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A common problem in machine learning is to rank a set of n items based on pairwise comparisons. Here ranking refers to partitioning the items into sets of pre-specified sizes according to their scores, which includes identification of the…

机器学习 · 计算机科学 2018-01-08 Reinhard Heckel , Max Simchowitz , Kannan Ramchandran , Martin J. Wainwright

We investigate the practical aspects of computing the necessary and possible winners in elections over incomplete voter preferences. In the case of the necessary winners, we show how to implement and accelerate the polynomial-time algorithm…

计算机科学与博弈论 · 计算机科学 2020-05-15 Vishal Chakraborty , Theo Delemazure , Benny Kimelfeld , Phokion G. Kolaitis , Kunal Relia , Julia Stoyanovich

The question of knowing whether the policy Iteration algorithm (PI) for solving Markov Decision Processes (MDPs) has exponential or (strongly) polynomial complexity has attracted much attention in the last 50 years. Recently, Fearnley…

计算机科学与博弈论 · 计算机科学 2011-08-19 Romain Hollanders , Jean-Charles Delvenne , Raphaël Jungers

We present a new algorithm that significantly improves the efficiency of exploration for deep Q-learning agents in dialogue systems. Our agents explore via Thompson sampling, drawing Monte Carlo samples from a Bayes-by-Backprop neural…

机器学习 · 计算机科学 2017-11-29 Zachary C. Lipton , Xiujun Li , Jianfeng Gao , Lihong Li , Faisal Ahmed , Li Deng

We describe algorithms for computing eigenpairs (eigenvalue--eigenvector) of a complex $n\times n$ matrix $A$. These algorithms are numerically stable, strongly accurate, and theoretically efficient (i.e., polynomial-time). We do not…

数值分析 · 数学 2014-10-02 Peter Bürgisser , Felipe Cucker

A large body of work in machine learning has focused on the problem of learning a close approximation to an underlying combinatorial function, given a small set of labeled examples. However, for real-valued functions, cardinal labels might…

机器学习 · 计算机科学 2016-05-31 Maria-Florina Balcan , Ellen Vitercik , Colin White

Learning algorithms are often used to make decisions in sequential decision-making environments. In multi-agent settings, the decisions of each agent can affect the utilities/losses of the other agents. Therefore, if an agent is good at…

计算机科学与博弈论 · 计算机科学 2024-07-09 Angelos Assos , Yuval Dagan , Constantinos Daskalakis

We consider the problem of scheduling in constrained queueing networks with a view to minimizing packet delay. Modern communication systems are becoming increasingly complex, and are required to handle multiple types of traffic with widely…

机器学习 · 计算机科学 2021-05-04 Mohammani Zaki , Avi Mohan , Aditya Gopalan , Shie Mannor

The problem of selecting an algorithm that appears most suitable for a specific instance of an algorithmic problem class, such as the Boolean satisfiability problem, is called instance-specific algorithm selection. Over the past decade, the…

机器学习 · 计算机科学 2021-07-21 Alexander Tornede , Lukas Gehring , Tanja Tornede , Marcel Wever , Eyke Hüllermeier

According to cognitive psychology and related disciplines, the development of complex problem-solving behaviour in biological agents depends on hierarchical cognitive mechanisms. Hierarchical reinforcement learning is a promising…

Reinforcement learning agents have been mostly developed and evaluated under the assumption that they will operate in a fully autonomous manner -- they will take all actions. In this work, our goal is to develop algorithms that, by learning…

机器学习 · 计算机科学 2023-07-04 Vahid Balazadeh , Abir De , Adish Singla , Manuel Gomez-Rodriguez

We present a new algorithm that significantly improves the efficiency of exploration for deep Q-learning agents in dialogue systems. Our agents explore via Thompson sampling, drawing Monte Carlo samples from a Bayes-by-Backprop neural…

人工智能 · 计算机科学 2017-11-21 Zachary Lipton , Xiujun Li , Jianfeng Gao , Lihong Li , Faisal Ahmed , Li Deng

We implement the reinforcement learning agent for a spin-1 atomic system to prepare spin squeezed state from given initial state. Proximal policy gradient (PPO) algorithm is used to deal with continuous external control field and final…

量子物理 · 物理学 2019-02-21 Jun-Jie Chen , Ming Xue

We consider the disjoint bilinear programming problem in which one of the disjoint subsets has the structure of an acute-angled polytope. An optimality criterion for such a problem is formulated and proved, and based on this, a polynomial…

最优化与控制 · 数学 2025-02-13 Dmitrii Lozovanu

Algorithm selection and hyperparameter tuning are critical steps in both academic and applied machine learning. On the other hand, these steps are becoming ever increasingly delicate due to the extensive rise in the number, diversity, and…

机器学习 · 计算机科学 2023-09-15 Ahmad Esmaeili , Julia T. Rayz , Eric T. Matson

Randomization is a powerful tool that endows algorithms with remarkable properties. For instance, randomized algorithms excel in adversarial settings, often surpassing the worst-case performance of deterministic algorithms with large…

机器学习 · 计算机科学 2024-08-21 Johannes von Oswald , Seijin Kobayashi , Yassir Akram , Angelika Steger

Transfer learning significantly accelerates the reinforcement learning process by exploiting relevant knowledge from previous experiences. The problem of optimally selecting source policies during the learning process is of great importance…

人工智能 · 计算机科学 2017-09-26 Siyuan Li , Chongjie Zhang

Combinatorial optimization - a field of research addressing problems that feature strongly in a wealth of scientific and industrial contexts - has been identified as one of the core potential fields of applicability of quantum computers. It…

量子物理 · 物理学 2024-03-19 Niklas Pirnay , Vincent Ulitzsch , Frederik Wilde , Jens Eisert , Jean-Pierre Seifert

We exhibit a probabilistic algorithm which solves a polynomial system over the rationals defined by a reduced regular sequence. Its bit complexity is roughly quadratic in the B\'ezout number of the system and linear in its bit size. Our…

代数几何 · 数学 2016-12-23 Nardo Gimenez , Guillermo Matera

The authors recently gave an $n^{O(\log\log n)}$ time membership query algorithm for properly learning decision trees under the uniform distribution (Blanc et al., 2021). The previous fastest algorithm for this problem ran in $n^{O(\log…

数据结构与算法 · 计算机科学 2022-06-30 Guy Blanc , Jane Lange , Mingda Qiao , Li-Yang Tan