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This paper presents several new tractability results for planning based on macros. We describe an algorithm that optimally solves planning problems in a class that we call inverted tree reducible, and is provably tractable for several…

Artificial Intelligence · Computer Science 2014-01-16 Anders Jonsson

An optimal control problem for the continuity equation is considered. The aim of a controller is to maximize the total mass within a target set at a given type moment. An iterative numerical algorithm for solving this problem is presented.

Optimization and Control · Mathematics 2017-08-21 Nikolay Pogodaev

Recommender systems can be characterized as software solutions that provide users convenient access to relevant content. Traditionally, recommender systems research predominantly focuses on developing machine learning algorithms that aim to…

Information Retrieval · Computer Science 2022-10-20 Dietmar Jannach

A common problem in the optimization of structures is the handling of uncertainties in the parameters. If the parameters appear in the constraints, the uncertainties can lead to an infinite number of constraints. Usually the constraints…

Optimization and Control · Mathematics 2012-05-01 Daniel P. Mohr , Ina Stein , Thomas Matzies , Christina A. Knapek

In practice, optimization tasks have some structure that allows developing new algorithms for every problem with faster convergence rates. Using the structure of optimization tasks, we can propose algorithms with more optimistic convergence…

Optimization and Control · Mathematics 2020-09-01 Alexander Tyurin

Scalable real-time assortment optimization has become essential in e-commerce operations due to the need for personalization and the availability of a large variety of items. While this can be done when there are simplistic assortment…

Artificial Intelligence · Computer Science 2021-03-03 Theja Tulabandhula , Deeksha Sinha , Saketh Karra

Object tracking systems play important roles in tracking moving objects and overcoming problems such as safety, security and other location-related applications. Problems arise from the difficulties in creating a well-defined and…

Software Engineering · Computer Science 2018-11-30 Sabah Al-Fedaghi , Yousef Atiyah

Shifted combinatorial optimization is a new nonlinear optimization framework, which is a broad extension of standard combinatorial optimization, involving the choice of several feasible solutions at a time. It captures well studied and…

Optimization and Control · Mathematics 2017-06-08 Martin Koutecky , Asaf Levin , Syed M. Meesum , Shmuel Onn

We consider relative or subjective optimization problems where the goal function and feasible set are dependent of the current state of the system under consideration. In general, they are formulated as quasi-equilibrium problems, hence…

Optimization and Control · Mathematics 2020-03-19 I. V. Konnov

We formulate and study the algorithmic mechanism design problem for a general class of resource allocation settings, where the center redistributes the private resources brought by individuals. Money transfer is forbidden. Distinct from the…

Computer Science and Game Theory · Computer Science 2015-03-24 Qipeng Liu , Yicheng Liu , Pingzhong Tang

The multi-objective optimization problem has always been the main objective of the principal traditional approaches, such as Ranking queries and Skyline queries. The conventional idea was to either use one or the other, trying to exploit…

Databases · Computer Science 2022-03-22 Simone Censuales

We introduce the refined assortment optimization problem where a firm may decide to make some of its products harder to get instead of making them unavailable as in the traditional assortment optimization problem. Airlines, for example,…

Theoretical Economics · Economics 2021-02-08 Gerardo Berbeglia , Alvaro Flores , Guillermo Gallego

A key challenge in solving a combinatorial optimization problem is how to guide the agent (i.e., solver) to efficiently explore the enormous search space. Conventional approaches often rely on enumeration (e.g., exhaustive, random, or tabu…

Artificial Intelligence · Computer Science 2020-08-11 Xingwen Zhang , Shuang Yang

Autonomous software agents operating in dynamic environments need to constantly reason about actions in pursuit of their goals, while taking into consideration norms which might be imposed on those actions. Normative practical reasoning…

Artificial Intelligence · Computer Science 2017-01-31 Zohreh Shams , Marina De Vos , Julian Padget , Wamberto W. Vasconcelos

The main aim of decision support systems is to find solutions that satisfy user requirements. Often, this leads to predictability of those solutions, in the sense that having the input data and the model, an adversary or enemy can predict…

Discrete Mathematics · Computer Science 2021-01-18 Daniel Karapetyan , Andrew J. Parkes

In recent years, with rising consumer demand, fresh products have gained increasing attention, leading to rapid growth in the fresh food market. However, due to their perishable nature and sensitivity to storage conditions, fresh products…

General Economics · Economics 2024-10-15 Yu Yuan , Xiaoke Xie , Yulei Xie

Classification tasks are usually evaluated in terms of accuracy. However, accuracy is discontinuous and cannot be directly optimized using gradient ascent. Popular methods minimize cross-entropy, hinge loss, or other surrogate losses, which…

Machine Learning · Computer Science 2024-07-25 Ivan Karpukhin , Stanislav Dereka , Sergey Kolesnikov

Today's era is characterized as the "digital transformation era". Digital processes and information systems are used in every aspect of social and business activity. The use of information technology over the internet is so extensive that…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-01 Sotiris P. Gayialis , Evripidis P. Kechagias , Angeliki Deligianni , Grigorios D. Konstantakopoulos , Georgios A. Papadopoulos

A fundamental problem in risk management is the robust aggregation of different sources of risk in a situation where little or no data are available to infer information about their dependencies. A popular approach to solving this problem…

Risk Management · Quantitative Finance 2014-10-06 Raphael Hauser , Sergey Shahverdyan , Paul Embrechts

We propose new variational principles for traffic assignment problems. So to find equillibrium we have to solve large-scale convex optimization problem of special type. We propose some kind of "algebra" on different models and corresponding…

Optimization and Control · Mathematics 2017-02-28 Alexander Gasnikov
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