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Optimization, a key tool in machine learning and statistics, relies on regularization to reduce overfitting. Traditional regularization methods control a norm of the solution to ensure its smoothness. Recently, topological methods have…

Machine Learning · Computer Science 2020-11-11 Arnur Nigmetov , Aditi S. Krishnapriyan , Nicole Sanderson , Dmitriy Morozov

Finding an optimal parameter of a black-box function is important for searching stable material structures and finding optimal neural network structures, and Bayesian optimization algorithms are widely used for the purpose. However, most of…

Machine Learning · Computer Science 2019-02-27 Tatsuya Shiraishi , Tam Le , Hisashi Kashima , Makoto Yamada

Motion path planning is an intrinsically geometric problem which is central for design of robot systems. Since the early years of AI, robotics together with computer vision have been the areas of computer science that drove its development.…

Algebraic Topology · Mathematics 2024-03-20 Boris Goldfarb

This paper presents an algorithm for reliability-based topology optimization of linear elastic continua under random-field material model. The modelling random field is discretized into a small number of random variables, and then the…

Optimization and Control · Mathematics 2022-01-03 Trung Pham , Christopher Hoyle

Topology Optimization (TO), which maximizes structural robustness under material weight constraints, is becoming an essential step for the automatic design of mechanical parts. However, existing TO algorithms use the Finite Element Analysis…

Robotics · Computer Science 2022-04-14 Zherong Pan , Xifeng Gao , Kui Wu

This paper presents a method for constrained motion planning from vision, which enables a robot to move its end-effector over an observed surface, given start and destination points. The robot has no prior knowledge of the surface shape,…

Robotics · Computer Science 2020-06-23 T. Pardi , V. Ortenzi , C. Fairbairn , T. Pipe , A. M. Ghalamzan E. , R. Stolkin

This work concerns a structural topology optimisation problem for 4D printing based on the phase field approach. The concept of 4D printing as a targeted evolution of 3D printed structures can be realised in a two-step process. One first…

Optimization and Control · Mathematics 2023-05-03 Harald Garcke , Kei Fong Lam , Robert Nürnberg , Andrea Signori

We consider the problem of cooperative intersection management. It arises in automated transportation systems for people or goods but also in multi-robots environment. Therefore many solutions have been proposed to avoid collisions. The…

Systems and Control · Computer Science 2013-10-30 Jean Gregoire , Silvère Bonnabel , Arnaud de La Fortelle

We implement a shape optimization algorithm for body-assisted light-matter interactions described by the formalism of macroscopic quantum electrodynamics. The approach uses the level-set method to represent and incrementally evolve…

Quantum Physics · Physics 2022-09-09 Jonas Matuszak , Stefan Yoshi Buhmann , Robert Bennett

Systems of networked mobile robots, such as unmanned aerial or ground vehicles, will play important roles in future military and commercial applications. The communications for such systems will typically be over wireless links and may…

Networking and Internet Architecture · Computer Science 2011-09-01 Leenhapat Navaravong , John M. Shea , Eduardo L. Pasiliao , Gregory L. Barnette , Warren E. Dixon

A significant challenge in manipulation motion planning is to ensure agility in the face of unpredictable changes during task execution. This requires the identification and possible modification of suitable joint-space trajectories, since…

Robotics · Computer Science 2020-05-05 Filip Marić , Oliver Limoyo , Luka Petrović , Trevor Ablett , Ivan Petrović , Jonathan Kelly

Motion planning for multi-jointed robots is challenging. Due to the inherent complexity of the problem, most existing works decompose motion planning as easier subproblems. However, because of the inconsistent performance metrics, only…

Robotics · Computer Science 2018-10-11 Yu Zhao , Hsien-Chung Lin , Masayoshi Tomizuka

In this paper, we present a concurrent and scalable trajectory optimization method to improve the quality of robot-assisted manufacturing. Our method simultaneously optimizes tool orientations, kinematic redundancy, and waypoint timing on…

Robotics · Computer Science 2024-12-23 Yongxue Chen , Tianyu Zhang , Yuming Huang , Tao Liu , Charlie C. L. Wang

The work provides an exhaustive comparison of some representative families of topology optimization methods for 3D structural optimization, such as the Solid Isotropic Material with Penalization (SIMP), the Level-set, the Bidirectional…

Computational Engineering, Finance, and Science · Computer Science 2021-08-09 Daniel Yago , Juan Cante , Oriol Lloberas-Valls , Javier Oliver

We use topological data analysis and machine learning to study a seminal model of collective motion in biology [D'Orsogna et al., Phys. Rev. Lett. 96 (2006)]. This model describes agents interacting nonlinearly via attractive-repulsive…

Optical tactile sensors are extensively utilized in intelligent robot manipulation due to their ability to acquire high-resolution tactile information at a lower cost. However, achieving adequate reality and versatility in simulating…

Robotics · Computer Science 2024-05-07 Zirong Shen , Yuhao Sun , Shixin Zhang , Zixi Chen , Heyi Sun , Fuchun Sun , Bin Fang

Mode-based model-reduction is used to reduce the degrees of freedom of high dimensional systems, often by describing the system state by a linear combination of spatial modes. Transport dominated phenomena, ubiquitous in technical and…

Numerical Analysis · Mathematics 2020-02-28 Julius Reiss

Topological mechanics can realize soft modes in mechanical metamaterials in which the number of degrees of freedom for particle motion is finely balanced by the constraints provided by interparticle interactions. However, solid objects are…

Soft Condensed Matter · Physics 2021-03-03 Hridesh Kedia , Anton Souslov , D. Zeb Rocklin

A support structure is required to successfully create structural parts in the powder bed fusion process for additive manufacturing. In this study, we present the topology optimization of a support structure that improves the heat…

Computational Engineering, Finance, and Science · Computer Science 2022-01-19 Takao Miki , Shinji Nishiwaki

In the current industry, the development of optimized mechanical components able to satisfy the customer requirements evolves quickly. Therefore, companies are asked for efficient solutions to improve their products in terms of stiffness…

Computational Engineering, Finance, and Science · Computer Science 2023-07-31 Rafael Merli , Antolín Martínez-Martínez , Juan José Ródenas , Marc Bosch-Galera , Enrique Nadal
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