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This paper reviews some of the phenomenological models which have been introduced to incorporate the scaling properties of financial data. It also illustrates a microscopic model, based on heterogeneous interacting agents, which provides a…

Statistical Mechanics · Physics 2009-10-31 Giulia Iori

Statisticians recommend the Design and Analysis of Experiments (DAE) for evidence-based research but often use tables to present their own simulation studies. Could DAE do better? We outline how DAE methods can be used to plan and analyze…

Methodology · Statistics 2021-11-30 Hugh Chipman , Derek Bingham

Data types that lie in metric spaces but not in vector spaces are difficult to use within the usual regression setting, either as the response and/or a predictor. We represent the information in these variables using distance matrices which…

Methodology · Statistics 2016-01-20 Julian Faraway

The purpose of order-of-addition (OofA) experiments is to identify the best order in a sequence of m components in a system or treatment. Such experiments may be analysed by various regression models, the most popular ones being based on…

Methodology · Statistics 2021-01-27 Hans-Peter Piepho , Emlyn R. Williams

An agent-based modelling methodology for the joint price evolution of two stocks is put forward. The method models future multidimensional price trajectories reflecting how a class of agents rebalance their portfolios in an operational way…

Mathematical Finance · Quantitative Finance 2025-03-25 Dario Crisci , Sebastian E. Ferrando , Konrad Gajewski

Including pairwise interactions between the predictors of a regression model can produce better predicting models. However, to fit such interaction models on typical data sets in biology and other fields can often require solving enormous…

Methodology · Statistics 2023-02-14 Guo Yu , Jacob Bien , Ryan Tibshirani

The current paradigm of test-time scaling relies on generating long reasoning traces ("thinking" more) before producing a response. In agent problems that require interaction, this can be done by generating thinking traces before acting in…

Factor analysis is a widely used technique for dimension reduction in high-dimensional data. However, a key challenge in factor models lies in the interpretability of the latent factors. One intuitive way to interpret these factors is…

Methodology · Statistics 2025-10-08 Xin Wang , Xialu Liu

Model-based experimental design is attracting increasing attention in chemical process engineering. Typically, an iterative procedure is pursued: an approximate model is devised, prescribed experiments are then performed and the resulting…

Optimization and Control · Mathematics 2021-01-25 Charlie Vanaret , Philipp Seufert , Jan Schwientek , Gleb Karpov , Gleb Ryzhakov , Ivan Oseledets , Norbert Asprion , Michael Bortz

Factor and sparse models are two widely used methods to impose a low-dimensional structure in high-dimensions. However, they are seemingly mutually exclusive. We propose a lifting method that combines the merits of these two models in a…

Econometrics · Economics 2022-09-07 Jianqing Fan , Ricardo Masini , Marcelo C. Medeiros

In this paper, we discuss the mechanics and planning algorithms to slide an object on a horizontal planar surface via frictional patch contact made with its top surface. Here, we propose an asymmetric dual limit surface model to determine…

Robotics · Computer Science 2023-05-24 Xili Yi , Nima Fazeli

Multilevel methods are among the most efficient numerical methods for solving large-scale systems of equations that arise from discretized partial differential equations. Two-level convergence theory plays a fundamental role in the analysis…

Numerical Analysis · Mathematics 2025-06-04 Xuefeng Xu

Simulation methods are among the most ubiquitous methodological tools in statistical science. In particular, statisticians often is simulation to explore properties of statistical functionals in models for which developed statistical theory…

Methodology · Statistics 2023-08-22 Tyrel Stokes , Ian Shrier , Russell Steele

This paper introduces a new representation for the actions of a market maker in an order-driven market. This representation uses scaled beta distributions, and generalises three approaches taken in the artificial intelligence for market…

Trading and Market Microstructure · Quantitative Finance 2022-09-28 Joseph Jerome , Gregory Palmer , Rahul Savani

We study the problem of high-dimensional regression when there may be interacting variables. Approaches using sparsity-inducing penalty functions such as the Lasso can be useful for producing interpretable models. However, when the number…

Methodology · Statistics 2016-12-30 Rajen D. Shah

We study multistage distributionally robust linear optimization, where the uncertainty set is defined as a ball of distribution centered at a scenario tree using the nested distance. The resulting minimax problem is notoriously difficult to…

Optimization and Control · Mathematics 2024-07-24 Rui Gao , Rohit Arora , Yizhe Huang

Two-level designs are widely used for screening experiments where the goal is to identify a few active factors which have major effects. Orthogonal two-level designs in which all factors are level-balance and each of the four level…

Methodology · Statistics 2025-04-08 Pi-Wen Tsai , Steven G. Gilmour

We apply the methods developed by Lockhart et al. (2013) and Taylor et al. (2013) on significance tests for penalized regression to forward stepwise model selection. A general framework for selection procedures described by quadratic…

Methodology · Statistics 2014-05-16 Joshua R. Loftus , Jonathan E. Taylor

Sensory analysis is an important area that the food industry can use to innovate and improve its products. This study involves a sample of individuals who can be trained or not to assess a product using a hedonic scale or notes, where the…

Quantitative Methods · Quantitative Biology 2024-08-07 João César Reis Alves , Gabriel Rodrigues Palma , Idemauro Antonio Rodrigues de Lara

Many real-world optimization problems contain parameters that are unknown before deployment time, either due to stochasticity or to lack of information (e.g., demand or travel times in delivery problems). A common strategy in such cases is…