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We develop a tractable and flexible approach for incorporating side information into dynamic optimization under uncertainty. The proposed framework uses predictive machine learning methods (such as $k$-nearest neighbors, kernel regression,…

最优化与控制 · 数学 2020-07-23 Dimitris Bertsimas , Christopher McCord , Bradley Sturt

Iterative trajectory optimization techniques for non-linear dynamical systems are among the most powerful and sample-efficient methods of model-based reinforcement learning and approximate optimal control. By leveraging time-variant local…

系统与控制 · 电气工程与系统科学 2019-08-01 Onur Celik , Hany Abdulsamad , Jan Peters

The digital transformation of automation places new demands on data acquisition and processing in industrial processes. Logical relationships between acquired data and cyclic process sequences must be correctly interpreted and evaluated. To…

神经与进化计算 · 计算机科学 2023-04-13 Marlon Löppenberg , Andreas Schwung

Dynamic regression trees are an attractive option for automatic regression and classification with complicated response surfaces in on-line application settings. We create a sequential tree model whose state changes in time with the…

统计方法学 · 统计学 2010-11-23 Matthew A. Taddy , Robert B. Gramacy , Nicholas G. Polson

Interpretability is crucial for doctors, hospitals, pharmaceutical companies and biotechnology corporations to analyze and make decisions for high stakes problems that involve human health. Tree-based methods have been widely adopted for…

机器学习 · 计算机科学 2024-05-24 Rui Zhang , Rui Xin , Margo Seltzer , Cynthia Rudin

In this paper we present an evolutionary optimization approach to solve the risk parity portfolio selection problem. While there exist convex optimization approaches to solve this problem when long-only portfolios are considered, the…

投资组合管理 · 定量金融 2015-04-14 Ronald Hochreiter

Several structural learning algorithms for staged tree models, an asymmetric extension of Bayesian networks, have been defined. However, they do not scale efficiently as the number of variables considered increases. Here we introduce the…

机器学习 · 统计学 2022-06-15 Manuele Leonelli , Gherardo Varando

Stochastic algorithms are among the best for solving computationally hard search and reasoning problems. The runtime of such procedures is characterized by a random variable. Different algorithms give rise to different probability…

人工智能 · 计算机科学 2013-02-08 Carla P. Gomes , Bart Selman

Two-stage stochastic programs (2SPs) are important tools for making decisions under uncertainty. Decision-makers use contextual information to generate a set of scenarios to represent the true conditional distribution. However, the number…

最优化与控制 · 数学 2025-02-11 David Islip , Roy H. Kwon , Sanghyeon Bae , Woo Chang Kim

Optimization under uncertainty deals with the problem of optimizing stochastic cost functions given some partial information on their inputs. These problems are extremely difficult to solve and yet pervade all areas of technological and…

Sequential model-based optimization sequentially selects a candidate point by constructing a surrogate model with the history of evaluations, to solve a black-box optimization problem. Gaussian process (GP) regression is a popular choice as…

机器学习 · 统计学 2022-02-23 Jungtaek Kim , Seungjin Choi

Robust optimization typically follows a worst-case perspective, where a single scenario may determine the objective value of a given solution. Accordingly, it is a challenging task to reduce the size of an uncertainty set without changing…

最优化与控制 · 数学 2022-09-02 Marc Goerigk , Mohammad Khosravi

In this paper, we propose a distributed multi-stage optimization method for planning complex missions for heterogeneous multi-robot teams. This class of problems involves tasks that can be executed in different ways and are associated with…

机器人学 · 计算机科学 2021-09-22 Barbara Arbanas Ferreira , Tamara Petrović , Stjepan Bogdan

We consider the problem of minimizing a convex function that is evolving according to unknown and possibly stochastic dynamics, which may depend jointly on time and on the decision variable itself. Such problems abound in the machine…

最优化与控制 · 数学 2023-05-30 Joshua Cutler , Dmitriy Drusvyatskiy , Zaid Harchaoui

A key aspect of temporal domains is the ability to make predictions multiple time steps into the future, a process known as multi-step forecasting (MSF). At the core of this process is selecting a forecasting strategy, however, with no…

机器学习 · 计算机科学 2024-12-31 Riku Green , Grant Stevens , Zahraa Abdallah , Telmo M. Silva Filho

Comparative and evolutive ecologists are interested in the distribution of quantitative traits among related species. The classical framework for these distributions consists of a random process running along the branches of a phylogenetic…

应用统计 · 统计学 2017-08-24 Paul Bastide , Mahendra Mariadassou , Stéphane Robin

This paper investigates methods for estimating the optimal stochastic control policy for a Markov Decision Process with unknown transition dynamics and an unknown reward function. This form of model-free reinforcement learning comprises…

机器学习 · 计算机科学 2019-12-06 Brandon Trabucco , Albert Qu , Simon Li , Ganeshkumar Ashokavardhanan

Simulating realistic financial time series is essential for stress testing, scenario generation, and decision-making under uncertainty. Despite advances in deep generative models, there is no consensus metric for their evaluation. We focus…

机器学习 · 计算机科学 2025-09-09 Ruben Bontorno , Songyan Hou

This article presents two novel algorithms for generating random increasing trees. The first algorithm efficiently generates strictly increasing binary trees using an ad hoc method. The second algorithm improves the recursive method for…

数据结构与算法 · 计算机科学 2024-06-25 Olivier Bodini , Francis Durand , Philippe Marchal

Conventionally, random forests are built from "greedy" decision trees which each consider only one split at a time during their construction. The sub-optimality of greedy implementation has been well-known, yet mainstream adoption of more…

机器学习 · 计算机科学 2021-04-01 Delilah Donick , Sandro Claudio Lera