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This article concerns the predictive modeling for spatio-temporal data as well as model interpretation using data information in space and time. We develop a novel approach based on supervised dimension reduction for such data in order to…

Methodology · Statistics 2021-11-09 Heng-Hui Lue , ShengLi Tzeng

Scaled dot-product attention (SDPA) is a fundamental component responsible for the success of large-language models and other nonlinear signal processing applications. The rationale for SDPA has been based upon "query, key, value" concepts…

Machine Learning · Computer Science 2026-02-04 Terence D Sanger

Incentive plans involve payments for performance relative to some set of goals. In this paper, we extend Data Envelopment Analysis (DEA) to the evaluation of performance in the specific context of pay-for-performance incentive plans. The…

Optimization and Control · Mathematics 2019-09-06 Wade D. Cook , Nuria Ramón , José L. Ruiz , Inmaculada Sirvent , Joe Zhu

Evaluating the efficiency of organizations and branches within an organization is a challenging issue for managers. Evaluation criteria allow organizations to rank their internal units, identify their position concerning their competitors,…

Optimization and Control · Mathematics 2022-09-13 Vahid Kayvanfar , Hamed Baziyad , Shaya Sheikh , Frank Werner

In this article, the concepts of technical efficiency, efficiency, effectiveness and productivity are illustrated. It is discussed that when firms are not homogenous, the situation is the same as when each factor has a different unit of…

Optimization and Control · Mathematics 2017-12-05 Dariush Khezrimotlagh

This paper develops a simple two-stage variational Bayesian algorithm to estimate panel spatial autoregressive models, where N, the number of cross-sectional units, is much larger than T, the number of time periods without restricting the…

Econometrics · Economics 2023-09-08 Deborah Gefang , Stephen G. Hall , George S. Tavlas

Decision-making units (DMUs) in a group convert the same resources (i.e., input indices) into the same products (i.e., output indices) at different scales. Performance indices have different measurement units, and their market prices per…

Optimization and Control · Mathematics 2023-06-21 Fun-Hwa Franklin Liu , Su-Chuan Shih

We propose an approach for dynamic efficiency evaluation across multiple organizational dimensions using data envelopment analysis (DEA). The method generates both dimension-specific and aggregate efficiency scores, incorporates desirable…

Optimization and Control · Mathematics 2026-04-07 Hashem Omrani , Raha Imanirad , Adam Diamant , Utkarsh Verma , Amol Verma , Fahad Razak

Comparing yield quality distributions across multiple agricultural fields is fundamental for evaluating management practices, yet it is complicated by two pervasive data characteristics: non-normality and spatial autocorrelation.…

Methodology · Statistics 2026-03-03 Marco Mandap

Spatial association and heterogeneity are two critical areas in the research about spatial analysis, geography, statistics and so on. Though large amounts of outstanding methods has been proposed and studied, there are few of them tend to…

Econometrics · Economics 2018-03-26 Zihao Yuan

This study develops a data-driven group variable selection method for data envelopment analysis (DEA), a non-parametric linear programming approach to the estimation of production frontiers. The proposed method extends the group Lasso…

Optimization and Control · Mathematics 2014-02-18 Zhiwei Qin , Irene Song

In data envelopment analysis (DEA), the concept of efficiency is examined in either Farrell (DEA) or Pareto senses. In either of these senses, the efficiency status of a decision making unit (DMU) is classified as either weak or strong. It…

Optimization and Control · Mathematics 2015-08-10 Mahmood Mehdiloozad , Mohammad Bagher Ahmadi , Biresh K. Sahoo

Data envelopment analysis (DEA) works like a black box that does not provide any adequate detail to identify the specific reason for inefficiency in decision-making units (DMUs). The motivation of this study is to analyze the cause of the…

Optimization and Control · Mathematics 2022-06-06 Awadh Pratap Singh , Shiv Prasad Yadav

We propose a series-based nonparametric specification test for a regression function when data are spatially dependent, the `space' being of a general economic or social nature. Dependence can be parametric, parametric with increasing…

Econometrics · Economics 2022-08-30 Abhimanyu Gupta , Xi Qu

Effective multivariate time series forecasting often benefits from accurately modeling complex inter-variable dependencies. However, existing attention- or graph-based methods face three key issues: (a) strong temporal self-dependencies are…

Machine Learning · Computer Science 2025-12-19 Feng Xiong , Zongxia Xie , Yanru Sun , Haoyu Wang , Jianhong Lin

Spatially distributed functional data are prevalent in many statistical applications such as meteorology, energy forecasting, census data, disease mapping, and neurological studies. Given their complex and high-dimensional nature,…

Statistics Theory · Mathematics 2024-02-06 Suneel Babu Chatla , Ruiqi Liu

This handbook chapter provides an essential introduction to the field of spatial econometrics, offering a comprehensive overview of techniques and methodologies for analysing spatial data in the social sciences. Spatial econometrics…

Econometrics · Economics 2025-03-20 Tobias Rüttenauer

Evaluating the banks' performance has always been of interest due to their crucial role in the economic development of each country. Data envelopment analysis (DEA) has been widely used for measuring the performance of bank branches. In the…

Artificial Intelligence · Computer Science 2020-11-05 Mohammad Izadikhah

In this work, we introduce a deterministic frontier model in which efficiency is governed by the Matsuoka distribution, a parsimonious one-parameter specification on $(0,1)$ designed to reflect patterns typically observed in efficiency…

Methodology · Statistics 2026-01-14 Danilo Hiroshi Matsuoka , Guilherme Pumi , Hudson da Silva Torrent , Marcio valk

This paper proposes a novel slacks-based interval DEA approach that computes interval targets, slacks, and crisp inefficiency scores. It uses interval arithmetic and requires solving a mixed-integer linear program. The corresponding…

Optimization and Control · Mathematics 2023-11-17 Manuel Arana-Jiménez , Julio Lozano-Ramírez , M. Carmen Sánchez-Gil , Atefeh Younesi , Sebastián Lozano