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Bicoherence analysis is a well established method for identifying the quadratic nonlinearity of stationary processes. However, it is often applied without checking the basic assumptions of stationarity and convergence. The classic…

Signal Processing · Electrical Eng. & Systems 2018-11-08 Peter Zsolt Poloskei , Gergely Papp , Gabor Por , Laszlo Horvath , Gergo I. Pokol

Bayesian tests on the symmetry of the generalized von Mises model for planar directions (Gatto and Jammalamadaka, 2007) are introduced. The generalized von Mises distribution is a flexible model that can be axially symmetric or asymmetric,…

Statistics Theory · Mathematics 2021-05-04 Sara Salvador , Riccardo Gatto

Mixed effects regression models are widely used by language researchers. However, these regressions are implemented with an algorithm which may not converge on a solution. While convergence issues in linear mixed effects models can often be…

Applications · Statistics 2018-09-10 Amelia Kimball , Kailen Shantz , Christopher Eager , Joseph Roy

Does neural machine translation yield translations that are congenial with common sense? In this paper, we present a test suite to evaluate the commonsense reasoning capability of neural machine translation. The test suite consists of three…

Computation and Language · Computer Science 2025-03-06 Jie He , Tao Wang , Deyi Xiong , Qun Liu

Implementing Bayesian inference is often computationally challenging in applications involving complex models, and sometimes calculating the likelihood itself is difficult. Synthetic likelihood is one approach for carrying out inference…

Computation · Statistics 2021-03-15 David T. Frazier , David J. Nott , Christopher Drovandi , Robert Kohn

This paper addresses the problem of distributed hypothesis testing in multi-agent networks, where agents repeatedly collect local observations about an unknown state of the world, and try to collaboratively detect the true state through…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-13 Lili Su , Nitin H. Vaidya

Measures of association play a central role in the social sciences to quantify the strength of a linear relationship between the variables of interest. In many applications researchers can translate scientific expectations to hypotheses…

Methodology · Statistics 2019-04-04 Joris Mulder , John P. T. M. Gelissen

We consider here Linear Temporal Logic (LTL) formulas interpreted over \emph{finite} traces. We denote this logic by LTLf. The existing approach for LTLf satisfiability checking is based on a reduction to standard LTL satisfiability…

Logic in Computer Science · Computer Science 2014-03-10 Jianwen Li , Lijun Zhang , Geguang Pu , Moshe Y. Vardi , Jifeng He

Large language models (LLMs) provide detailed and impressive responses to queries in English. However, are they really consistent at responding to the same query in other languages? The popular way of evaluating for multilingual performance…

Computation and Language · Computer Science 2025-05-29 Ashim Gupta , Maitrey Mehta , Zhichao Xu , Vivek Srikumar

The Bayes factor is a widely used criterion in model comparison and its logarithm is a difference of out-of-sample predictive scores under the logarithmic scoring rule. However, when some of the candidate models involve vague priors on…

Methodology · Statistics 2018-09-07 Stephane Shao , Pierre E. Jacob , Jie Ding , Vahid Tarokh

Human agents happen to judge that a conjunction of two terms is more probable than one of the terms, in contradiction with the rules of classical probabilities---this is the conjunction fallacy. One of the most discussed accounts of this…

Physics and Society · Physics 2016-06-15 Thomas Boyer-Kassem , Sébastien Duchêne , Eric Guerci

Plausibility measures are structures for reasoning in the face of uncertainty that generalize probabilities, unifying them with weaker structures like possibility measures and comparative probability relations. So far, the theory of…

Quantum Physics · Physics 2015-05-07 Tobias Fritz , Matthew Leifer

The design of an experiment can be always be considered at least implicitly Bayesian, with prior knowledge used informally to aid decisions such as the variables to be studied and the choice of a plausible relationship between the…

Methodology · Statistics 2017-01-03 David C. Woods , Antony M. Overstall , Maria Adamou , Timothy W. Waite

The analysis of the adaptive behaviour of many different kinds of systems such as humans, animals and machines, requires more general ways of assessing their cognitive abilities. This need is strengthened by increasingly more tasks being…

Artificial Intelligence · Computer Science 2013-05-10 David L. Dowe , Jose Hernandez-Orallo

This paper describes methods for comparative evaluation of the interpretability of models of high dimensional time series data inferred by unsupervised machine learning algorithms. The time series data used in this investigation were logs…

Artificial Intelligence · Computer Science 2020-05-05 Nicholas Hoernle , Kobi Gal , Barbara Grosz , Leilah Lyons , Ada Ren , Andee Rubin

Large Language Models (LLMs) often produce outputs that -- though plausible -- can lack consistency and reliability, particularly in ambiguous or complex scenarios. Challenges arise from ensuring that outputs align with both factual…

Artificial Intelligence · Computer Science 2024-10-03 Weitong Zhang , Chengqi Zang , Bernhard Kainz

The twisted Gaussian Schell Model describes a family of partially coherent beams that present several interesting characteristics, and as such have attracted attention in classical and quantum optics. Recent techniques have been…

Counterfactual explanations (CEs) offer interpretable insights into machine learning predictions by answering ``what if?" questions. However, in real-world settings where models are frequently updated, existing counterfactual explanations…

Machine Learning · Computer Science 2026-02-12 Jamie Duell , Xiuyi Fan

We empirically show that Bayesian inference can be inconsistent under misspecification in simple linear regression problems, both in a model averaging/selection and in a Bayesian ridge regression setting. We use the standard linear model,…

Statistics Theory · Mathematics 2018-10-30 Peter Grünwald , Thijs van Ommen

Bayesian and frequentist criteria fundamentally differ, but often posterior and sampling distributions agree asymptotically (e.g., Gaussian with same covariance). For the corresponding single-draw experiment, we characterize the frequentist…

Statistics Theory · Mathematics 2024-07-04 David M. Kaplan , Longhao Zhuo