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Perfect hash functions give unique "names" to arbitrary keys requiring only a few bits per key. This is an essential building block in applications like static hash tables, databases, or bioinformatics. This paper introduces the PHast…

Data Structures and Algorithms · Computer Science 2025-10-23 Piotr Beling , Peter Sanders

Recently, there has been considerable progress on designing algorithms with provable guarantees -- typically using linear algebraic methods -- for parameter learning in latent variable models. But designing provable algorithms for inference…

Machine Learning · Computer Science 2016-05-30 Sanjeev Arora , Rong Ge , Frederic Koehler , Tengyu Ma , Ankur Moitra

Fully Homomorphic Encryption (FHE) is seeing increasing real-world deployment to protect data in use by allowing computation over encrypted data. However, the same malleability that enables homomorphic computations also raises integrity…

Cryptography and Security · Computer Science 2023-02-14 Alexander Viand , Christian Knabenhans , Anwar Hithnawi

Storing data on an external server with information-theoretic security, while using a key shorter than the data itself, is impossible. As an alternative, we propose a scheme that achieves information-theoretically secure tamper evidence:…

Quantum Physics · Physics 2022-01-25 Bart van der Vecht , Xavier Coiteux-Roy , Boris Skoric

A tabulation-based hash function maps a key into d derived characters indexing random values in tables that are then combined with bitwise xor operations to give the hash. Thorup and Zhang (2004) presented d-wise independent…

Data Structures and Algorithms · Computer Science 2011-12-15 Toryn Qwyllyn Klassen , Philipp Woelfel

Existential rules are a very popular ontology-mediated query language for which the chase represents a generic computational approach for query answering. It is straightforward that existential rule queries exhibiting chase termination are…

Logic in Computer Science · Computer Science 2021-07-19 Camille Bourgaux , David Carral , Markus Krötzsch , Sebastian Rudolph , Michaël Thomazo

Periodic point sets model all solid crystalline materials (crystals) whose atoms can be considered zero-sized points with or without atomic types. This paper addresses the fundamental problem of checking whether claimed crystals are novel,…

Computational Geometry · Computer Science 2025-10-03 Daniel E Widdowson , Vitaliy A Kurlin

These notes describe the most efficient hash functions currently known for hashing integers and strings. These modern hash functions are often an order of magnitude faster than those presented in standard text books. They are also simpler…

Data Structures and Algorithms · Computer Science 2020-05-12 Mikkel Thorup

A curious property of randomized log-space search algorithms is that their outputs are often longer than their workspace. This leads to the question: how can we reproduce the results of a randomized log space computation without storing the…

Computational Complexity · Computer Science 2018-03-14 Ofer Grossman , Yang P. Liu

Scalable ordered maps must ensure that range queries, which operate over many consecutive keys, provide intuitive semantics (e.g., linearizability) without degrading the performance of concurrent insertions and removals. These goals are…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-11 Matthew Rodriguez , Vitaly Aksenov , Michael Spear

Feature hashing, also known as {\em the hashing trick}, introduced by Weinberger et al. (2009), is one of the key techniques used in scaling-up machine learning algorithms. Loosely speaking, feature hashing uses a random sparse projection…

Machine Learning · Computer Science 2018-05-23 Casper Benjamin Freksen , Lior Kamma , Kasper Green Larsen

Current recommender systems employ large-sized embedding tables with uniform dimensions for all features, leading to overfitting, high computational cost, and suboptimal generalizing performance. Many techniques aim to solve this issue by…

Information Retrieval · Computer Science 2023-09-18 Yakun Yu , Shi-ang Qi , Jiuding Yang , Liyao Jiang , Di Niu

Proving the linearizability of highly concurrent data structures, such as those using optimistic concurrency control, is a challenging task. The main difficulty is in reasoning about the view of the memory obtained by the threads, because…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-07 Yotam M. Y. Feldman , Constantin Enea , Adam Morrison , Noam Rinetzky , Sharon Shoham

A central challenge in data security is not just preventing theft, but detecting whether it has occurred. Classically, this is impossible because a perfect copy leaves no evidence. Quantum mechanics, on the other hand, forbids general…

Cryptography and Security · Computer Science 2025-10-09 Vipul Goyal , Justin Raizes

Modern deep learning-based recommendation systems exploit hundreds to thousands of different categorical features, each with millions of different categories ranging from clicks to posts. To respect the natural diversity within the…

Machine Learning · Computer Science 2020-06-30 Hao-Jun Michael Shi , Dheevatsa Mudigere , Maxim Naumov , Jiyan Yang

Hashing aims at generating highly compact similarity preserving code words which are well suited for large-scale image retrieval tasks. Most existing hashing methods first encode the images as a vector of hand-crafted features followed by a…

Computer Vision and Pattern Recognition · Computer Science 2016-12-19 Sailesh Conjeti , Abhijit Guha Roy , Amin Katouzian , Nassir Navab

In the realm of big data and cloud computing, distributed systems are tasked with proficiently managing, storing, and validating extensive datasets across numerous nodes, all while maintaining robust data integrity. Conventional hashing…

Cryptography and Security · Computer Science 2025-07-30 Krishnendu Das

Our modern world relies on a growing number of interconnected and interacting devices, leading to a plethora of logs establishing audit trails for all kinds of events. Simultaneously, logs become increasingly important for forensic…

Cryptography and Security · Computer Science 2023-08-11 David Koisser , Ahmad-Reza Sadeghi

We demonstrate that learning procedures that rely on aggregated labels, e.g., label information distilled from noisy responses, enjoy robustness properties impossible without data cleaning. This robustness appears in several ways. In the…

Machine Learning · Statistics 2026-05-26 Chen Cheng , John Duchi

Persistent homology is a natural tool for probing the topological characteristics of weighted graphs, essentially focusing on their $0$-dimensional homology. While this area has been substantially studied, we present a new approach to…

Algebraic Topology · Mathematics 2023-10-03 Omer Bobrowski , Primoz Skraba