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The Gaussian process latent variable model (GP-LVM) provides a flexible approach for non-linear dimensionality reduction that has been widely applied. However, the current approach for training GP-LVMs is based on maximum likelihood, where…

Machine Learning · Statistics 2014-09-09 Andreas C. Damianou , Michalis K. Titsias , Neil D. Lawrence

Learning and inference movement is a very challenging problem due to its high dimensionality and dependency to varied environments or tasks. In this paper, we propose an effective probabilistic method for learning and inference of basic…

Machine Learning · Computer Science 2018-10-30 Mingxuan Jing , Xiaojian Ma , Fuchun Sun , Huaping Liu

For autonomous mobile robots, uncertainties in the environment and system model can lead to failure in the motion planning pipeline, resulting in potential collisions. In order to achieve a high level of robust autonomy, these robots should…

Robotics · Computer Science 2024-02-05 Nicholas Mohammad , Jacob Higgins , Nicola Bezzo

We cast motion planning under uncertainty as a stochastic optimal control problem, where the optimal posterior distribution has an explicit form. To approximate this posterior, this work frames an optimization problem in the space of…

Robotics · Computer Science 2026-01-06 Zinuo Chang , Hongzhe Yu , Patricio Vela , Yongxin Chen

The Gaussian Process Latent Variable Model (GP-LVM) is a non-linear probabilistic method of embedding a high dimensional dataset in terms low dimensional `latent' variables. In this paper we illustrate that maximum a posteriori (MAP)…

Machine Learning · Statistics 2013-07-02 James Barrett , Anthony C. C. Coolen

To control how a robot moves, motion planning algorithms must compute paths in high-dimensional state spaces while accounting for physical constraints related to motors and joints, generating smooth and stable motions, avoiding obstacles,…

Assistive robotics and particularly robot coaches may be very helpful for rehabilitation healthcare. In this context, we propose a method based on Gaussian Process Latent Variable Model (GP-LVM) to transfer knowledge between a…

Robotics · Computer Science 2021-11-04 Maxime Devanne , Sao Mai Nguyen

We present a novel formulation for motion planning under uncertainties based on variational inference where the optimal motion plan is modeled as a posterior distribution. We propose a Gaussian variational inference-based framework, termed…

Robotics · Computer Science 2025-06-25 Hongzhe Yu , Yongxin Chen

This paper presents Latent Sampling-based Motion Planning (L-SBMP), a methodology towards computing motion plans for complex robotic systems by learning a plannable latent representation. Recent works in control of robotic systems have…

Robotics · Computer Science 2018-11-07 Brian Ichter , Marco Pavone

Accurate human motion prediction with well-calibrated uncertainty is critical for safe human-robot collaboration (HRC), where robots must anticipate and react to human movements in real time. We propose a structured multitask variational…

Robotics · Computer Science 2026-03-10 Jinger Chong , Xiaotong Zhang , Kamal Youcef-Toumi

We introduce a novel formulation of motion planning, for continuous-time trajectories, as probabilistic inference. We first show how smooth continuous-time trajectories can be represented by a small number of states using sparse Gaussian…

Robotics · Computer Science 2018-11-26 Mustafa Mukadam , Jing Dong , Xinyan Yan , Frank Dellaert , Byron Boots

Constrained motion planning is a common but challenging problem in robotic manipulation. In recent years, data-driven constrained motion planning algorithms have shown impressive planning speed and success rate. Among them, the latent…

Robotics · Computer Science 2026-01-01 Jiawei Zhang , Chengchao Bai , Wei Pan , Tianhang Liu , Jifeng Guo

We propose a Gaussian variational inference framework for the motion planning problem. In this framework, motion planning is formulated as an optimization over the distribution of the trajectories to approximate the desired trajectory…

Robotics · Computer Science 2023-03-27 Hongzhe Yu , Yongxin Chen

In this paper, we extend a famous motion planning approach GPMP2 to multi-robot cases, yielding a novel centralized trajectory generation method for the multi-robot formation. A sparse Gaussian Process model is employed to represent the…

Robotics · Computer Science 2021-08-02 Shuang Guo , Bo Liu , Shen Zhang , Jifeng Guo , Changhong Wang

In this paper, we consider the motion planning problem in Gaussian belief space for minimum sensing navigation. Despite the extensive use of sampling-based algorithms and their rigorous analysis in the deterministic setting, there has been…

Robotics · Computer Science 2023-06-02 Vrushabh Zinage , Ali Reza Pedram , Takashi Tanaka

The Gaussian process latent variable model (GP-LVM) is a popular approach to non-linear probabilistic dimensionality reduction. One design choice for the model is the number of latent variables. We present a spike and slab prior for the…

Machine Learning · Statistics 2015-05-12 Zhenwen Dai , James Hensman , Neil Lawrence

Most existing motion planning algorithms assume that a map (of some quality) is fully determined prior to generating a motion plan. In many emerging applications of robotics, e.g., fast-moving agile aerial robots with constrained embedded…

Robotics · Computer Science 2018-08-03 Thomas Sayre-McCord , Sertac Karaman

Latent force models are a class of hybrid models for dynamic systems, combining simple mechanistic models with flexible Gaussian process (GP) perturbations. An extension of this framework to include multiplicative interactions between the…

Machine Learning · Statistics 2019-01-01 Daniel J. Tait , Bruce J. Worton

The performance of optimization-based robot motion planning algorithms is highly dependent on the initial solutions, commonly obtained by running a sampling-based planner to obtain a collision-free path. However, these methods can be slow…

Robotics · Computer Science 2025-08-15 J. Carvalho , A. Le , P. Kicki , D. Koert , J. Peters

Motion planning is a key tool that allows robots to navigate through an environment without collisions. The problem of robot motion planning has been studied in great detail over the last several decades, with researchers initially focusing…

Robotics · Computer Science 2018-07-20 Luka Petrović
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