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Many real-world problems require making sequences of decisions where the outcomes of each decision are probabilistic and uncertain, and the availability of different actions is constrained by the outcomes of previous actions. There is a…

Optimization and Control · Mathematics 2025-04-28 Berk Ozturk , She'ifa Punla-Green , Les Servi

A purely state-dependent cost function can be modified by introducing a control-dependent term rewarding submaximal control utilization. A moderation incentive is identically zero on the boundary of the admissible control region and…

Optimization and Control · Mathematics 2010-01-05 Debra Lewis

The optimal age that a retiree claims social security retirement benefits is in general a complicated function of many factors. However, if the beneficiary's finances and health are not the constraining factors, it is possible to formally…

General Economics · Economics 2023-01-11 A. Y. Aydemir

Nowadays, cities are frequently exposed to heatwaves, worsening the outdoor thermal comfort and increasing cooling energy demand in summer. Urban forestry is seen as one of the viable and preferable solutions to combating extreme heat…

Fluid Dynamics · Physics 2023-01-25 Haiwei Li , Yongling Zhao , Ronita Bardhan , Aytac Kubilay , Dominique Derome , Jan Carmeliet

In order to avoid disadvantages of monocropping for soil and environment, it is advisable to practice intercropping of various plant species whenever possible. However, intercropping is challenging as it requires a balanced planting…

Computers and Society · Computer Science 2021-12-21 Maurice Günder , Nico Piatkowski , Laura von Rueden , Rafet Sifa , Christian Bauckhage

We consider an infinite time horizon spatially distributed optimal harvesting problem for a vegetation and soil water reaction diffusion system, with rainfall as the main external parameter. By Pontryagin's maximum principle we derive the…

Optimization and Control · Mathematics 2016-01-12 Hannes Uecker

This paper studies the problem of optimally extracting nonrenewable natural resources. Taking into account the fact that the market values of the main natural resources i.e. oil, natural gas, copper,..., etc, fluctuate randomly following…

General Economics · Economics 2018-07-23 Moustapha Pemy

Tree rotations (left and right) are basic local deformations allowing to transform between two unlabeled binary trees of the same size. Hence, there is a natural problem of practically finding such transformation path with low number of…

Data Structures and Algorithms · Computer Science 2016-10-20 Jarek Duda

Cost optimal scenarios derived from models of a highly renewable electricity system depend on the specific input data, cost assumptions and system constraints. Here this influence is studied using a techno-economic optimisation model for a…

Physics and Society · Physics 2018-08-21 David P. Schlachtberger , Tom Brown , Mirko Schäfer , Stefan Schramm , Martin Greiner

We present efficient algorithms for computing a maximum agreement forest (MAF) of a pair of multifurcating (nonbinary) rooted trees. Our algorithms match the running times of the currently best algorithms for the binary case. The size of an…

Data Structures and Algorithms · Computer Science 2013-05-03 Chris Whidden , Robert G. Beiko , Norbert Zeh

This paper studies how household heterogeneity affects the level and cyclical behavior of the optimal carbon tax in a real economy. We demonstrate that an equity-efficiency trade-off arises due to income inequality and heterogeneity in the…

Theoretical Economics · Economics 2025-03-04 Cristiano Cantore , Giovanni Di Bartolomeo , Francesco Saverio Gaudio

Climate change is increasing the intensity and frequency of many extreme weather events, including heatwaves, which results in increased thermal discomfort and mortality rates. While global mitigation action is undoubtedly necessary, so is…

Computer Vision and Pattern Recognition · Computer Science 2023-10-10 Simon Schrodi , Ferdinand Briegel , Max Argus , Andreas Christen , Thomas Brox

Random forests are a very effective and commonly used statistical method, but their full theoretical analysis is still an open problem. As a first step, simplified models such as purely random forests have been introduced, in order to shed…

Statistics Theory · Mathematics 2014-07-16 Sylvain Arlot , Robin Genuer

We introduce and study the online pause and resume problem. In this problem, a player attempts to find the $k$ lowest (alternatively, highest) prices in a sequence of fixed length $T$, which is revealed sequentially. At each time step, the…

Data Structures and Algorithms · Computer Science 2024-01-17 Adam Lechowicz , Nicolas Christianson , Jinhang Zuo , Noman Bashir , Mohammad Hajiesmaili , Adam Wierman , Prashant Shenoy

In recent years, dynamically growing data and incrementally growing number of classes pose new challenges to large-scale data classification research. Most traditional methods struggle to balance the precision and computational burden when…

Machine Learning · Computer Science 2016-11-01 Tingting Xie , Yuxing Peng , Changjian Wang

Carbon dioxide removal (CDR) moves atmospheric carbon to geological or land-based sinks. In a first-best setting, the optimal use of CDR is achieved by a removal subsidy that equals the optimal carbon tax and marginal damages. We derive…

General Economics · Economics 2022-12-20 Max Franks , Matthias Kalkuhl , Kai Lessmann

We study the convergence of the predictive surface of regression trees and forests. To support our analysis we introduce a notion of adaptive concentration for regression trees. This approach breaks tree training into a model selection…

Statistics Theory · Mathematics 2016-05-03 Stefan Wager , Guenther Walther

In this paper, we consider the problem of pollution control in a system that undergoes regular regime shifts. We first show that the optimal policy of pollution abatement is periodic as well, and is described by the unique hybrid limit…

Systems and Control · Electrical Eng. & Systems 2023-05-30 Dmitry Gromov , Tadashi Shigoka , Anton Bondarev

In this paper,we study the individual's optimal retirement time and optimal consumption under habitual persistence. Because the individual feels equally satisfied with a lower habitual level and is more reluctant to change the habitual…

Mathematical Finance · Quantitative Finance 2021-04-01 Lin He , Zongxia Liang , Yilun Song , Qi Ye

Reconciling agricultural production with climate-change mitigation is a formidable sustainability problem. Retaining trees in agricultural systems is one proposed solution, but the magnitude of the current and future-potential benefit that…