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Rerandomization utilizes modern computing ability to improve covariate balance while adhering to the randomization principle originally advocated by RA Fisher. Affinely invariant rerandomization has the ``Equal Percent Variance Reducing''…

Methodology · Statistics 2025-04-03 Zhen Zhong , Donald B. Rubin

In the paper we provide new conditions ensuring the isolated calmness property and the Aubin property of parameterized variational systems with constraints depending, apart from the parameter, also on the solution itself. Such systems…

Optimization and Control · Mathematics 2019-02-21 Matúš Benko , Helmut Gfrerer , Jiří V. Outrata

In this paper, we consider subgeometric (specifically, polynomial) ergodicity of univariate nonlinear autoregressions with autoregressive conditional heteroskedasticity (ARCH). The notion of subgeometric ergodicity was introduced in the…

Econometrics · Economics 2025-01-15 Mika Meitz , Pentti Saikkonen

Scaling transformations involving a small parameter ({\em degenerate scalings}) are frequently used for ordinary differential equations that model (bio-) chemical reaction networks. They are motivated by quasi-steady state (QSS) of certain…

Dynamical Systems · Mathematics 2022-09-20 Christian Lax , Sebastian Walcher

In this paper, we develop a theoretical framework for bounding the CVaR of a random variable $X$ using another related random variable $Y$, under assumptions on their cumulative and density functions. Our results yield practical tools for…

Statistics Theory · Mathematics 2025-07-31 Yaacov Pariente , Vadim Indelman

A canonical formalism and constraint analysis for discrete systems subject to a variational action principle are devised. The formalism is equivalent to the covariant formulation, encompasses global and local discrete time evolution moves…

Mathematical Physics · Physics 2013-09-17 Bianca Dittrich , Philipp A Hoehn

A Vector Auto-Regressive (VAR) model is commonly used to model multivariate time series, and there are many penalized methods to handle high dimensionality. However in terms of spatio-temporal data, most methods do not take the spatial and…

Methodology · Statistics 2020-12-21 Zhenzhong Wang , Abolfazl Safikhani , Zhengyuan Zhu , David S. Matteson

Markov switching models are often used to analyze financial returns because of their ability to capture frequently observed stylized facts. In this paper we consider a multivariate Student-t version of the model as a viable alternative to…

Methodology · Statistics 2014-03-04 Mauro Bernardi , Antonello Maruotti , Lea Petrella

Multivariate time series exhibit two types of dependence: across variables and across time points. Vine copulas are graphical models for the dependence and can conveniently capture both types of dependence in the same model. We derive the…

Methodology · Statistics 2022-03-16 Thomas Nagler , Daniel Krüger , Aleksey Min

For a stationary sequence that is regularly varying and associated we give conditions which guarantee that partial sums of this sequence, under normalization related to the exponent of regular variation, converge in distribution to a…

Probability · Mathematics 2019-10-29 Adam Jakubowski

We investigate the impact of modifying the constraining relations of a Constraint Satisfaction Problem (CSP) instance, with a fixed template, on the set of solutions of the instance. More precisely we investigate sensitive instances: an…

Logic in Computer Science · Computer Science 2020-05-04 Libor Barto , Marcin Kozik , Johnson Tan , Matt Valeriote

In the rapidly rotating limit, we derive a balanced set of reduced equations governing the strongly nonlinear development of the convective wall-mode instability in the interior of a general container. The model illustrates that wall-mode…

We present a windowed technique to learn parsimonious time-varying autoregressive models from multivariate timeseries. This unsupervised method uncovers interpretable spatiotemporal structure in data via non-smooth and non-convex…

Machine Learning · Statistics 2020-05-21 Kameron Decker Harris , Aleksandr Aravkin , Rajesh Rao , Bingni Wen Brunton

Mixed-frequency Vector AutoRegressions (MF-VAR) model the dynamics between variables recorded at different frequencies. However, as the number of series and high-frequency observations per low-frequency period grow, MF-VARs suffer from the…

Econometrics · Economics 2022-03-21 Alain Hecq , Marie Ternes , Ines Wilms

We develop a unified approach for classification and regression support vector machines for data subject to right censoring. We provide finite sample bounds on the generalization error of the algorithm, prove risk consistency for a wide…

Machine Learning · Statistics 2013-01-15 Yair Goldberg , Michael R. Kosorok

Social science research often hinges on the relationship between categorical variables and outcomes. We introduce CAVIAR, a novel method for embedding categorical variables that assume values in a high-dimensional ambient space but are…

Econometrics · Economics 2024-04-12 Anirban Mukherjee , Hannah Hanwen Chang

In this paper we study the dynamics of the trapped region using a frame independent semi-tetrad covariant formalism for general Locally Rotationally Symmetric (LRS) class II spacetimes. We covariantly prove some important geometrical…

General Relativity and Quantum Cosmology · Physics 2016-04-06 Aymen I. M. Hamid , Rituparno Goswami , Sunil D. Maharaj

This article studies identification and estimation for the network vector autoregressive model with nonstationary regressors. In particular, network dependence is characterized by a nonstochastic adjacency matrix. The information set…

Econometrics · Economics 2024-01-09 Christis Katsouris

This article develops a new algorithm named TTRISK to solve high-dimensional risk-averse optimization problems governed by differential equations (ODEs and/or PDEs) under uncertainty. As an example, we focus on the so-called Conditional…

Numerical Analysis · Mathematics 2022-12-02 Harbir Antil , Sergey Dolgov , Akwum Onwunta

Conditional visual generation has witnessed remarkable progress with the advent of diffusion models (DMs), especially in tasks like control-to-image generation. However, challenges such as expensive computational cost, high inference…

Computer Vision and Pattern Recognition · Computer Science 2024-10-03 Xiang Li , Kai Qiu , Hao Chen , Jason Kuen , Zhe Lin , Rita Singh , Bhiksha Raj