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Designing fare systems for public transportation networks is a challenging task. A popular approach is to partition the network into fare zones (``zoning'') and fix journey prices depending on the number of traversed zones (``pricing''). In…

数据结构与算法 · 计算机科学 2026-04-27 Martin Hoefer , Lennart Kauther , Philipp Pabst , Britta Peis , Khai Van Tran

Optimization of non-convex loss surfaces containing many local minima remains a critical problem in a variety of domains, including operations research, informatics, and material design. Yet, current techniques either require extremely high…

机器学习 · 计算机科学 2021-07-21 Amil Merchant , Luke Metz , Sam Schoenholz , Ekin Dogus Cubuk

The orienteering problem is a well-studied and fundamental problem in transportation science. In the problem, we are given a graph with prizes on the nodes and lengths on the edges, together with a budget on the overall tour length. The…

最优化与控制 · 数学 2024-07-04 Eduardo Álvarez-Miranda , Markus Sinnl , Kübra Tanınmış

This paper concerns the numerical solution of the finite-horizon Optimal Investment problem with transaction costs under Potential Utility. The problem is initially posed in terms of an evolutive HJB equation with gradient constraints. In…

计算金融 · 定量金融 2017-02-09 Javier de Frutos , Victor Gaton

Given an n-vertex graph G, a drawing of G in the plane is a mapping of its vertices into points of the plane, and its edges into continuous curves, connecting the images of their endpoints. A crossing in such a drawing is a point where two…

数据结构与算法 · 计算机科学 2010-10-20 Julia Chuzhoy , Yury Makarychev , Anastasios Sidiropoulos

Off-policy evaluation (OPE) is the problem of estimating the value of a target policy from samples obtained via different policies. Recently, applying OPE methods for bandit problems has garnered attention. For the theoretical guarantees of…

机器学习 · 计算机科学 2020-10-26 Masahiro Kato , Kenshi Abe , Kaito Ariu , Shota Yasui

This paper analyzes the problem of starting and stopping a Cox-Ingersoll-Ross (CIR) process with fixed costs. In addition, we also study a related optimal switching problem that involves an infinite sequence of starts and stops. We…

数理金融 · 定量金融 2015-03-31 Tim Leung , Xin Li , Zheng Wang

The key issue in importance sampling is the choice of the alternative sampling distribution, which is often chosen from the exponential tilt family of the underlying distribution. However, when the problem exhibits certain kind of…

概率论 · 数学 2013-05-15 Hui Wang , Xiang Zhou

In this work, we study a new approach to optimizing the margin distribution realized by binary classifiers. The classical approach to this problem is simply maximization of the expected margin, while more recent proposals consider…

机器学习 · 统计学 2018-10-12 Matthew J. Holland

Combinatorial optimization is considered a promising class of problems in which quantum computers can show significant advantages. However, problems of practical relevance typically have more variables than current or foreseeable quantum…

量子物理 · 物理学 2025-12-23 Mathias Schmid , Naeimeh Mohseni , Michael J. Hartmann

This report is an introduction to transcription methods for trajectory optimization techniques. The first few sections describe the two classes of transcription methods (shooting \& simultaneous) that are used to convert the trajectory…

最优化与控制 · 数学 2017-07-04 Matthew P. Kelly

Ports, warehouses and courier services have to decide online how an arriving task is to be served in order that cost is minimized (or profit maximized). These operators have a wealth of historical data on task assignments; can these data be…

数据结构与算法 · 计算机科学 2007-05-23 Jason W. H. Lee , Y. C. Tay , Anthony K. H. Tung

We consider a new approach to portfolio selection in presence of transaction costs which allows to map the problem into one without costs. The proposed approach connects all the quantities of interest to exit times and probabilities to…

无序系统与神经网络 · 物理学 2008-12-10 R. Baviera

In the online bin packing problem, a sequence of items is revealed one at a time, and each item must be packed into an available bin instantly upon its arrival. In this paper, we revisit the problem under a setting where the total number of…

数据结构与算法 · 计算机科学 2021-12-07 Shang Liu , Xiaocheng Li

Overconservatism has long been recognized as a major issue with robust optimization, despite its key advantages of tractability, performance guarantee, and limited information. To address this issue, a new criterion is proposed that can…

最优化与控制 · 数学 2026-03-20 Yingjie Lan

In the knapsack problem under explorable uncertainty, we are given a knapsack instance with uncertain item profits. Instead of having access to the precise profits, we are only given uncertainty intervals that are guaranteed to contain the…

数据结构与算法 · 计算机科学 2025-07-04 Jens Schlöter

Optimal transport (OT) is a powerful geometric and probabilistic tool for finding correspondences and measuring similarity between two distributions. Yet, its original formulation relies on the existence of a cost function between the…

机器学习 · 统计学 2020-11-09 Ievgen Redko , Titouan Vayer , Rémi Flamary , Nicolas Courty

We investigate the Optimal Obstacle Placement (OOP) problem under uncertainty, framed as the dual of the Optimal Traversal Path problem in the Stochastic Obstacle Scene paradigm. We consider both continuous domains, discretized for…

应用统计 · 统计学 2025-09-09 Li Zhou , Elvan Ceyhan , Polat Charyyev

The operation of open-cast lignite mines is a large intervention in nature, making the areas uninhabitable even after closing the mines without renaturation processes. Renaturation of these large areas requires a regional planning process…

人机交互 · 计算机科学 2024-04-19 Yves Annanias , Christofer Meinecke , Daniel Wiegreffe

The stable allocation problem is one of the broadest extensions of the well-known stable marriage problem. In an allocation problem, edges of a bipartite graph have capacities and vertices have quotas to fill. Here we investigate the case…

离散数学 · 计算机科学 2014-07-14 Agnes Cseh , Martin Skutella