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We propose a new anytime hierarchical clustering method that iteratively transforms an arbitrary initial hierarchy on the configuration of measurements along a sequence of trees we prove for a fixed data set must terminate in a chain of…

机器学习 · 统计学 2014-04-15 Omur Arslan , Daniel E. Koditschek

Heterogeneous materials are often organized in a hierarchical manner, where a basic unit is repeated over multiple scales.The structure then acquires a self-similar pattern. Examples of such structure are found in various biological and…

统计力学 · 物理学 2019-08-28 Soumyajyoti Biswas , Michael Zaiser

Simulation in media with multiple continua where each continuum interacts with every other is often challenging due to multiple scales and high contrast. One needs some types of model reduction. One of the approaches is multi-continuum…

数值分析 · 数学 2019-06-12 Jun Sur Richard Park , Viet Ha Hoang

Dry granular materials consist of a vast ensemble of discrete solid particles, interacting through complex frictional forces at the contact points. The particles are so large that these systems are believed to be completely athermal. Here,…

软凝聚态物质 · 物理学 2024-01-17 Kasra Farain , Daniel Bonn

We systematically study the design of simple patchy sphere models that reversibly self-assemble into monodisperse icosahedral clusters. We find that the optimal patch width is a compromise between structural specificity (the patches must be…

软凝聚态物质 · 物理学 2007-09-03 Alex W. Wilber , Jonathan P. K. Doye , Ard A. Louis , Eva G. Noya , Mark A. Miller , Pauline Wong

Algorithmic self-assembly, a generalization of crystal growth processes, has been proposed as a mechanism for autonomous DNA computation and for bottom-up fabrication of complex nanostructures. A `program' for growing a desired structure…

材料科学 · 物理学 2010-01-08 Rebecca Schulman , Erik Winfree

This study presents a system integration approach for planning schedules, sequences, tasks, and motions for reconfigurable robots to automatically disassemble constrained structures in a non-destructive manner. Such systems must adapt their…

机器人学 · 计算机科学 2025-09-19 Takuya Kiyokawa , Tomoki Ishikura , Shingo Hamada , Genichiro Matsuda , Kensuke Harada

Self-organization creates new order and shifts sub-boundaries while reorganizing energy and entropy within a control volume. This article examines pathway selection and tests whether maximizing the entropy generation rate can forecast…

材料科学 · 物理学 2026-03-10 J. A. Sekhar

Network data often arises via a series of structured interactions among a population of constituent elements. E-mail exchanges, for example, have a single sender followed by potentially multiple receivers. Scientific articles, on the other…

统计方法学 · 统计学 2019-01-30 Walter Dempsey , Brandon Oselio , Alfred Hero

In the present monograph we formulate a simple model for heat transfer in living tissue with self - regulation. The initial point of the model is the governing equations describing heat transfer in living tissue at the mesoscopic level,…

adap-org · 物理学 2007-05-23 I. A. Lubashevsky , V. V. Gafiychuk

In geometrically frustrated assemblies, equilibrium self-limitation manifests in the form of a minimum in the free energy per subunit at a finite, multi-subunit size which results from the competition between the elastic costs of…

软凝聚态物质 · 物理学 2023-08-15 Michael Wang , Gregory Grason

We present a method that systematically simplifies isotropic interactions designed for targeted self-assembly. The uncertainty principle is used to show that an optimal simplification is achieved by a combination of heat kernel smoothing…

软凝聚态物质 · 物理学 2013-12-19 Erik Edlund , Oskar Lindgren , Martin Nilsson Jacobi

Predictively steering self-organising systems with hierarchical structure toward intended outcomes across widely separated dynamical scales remains a fundamental challenge. Despite decades of progress, hierarchy remains a descriptive…

光学 · 物理学 2026-02-17 Aladin Şura , F. Ömer Ilday

We face a need of discovering a pattern in locations of a great number of points in a high-dimensional space. Goal is to group the close points together. We are interested in a hierarchical structure, like a B-tree. B-Trees are…

数据结构与算法 · 计算机科学 2016-07-19 Victor Sadikov , Oliver Rutishauser

The goal of inverse self-assembly is to design inter-particle interactions capable of assembling the units into a desired target structure. The effective assembly of complex structures often requires the use of multiple components, each new…

软凝聚态物质 · 物理学 2023-11-08 Camilla Beneduce , Francesco Sciortino , Petr Sulc , John Russo

The rapid progress in precisely designing the surface decoration of patchy colloidal particles offers a new, yet unexperienced freedom to create building entities for larger, more complex structures in soft matter systems. However, it is…

软凝聚态物质 · 物理学 2012-06-14 G. Doppelbauer , E. G. Noya , E. Bianchi , G. Kahl

Complex nonequilibrium self-assembly enables the formation of materials with specific patterns and functions from the bottom up. How to directionally control the assembly to form the target configuration is a challenge. Here, we propose a…

软凝聚态物质 · 物理学 2026-01-29 Chaoqun Du , Zhiyu Cao , Zhonghuai Hou

In a hierarchical nanopatterning routine relying exclusively on self-assembly processes we combine crystal surface reconstruction, microphase separation of copolymers, and selective metal diffusion to produce monodisperse metal…

介观与纳米尺度物理 · 物理学 2017-07-07 Denise Erb , Kai Schlage , Ralf Röhlsberger

We examine the problem of making reconciled forecasts of large collections of related time series through a behavioural/Bayesian lens. Our approach explicitly acknowledges and exploits the 'connectedness' of the series in terms of…

统计方法学 · 统计学 2022-10-03 Ross Hollyman , Fotios Petropoulos , Michael E. Tipping

Understanding the complex self-assembly of biomacromolecules is a major outstanding question. Microtubules are one example of a biopolymer that possesses characteristics quite distinct from standard synthetic polymers that are derived from…

软凝聚态物质 · 物理学 2013-01-10 Shengfeng Cheng , Ankush Aggarwal , Mark J. Stevens