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The value maximization version of the secretary problem is the problem of hiring a candidate with the largest value from a randomly ordered sequence of candidates. In this work, we consider a setting where predictions of candidate values…

Data Structures and Algorithms · Computer Science 2023-08-21 Kaito Fujii , Yuichi Yoshida

Vector Approximate Message Passing (VAMP) provides the means of solving a linear inverse problem in a Bayes-optimal way assuming the measurement operator is sufficiently random. However, VAMP requires implementing the linear minimum mean…

Information Theory · Computer Science 2022-06-23 Nikolajs Skuratovs , Mike E. Davies

We study a generalization of the secretary problem, where decisions do not have to be made immediately upon candidates' arrivals. After arriving, each candidate stays in the system for some (random) amount of time and then leaves, whereupon…

Computer Science and Game Theory · Computer Science 2019-09-20 Thomas Kesselheim , Alexandros Psomas , Shai Vardi

One way to interpret the classical secretary problem (CSP) is to consider it as a special case of the following problem. We observe $n$ independent indicator variables $I_1,I_2,\dotsc,I_n$ sequentially and we try to stop on the last…

Probability · Mathematics 2013-09-13 Rémi Dendievel

The Set Cover problem (SCP) and Set Packing problem (SPP) are standard NP-hard combinatorial optimization problems. Their decision problem versions are shown to be NP-Complete in Karp's 1972 paper. We specify a rough guide to constructing…

Data Structures and Algorithms · Computer Science 2013-05-16 David Kordalewski

In the last two decades the study of random instances of constraint satisfaction problems (CSPs) has flourished across several disciplines, including computer science, mathematics and physics. The diversity of the developed methods, on the…

Combinatorics · Mathematics 2025-07-02 Konstantinos Panagiotou , Matija Pasch

The Traveling Salesman Problem (TSP) is a classical NP-hard problem that plays a crucial role in combinatorial optimization. In this paper, we are interested in the quantum search framework for the TSP because it has robust theoretical…

Quantum Physics · Physics 2025-04-25 Bai Xujun , Shang Yun

We propose a novel method for selective classification (SC), a problem which allows a classifier to abstain from predicting some instances, thus trading off accuracy against coverage (the fraction of instances predicted). In contrast to…

Machine Learning · Computer Science 2021-10-26 Aditya Gangrade , Anil Kag , Venkatesh Saligrama

Constraint satisfaction problem (CSP) is a well-studied combinatorial search problem, in which we are asked to find an assignment of values to given variables so as to satisfy all of given constraints. We study a reconfiguration variant of…

Data Structures and Algorithms · Computer Science 2018-12-31 Tatsuhiko Hatanaka , Takehiro Ito , Xiao Zhou

This study is concerned with the determination of optimal appointment times for a sequence of jobs with uncertain duration. We investigate the data-driven Appointment Scheduling Problem (ASP) when one has $n$ observations of $p$ features…

Optimization and Control · Mathematics 2021-08-13 Nima Salehi Sadghiani , Saeid Motiian

The secretary problem has been a focus of extensive study with a variety of extensions that offer useful insights into the theory of optimal stopping. The original solution is to set one stopping threshold that gives rise to an immediately…

Physics and Society · Physics 2023-02-08 Roberto Brera , Feng Fu

A warm start method is developed for efficiently solving complex chance constrained optimal control problems. The warm start method addresses the computational challenges of solving chance constrained optimal control problems using biased…

Optimization and Control · Mathematics 2020-07-22 Rachel E. Kiel , Mrinal Kumar , Anil V. Rao

We present a framework for computing with input data specified by intervals, representing uncertainty in the values of the input parameters. To compute a solution, the algorithm can query the input parameters that yield more refined…

Data Structures and Algorithms · Computer Science 2015-03-19 Manoj Gupta , Yogish Sabharwal , Sandeep Sen

Catastrophic forgetting is a challenge issue in continual learning when a deep neural network forgets the knowledge acquired from the former task after learning on subsequent tasks. However, existing methods try to find the joint…

Machine Learning · Computer Science 2018-12-06 Jian Peng , Jiang Hao , Zhuo Li , Enqiang Guo , Xiaohong Wan , Deng Min , Qing Zhu , Haifeng Li

Autonomous vehicles face the problem of optimizing the expected performance of subsequent maneuvers while bounding the risk of collision with surrounding dynamic obstacles. These obstacles, such as agent vehicles, often exhibit stochastic…

Artificial Intelligence · Computer Science 2023-02-28 Rashid Alyassi , Majid Khonji

In this paper, we explore the automation of services' compositions. We focus on the service selection problem. In the formulation that we consider, the problem's inputs are constituted by a behavioral composition whose abstract services…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-02-07 Yanik Ngoko , Christophe Cérin , Alfredo Goldman , Dejan Milojicic

There has been a considerable amount of interest in recent years in the problem of workflow satisfiability, which asks whether the existence of constraints in a workflow specification makes it impossible to allocate authorized users to each…

Data Structures and Algorithms · Computer Science 2019-04-17 Jason Crampton , Gregory Gutin , Diptapriyo Majumdar

Constraint programming (CP) is a powerful technique for solving constraint satisfaction and optimization problems. In CP solvers, the variable ordering strategy used to select which variable to explore first in the solving process has a…

Artificial Intelligence · Computer Science 2023-04-13 Yuan Sun , Su Nguyen , Dhananjay Thiruvady , Xiaodong Li , Andreas T. Ernst , Uwe Aickelin

We consider the problem of online reinforcement learning for the Stochastic Shortest Path (SSP) problem modeled as an unknown MDP with an absorbing state. We propose PSRL-SSP, a simple posterior sampling-based reinforcement learning…

Machine Learning · Computer Science 2021-06-11 Mehdi Jafarnia-Jahromi , Liyu Chen , Rahul Jain , Haipeng Luo

Continuous search problems (CSPs), which involve finding solutions within a continuous domain, frequently arise in fields such as optimization, physics, and engineering. Unlike discrete search problems, CSPs require navigating an…

Quantum Physics · Physics 2025-02-25 Shan Jin , Yuhan Huang , Shaojun Wu , Guanyu Zhou , Chang-Ling Zou , Luyan Sun , Xiaoting Wang