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Quarter level cell (QLC) 3D NAND flash memory is emerging as the predominant storage solution in the era of artificial intelligence. QLC 3D NAND flash stores 4 bit per cell to expand the storage density, resulting in narrower read margins.…

Hardware Architecture · Computer Science 2025-11-04 Qianhui Li , Weiya Wang , Qianqi Zhao , Tong Qu , Jing He , Xuhong Qiang , Jingwen Hou , Ke Chen , Bao Zhang , Qi Wang

This work introduces a systematic method for identifying analytical and semi-analytical solutions of force-free magnetic fields with plane-parallel and axial symmetry. The method of separation of variables is used, allowing the…

High Energy Astrophysical Phenomena · Physics 2025-01-28 Konstantinos N. Gourgouliatos

In this paper, we present a deterministic variant of Chan's randomized partition tree [Discret. Comput. Geom., 2012]. This result leads to numerous applications. In particular, for $d$-dimensional simplex range counting (for any constant $d…

Computational Geometry · Computer Science 2025-07-03 Haitao Wang

We present a structure in external memory for "top-k range reporting", which uses linear space, answers a query in O(lg_B n + k/B) I/Os, and supports an update in O(lg_B n) amortized I/Os, where n is the input size, and B is the block size.…

Data Structures and Algorithms · Computer Science 2014-03-27 Yufei Tao

We propose exact solution approaches for a lateral transhipment problem which, given a pre-specified sequence of customers, seeks an optimal inventory redistribution plan considering travel costs and profits dependent on inventory levels.…

Data Structures and Algorithms · Computer Science 2015-12-24 Martin Romauch , Thibaut Vidal , Richard F. Hartl

The resource recharging station location routing problem is a generalization of the location routing problem with sophisticated and critical resource consumption and recharging constraints. Based on a representation of discretized acyclic…

Optimization and Control · Mathematics 2016-02-24 Gongyuan Lu , Xuesong Zhou , Qiyuan Peng , Bisheng He , Monirehalsadat Mahmoudi , Jun Zhao

We present subquadratic algorithms in the algebraic decision-tree model for several \textsc{3Sum}-hard geometric problems, all of which can be reduced to the following question: Given two sets $A$, $B$, each consisting of $n$ pairwise…

Computational Geometry · Computer Science 2021-09-17 Boris Aronov , Mark de Berg , Jean Cardinal , Esther Ezra , John Iacono , Micha Sharir

In this report we study the problem of determining three-dimensional orientations for noisy projections of randomly oriented identical particles. The problem is of central importance in the tomographic reconstruction of the density map of…

Data Structures and Algorithms · Computer Science 2007-05-23 Taneli Mielikäinen , Janne Ravantti , Esko Ukkonen

We consider the problem of performing predecessor searches in a bounded universe while achieving query times that depend on the distribution of queries. We obtain several data structures with various properties: in particular, we give data…

Data Structures and Algorithms · Computer Science 2017-07-06 Prosenjit Bose , Rolf Fagerberg , John Howat , Pat Morin

The Multidimensional Assignment Problem (MAP or s-AP in the case of s dimensions) is an extension of the well-known assignment problem. The most studied case of MAP is 3-AP, though the problems with larger values of s have also a number of…

Data Structures and Algorithms · Computer Science 2010-03-30 Gregory Gutin , Daniel Karapetyan

The two-dimensional layout optimization problem reinforced by the efficient space utilization demand has a wide spectrum of practical applications. Formulating the problem as a nonlinear minimization problem under planar equality and/or…

Data Structures and Algorithms · Computer Science 2009-02-19 Dorit Ron , Ilya Safro , Achi Brandt

We investigate a real-life air cargo loading problem which is a variant of the three-dimensional Variable Size Bin Packing Problem with special bin forms of cuboid and non-cuboid unit load devices (ULDs). Packing is constrained by…

Optimization and Control · Mathematics 2024-10-03 Katrin Heßler , Timo Hintsch , Lukas Wienkamp

This paper discusses the theory and numerical method of two-scale analysis for the multiscale Landau-Lifshitz-Gilbert equation in composite ferromagnetic materials. The novelty of this work can be summarized in three aspects: Firstly, the…

Numerical Analysis · Mathematics 2024-03-25 Xiaofei Guan , Hang Qi , Zhiwei Sun

Higher-dimensional orthogonal packing problems have a wide range of practical applications, including packing, cutting, and scheduling. Combining the use of our data structure for characterizing feasible packings with our new classes of…

Data Structures and Algorithms · Computer Science 2007-05-23 Sandor P. Fekete , Joerg Schepers , Jan C. van der Veen

We consider the range mode problem where given a sequence and a query range in it, we want to find items with maximum frequency in the range. We give time- and space- efficient algorithms for this problem. Our algorithms are efficient for…

Data Structures and Algorithms · Computer Science 2019-07-26 Kentaro Sumigawa , Sankardeep Chakraborty , Kunihiko Sadakane , Srinivasa Rao Satti

We consider the problem of computing a sequence of range minimum queries. We assume a sequence of commands that contains values and queries. Our goal is to quickly determine the minimum value that exists between the current position and a…

Data Structures and Algorithms · Computer Science 2021-02-19 Luís M. S. Russo

The skyline of a set $P$ of points ($SKY(P)$) consists of the "best" points with respect to minimization or maximization of the attribute values. A point $p$ dominates another point $q$ if $p$ is as good as $q$ in all dimensions and it is…

Path planning in the presence of dynamic obstacles is a challenging problem due to the added time dimension in search space. In approaches that ignore the time dimension and treat dynamic obstacles as static, frequent re-planning is…

Robotics · Computer Science 2016-05-24 Anirudh Vemula , Katharina Muelling , Jean Oh

While load balancing in distributed-memory computing has been well-studied, we present an innovative approach to this problem: a unified, reduced-order model that combines three key components to describe "work" in a distributed system:…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-26 Jonathan Lifflander , Philippe P. Pebay , Nicole L. Slattengren , Pierre L. Pebay , Robert A. Pfeiffer , Joseph D. Kotulski , Sean T. McGovern

3-D cross point phase change memory (PCM) is a promising emerging memory. However, dynamic performances of 3-D cross point PCM are limited and the role of bias scheme is unknown. Previous studies on bias schemes for planar memories use…

Emerging Technologies · Computer Science 2019-06-06 Yu Lei , Meng Liu , Houpeng Chen , Xi Li , Qian Wang , Zhitang Song
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