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In this thesis, we study the properties of String theory amplitudes within the framework of Intersection Theory (IT) for twisted (co)homology, which, as recently proposed, offered a novel approach to analyze relations between scattering…

高能物理 - 理论 · 物理学 2024-03-18 Anthony Massidda

Finding desired information from large data set is a difficult problem. Information retrieval is concerned with the structure, analysis, organization, storage, searching, and retrieval of information. Index is the main constituent of an IR…

信息检索 · 计算机科学 2012-09-26 Md. Abdullah al Mamun , Md. Hanif , Md. Rakib Uddin , Tanvir Ahmed , Md. Mofizul Islam

A twist is a datum playing a role of a local system for topological $K$-theory. In equivariant setting, twists are classified into four types according to how they are realized geometrically. This paper lists the possible types of twists…

代数拓扑 · 数学 2017-03-09 Kiyonori Gomi

Advances in reverse engineering make it challenging to deploy any on-chip information in a way that is hidden from a determined attacker. A variety of techniques have been proposed for design obfuscation including look-alike cells in which…

密码学与安全 · 计算机科学 2017-10-26 Shahrzad Keshavarz , Daniel Holcomb

In recent years, the rapid growth of security vulnerabilities poses great challenges to tracing and managing them. For example, it was reported that the NVD database experienced significant delays due to the shortage of maintainers. Such…

密码学与安全 · 计算机科学 2024-11-19 Xueqing Liu , Yuchen Xiong , Qiushi Liu , Jiangrui Zheng

Exploring the symmetries underlying a previously proposed encryption scheme which relies on single-qubit rotations, we derive an improved upper bound on the maximum information that an eavesdropper might extract from all the available…

量子物理 · 物理学 2012-03-02 U. Seyfarth , G. M. Nikolopoulos , G. Alber

Determining whether an unordered collection of overlapping substrings (called shingles) can be uniquely decoded into a consistent string is a problem that lies within the foundation of a broad assortment of disciplines ranging from…

离散数学 · 计算机科学 2012-04-17 Aryeh Kontorovich , Ari Trachtenberg

Tightness is a generalisation of the notion of convexity: a space is tight if and only if it is "as convex as possible", given its topological constraints. For a simplicial complex, deciding tightness has a straightforward exponential time…

计算几何 · 计算机科学 2018-10-24 Bhaskar Bagchi , Benjamin A. Burton , Basudeb Datta , Nitin Singh , Jonathan Spreer

Recently, Bojikian and Kratsch [2023] have presented a novel approach to tackle connectivity problems parameterized by clique-width ($\operatorname{cw}$), based on counting small representations of partial solutions (modulo two). Using this…

数据结构与算法 · 计算机科学 2024-02-27 Narek Bojikian , Stefan Kratsch

Twists are defects in the lattice that can be used to perform encoded computations. Three basic types of twists can be introduced in color codes, namely, twists that permute color, charge of anyons and domino twists that permute the charge…

量子物理 · 物理学 2021-07-19 Manoj G. Gowda , Pradeep Kiran Sarvepalli

This paper proposes an alternative approach to formally establishing the correctness of the RSA public key cryptosystem. The methodology presented herein deviates slightly from conventional proofs found in existing literature. Specifically,…

密码学与安全 · 计算机科学 2026-01-01 Dar-jen Chang , Suranjan Gautam

Strong attacks against quantum key distribution use quantum memories and quantum gates to attack directly the final key. In this paper we extend a novel security result recently obtained, to demonstrate proofs of security against a wide…

量子物理 · 物理学 2008-02-03 E. Biahm , T. Mor

The hashing trick is a machine learning technique used to encode categorical features into a numerical vector representation of pre-defined fixed length. It works by using the categorical hash values as vector indices, and updating the…

机器学习 · 计算机科学 2021-02-09 M. Andrecut

In this paper we consider several variants of the pattern matching problem. In particular, we investigate the following problems: 1) Pattern matching with k mismatches; 2) Approximate counting of mismatches; and 3) Pattern matching with…

数据结构与算法 · 计算机科学 2013-07-05 Marius Nicolae , Sanguthevar Rajasekaran

The question that is a motivation of writing is how many devote themselves to discovering something in the world of science where much is discerned and revealed, but at the same time, much is unknown. The insightful elements of this…

计算工程、金融与科学 · 计算机科学 2024-03-05 Diogen Babuc

We offer ShiftConvolvePoibin, a fast exact method to compute the tail of a Poisson-Binomial distribution (PBD). Our method employs an exponential shift to retain its accuracy when computing a tail probability, and in practice we find that…

统计方法学 · 统计学 2020-04-17 Noah Peres , Andrew Lee , Uri Keich

Hashing has emerged as a popular technique for large-scale similarity search. Most learning-based hashing methods generate compact yet correlated hash codes. However, this redundancy is storage-inefficient. Hence we propose a lossless…

计算机视觉与模式识别 · 计算机科学 2016-03-18 Honghai Yu , Pierre Moulin , Hong Wei Ng , Xiaoli Li

Cryptographic security of quantum key distribution is currently based on a trace distance criterion. The widespread misinterpretation of the criterion as failure probability and also its actual scope have been discussed previously. Recently…

量子物理 · 物理学 2014-10-28 Horace Yuen

In a previous work it was shown that the best measure for the efficiency of a single burst-correcting code is obtained using the Gallager bound as opposed to the Reiger bound. In this paper, an efficient algorithm that searches for the best…

Given a finite alphabet $A$, a quasi-metric $d$ over $A^*$, and a non-negative integer $k$, we introduce the relation $\tau_{d,k}\subseteq A^*\times A^*$ such that $(x,y)\in\tau_{d,k}$ holds whenever $d(x,y)\le k$. The error detection…

离散数学 · 计算机科学 2023-09-06 Jean Néraud