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In data envelopment analysis (DEA) literature, the returns to scale (RTS) of an inefficient decision making unit (DMU) is determined at its projected point on the efficient frontier. Under the occurrences of multiple projection points,…

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

Identification of the reference set for each decision making unit (DMU) is a main concern in the data envelopment analysis (DEA). All of the methods developed to date have been focused on finding the furthest reference DMUs. In this paper,…

Optimization and Control · Mathematics 2014-07-10 Israfil Roshdi , Mahmood Mehdiloozad , Dimitris Margaritis

It is well established that multiple reference sets may occur for a decision making unit (DMU) in the non-radial DEA (data envelopment analysis) setting. As our first contribution, we differentiate between three types of reference set.…

Optimization and Control · Mathematics 2015-04-01 Mahmood Mehdiloozad , S. Morteza Mirdehghan , Biresh K. Sahoo , Israfil Roshdi

Data envelopment analysis (DEA) is one of the most commonly used methods to estimate the returns to scale (RTS) of the public sector (e.g., research institutions). Existing studies are all based on the traditional definition of RTS in…

Optimization and Control · Mathematics 2014-05-20 Guoliang Yang , Wenbin Liu , Wanfang Shen , Xiaoxuan Li

The models that set the closest targets have made an important contribution to DEA as tool for the best-practice benchmarking of decision making units (DMUs). These models may help defining plans for improvement that require less effort…

Optimization and Control · Mathematics 2017-11-28 Nuria Ramón , José L. Ruiz , Inmaculada Sirvent

While measuring returns to scale in data envelopment analysis (DEA), the occurrence of multiple supporting hyperplanes has been perceived as a crucial issue. To deal effectively with this in weigh restrictions (WR) framework, we first…

Optimization and Control · Mathematics 2015-07-03 Mahmood Mehdiloozad , Kaoru Tone , Biresh K. Sahoo

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

Data envelopment analysis (DEA) is a linear program (LP)-based method used to determine the efficiency of a decision making unit (DMU), which transforms inputs to outputs, by peer comparison. This paper presents a new computation algorithm…

Optimization and Control · Mathematics 2018-07-30 Wen-Chih Chen

In this paper, we reveal a new characterization of the super-efficiency model for Data Envelopment Analysis (DEA). In DEA, the efficiency of each decision making unit (DMU) is measured by the ratio the weighted sum of outputs divided by the…

Optimization and Control · Mathematics 2024-11-04 Tomonari Kitahara , Takashi Tsuchiya

Data Envelopment Analysis (DEA) is widely used as a benchmarking tool for improving performance of organizations. For that purpose, DEA analyses provide information on both target setting and peer identification. However, the identification…

Optimization and Control · Mathematics 2020-01-20 José L. Ruiz , Inmaculada Sirvent

The vast majority of Dimensionality Reduction (DR) techniques rely on second-order statistics to define their optimization objective. Even though this provides adequate results in most cases, it comes with several shortcomings. The methods…

Computer Vision and Pattern Recognition · Computer Science 2017-08-21 Nikolaos Passalis , Anastasios Tefas

Compressive Sensing (CS) stipulates that a sparse signal can be recovered from a small number of linear measurements, and that this recovery can be performed efficiently in polynomial time. The framework of model-based compressive sensing…

Information Theory · Computer Science 2015-04-22 Chinmay Hegde , Piotr Indyk , Ludwig Schmidt

Dimensionality Reduction (DR) is widely used for visualizing high-dimensional data, often with the goal of revealing expected cluster structure. However, such a structure may not always appear in the projections. Existing DR quality metrics…

Machine Learning · Computer Science 2025-09-05 Diede P. M. van der Hoorn , Alessio Arleo , Fernando V. Paulovich

The recent study by [Mehdiloozad, Mirdehghan, Sahoo, & Roshdi (2015) On the identification of the global reference set in data envelopment analysis. EJOR, 245, 779-788] proposes a linear programming (LP) model for the problem of finding the…

Optimization and Control · Mathematics 2015-07-24 Mahmood Mehdiloozad

Distance metric learning can be viewed as one of the fundamental interests in pattern recognition and machine learning, which plays a pivotal role in the performance of many learning methods. One of the effective methods in learning such a…

Machine Learning · Computer Science 2020-02-21 Mostafa Razavi Ghods , Mohammad Hossein Moattar , Yahya Forghani

In benchmarking, organizations look outward to examine others' performance in their industry or sector. Often, they can learn from the best practices of some of them and improve. In order to develop this idea within the framework of Data…

Optimization and Control · Mathematics 2019-12-04 Nuria Ramón , José L. Ruiz , Inmaculada Sirvent

We propose a versatile, parameter-less approach for solving the shape matching problem, specifically in the context of atomic structures when atomic assignments are not known a priori. The algorithm Iteratively suggests Rotated…

Computational Physics · Physics 2021-11-02 Miha Gunde , Nicolas Salles , Anne Hémeryck , Layla Martin-Samos

Multi-criteria decision-making often requires finding a small representative set from the database. A recently proposed method is the regret minimization set (RMS) query. RMS returns a size $r$ subset $S$ of dataset $D$ that minimizes the…

Machine Learning · Computer Science 2022-03-10 Xingxing Xiao , Jianzhong Li

We consider the vector embedding problem. We are given a finite set of items, with the goal of assigning a representative vector to each one, possibly under some constraints (such as the collection of vectors being standardized, i.e.,…

Machine Learning · Computer Science 2021-08-26 Akshay Agrawal , Alnur Ali , Stephen Boyd

Despite the promising results, existing oriented object detection methods usually involve heuristically designed rules, e.g., RRoI generation, rotated NMS. In this paper, we propose an end-to-end framework for oriented object detection,…

Computer Vision and Pattern Recognition · Computer Science 2023-03-02 Qiang Zhou , Chaohui Yu , Zhibin Wang , Fan Wang
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