141,020 research outputs found
Methodology for standard cell compliance and detailed placement for triple patterning lithography
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 deployed within standard cells, are most critical and complex parts for
modern digital designs. Traditional design flow that ignores TPL in early
stages may limit the potential to resolve all the TPL conflicts. In this paper,
we propose a coherent framework, including standard cell compliance and
detailed placement to enable TPL friendly design. Considering TPL constraints
during early design stages, such as standard cell compliance, improves the
layout decomposability. With the pre-coloring solutions of standard cells, we
present a TPL aware detailed placement, where the layout decomposition and
placement can be resolved simultaneously. Our experimental results show that,
with negligible impact on critical path delay, our framework can resolve the
conflicts much more easily, compared with the traditional physical design flow
and followed layout decomposition
Cutting-Plane Separation Strategies for Semidefinite Programming Models to Solve Single-Row Facility Layout Problems
The single-row facility layout problem (SRFLP) is concerned with finding the optimal linear placement of n departments with different lengths in a straight line. It is typically achieved by minimizing the cost associated with the interactions between the departments. The semidefinite programming (SDP) relaxation model that incorporates cutting planes proposed recently by Anjos, Kennings, and Vannelli (AKV) was considered a breakthrough in the field. This thesis presents a new SDP model AKV' and compares the two relaxations. The AKV' is largely based on the previous model, but it reduces the number of linear constraints from O(nÂł) to O(nÂČ). Therefore, it reduces the computing time at the expense of a slightly weaker lower bound. However, AKV' is observed to pay off as the instance size increases. By examining the gap for both the AKV and AKV' relaxations, we notice that both relaxations generate very small gaps at the root node, which demonstrates the effectiveness of the relaxations.
Six different strategies are presented to separate the cutting planes for the medium-sized SRFLP. In combination with the two SDP relaxations, we compare the six strategies using three instances of different characteristics. An overall best strategy is deduced from the computational results, but the best choice of relaxations and the best number of cuts added at each iteration changes depending on the characteristics of the instances. Two new cutting plane strategies are proposed for large instances. This allows the solution to optimality of new instances with 36 departments, which is higher than previously published results in literature. We also briefly point out how the computing time can vary greatly between different sets of data of the same size due to the characteristics of the department lengths
Facility layout problem: Bibliometric and benchmarking analysis
Facility layout problem is related to the location of departments in a facility area, with the aim of determining the most effective configuration. Researches based on different approaches have been published in the last six decades and, to prove the effectiveness of the results obtained, several instances have been developed. This paper presents a general overview on the extant literature on facility layout problems in order to identify the main research trends and propose future research questions. Firstly, in order to give the reader an overview of the literature, a bibliometric analysis is presented. Then, a clusterization of the papers referred to the main instances reported in literature was carried out in order to create a database that can be a useful tool in the benchmarking procedure for researchers that would approach this kind of problems
DeepContext: Context-Encoding Neural Pathways for 3D Holistic Scene Understanding
While deep neural networks have led to human-level performance on computer
vision tasks, they have yet to demonstrate similar gains for holistic scene
understanding. In particular, 3D context has been shown to be an extremely
important cue for scene understanding - yet very little research has been done
on integrating context information with deep models. This paper presents an
approach to embed 3D context into the topology of a neural network trained to
perform holistic scene understanding. Given a depth image depicting a 3D scene,
our network aligns the observed scene with a predefined 3D scene template, and
then reasons about the existence and location of each object within the scene
template. In doing so, our model recognizes multiple objects in a single
forward pass of a 3D convolutional neural network, capturing both global scene
and local object information simultaneously. To create training data for this
3D network, we generate partly hallucinated depth images which are rendered by
replacing real objects with a repository of CAD models of the same object
category. Extensive experiments demonstrate the effectiveness of our algorithm
compared to the state-of-the-arts. Source code and data are available at
http://deepcontext.cs.princeton.edu.Comment: Accepted by ICCV201
Coverage, Continuity and Visual Cortical Architecture
The primary visual cortex of many mammals contains a continuous
representation of visual space, with a roughly repetitive aperiodic map of
orientation preferences superimposed. It was recently found that orientation
preference maps (OPMs) obey statistical laws which are apparently invariant
among species widely separated in eutherian evolution. Here, we examine whether
one of the most prominent models for the optimization of cortical maps, the
elastic net (EN) model, can reproduce this common design. The EN model
generates representations which optimally trade of stimulus space coverage and
map continuity. While this model has been used in numerous studies, no
analytical results about the precise layout of the predicted OPMs have been
obtained so far. We present a mathematical approach to analytically calculate
the cortical representations predicted by the EN model for the joint mapping of
stimulus position and orientation. We find that in all previously studied
regimes, predicted OPM layouts are perfectly periodic. An unbiased search
through the EN parameter space identifies a novel regime of aperiodic OPMs with
pinwheel densities lower than found in experiments. In an extreme limit,
aperiodic OPMs quantitatively resembling experimental observations emerge.
Stabilization of these layouts results from strong nonlocal interactions rather
than from a coverage-continuity-compromise. Our results demonstrate that
optimization models for stimulus representations dominated by nonlocal
suppressive interactions are in principle capable of correctly predicting the
common OPM design. They question that visual cortical feature representations
can be explained by a coverage-continuity-compromise.Comment: 100 pages, including an Appendix, 21 + 7 figure
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