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This paper develops a framework for the design of scoring rules to optimally incentivize an agent to exert a multi-dimensional effort. This framework is a generalization to strategic agents of the classical knapsack problem (cf. Briest,…

计算机科学与博弈论 · 计算机科学 2023-07-03 Jason D. Hartline , Liren Shan , Yingkai Li , Yifan Wu

Recently, studying fundamental graph problems in the \emph{Massively Parallel Computation (MPC) framework, inspired by the MapReduce paradigm, has gained a lot of attention. An assumption common to a vast majority of approaches is to allow…

数据结构与算法 · 计算机科学 2019-05-28 Sebastian Brandt , Manuela Fischer , Jara Uitto

Multipartite entity resolution aims at integrating records from multiple datasets into one entity. We derive a mathematical formulation for a general class of record linkage problems in multipartite entity resolution across many datasets as…

离散数学 · 计算机科学 2021-12-08 Alla Kammerdiner , Alexander Semenov , Eduardo Pasiliao

Solving stochastic games with the reachability objective is a fundamental problem, especially in quantitative verification and synthesis. For this purpose, bounded value iteration (BVI) attracts attention as an efficient iterative method.…

计算机科学中的逻辑 · 计算机科学 2020-09-21 Kittiphon Phalakarn , Toru Takisaka , Thomas Haas , Ichiro Hasuo

Meirowitz [17] showed existence of continuous behavioural function equilibria for Bayesian games with non-finite type and action spaces. A key condition for the proof of the existence result is equi-continuity of behavioural functions…

最优化与控制 · 数学 2017-10-16 Shaoyan Guo , Huifu Xu , Liwei Zhang

We present a unified framework for proving memory lower bounds for multi-pass streaming algorithms that detect planted structures. Planted structures -- such as cliques or bicliques in graphs, and sparse signals in high-dimensional data --…

计算复杂性 · 计算机科学 2026-03-03 Sumegha Garg , Jabari Hastings , Chirag Pabbaraju , Vatsal Sharan

A bipartite perfect quantum strategy (BPQS) allows two players who cannot communicate with each other to always win a nonlocal game. BPQSs are rare but fundamental in light of some recent results in quantum information, computation, and…

量子物理 · 物理学 2025-01-06 Adán Cabello

A demanding challenge in Bayesian inversion is to efficiently characterize the posterior distribution. This task is problematic especially in high-dimensional non-Gaussian problems, where the structure of the posterior can be very chaotic…

统计理论 · 数学 2015-06-04 Tapio Helin , Martin Burger

Two-player quantitative zero-sum games provide a natural framework to synthesize controllers with performance guarantees for reactive systems within an uncontrollable environment. Classical settings include mean-payoff games, where the…

计算机科学中的逻辑 · 计算机科学 2015-09-25 Patricia Bouyer , Nicolas Markey , Mickael Randour , Kim G. Larsen , Simon Laursen

In this paper, we address learning problems for high dimensional data. Previously, oblivious random projection based approaches that project high dimensional features onto a random subspace have been used in practice for tackling…

机器学习 · 计算机科学 2016-12-07 Yi Xu , Haiqin Yang , Lijun Zhang , Tianbao Yang

The paper addresses the problem of computing maximal conditional expected accumulated rewards until reaching a target state (briefly called maximal conditional expectations) in finite-state Markov decision processes where the condition is…

计算机科学中的逻辑 · 计算机科学 2023-03-07 Christel Baier , Joachim Klein , Sascha Klüppelholz , Sascha Wunderlich

It is well-known that for infinitely repeated games, there are computable strategies that have best responses, but no computable best responses. These results were originally proved for either specific games (e.g., Prisoner's dilemma), or…

计算机科学与博弈论 · 计算机科学 2020-06-11 Jakub Dargaj , Jakob Grue Simonsen

Game theory serves as a powerful tool for distributed optimization in multi-agent systems in different applications. In this paper we consider multi-agent systems that can be modeled by means of potential games whose potential function…

最优化与控制 · 数学 2018-04-13 Tatiana Tatarenko

Chance constraints are frequently used to limit the probability of constraint violations in real-world optimization problems where the constraints involve stochastic components. We study chance-constrained submodular optimization problems,…

最优化与控制 · 数学 2023-09-27 Xiankun Yan , Anh Viet Do , Feng Shi , Xiaoyu Qin , Frank Neumann

In this paper, we consider the problem of optimization and learning for constrained and multi-objective Markov decision processes, for both discounted rewards and expected average rewards. We formulate the problems as zero-sum games where…

最优化与控制 · 数学 2021-03-05 Ather Gattami , Qinbo Bai , Vaneet Agarwal

Learning heuristics for combinatorial optimization problems through graph neural networks have recently shown promising results on some classic NP-hard problems. These are single-level optimization problems with only one player. Multilevel…

机器学习 · 计算机科学 2023-04-22 Adel Nabli , Margarida Carvalho

In a multi-armed bandit problem, an online algorithm chooses from a set of strategies in a sequence of trials so as to maximize the total payoff of the chosen strategies. While the performance of bandit algorithms with a small finite…

数据结构与算法 · 计算机科学 2019-04-16 Robert Kleinberg , Aleksandrs Slivkins , Eli Upfal

In this report we review memory-based meta-learning as a tool for building sample-efficient strategies that learn from past experience to adapt to any task within a target class. Our goal is to equip the reader with the conceptual…

We consider the classical problem of representing a collection of priority queues under the operations \Findmin{}, \Insert{}, \Decrease{}, \Meld{}, \Delete{}, and \Deletemin{}. In the comparison-based model, if the first four operations are…

数据结构与算法 · 计算机科学 2011-12-06 Amr Elmasry , Jyrki Katajainen

Many of the successes of machine learning are based on minimizing an averaged loss function. However, it is well-known that this paradigm suffers from robustness issues that hinder its applicability in safety-critical domains. These issues…

机器学习 · 计算机科学 2022-06-09 Alexander Robey , Luiz F. O. Chamon , George J. Pappas , Hamed Hassani