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We propose a local reinforcement technique for lattices in the vicinity of a stress-raiser such as a notch, in order to elevate the macroscopic strength and ductility. A spatially non-uniform waviness distribution of sinusoidally-shaped…

Materials Science · Physics 2020-10-13 K. Li , P. E. Seiler , V. S. Deshpande , N. A. Fleck

With the growing maturity of additive manufacturing, the fabrication of architected or lattice-based metamaterials has become a reality for industrial applications. These materials combine lightweight design with tailored mechanical…

Numerical Analysis · Mathematics 2026-03-12 Clément Guillet , Thibaut Hirschler , Pierre Jolivet , Pablo Antolin , Robin Bouclier

Lattice structures, distinguished by their customizable geometries at the microscale and outstanding mechanical performance, have found widespread application across various industries. One fundamental process in their design and…

Computational Geometry · Computer Science 2025-04-15 Guoyue Luo , Qiang Zou

Recurrent neural networks have shown remarkable success in modeling sequences. However low resource situations still adversely affect the generalizability of these models. We introduce a new family of models, called Lattice Recurrent Units…

Machine Learning · Computer Science 2017-11-23 Chaitanya Ahuja , Louis-Philippe Morency

A lattice is a partially-ordered set in which every pair of elements has a unique meet (greatest lower bound) and join (least upper bound). We present new data structures for lattices that are simple, efficient, and nearly optimal in terms…

Data Structures and Algorithms · Computer Science 2020-06-17 J. Ian Munro , Bryce Sandlund , Corwin Sinnamon

Modeling arbitrarily large deformations of surfaces smoothly embedded in three-dimensional space is challenging. The difficulties come from two aspects: the existing geometry processing or forward simulation methods penalize the difference…

Graphics · Computer Science 2022-08-10 Jiahao Wen , Bohan Wang , Jernej Barbič

Additive manufacturing (AM) enables the development of high-performance architected cellular materials, emphasizing the growing importance of establishing programmable and predictable energy absorption capabilities. This study evaluates the…

Applied Physics · Physics 2024-02-27 Mattia Utzeri , Marco Sasso , Vikram S. Deshpande , S. Kumar

We present a network architecture for processing point clouds that directly operates on a collection of points represented as a sparse set of samples in a high-dimensional lattice. Naively applying convolutions on this lattice scales…

Computer Vision and Pattern Recognition · Computer Science 2018-05-10 Hang Su , Varun Jampani , Deqing Sun , Subhransu Maji , Evangelos Kalogerakis , Ming-Hsuan Yang , Jan Kautz

Aiming at the study of critical phenomena in the presence of boundaries with a non-trivial shape we discuss how lattices with an adaptive lattice spacing can be implemented. Since the parameters of the Hamiltonian transform non-trivially…

Statistical Mechanics · Physics 2015-03-25 Martin Hasenbusch

Finite element methods based on cut-cells are becoming increasingly popular because of their advantages over formulations based on body-fitted meshes for problems with moving interfaces. In such methods, the cells (or elements) which are…

Computational Engineering, Finance, and Science · Computer Science 2022-07-18 Chennakesava Kadapa , Xinyu Wang , Yue Mei

The key challenge in designing a sketch representation lies with handling the abstract and iconic nature of sketches. Existing work predominantly utilizes either, (i) a pixelative format that treats sketches as natural images employing…

Computer Vision and Pattern Recognition · Computer Science 2021-08-27 Yonggang Qi , Guoyao Su , Pinaki Nath Chowdhury , Mingkang Li , Yi-Zhe Song

Adaptive response to a varying environment is a common feature of biological organisms. Reproducing such features in electronic systems and circuits is of great importance for a variety of applications. Here, we consider memory models…

Cell Behavior · Quantitative Biology 2013-10-29 Fabio Lorenzo Traversa , Yuriy V. Pershin , Massimiliano Di Ventra

Large Chunk Test-Time Training (LaCT) has shown strong performance on long-context 3D reconstruction, but its fully plastic inference-time updates remain vulnerable to catastrophic forgetting and overfitting. As a result, LaCT is typically…

Computer Vision and Pattern Recognition · Computer Science 2026-04-09 Ziqiao Ma , Xueyang Yu , Haoyu Zhen , Yuncong Yang , Joyce Chai , Chuang Gan

Learning a stable Linear Dynamical System (LDS) from data involves creating models that both minimize reconstruction error and enforce stability of the learned representation. We propose a novel algorithm for learning stable LDSs. Using a…

Machine Learning · Computer Science 2020-11-19 Giorgos Mamakoukas , Orest Xherija , T. D. Murphey

Flexibility at hardware level is the main driving force behind adaptive systems whose aim is to realise microarhitecture deconfiguration 'online'. This feature allows the software/hardware stack to tolerate drastic changes of the workload…

Hardware Architecture · Computer Science 2016-12-28 Ana Lava , Mahdi Jelodari Mamaghani , Siamak Mohammadi , Steve Furber

During the reversible insertion of ions, lattices in intercalation materials undergo structural transformations. These lattice transformations generate misfit strains and volume changes that, in turn, contribute to the structural decay of…

Materials Science · Physics 2022-07-01 Delin Zhang , Ananya Renuka Balakrishna

In this article we introduce theory and algorithms for learning discrete representations that take on a lattice that is embedded in an Euclidean space. Lattice representations possess an interesting combination of properties: a) they can be…

Machine Learning · Computer Science 2020-06-25 Luis A. Lastras

Localized deformation patterns are a common motif in morphogenesis and are increasingly finding widespread applications in materials science, for instance as memory devices. Here we describe the emergence of spatially localized deformations…

Soft Condensed Matter · Physics 2019-06-12 Thomas C. T. Michaels , Remy Kusters , Alexander J. Dear , Cornelis Storm , James C. Weaver , L. Mahadevan

This study proposes a methodology to utilize machine learning (ML) for topology optimization of periodic lattice structures. In particular, we investigate data representation of lattice structures used as input data for ML models to improve…

Optimization and Control · Mathematics 2024-11-22 Tomoya Matsuoka , Makoto Ohsaki , Kazuki Hayashi

This paper proposes an adaptive lattice-based motion planning solution to address the problem of generating feasible trajectories for systems, represented by a linearly parameterizable non-linear model operating within a cluttered…

Robotics · Computer Science 2025-08-20 Abhishek Dhar , Sarthak Mishra , Spandan Roy , Daniel Axehill