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In this paper we propose a new multiple criteria decision aiding method to deal with sorting problems in which alternatives are evaluated on criteria structured in a hierarchical way and presenting interactions. The underlying preference…

Optimization and Control · Mathematics 2020-03-11 Sally Giuseppe Arcidiacono , Salvatore Corrente , Salvatore Greco

Considering the close interaction between spare parts logistics and maintenance planning, this paper presents a model for joint optimization of multi-location spare parts supply chain and condition-based maintenance under predictive and…

Optimization and Control · Mathematics 2018-10-17 Morteza Soltani

Bayesian optimization is a coherent, ubiquitous approach to decision-making under uncertainty, with applications including multi-arm bandits, active learning, and black-box optimization. Bayesian optimization selects decisions (i.e.…

Machine Learning · Computer Science 2023-12-13 Samuel Stanton , Wesley Maddox , Andrew Gordon Wilson

We study the problem of modeling purchase of multiple products and utilizing it to display optimized recommendations for online retailers and e-commerce platforms. We present a parsimonious multi-purchase family of choice models called the…

Information Retrieval · Computer Science 2023-08-08 Theja Tulabandhula , Deeksha Sinha , Saketh Reddy Karra , Prasoon Patidar

We derive an efficient stochastic algorithm for inverse problems that present an unknown linear forcing term and a set of nonlinear parameters to be recovered. It is assumed that the data is noisy and that the linear part of the problem is…

Numerical Analysis · Mathematics 2019-09-17 Darko Volkov

Probabilistic principal component analysis (PPCA) is a probabilistic reformulation of principal component analysis (PCA), under the framework of a Gaussian latent variable model. To improve the robustness of PPCA, it has been proposed to…

Methodology · Statistics 2023-11-28 Yiping Guo , Howard D. Bondell

We consider the well known, and notoriously difficult, problem of a single revenue-maximizing seller selling two or more heterogeneous goods to a single buyer whose private values for the goods are drawn from a (possibly correlated) known…

Computer Science and Game Theory · Computer Science 2022-09-23 Sergiu Hart , Noam Nisan

A recommender system based on ranks is proposed, where an expert's ranking of a set of objects and a user's ranking of a subset of those objects are combined to make a prediction of the user's ranking of all objects. The rankings are…

Machine Learning · Statistics 2018-02-12 Simon Guillotte , François Perron , Johan Segers

We present a simple dynamic equilibrium model for an online exchange where both buyers and sellers arrive according to a exogenously defined stochastic process. The structure of this exchange is motivated by the limit order book mechanism…

Computer Science and Game Theory · Computer Science 2008-12-02 Garud Iyengar , Anuj Kumar

This paper proposes a novel method for demand forecasting in a pricing context. Here, modeling the causal relationship between price as an input variable to demand is crucial because retailers aim to set prices in a (profit) optimal manner…

We study the uniform $2$-dimensional vector multiple knapsack (2VMK) problem, a natural variant of multiple knapsack arising in real-world applications such as virtual machine placement. The input for 2VMK is a set of items, each associated…

Data Structures and Algorithms · Computer Science 2023-07-06 Tomer Cohen , Ariel Kulik , Hadas Shachnai

We formulate and analyze a graphical model selection method for inferring the conditional independence graph of a high-dimensional nonstationary Gaussian random process (time series) from a finite-length observation. The observed process…

Machine Learning · Statistics 2016-09-14 Nguyen Tran Quang , Alexander Jung

We revisit the replica method for analyzing inference and learning in parametric models, considering situations where the data-generating distribution is unknown or analytically intractable. Instead of assuming idealized distributions to…

Disordered Systems and Neural Networks · Physics 2025-11-17 Takashi Takahashi

We study common properties of retail pricing models within a general framework of calculus of variations. In particular, we observe that for any demand model, optimal de-seasoned revenue rate divided by price elasticity is time invariant.…

Optimization and Control · Mathematics 2014-02-11 Alexander Kushkuley , Su-Ming Wu

Solutions to address the periodic review inventory control problem with nonstationary random demand, lost sales, and stochastic vendor lead times typically involve making strong assumptions on the dynamics for either approximation or…

Machine Learning · Statistics 2023-10-26 Dean Foster , Randy Jia , Dhruv Madeka

We give new approximation algorithms for the submodular joint replenishment problem and the inventory routing problem, using an iterative rounding approach. In both problems, we are given a set of $N$ items and a discrete time horizon of…

Data Structures and Algorithms · Computer Science 2019-12-03 Thomas Bosman , Neil Olver

Stochastic spectral methods have achieved great success in the uncertainty quantification of many engineering problems, including electronic and photonic integrated circuits influenced by fabrication process variations. Existing techniques…

Numerical Analysis · Mathematics 2018-12-06 Chunfeng Cui , Zheng Zhang

The problem of robust dynamic pricing of an abstract commodity, whose inventory is specified at an initial time but never subsequently replenished, originally studied by Perakis and Sood (2006) in discrete time, is considered from the…

Optimization and Control · Mathematics 2012-09-04 Terry L. Friesz , Changhyun Kwon , Tae Il Kim , Lifan Fan , Tao Yao

Stochastic optimization finds a wide range of applications in operations research and management science. However, existing stochastic optimization techniques usually require the information of random samples (e.g., demands in the…

Optimization and Control · Mathematics 2019-04-18 Xi Chen , Qihang Lin , Zizhuo Wang

Suppose there is a large collection of items, each with an associated cost and an inherent utility that is revealed only once we commit to selecting it. Given a budget on the cumulative cost of the selected items, how can we pick a subset…

Machine Learning · Computer Science 2015-06-08 Hastagiri P. Vanchinathan , Andreas Marfurt , Charles-Antoine Robelin , Donald Kossmann , Andreas Krause