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Related papers: Triple Patterning Lithography (TPL) Layout Decompo…

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Triple patterning lithography (TPL) is one of the most promising techniques in the 14nm logic node and beyond. Conventional LELELE type TPL technology suffers from native conflict and overlapping problems. Recently, as an alternative…

Other Computer Science · Computer Science 2014-08-05 Bei Yu , Subhendu Roy , Jhih-Rong Gao , David Z. Pan

As minimum feature size and pitch spacing further decrease, triple patterning lithography (TPL) is a possible 193nm extension along the paradigm of double patterning lithography (DPL). However, there is very little study on TPL layout…

Hardware Architecture · Computer Science 2014-02-12 Bei Yu , Kun Yuan , Boyang Zhang , Duo Ding , David Z. Pan

Triple patterning lithography (TPL) has received more and more attentions from industry as one of the leading candidate for 14nm/11nm nodes. In this paper, we propose a high performance layout decomposer for TPL. Density balancing is…

Hardware Architecture · Computer Science 2014-02-13 Bei Yu , Yen-Hung Lin , Gerard Luk-Pat , Duo Ding , Kevin Lucas , David Z. Pan

For next-generation technology nodes, multiple patterning lithography (MPL) has emerged as a key solution, e.g., triple patterning lithography (TPL) for 14/11nm, and quadruple patterning lithography (QPL) for sub-10nm. In this paper, we…

Data Structures and Algorithms · Computer Science 2014-04-02 Bei Yu , David Z. Pan

As the feature size of semiconductor process further scales to sub-16nm technology node, triple patterning lithography (TPL) has been regarded one of the most promising lithography candidates. M1 and contact layers, which are usually…

Hardware Architecture · Computer Science 2014-02-12 Bei Yu , Xiaoqing Xu , Jhih-Rong Gao , David Z. Pan

Triple patterning lithography (TPL) has been recognized as one of the most promising solutions to print critical features in advanced technology nodes. A critical challenge within TPL is the effective assignment of the layout to masks.…

Other Computer Science · Computer Science 2026-01-28 Chengkai Wang , Weiqing Ji , Mingyang Kou , Zhiyang Chen , Fei Li , Hailong Yao

Multiple patterning lithography (MPL) is regarded as one of the most promising ways of overcoming the resolution limitations of conventional optical lithography due to the delay of next-generation lithography technology. As the feature size…

Artificial Intelligence · Computer Science 2023-03-28 Guojin Chen , Haoyu Yang , Bei Yu

As the feature size of semiconductor technology shrinks to 10 nm and beyond, the multiple patterning lithography (MPL) attracts more attention from the industry. In this paper, we model the layout decomposition of MPL as a generalized graph…

Neural and Evolutionary Computing · Computer Science 2023-04-11 Yu Chen , Yongjian Xu , Ning Xu

Multiple patterning lithography has been widely adopted in advanced technology nodes of VLSI manufacturing. As a key step in the design flow, multiple patterning layout decomposition (MPLD) is critical to design closure. Due to the…

Other Computer Science · Computer Science 2019-09-17 Wei Li , Yuzhe Ma , Qi Sun , Yibo Lin , Iris Hui-Ru Jiang , Bei Yu , David Z. Pan

TPL-friendly detailed routers require a systematic approach to detect TPL conflicts. However, the complexity of conflict graph (CG) impedes directly detecting TPL conflicts in CG. This work proposes a token graph-embedded conflict graph…

Hardware Architecture · Computer Science 2014-02-14 Yen-Hung Lin , Bei Yu , David Z. Pan , Yih-Lang Li

Layout fracturing is a fundamental step in mask data preparation and e-beam lithography (EBL) writing. To increase EBL throughput, recently a new L-shape writing strategy is proposed, which calls for new L-shape fracturing, versus the…

Hardware Architecture · Computer Science 2014-02-12 Bei Yu , Jhih-Rong Gao , David Z. Pan

Let G = (V, E, L) be an edge-labeled graph such that V is the set of vertices, E is the set of edges, L is the set of labels (colors) and each edge e \in E has a label l(e) associated; The goal of the minimum labeling global cut problem…

Tensor decomposition has emerged as a prominent technique to learn low-dimensional representation under the supervision of reconstruction error, primarily benefiting data inference tasks like completion and imputation, but not…

Machine Learning · Computer Science 2024-09-24 Man Li , Ziyue Li , Lijun Sun , Fugee Tsung

In this paper, we introduce the proper latent decomposition (PLD) as a generalization of the proper orthogonal decomposition (POD) on manifolds. PLD is a nonlinear reduced-order modeling technique for compressing high-dimensional data into…

Machine Learning · Computer Science 2024-12-03 Daniel Kelshaw , Luca Magri

The development of laser scanning techniques has popularized the representation of 3D shapes by triangular meshes with a large number of vertices. Compression techniques dedicated to such meshes have emerged, which exploit the idea that the…

Computational Geometry · Computer Science 2013-10-10 Jérémy Espinas , Raphaëlle Chaine , Pierre-Marie Gandoin

We consider the problem of solving a family of parametric mixed-integer linear optimization problems where some entries in the input data change. We introduce the concept of cutting-plane layer (CPL), i.e., a differentiable cutting-plane…

Optimization and Control · Mathematics 2023-11-10 Gabriele Dragotto , Stefan Clarke , Jaime Fernández Fisac , Bartolomeo Stellato

The necessary decarbonization efforts in energy sectors entail the integration of flexibility assets, as well as increased levels of uncertainty for the planning and operation of power systems. To cope with this in a cost-effective manner,…

Systems and Control · Electrical Eng. & Systems 2024-09-25 Stefan Borozan , Spyros Giannelos , Paola Falugi , Alexandre Moreira , Goran Strbac

A conflict graph represents logical relations between binary variables, and effective use of the graph can significantly accelerate branch-and-cut solvers for mixed-integer programming (MIP). In this paper we develop efficient parallel…

Optimization and Control · Mathematics 2025-06-18 Yongzheng Dai , Chen Chen

We present a factor $14D^2$ approximation algorithm for the minimum linear arrangement problem on series-parallel graphs, where $D$ is the maximum degree in the graph. Given a suitable decomposition of the graph, our algorithm runs in time…

Discrete Mathematics · Computer Science 2014-10-17 Martina Eikel , Christian Scheideler , Alexander Setzer

Cutting planes (cuts) are crucial for solving Mixed Integer Linear Programming (MILP) problems. Advanced MILP solvers typically rely on manually designed heuristic algorithms for cut selection, which require much expert experience and…

Optimization and Control · Mathematics 2024-12-11 Xuefeng Zhang , Liangyu Chen , Zhengfeng Yang , Zhenbing Zeng
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