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Related papers: Collision-resistant hash-shuffles on the reals

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We show that a randomly chosen linear map over a finite field gives a good hash function in the $\ell_\infty$ sense. More concretely, consider a set $S \subset \mathbb{F}_q^n$ and a randomly chosen linear map $L : \mathbb{F}_q^n \to…

Combinatorics · Mathematics 2024-08-07 Manik Dhar , Zeev Dvir

Minwise hashing is a fundamental and one of the most successful hashing algorithm in the literature. Recent advances based on the idea of densification~\cite{Proc:OneHashLSH_ICML14,Proc:Shrivastava_UAI14} have shown that it is possible to…

Data Structures and Algorithms · Computer Science 2017-03-16 Anshumali Shrivastava

The study of hashing is closely related to the analysis of balls and bins. It is well-known that instead of using a single hash function if we randomly hash a ball into two bins and place it in the smaller of the two, then this dramatically…

Data Structures and Algorithms · Computer Science 2007-05-23 Rina Panigrahy

A {\em cyclic graph} is a graph with at each vertex a cyclic order of the edges incident with it specified. We characterize which real-valued functions on the collection of cubic cyclic graphs are partition functions of a real vertex model…

Quantum Algebra · Mathematics 2016-08-02 Guus Regts , Alexander Schrijver , Bart Sevenster

We describe a variant of linear probing hash tables that never moves elements and thus supports referential integrity, i.e., pointers to elements remain valid while this element is in the hash table. This is achieved by the folklore method…

Data Structures and Algorithms · Computer Science 2018-08-15 Peter Sanders

Hyperplane hashing aims at rapidly searching nearest points to a hyperplane, and has shown practical impact in scaling up active learning with SVMs. Unfortunately, the existing randomized methods need long hash codes to achieve reasonable…

Machine Learning · Computer Science 2012-06-22 Wei Liu , Jun Wang , Yadong Mu , Sanjiv Kumar , Shih-Fu Chang

With the growth of image on the web, research on hashing which enables high-speed image retrieval has been actively studied. In recent years, various hashing methods based on deep neural networks have been proposed and achieved higher…

Computer Vision and Pattern Recognition · Computer Science 2019-05-23 Yosuke Kaga , Masakazu Fujio , Kenta Takahashi , Tetsushi Ohki , Masakatsu Nishigaki

Existing work in multi-agent collision prediction and avoidance typically assumes discrete-time trajectories with Gaussian uncertainty or that are completely deterministic. We propose an approach that allows detection of collisions even…

Artificial Intelligence · Computer Science 2014-05-13 Jan-Peter Calliess , Michael Osborne , Stephen Roberts

We study a class of realistic computer vision settings wherein one can influence the design of the objects being recognized. We develop a framework that leverages this capability to significantly improve vision models' performance and…

Computer Vision and Pattern Recognition · Computer Science 2020-12-23 Hadi Salman , Andrew Ilyas , Logan Engstrom , Sai Vemprala , Aleksander Madry , Ashish Kapoor

Vulnerability of dedicated hash functions to various attacks has made the task of designing hash function much more challenging. This provides us a strong motivation to design a new cryptographic hash function viz. HF-hash. This is a hash…

Cryptography and Security · Computer Science 2010-07-21 Dhananjoy Dey , Prasanna Raghaw Mishra , Indranath Sengupta

Using a new technique involving integration it is possible to find the exact roots of simple functions. In this case, simple functions are defined as smooth functions having an inverse, and that inverse having an antiderivative. This…

General Mathematics · Mathematics 2014-11-13 Judah Francis Unmuth-Yockey

The ring of locally-constant integer-valued functions on the dominant chamber of the Shi arrangement is endowed with a filtration and a new basis, compatible with this filtration, is found. This basis is compared to the trivial basis. The…

Combinatorics · Mathematics 2007-05-23 Frederic Chapoton

Regular colored graphs are dual representations of pure colored D-dimensional complexes. These graphs can be classified with respect to an integer, their degree, much like maps are characterized by the genus. We analyse the structure of…

Combinatorics · Mathematics 2016-02-02 Razvan Gurau , Gilles Schaeffer

Many different approaches for neural network based hash functions have been proposed. Statistical analysis must correlate security of them. This paper proposes novel neural hashing approach for gray scale image authentication. The suggested…

Cryptography and Security · Computer Science 2017-03-03 Yakup Kutlu , Apdullah Yayık

We consider sets and maps defined over an o-minimal structure over the reals, such as real semi-algebraic or subanalytic sets. A {\em monotone map} is a multi-dimensional generalization of a usual univariate monotone function, while the…

Logic · Mathematics 2013-08-19 Saugata Basu , Andrei Gabrielov , Nicolai Vorobjov

While current systems for autonomous robot navigation can produce safe and efficient motion plans in static environments, they usually generate suboptimal behaviors when multiple robots must navigate together in confined spaces. For…

Robotics · Computer Science 2022-09-29 Jin-Soo Park , Xuesu Xiao , Garrett Warnell , Harel Yedidsion , Peter Stone

Building on the functional-analytic framework of operator-valued kernels and un-truncated signature kernels, we propose a scalable, provably convergent signature-based algorithm for a broad class of high-dimensional, path-dependent hedging…

Functional Analysis · Mathematics 2025-02-06 Nicola Muca Cirone , Cristopher Salvi

We describe a method for approximating a single-variable function $f$ using persistence diagrams of sublevel sets of $f$ from height functions in different directions. We provide algorithms for the piecewise linear case and for the smooth…

Algebraic Topology · Mathematics 2023-02-10 Aina Ferrà , Carles Casacuberta , Oriol Pujol

We study completely asymmetric 2-channel exclusion processes in 1 dimension. It describes a two-way traffic flow with cars moving in opposite directions. The interchannel interaction makes cars slow down in the vicinity of approaching cars…

Statistical Mechanics · Physics 2008-11-26 H. -W. Lee , V. Popkov , D. Kim

Perceptual hashing algorithms (PHAs) are widely used for identifying illegal online content and are thus integral to various sensitive applications. However, due to their hasty deployment in real-world scenarios, their adversarial security…

Cryptography and Security · Computer Science 2024-12-09 Jordan Madden , Moxanki Bhavsar , Lhamo Dorje , Xiaohua Li