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Quadratic programming (QP) forms a crucial foundation in optimization, encompassing a broad spectrum of domains and serving as the basis for more advanced algorithms. Consequently, as the scale and complexity of modern applications continue…

Optimization and Control · Mathematics 2025-01-28 Augustinos D. Saravanos , Hunter Kuperman , Alex Oshin , Arshiya Taj Abdul , Vincent Pacelli , Evangelos A. Theodorou

In order to improve the profitability and customer service management of original equipment manufacturers (OEMs) in a market where full-service (FS) and on-call service (OS) co-exist, this article extends the optimizing modelling for…

Applications · Statistics 2022-04-13 Aiping Jiang , Lin Li , Xuemin Xu , David Y. C. Huang

This paper addresses the analysis and design of quadratic neural networks, which have been recently introduced in the literature, and their applications to regression, classification, system identification and control of dynamical systems.…

Machine Learning · Computer Science 2022-07-28 Luis Rodrigues , Sidney Givigi

We study the problem of online dynamic pricing with two types of fairness constraints: a "procedural fairness" which requires the proposed prices to be equal in expectation among different groups, and a "substantive fairness" which requires…

Machine Learning · Computer Science 2022-09-27 Jianyu Xu , Dan Qiao , Yu-Xiang Wang

We consider the problem of dynamic pricing of a product in the presence of feature-dependent price sensitivity. Developing practical algorithms that can estimate price elasticities robustly, especially when information about no purchases…

Machine Learning · Statistics 2022-12-21 Ravi Kumar , Shahin Boluki , Karl Isler , Jonas Rauch , Darius Walczak

This paper introduces a novel framework for dynamic classification in high dimensional spaces, addressing the evolving nature of class distributions over time or other index variables. Traditional discriminant analysis techniques are…

Methodology · Statistics 2025-02-18 Wenbo Ouyang , Ruiyang Wu , Ning Hao , Hao Helen Zhang

We revisit the classic ski rental problem through the lens of Bayesian decision-making and machine-learned predictions. While traditional algorithms minimize worst-case cost without assumptions, and recent learning-augmented approaches…

Machine Learning · Computer Science 2025-12-09 Bosun Kang , Hyejun Park , Chenglin Fan

Nowadays, a significant share of the business-to-consumer sector is based on online platforms like Amazon and Alibaba and uses AI for pricing strategies. This has sparked debate on whether pricing algorithms may tacitly collude to set…

General Economics · Economics 2025-03-17 Shidi Deng , Maximilian Schiffer , Martin Bichler

In this paper, we propose control-theoretic methods as tools for the design of online optimization algorithms that are able to address dynamic, noisy, and partially uncertain time-varying quadratic objective functions. Our approach…

Optimization and Control · Mathematics 2025-02-03 Umberto Casti , Sandro Zampieri

When agents trade in a Duality-based Cost Function prediction market, they collectively implement the learning algorithm Follow-The-Regularized-Leader. We ask whether other learning algorithms could be used to inspire the design of…

Machine Learning · Computer Science 2025-05-08 Enrique Nueve , Bo Waggoner

While supervised learning is widely used for perception modules in conventional autonomous driving solutions, scalability is hindered by the huge amount of data labeling needed. In contrast, while end-to-end architectures do not require…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Elmira Amirloo , Mohsen Rohani , Ershad Banijamali , Jun Luo , Pascal Poupart

This paper explores the application of Machine Learning techniques for pricing high-dimensional options within the framework of the Uncertain Volatility Model (UVM). The UVM is a robust framework that accounts for the inherent…

Computational Finance · Quantitative Finance 2025-06-06 Ludovic Goudenege , Andrea Molent , Antonino Zanette

We study contextual dynamic pricing in a semiparametric scalar-index valuation model where the latent value is $v_t=\mu_\ast(\mathsf c_t)+\xi_t$, with an unknown utility map $\mu_\ast$ and an unknown additive noise distribution. The key…

Machine Learning · Statistics 2026-05-18 Yingying Fan , Yuxuan Han , Jinchi Lv , Xiaocong Xu , Zhengyuan Zhou

New approaches to the theory of dynamic programming view dynamic programs as families of policy operators acting on partially ordered sets. In this paper, we extend these ideas by shifting from arbitrary partially ordered sets to ordered…

Optimization and Control · Mathematics 2026-02-02 Nisha Peng , John Stachurski

Online ride-hailing platforms aim to deliver efficient mobility-on-demand services, often facing challenges in balancing dynamic and spatially heterogeneous supply and demand. Existing methods typically fall into two categories:…

Artificial Intelligence · Computer Science 2025-10-28 Yi Zhang , Yushen Long , Yun Ni , Liping Huang , Xiaohong Wang , Jun Liu

Scientific machine learning for inferring dynamical systems combines data-driven modeling, physics-based modeling, and empirical knowledge. It plays an essential role in engineering design and digital twinning. In this work, we primarily…

Machine Learning · Computer Science 2024-01-09 Pawan Goyal , Igor Pontes Duff , Peter Benner

We consider the problem of stochastic optimal control, where the state-feedback control policies take the form of a probability distribution and where a penalty on the entropy is added. By viewing the cost function as a Kullback- Leibler…

Optimization and Control · Mathematics 2024-12-12 Marc Lambert , Francis Bach , Silvère Bonnabel

This paper bridges some of the gap between optimal planning and reinforcement learning (RL), both of which share roots in dynamic programming applied to sequential decision making or optimal control. Whereas planning typically favors…

Robotics · Computer Science 2026-03-10 Filip V. Georgiev , Kalle G. Timperi , Başak Sakçak , Steven M. LaValle

Quadratization of polynomial and nonpolynomial systems of ordinary differential equations is advantageous in a variety of disciplines, such as systems theory, fluid mechanics, chemical reaction modeling and mathematical analysis. A…

Symbolic Computation · Computer Science 2023-12-07 Andrey Bychkov , Opal Issan , Gleb Pogudin , Boris Kramer

Minimizing the peak power consumption and matching demand to supply, under fixed threshold polices, are two key requirements for the success of the future electricity market. In this work, we consider dynamic pricing methods to minimize the…

Optimization and Control · Mathematics 2016-10-26 Zaid Almahmoud , Jacob Crandall , Khaled Elbassioni , Trung Thanh Nguyen , Mardavij Roozbehani