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Bayesian Optimization is an effective method for searching the global maxima of an objective function especially if the function is unknown. The process comprises of using a surrogate function and choosing an acquisition function followed…

Machine Learning · Computer Science 2021-11-10 Ashish Anil Pawar , Ujwal Warbhe

MAP is the problem of finding a most probable instantiation of a set of variables in a Bayesian network given some evidence. Unlike computing posterior probabilities, or MPE (a special case of MAP), the time and space complexity of…

Artificial Intelligence · Computer Science 2012-12-12 James D. Park , Adnan Darwiche

The notion of expense in Bayesian optimisation generally refers to the uniformly expensive cost of function evaluations over the whole search space. However, in some scenarios, the cost of evaluation for black-box objective functions is…

Machine Learning · Computer Science 2019-09-10 Majid Abdolshah , Alistair Shilton , Santu Rana , Sunil Gupta , Svetha Venkatesh

Sampling-based algorithms solve the path planning problem by generating random samples in the search-space and incrementally growing a connectivity graph or a tree. Conventionally, the sampling strategy used in these algorithms is biased…

Robotics · Computer Science 2021-02-26 Sagar Suhas Joshi , Seth Hutchinson , Panagiotis Tsiotras

In robotics, methods and softwares usually require optimizations of hyperparameters in order to be efficient for specific tasks, for instance industrial bin-picking from homogeneous heaps of different objects. We present a developmental…

Robotics · Computer Science 2020-07-31 Maxime Petit , Emmanuel Dellandrea , Liming Chen

We present a novel approach to path planning for robotic manipulators, in which paths are produced via iterative optimisation in the latent space of a generative model of robot poses. Constraints are incorporated through the use of…

We consider infinite-dimensional Bayesian linear inverse problems governed by time-dependent partial differential equations (PDEs) and develop a mathematical and computational framework for optimal design of mobile sensor paths in this…

Optimization and Control · Mathematics 2026-01-22 J. Nicholas Neuberger , Alen Alexanderian , Bart van Bloemen Waanders , Ahmed Attia

We study the problem of causal structure learning over a set of random variables when the experimenter is allowed to perform at most $M$ experiments in a non-adaptive manner. We consider the optimal learning strategy in terms of minimizing…

Machine Learning · Computer Science 2017-03-01 AmirEmad Ghassami , Saber Salehkaleybar , Negar Kiyavash

We propose a practical Bayesian optimization method using Gaussian process regression, of which the marginal likelihood is maximized where the number of model selection steps is guided by a pre-defined threshold. Since Bayesian optimization…

Machine Learning · Statistics 2020-10-19 Jungtaek Kim , Seungjin Choi

Algorithms for motion planning in unknown environments are generally limited in their ability to reason about the structure of the unobserved environment. As such, current methods generally navigate unknown environments by relying on…

Robotics · Computer Science 2019-10-21 Amine Elhafsi , Boris Ivanovic , Lucas Janson , Marco Pavone

This paper introduces a graph-based, potential-guided method for path planning problems in unknown environments, where obstacles are unknown until the robots are in close proximity to the obstacle locations. Inspired by optimal transport…

Optimization and Control · Mathematics 2019-09-26 Haoyan Zhai , Magnus Egerstedt , Haomin Zhou

We consider Bayesian optimization of expensive-to-evaluate experiments that generate vector-valued outcomes over which a decision-maker (DM) has preferences. These preferences are encoded by a utility function that is not known in closed…

Machine Learning · Computer Science 2022-03-23 Zhiyuan Jerry Lin , Raul Astudillo , Peter I. Frazier , Eytan Bakshy

Robotic surgical subtask automation has the potential to reduce the per-patient workload of human surgeons. There are a variety of surgical subtasks that require geometric information of subsurface anatomy, such as the location of tumors,…

Robotics · Computer Science 2023-09-20 Brian Y. Cho , Alan Kuntz

An efficient method for finding a better maximizer of computationally extensive probability distributions is proposed on the basis of a Bayesian optimization technique. A key idea of the proposed method is to use extreme values of…

Data Analysis, Statistics and Probability · Physics 2018-03-14 Ryo Tamura , Koji Hukushima

In online reinforcement learning (RL), efficient exploration remains particularly challenging in high-dimensional environments with sparse rewards. In low-dimensional environments, where tabular parameterization is possible, count-based…

Machine Learning · Computer Science 2021-06-21 Tianjun Zhang , Paria Rashidinejad , Jiantao Jiao , Yuandong Tian , Joseph Gonzalez , Stuart Russell

Bayesian optimization (BO) is a typical approach to solve expensive optimization problems. In each iteration of BO, a Gaussian process(GP) model is trained using the previously evaluated solutions; then next candidate solutions for…

Neural and Evolutionary Computing · Computer Science 2022-06-23 Jixiang Chen , Fu Luo , Zhenkun Wang

This paper tackles the multi-objective optimization of the cost functional of a path-following model predictive control for vehicle longitudinal and lateral control. While the inherent optimal character of the model predictive control and…

Robotics · Computer Science 2021-04-09 Ali Gharib , David Stenger , Robert Ritschel , Rick Voßwinkel

It is a challenging task for ground robots to autonomously navigate in harsh environments due to the presence of non-trivial obstacles and uneven terrain. This requires trajectory planning that balances safety and efficiency. The primary…

Robotics · Computer Science 2025-08-12 Wei Zhang , Yinchuan Wang , Wangtao Lu , Pengyu Zhang , Xiang Zhang , Yue Wang , Chaoqun Wang

Exploration is a critical challenge in robotics, centered on understanding unknown environments. In this work, we focus on robots exploring structured indoor environments which are often predictable and composed of repeating patterns. Most…

We consider Bayesian optimization of the output of a network of functions, where each function takes as input the output of its parent nodes, and where the network takes significant time to evaluate. Such problems arise, for example, in…

Machine Learning · Computer Science 2022-01-03 Raul Astudillo , Peter I. Frazier
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