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Tensor train (TT) decomposition is a powerful representation for high-order tensors, which has been successfully applied to various machine learning tasks in recent years. However, since the tensor product is not commutative, permutation of…

Numerical Analysis · Computer Science 2017-05-31 Qibin Zhao , Masashi Sugiyama , Andrzej Cichocki

Robotic manipulation can be formulated as inducing a sequence of spatial displacements: where the space being moved can encompass an object, part of an object, or end effector. In this work, we propose the Transporter Network, a simple…

The rigorous solution to the grating diffraction problem is a cornerstone step in many scientific fields and industrial applications ranging from the study of the fundamental properties of metasurfaces to the simulation of photolithography…

Computational Physics · Physics 2025-02-05 Evgeniy Levdik , Alexey A. Shcherbakov

Robots and animals both experience the world through their bodies and senses. Their embodiment constrains their experiences, ensuring they unfold continuously in space and time. As a result, the experiences of embodied agents are…

Machine Learning · Computer Science 2024-05-28 Thomas A. Berrueta , Allison Pinosky , Todd D. Murphey

Learning is the basis of both biological and artificial systems when it comes to mimicking intelligent behaviors. From the classical PPO (Proximal Policy Optimization), there is a series of deep reinforcement learning algorithms which are…

Robotics · Computer Science 2025-12-16 Wanru Gong , Xinyi Zheng , Yuan Hui , Zhongjun Li , Weiqiang Wang , Xiaoqing Zhu

This work proposes the extended functional tensor train (EFTT) format for compressing and working with multivariate functions on tensor product domains. Our compression algorithm combines tensorized Chebyshev interpolation with a low-rank…

Numerical Analysis · Mathematics 2024-05-30 Christoph Strössner , Bonan Sun , Daniel Kressner

Dynamic maneuvers for legged robots present a difficult challenge due to the complex dynamics and contact constraints. This paper introduces a versatile trajectory optimization framework for continuous-time multi-phase problems. We…

Robotics · Computer Science 2024-09-20 Ethan Chandler , Akshay Jaitly , Mahdi Agheli

Recent trends in humanoid robot control have successfully employed imitation learning to enable the learned generation of smooth, human-like trajectories from human data. While these approaches make more realistic motions possible, they are…

Traversing risky terrains with sparse footholds presents significant challenges for legged robots, requiring precise foot placement in safe areas. To acquire comprehensive exteroceptive information, prior studies have employed motion…

Robotics · Computer Science 2025-03-04 Ruiqi Yu , Qianshi Wang , Yizhen Wang , Zhicheng Wang , Jun Wu , Qiuguo Zhu

Unsupervised learning aims at the discovery of hidden structure that drives the observations in the real world. It is essential for success in modern machine learning. Latent variable models are versatile in unsupervised learning and have…

Machine Learning · Computer Science 2016-06-13 Furong Huang

Tensor train decomposition is a powerful tool for dealing with high-dimensional, large-scale tensor data, which is not suffering from the curse of dimensionality. To accelerate the calculation of the auxiliary unfolding matrix, some…

Numerical Analysis · Mathematics 2023-08-08 Gaohang Yu , Jinhong Feng , Zhongming Chen , Xiaohao Cai , Liqun Qi

Tensor ring (TR) decomposition is an efficient approach to discover the hidden low-rank patterns for higher-order tensors, and streaming tensors are becoming highly prevalent in real-world applications. In this paper, we investigate how to…

Numerical Analysis · Mathematics 2023-07-04 Yajie Yu , Hanyu Li

In this work, we perform Bayesian inference tasks for the chemical master equation in the tensor-train format. The tensor-train approximation has been proven to be very efficient in representing high dimensional data arising from the…

Embodied navigation (EN) advances traditional navigation by enabling robots to perform complex egocentric tasks through sensing, social, and motion intelligence. In contrast to classic methodologies that rely on explicit localization and…

Robotics · Computer Science 2025-08-22 Chaoran Xiong , Yulong Huang , Fangwen Yu , Changhao Chen , Yue Wang , Songpengchen Xia , Ling Pei

Task space trajectory tracking for quadruped robots plays a crucial role on achieving dexterous maneuvers in unstructured environments. To fulfill the control objective, the robot should apply forces through the contact of the legs with the…

The complex nonlinear dynamics of hydraulic excavators, such as time delays and control coupling, pose significant challenges to achieving high-precision trajectory tracking. Traditional control methods often fall short in such applications…

Robotics · Computer Science 2026-04-29 Ziqing Zou , Cong Wang , Yue Hu , Xiao Liu , Bowen Xu , Rong Xiong , Changjie Fan , Yingfeng Chen , Yue Wang

Planning a motion for inserting pegs remains an open problem. The difficulty lies in both the inevitable errors in the grasps of a robotic hand and absolute precision problems in robot joint motors. This paper proposes an integral method to…

Robotics · Computer Science 2021-08-10 Hao Chen , Juncheng Li , Weiwei Wan , Zhifeng Huang , Kensuke Harada

We present a Learning from Demonstration method for teaching robots to perform search strategies imitated from humans in scenarios where alignment tasks fail due to position uncertainty. The method utilizes human demonstrations to learn…

Robotics · Computer Science 2019-03-26 Dennis Ehlers , Markku Suomalainen , Jens Lundell , Ville Kyrki

Legged robots are able to navigate complex terrains by continuously interacting with the environment through careful selection of contact sequences and timings. However, the combinatorial nature behind contact planning hinders the…

The second in a two-part series, this paper extends the 3rd-order Spectral Representation Method for simulation of ergodic multi-variate stochastic processes according to a prescribed cross power spectral density and cross bispectral…

Statistics Theory · Mathematics 2019-11-26 Lohit Vandanapu , Michael D. Shields