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We introduce the technique of adaptive discretization to design an efficient model-based episodic reinforcement learning algorithm in large (potentially continuous) state-action spaces. Our algorithm is based on optimistic one-step value…

机器学习 · 计算机科学 2020-10-26 Sean R. Sinclair , Tianyu Wang , Gauri Jain , Siddhartha Banerjee , Christina Lee Yu

The challenge of mastering computational tasks of enormous size tends to frequently override questioning the quality of the numerical outcome in terms of accuracy. By this we do not mean the accuracy within the discrete setting, which…

数值分析 · 数学 2019-10-17 Markus Bachmayr , Wolfgang Dahmen

This paper targets control problems that exhibit specific safety and performance requirements. In particular, the aim is to ensure that an agent, operating under uncertainty, will at runtime strictly adhere to such requirements. Previous…

计算机科学中的逻辑 · 计算机科学 2020-10-09 Stefan Pranger , Bettina Könighofer , Martin Tappler , Martin Deixelberger , Nils Jansen , Roderick Bloem

The paper investigates stochastic resource allocation problems with scarce, reusable resources and non-preemtive, time-dependent, interconnected tasks. This approach is a natural generalization of several standard resource management…

机器学习 · 计算机科学 2014-01-16 Balázs Csanád Csáji , László Monostori

We consider adaptive decision-making problems where an agent optimizes a cumulative performance objective by repeatedly choosing among a finite set of options. Compared to the classical prediction-with-expert-advice set-up, we consider…

机器学习 · 计算机科学 2023-04-10 Michael Muehlebach

Soft electronics have recently gathered considerable interest thanks to their bio-mechanical compatibility. An important feature of such deformable conductors is their electrical response to strain. While development of stretchable…

软凝聚态物质 · 物理学 2025-11-14 Louis Martin-Monier , Pierre-Luc Piveteau , Fabien Sorin

Sequential learning systems are used in a wide variety of problems from decision making to optimization, where they provide a 'belief' (opinion) to nature, and then update this belief based on the feedback (result) to minimize (or maximize)…

机器学习 · 计算机科学 2020-09-22 Kaan Gokcesu , Hakan Gokcesu

To cope with the high level of ambiguity faced in domains such as Computer Vision or Natural Language processing, robust prediction methods often search for a diverse set of high-quality candidate solutions or proposals. In structured…

机器学习 · 计算机科学 2014-11-10 Adarsh Prasad , Stefanie Jegelka , Dhruv Batra

We develop a novel approach to conformal prediction when the target task has limited data available for training. Conformal prediction identifies a small set of promising output candidates in place of a single prediction, with guarantees…

机器学习 · 计算机科学 2021-07-21 Adam Fisch , Tal Schuster , Tommi Jaakkola , Regina Barzilay

This work reviews goal-oriented a posteriori error control, adaptivity and solver control for finite element approximations to boundary and initial-boundary value problems for stationary and non-stationary partial differential equations,…

This paper proposes the capped least squares regression with an adaptive resistance parameter, hence the name, adaptive capped least squares regression. The key observation is, by taking the resistant parameter to be data dependent, the…

统计方法学 · 统计学 2021-07-02 Qiang Sun , Rui Mao , Wen-Xin Zhou

Submodular function minimization is a fundamental optimization problem that arises in several applications in machine learning and computer vision. The problem is known to be solvable in polynomial time, but general purpose algorithms have…

机器学习 · 计算机科学 2015-02-10 Alina Ene , Huy L. Nguyen

Resource-constrained classification tasks are common in real-world applications such as allocating tests for disease diagnosis, hiring decisions when filling a limited number of positions, and defect detection in manufacturing settings…

机器学习 · 计算机科学 2023-11-22 Danit Shifman Abukasis , Izack Cohen , Xiaochen Xian , Kejun Huang , Gonen Singer

Maximizing a non-negative, monontone, submodular function $f$ over $n$ elements under a cardinality constraint $k$ (SMCC) is a well-studied NP-hard problem. It has important applications in, e.g., machine learning and influence…

数据结构与算法 · 计算机科学 2024-02-05 Philip Cervenjak , Junhao Gan , Anthony Wirth

We consider network-based decentralized optimization problems, where each node in the network possesses a local function and the objective is to collectively attain a consensus solution that minimizes the sum of all the local functions. A…

最优化与控制 · 数学 2023-09-07 Suhail M. Shah , Albert S. Berahas , Raghu Bollapragada

The main focus of this paper is radius-based (supplier) clustering in the two-stage stochastic setting with recourse, where the inherent stochasticity of the model comes in the form of a budget constraint. In addition to the standard…

数据结构与算法 · 计算机科学 2024-04-09 Brian Brubach , Nathaniel Grammel , David G. Harris , Aravind Srinivasan , Leonidas Tsepenekas , Anil Vullikanti

This paper focuses on finding approximate solutions to stochastic optimal control problems with control domains being not necessarily convex, where the state trajectory is subject to controlled stochastic differential equations. The…

最优化与控制 · 数学 2025-07-15 Shaolin Ji , Rundong Xu

In this paper, we design and analyze a new family of adaptive subgradient methods for solving an important class of weakly convex (possibly nonsmooth) stochastic optimization problems. Adaptive methods that use exponential moving averages…

最优化与控制 · 数学 2020-05-26 Parvin Nazari , Davoud Ataee Tarzanagh , George Michailidis

We give new approximation algorithms for the submodular joint replenishment problem and the inventory routing problem, using an iterative rounding approach. In both problems, we are given a set of $N$ items and a discrete time horizon of…

数据结构与算法 · 计算机科学 2019-12-03 Thomas Bosman , Neil Olver

Calibrating simulation models that take large quantities of multi-dimensional data as input is a hard simulation optimization problem. Existing adaptive sampling strategies offer a methodological solution. However, they may not sufficiently…

统计方法学 · 统计学 2024-07-17 Pranav Jain , Sara Shashaani , Eunshin Byon