24 papers · ranked by Valyu relevance
Arnur Nigmetov, Dmitriy Morozov
Using persistent homology to guide optimization has emerged as a novel application of topological data analysis. Existing methods treat persistence calculation as a black box and backpropagate gradients only onto the simplices involved in particular pairs. We show how the cycles and chains used in the persistence…
A. Ferrer, J.C. Cante, J.A. Hernández, J. Oliver
Title: Summary In this work, a new strategy for solving multiscale topology optimization problems is presented. An alternate direction algorithm and a precomputed offline microstructure database (Computational Vademecum) are used to efficiently solve the problem. In addition, the influence of considering manufacturable…
Tianshu Tang, Leijia Wang, Mingqiao Zhu, Huzhi Zhang + 4 more
'Wenhui Yue' 'Hui Xia' 'Guoyu Wang'] Topology optimization is a powerful structural design method that determines the optimal configuration by distributing materials efficiently within a given design domain while satisfying specified load, performance, and volume constraints. Unlike size and shape optimization…
Frantisek Sedlacek, Tomas Kalina, Martin Stepanek, Grzegorz Królczyk
This paper presents a novel design methodology that validates and utilizes the results of topology optimization as the final product shape. The proposed methodology aims to streamline the design process by eliminating the need for remodeling and minimizing printing errors through process simulation. It also eliminates…
Sharad Rawat, M.-H. Herman Shen
Topology design optimization offers a tremendous opportunity in design and manufacturing freedoms by designing and producing a part from the ground-up without a meaningful initial design as required by conventional shape design optimization approaches. Ideally, with adequate problem statements, to formulate and solve…
Luis Saucedo-Mora, Ismael Ben-Yelun, Hugo García-Modet, Miguel Ángel Sanz-Gómez + 1 more
The design and manufacturing of high value industrial components is suffering a change of paradigm with 3D printing. In this change of paradigm, metamaterials have an important role because when a component is 3D-printed, it is performed from the micro level, where custom structures may be designed to endow the…
Shiguang Deng, Krishnan Suresh
The primary advantages of the proposed method are: (1) it rests on well-established augmented Lagrangian formulation for constrained optimization, (2) the augmented topological level-set can be derived systematically for an arbitrary set of loads and constraints, and (3) the level-set can be updated efficiently. The…
Tong Han, David J. Hill, Song Yue
—Network topology has significant impacts on operational performance of power systems. While extensive research efforts have been devoted to optimization of network topology for improving various system performances, the problem of how to transition from the initial topology to the desired optimal topology requires…
Leon Baeck, Sebastian Blauth, Christian Leithäuser, René Pinnau + 1 more
Optimization of Bipolar Plates of Electrolysis Cells Authors: ['Leon Baeck' 'Sebastian Blauth' 'Christian Leithäuser' 'René Pinnau' 'Kevin Sturm'] > Abstract. Topology optimization problems usually feature multiple local minimizers. To guarantee convergence to local minimizers that perform best globally or to find…
Chenhui Kou, Yuhui Yin, Min Zhu, Shengkun Jia + 3 more
The design of fluid channel structures of reactors or separators of chemical processes is a key to enhancing the mass transfer processes inside the devices. However, systematically designing channel topological structures remains challenging for complex turbulent flows. Here, this challenge is addressed by developing a…
Shuangyuan Cao, Hanbin Wang, Jianbin Tong, Zhongqi Sheng
As is known to all, the incapacity to nucleate holes automatically in the design domain is one of the main issues of the classical level set topology optimization method. To solve the issue of hole nucleation, this paper employs the bi-directional evolutionary structural optimization (BESO) method based on the material…
Samuel Kim, Thomas Christensen, Steven G. Johnson, Marin Soljačić
Topological photonic crystals have received considerable attention for their ability to manipulate and guide light in unique ways. They are typically designed by hand based on careful analysis of their bands and mode profiles, but recent theoretical advances have revealed new and powerful insights into the connection…
P. Gangl, M. H. Gfrerer
We introduce a unified sensitivity concept for shape and topological perturbations and perform the sensitivity analysis for a discretized PDE-constrained design optimization problem in two space dimensions. We assume that the design is represented by a piecewise linear and globally continuous level set function on a…
Authors not listed
Topological band theory based on the variety of reciprocal space invariants provides an insightful framework for quantum material characterization in condensed matter physics. Its bulk-boundary correspondence principle has become a reliable tool for predicting Fermi level properties. Here, we investigate a recently…
Changin Oh, Kathleen P. Wilkie
We present the Toroidal Search Algorithm (TSA), a novel population-based metaheuristic optimization method inspired by the topology of a torus. Conventional metaheuristics frequently suffer from boundary stagnation, a phenomenon that severely degrades performance in bounded and high-dimensional search spaces. TSA…
Yang Ping Kuo, Oana Carja
To design population topologies that can accelerate rates of solution discovery in directed evolution problems or in evolutionary optimization applications, we must first systematically understand how population structure shapes evolutionary outcome. Using the mathematical formalism of evolutionary graph theory, recent…
Leo Cazenille, Nicolas Bredeche, Nathanael Aubert-Kato
We are interested in programming a swarm of molecular robots that can perform self-assembly to form specific shapes at a specific location. Programming such robot swarms is challenging for two reasons. First, the goal is to optimize both the parameters and the structure of chemical reaction networks. Second, the search…
Authors not listed
We present a mechanistic framework to characterize photon absorption in quantum dots, enabling rational optimization of image sensor designs. Our analysis is based on the Analytic Path structured-field model, which treats both electrons and photons as extended electromagnetic structures rather than point particles.…
Michael Sabatini Mattei, Boyuan Liu, Gerardo A. Mazzei Capote, Zijie Liu + 3 more
Photonic topological insulators have emerged as an exciting new platform for backscatter-free waveguiding even in the presence of defects, with applications in robust long-range energy and quantum information transfer, low-threshold lasing, and chiral quantum optics. We demonstrate a design for spin-Hall photonic…
Michael Hutcheon, Andrew Teale
Algorithms are presented for performing a topological analysis of an arbitrary function, evaluated on an arbitrary grid of points. These algorithms work strictly by post-processing the data and require no additional function evaluations. This is achieved by connecting the grid points with a neighbourhood graph…
Arnau Rodríguez-Rubio, Andrea Savoini, Florian Modicom, Patrick Butler + 1 more
As recognized in the early 1960s, catenanes composed of two achiral rings that are oriented (Cnh symmetry) as a result of the sequence of atoms they contain are topologically chiral. Here we present the first synthesis of a highly enantioenriched catenane containing a related but overlooked “co-conformationally…
Vahid Mardanlou, Elisa Franco
In a synthetic biological network it may often be desirable to maximize or minimize parameters such as reaction rates, fluxes and total concentrations of reagents, while preserving a given dynamic behavior. We consider the problem of parameter optimization in biomolecular bistable circuits. We show that, under some…
Zhenghong Chen
Persistent homology, building its foundation on homology theory, has been successfully applied various fields containing computation of topology. Here, we derive and implement persistent homology theory to specefic topological spaces with G-invariant covering, whereby persistence over quotient space can be canonically…
Nikolaos Tsiantis, Julio R. Banga
We revisit the idea of explaining and predicting dynamics in biochemical pathways from first-principles. A promising approach is to exploit optimality principles that can be justified from an evolutionary perspective. In the context of the cell, several previous studies have explained the dynamics of simple metabolic…