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So-called "classification trimmed likelihood curves" have been proposed as a useful heuristic tool to determine the number of clusters and trimming proportion in trimming-based robust clustering methods. However, these curves needs a…

Replicating and surpassing the autonomy of natural organisms remains a long-standing goal in robotics. Yet most robotic systems have their structure, materials, and control designed separately, in sharp contrast to the co-evolution in…

Robotics · Computer Science 2026-05-14 Qinsong Guo , Liwei Wang

Biological structural designs in nature, like hoof walls, horns, and antlers, can be used as inspiration for generating structures with excellent mechanical properties. A common theme in these designs is the small percent porosity in the…

Computational Engineering, Finance, and Science · Computer Science 2023-10-03 Shashank Kushwaha , Junyan He , Diab Abueidda , Iwona Jasiuk

In this paper, deterministic and robust design optimizations of a permanent magnet assisted synchronous reluctance machine were performed to increase its mean torque while reducing torque ripple. These optimizations were carried out using a…

Optimization and Control · Mathematics 2022-11-30 Adán Reyes , Delphine Sinoquet , André Nasr , Sami Hlioui

The geometric optimization of crystal structures is a procedure widely used in Chemistry that changes the geometrical placement of the particles inside a structure. It is called structural relaxation and constitutes a local minimization…

Optimization and Control · Mathematics 2023-05-23 Antonia Tsili , Matthew Dyer , Vladimir Gusev , Piotr Krysta , Rahul Savani

Symmetry is a central organizing principle in natural systems, yet its use as a unifying design strategy in robotics has largely remained limited to geometric form. We show that symmetry can instead be leveraged at the level of dynamic…

Robotics · Computer Science 2026-05-29 Jiaxun Liu , Boxi Xia , Boyuan Chen

Materials that are lightweight yet exhibit superior mechanical properties are of compelling importance for several technological applications that range from aircrafts to household appliances. Lightweight materials allow energy saving and…

Applied Physics · Physics 2022-06-02 R. S. Ambekar , B. Kushwaha , P. Sharma , F. Bosia , M. Fraldi , N. Pugno , C. S. Tiwary

As soft robot design matures, researchers have converged to sophisticated design paradigms to enable the development of more suitable platforms. Two such paradigms are soft-rigid hybrid robots, which utilize rigid structural materials in…

Robotics · Computer Science 2025-06-05 Zach J. Patterson , Emily R. Sologuren , Daniela Rus

Using linearized elasticity as a convenient mechanical framework, we show that volumetric growth can be formulated as an optimization-driven process in which the growth tensor is determined implicitly by constrained optimization rather than…

Mathematical Physics · Physics 2026-05-14 Rohan Abeyaratne , Roberto Paroni , Marco Picchi Scardaoni

We analyze the convergence rate of various momentum-based optimization algorithms from a dynamical systems point of view. Our analysis exploits fundamental topological properties, such as the continuous dependence of iterates on their…

Optimization and Control · Mathematics 2021-04-13 Michael Muehlebach , Michael I. Jordan

Acoustic transparency is the capability of a medium to transmit mechanical waves to adjacent media, without scattering. This characteristic can be achieved by carefully engineering the acoustic impedance of the medium -- a combination of…

Applied Physics · Physics 2021-06-22 Sai Sharan Injeti , Paolo Celli , Kaushik Bhattacharya , Chiara Daraio

In this paper, we propose a variationally consistent technique for decreasing the maximum eigenfrequencies of structural dynamics related finite element formulations. Our approach is based on adding a symmetric positive-definite term to the…

Numerical Analysis · Mathematics 2022-07-27 Stein K. F. Stoter , Thi-Hoa Nguyen , René R. Hiemstra , Dominik Schillinger

Advances in manufacturing techniques may now realize virtually any imaginable microstructures, paving the way for architected materials with properties beyond those found in nature. This has lead to a quest for closing gaps in…

Materials Science · Physics 2020-11-10 Morten N. Andersen , Fengwen Wang , Ole Sigmund

Truss robots, or robots that consist of extensible links connected at universal joints, are often designed with modular physical components but require centralized control techniques. This paper presents a distributed control technique for…

Robotics · Computer Science 2021-08-17 Nathan S. Usevitch , Trevor Halsted , Zachary M. Hammond , Allison M. Okamura , Mac Schwager

The volumetric stretch energy has been widely applied to the computation of volume-/mass-preserving parameterizations of simply connected tetrahedral mesh models. However, this approach still lacks theoretical support. In this paper, we…

Numerical Analysis · Mathematics 2022-10-19 Tsung-Ming Huang , Wei-Hung Liao , Wen-Wei Lin , Mei-Heng Yueh , Shing-Tung Yau

Structural stiffness plays an important role in engineering design. The analysis of stiffness requires precise experiments and computational models that can be difficult or time-consuming to procure. A novel relation between modal and…

Mesoscale and Nanoscale Physics · Physics 2020-12-22 Petr Henyš , Danas Sutula , Jiří Kopal , Michal Kuchař , Lukáš Čapek

Process flexibility is widely adopted as an effective strategy for responding to uncertain demand. Many algorithms for constructing sparse flexibility designs with good theoretical guarantees have been developed for balanced and symmetrical…

Data Structures and Algorithms · Computer Science 2018-06-11 Xi Chen , Tengyu Ma , Jiawei Zhang , Yuan Zhou

We propose a volumetric formulation for computing the Optimal Transport problem defined on surfaces in $\mathbb{R}^3$, found in disciplines like optics, computer graphics, and computational methodologies. Instead of directly tackling the…

Numerical Analysis · Mathematics 2024-05-16 Richard Tsai , Axel G. R. Turnquist

In this article, we present a mechanism and related path planning algorithm to construct light-duty barriers out of extruded, inflated tubes weaved around existing environmental features. Our extruded tubes are based on everted vine-robots…

Robotics · Computer Science 2023-10-31 H. J. Kim , H. Abdel-Raziq , X. Liu , A. Y. Siskovic , S. Patil , K. H. Petersen , H. L. Kao

Engineering design is traditionally performed by hand: an expert makes design proposals based on past experience, and these proposals are then tested for compliance with certain target specifications. Testing for compliance is performed…