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We study partitions of the symmetric group which have desirable geometric properties. The statistical tests defined by such partitions involve counting all permutations in the equivalence classes. These permutations are the linear…

Statistics Theory · Mathematics 2007-06-13 Jason Morton , Lior Pachter , Anne Shiu , Bernd Sturmfels , Oliver Wienand

Pure-jump processes have been increasingly popular in modeling high-frequency financial data, partially due to their versatility and flexibility. In the meantime, several statistical tests have been proposed in the literature to check the…

Statistics Theory · Mathematics 2015-04-03 Xin-Bing Kong , Zhi Liu , Bing-Yi Jing

Multi-task learning is a framework that enforces different learning tasks to share their knowledge to improve their generalization performance. It is a hot and active domain that strives to handle several core issues; particularly, which…

Machine Learning · Computer Science 2021-02-23 Johnny Torres , Guangji Bai , Junxiang Wang , Liang Zhao , Carmen Vaca , Cristina Abad

A test based on tapering is proposed for use in testing a global linear hypothesis under a functional linear model. The test statistic is constructed as a weighted sum of squared linear combinations of Fourier coefficients, a tapered…

Statistics Theory · Mathematics 2008-10-09 Dan J. Spitzner

Test functions are important to validate new optimization algorithms and to compare the performance of various algorithms. There are many test functions in the literature, but there is no standard list or set of test functions one has to…

Optimization and Control · Mathematics 2010-08-04 Xin-She Yang

The paper considers a paired data framework and discuss the question of marginal homogeneity of bivariate high dimensional or functional data. The related testing problem can be endowed into a more general setting for paired random…

Methodology · Statistics 2021-05-04 Marc Ditzhaus , Daniel Gaigall

Characteristic-function based goodness-of-fit tests are suggested for multivariate observations. The test statistics, which are straightforward to compute, are defined as two-sample criteria measuring discrepancy between multivariate ranks…

Statistics Theory · Mathematics 2025-08-01 Zdeněk Hlávka , Šárka Hudecová , Simos G. Meintanis

Testing the equality in distributions of multiple samples is a common task in many fields. However, this problem for high-dimensional or non-Euclidean data has not been well explored. In this paper, we propose new nonparametric tests based…

Methodology · Statistics 2022-05-30 Hoseung Song , Hao Chen

Convex rank tests are partitions of the symmetric group which have desirable geometric properties. The statistical tests defined by such partitions involve counting all permutations in the equivalence classes. Each class consists of the…

Combinatorics · Mathematics 2008-02-17 Jason Morton , Lior Pachter , Anne Shiu , Bernd Sturmfels , Oliver Wienand

We test the null hypothesis that two parameters $(\mu_1,\mu_2)$ have the same sign, assuming that (asymptotically) normal estimators $(\hat{\mu}_1,\hat{\mu}_2)$ are available. Examples of this problem include the analysis of heterogeneous…

Econometrics · Economics 2025-12-16 Douglas L. Miller , Francesca Molinari , Jörg Stoye

Given a function f: {0,1}^n \to {0,1}, the f-isomorphism testing problem requires a randomized algorithm to distinguish functions that are identical to f up to relabeling of the input variables from functions that are far from being so. An…

Data Structures and Algorithms · Computer Science 2011-12-30 Eric Blais , Amit Weinstein , Yuichi Yoshida

We propose a test of fairness in score-based ranking systems called matched pair calibration. Our approach constructs a set of matched item pairs with minimal confounding differences between subgroups before computing an appropriate measure…

We study a type checking algorithm that is able to type check a nontrivial subclass of functional programs that use features such as higher-rank, impredicative and second-order types. The only place the algorithm requires type annotation is…

Logic in Computer Science · Computer Science 2017-11-15 Peng Fu

This paper studies the problem of testing whether a function is monotone from a nonparametric Bayesian perspective. Two new families of tests are constructed. The first uses constrained smoothing splines, together with a hierarchical…

Methodology · Statistics 2014-06-03 James G. Scott , Thomas S. Shively , Stephen G. Walker

Binary classification is a fundamental task in machine learning, with applications spanning various scientific domains. Whether scientists are conducting fundamental research or refining practical applications, they typically assess and…

Machine Learning · Computer Science 2023-10-20 Attila Fazekas , György Kovács

The Wilcoxon signed-rank test and the Wilcoxon-Mann-Whitney test are commonly employed in one sample and two sample mean tests for one-dimensional hypothesis problems. For high-dimensional mean test problems, we calculate the asymptotic…

Methodology · Statistics 2024-01-02 Yu Zhang , Long Feng

This paper examines the problem of nonparametric testing for the no-effect of a random covariate (or predictor) on a functional response. This means testing whether the conditional expectation of the response given the covariate is almost…

Statistics Theory · Mathematics 2014-11-25 Valentin Patilea , Cesar Sanchez-Sellero , Matthieu Saumard

This paper proposes a novel signed $\beta$-model for directed signed network, which is frequently encountered in application domains but largely neglected in literature. The proposed signed $\beta$-model decomposes a directed signed network…

Methodology · Statistics 2023-10-09 Haoran Zhang , Junhui Wang

This paper concerns the modeling of multi-way functional data where double or multiple indices are involved. We introduce a concept of weak separability. The weakly separable structure supports the use of factorization methods that…

Methodology · Statistics 2018-11-15 Brian Lynch , Kehui Chen

In this work we present work in progress on functionality duplication detection in logic programs. Eliminating duplicated functionality recently became prominent in context of refactoring. We describe a quantitative approach that allows to…

Programming Languages · Computer Science 2007-05-23 Alexander Serebrenik , Wim Vanhoof
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