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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

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

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

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

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) is one of the most promising techniques in the 14nm logic node and beyond. However, traditional LELELE type TPL technology suffers from native conflict and overlapping problems. Recently LELEEC process…

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

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

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

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

In recent years, tensor networks have emerged as powerful tools for solving large-scale optimization problems. One of the most promising tensor networks is the tensor ring (TR) decomposition, which achieves circular dimensional permutation…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 Jifei Miao , Kit Ian Kou , Hongmin Cai , Lizhi Liu

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

Hyperspherical Prototypical Learning (HPL) is a supervised approach to representation learning that designs class prototypes on the unit hypersphere. The prototypes bias the representations to class separation in a scale invariant and known…

Machine Learning · Computer Science 2025-04-18 Martin Lindström , Borja Rodríguez-Gálvez , Ragnar Thobaben , Mikael Skoglund

Self-aligned double patterning (SADP) has become a promising technique to push pattern resolution limit to sub-22nm technology node. Although SADP provides good overlay controllability, it encounters many challenges in physical design…

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

In this paper, we address the challenge of solving large-scale graph-structured nonlinear programs (gsNLPs) in a scalable manner. GsNLPs are problems in which the objective and constraint functions are associated with nodes on a graph and…

Optimization and Control · Mathematics 2026-05-19 Runxin Ni , Haoxuan Wang , Sen Na , Sungho Shin , Mihai Anitescu

In this paper, we propose and analyze a multiscale method for a class of quasilinear elliptic problems of nonmonotone type with spatially multiscale coefficient. The numerical approach is inspired by the Localized Orthogonal Decomposition…

Numerical Analysis · Mathematics 2025-07-28 Maher Khrais , Barbara Verfürth

Despite significant advances in Large Language Models (LLMs), planning tasks still present challenges for LLM-based agents. Existing planning methods face two key limitations: heavy constraints and cascading errors. To address these…

Computation and Language · Computer Science 2025-06-04 Zhengdong Lu , Weikai Lu , Yiling Tao , Yun Dai , ZiXuan Chen , Huiping Zhuang , Cen Chen , Hao Peng , Ziqian Zeng

Quadrilateral layouts on surfaces are valuable in texture mapping, and essential in generation of quadrilateral meshes and in fitting splines. Previous work has characterized such layouts as a special metric on a surface or as a meromorphic…

Computational Geometry · Computer Science 2020-12-18 Kendrick M. Shepherd , René R. Hiemstra , Thomas J. R. Hughes

The QLP decomposition is one of the effective algorithms to approximate singular value decomposition (SVD) in numerical linear algebra. In this paper, we propose some single-pass randomized QLP decomposition algorithms for computing the…

Numerical Analysis · Mathematics 2020-11-30 Huan Ren , Zheng-Jian Bai

We introduce a generalized framework for studying higher-order versions of the multiscale method known as Localized Orthogonal Decomposition. Through a suitable reformulation, we are able to accommodate both conforming and nonconforming…

Numerical Analysis · Mathematics 2025-06-25 Moritz Hauck , Alexei Lozinski , Roland Maier

When binary linear error-correcting codes are used over symmetric channels, a relaxed version of the maximum likelihood decoding problem can be stated as a linear program (LP). This LP decoder can be used to decode error-correcting codes at…

Information Theory · Computer Science 2013-09-24 Siddharth Barman , Xishuo Liu , Stark C. Draper , Benjamin Recht
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