic and flexural compensation in the shallow lithosphere. Under this…

Geophysics · Physics 2013-02-25 Frederik J. Simons , Sofia C. Olhede

We propose a robust variable selection procedure using a divergence based M-estimator combined with a penalty function. It produces robust estimates of the regression parameters and simultaneously selects the important explanatory…

Methodology · Statistics 2020-01-01 Abhijit Mandal , Samiran Ghosh

Multiple imputation provides us with efficient estimators in model-based methods for handling missing data under the true model. It is also well-understood that design-based estimators are robust methods that do not require accurately…

Methodology · Statistics 2020-06-11 Kyunghee Han , Pamela A. Shaw , Thomas Lumley

We consider optimal decision-making problems in an uncertain environment. In particular, we consider the case in which the distribution of the input is unknown, yet there is abundant historical data drawn from the distribution. In this…

Optimization and Control · Mathematics 2014-10-03 Zizhuo Wang , Peter Glynn , Yinyu Ye

The generalised linear model (GLM) is a very important tool for analysing real data in biology, sociology, agriculture, engineering and many other application domain where the relationship between the response and explanatory variables may…

Methodology · Statistics 2016-07-04 Abhik Ghosh , Ayanendranath Basu