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Although Transformer has achieved great successes on many NLP tasks, its heavy structure with fully-connected attention connections leads to dependencies on large training data. In this paper, we present Star-Transformer, a lightweight…

计算与语言 · 计算机科学 2022-04-26 Qipeng Guo , Xipeng Qiu , Pengfei Liu , Yunfan Shao , Xiangyang Xue , Zheng Zhang

Two-scale topology optimization, combined with the design of microstructure families with a broad range of effective material parameters, is increasingly widely used in many fabrication applications to achieve a target deformation behavior…

图形学 · 计算机科学 2024-07-25 Davi Colli Tozoni , Zizhou Huang , Daniele Panozzo , Denis Zorin

Flat bands - single-particle energy bands - in tight-binding networks have attracted attention due to the presence of macroscopic degeneracies and their extreme sensitivity to perturbations. This makes them natural candidates for emerging…

光学 · 物理学 2024-03-27 Carlo Danieli , Alexei Andreanov , Daniel Leykam , Sergej Flach

We consider the problem of connected coordinated motion planning for a large collective of simple, identical robots: From a given start grid configuration of robots, we need to reach a desired target configuration via a sequence of…

计算几何 · 计算机科学 2023-10-17 Sándor P. Fekete , Phillip Keldenich , Ramin Kosfeld , Christian Rieck , Christian Scheffer

The Medial Axis Transform (MAT) is a complete shape descriptor capable of reconstructing the geometry of the original domain. A high-quality MAT should not only facilitate high-fidelity reconstruction but also capture structural features --…

图形学 · 计算机科学 2026-05-05 Pengfei Wang , Shuangmin Chen , Dongming Yan , Ying He , Shiqing Xin , Changhe Tu , Wenping Wang

There are various gate sets that can be used to describe a quantum computation. A particularly popular gate set in the literature on quantum computing consists of arbitrary single-qubit gates and 2-qubit CNOT gates. A CNOT gate is however…

量子物理 · 物理学 2022-09-05 John van de Wetering

Attention mechanisms are developing into a viable alternative to convolutional layers as elementary building block of NNs. Their main advantage is that they are not restricted to capture local dependencies in the input, but can draw…

机器学习 · 计算机科学 2021-09-07 Thorben Frank , Stefan Chmiela

We consider a solution of automata similar to Population Protocols and Network Constructors. The automata (or nodes) move passively in a well-mixed solution and can cooperate by interacting in pairs. Every such interaction may result in an…

分布式、并行与集群计算 · 计算机科学 2015-04-01 Othon Michail

We demonstrate the full functionality of a circuit that generates single microwave photons on demand, with a wave packet that can be modulated with a near-arbitrary shape. We achieve such a high tunability by coupling a superconducting…

量子物理 · 物理学 2017-12-12 P. Forn-Díaz , C. W. Warren , C. W. S. Chang , A. M. Vadiraj , C. M. Wilson

This is the second of a series of papers studying real algebraic threefolds using the minimal model program. The main result is the following. Let $X$ be a smooth projective real algebraic 3-fold. Assume that the set of real points is an…

alg-geom · 数学 2007-05-23 János Kollár

We show that programmable photonic circuit architectures composed of alternating mixing layers and active layers offer a high degree of flexibility. This alternating configuration enables the systematic tailoring of both the network's depth…

光学 · 物理学 2025-12-30 Matthew Markowitz , Kevin Zelaya , Mohammad-Ali Miri

We analyze a physically motivated fine-grained mesh-connected computer model, assuming that a word of information takes a fixed area and that it takes unit time and unit energy to move a word unit distance. This is a representation of…

数据结构与算法 · 计算机科学 2022-12-07 Quentin Stout

A set of linearly constrained permutation matrices are proposed for constructing a class of permutation codes. Making use of linear constraints imposed on the permutation matrices, we can formulate a minimum Euclidian distance decoding…

信息论 · 计算机科学 2015-03-17 Tadashi Wadayama , Manabu Hagiwara

We propose a principled convolutional neural pyramid (CNP) framework for general low-level vision and image processing tasks. It is based on the essential finding that many applications require large receptive fields for structure…

计算机视觉与模式识别 · 计算机科学 2017-04-10 Xiaoyong Shen , Ying-Cong Chen , Xin Tao , Jiaya Jia

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…

最优化与控制 · 数学 2023-05-03 Harald Garcke , Kei Fong Lam , Robert Nürnberg , Andrea Signori

The medial axis transform has applications in numerous fields including visualization, computer graphics, and computer vision. Unfortunately, traditional medial axis transformations are usually brittle in the presence of outliers,…

The decomposition of complex structures into simpler substructures is a powerful technique with a wide range of applications. We study the computation of decompositions in the context of programmable matter. The amoebot model is a…

分布式、并行与集群计算 · 计算机科学 2026-04-20 Henning Hillebrandt , Andreas Padalkin , Christian Scheideler , Daniel Warner , Julian Werthmann

A continuous motion planning method for connected automated vehicles is considered for generating feasible trajectories in real-time using three consecutive clothoids. The proposed method reduces path planning to a small set of nonlinear…

机器人学 · 计算机科学 2023-12-19 Sanghoon Oh , Qi Chen , H. Eric Tseng , Gaurav Pandey , Gabor Orosz

The design of complex materials and the formation of specific patterns often arise from the properties of the individual building blocks. In this respect, colloidal systems offer a unique opportunity because nowadays they can be synthesized…

软凝聚态物质 · 物理学 2022-03-01 Fabrizio Camerin , Emanuela Zaccarelli

Natural filaments, such as proteins, plant tendrils, octopus tentacles, and elephant trunks, can transform into arbitrary three-dimensional shapes that carry out vital functions. Their shape-morphing behavior arises from intricate…