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We consider the problem of noisy 1-bit matrix completion under an exact rank constraint on the true underlying matrix $M^*$. Instead of observing a subset of the noisy continuous-valued entries of a matrix $M^*$, we observe a subset of…

Machine Learning · Statistics 2015-02-25 Sonia Bhaskar , Adel Javanmard

The success of large language models (LLMs) can be attributed in part to their ability to efficiently store factual knowledge as key-value mappings within their MLP parameters. Recent work has proposed explicit weight constructions to build…

Machine Learning · Computer Science 2025-12-02 Owen Dugan , Roberto Garcia , Ronny Junkins , Jerry Liu , Dylan Zinsley , Sabri Eyuboglu , Atri Rudra , Chris Ré

The 32-bit hwb (hwb-n32 for short) problem is from equivalence checking that arises in combining two circuits computing the hidden weighted bit function. Since 2002, it remains still unsolvable in every SAT competition. This paper focuses…

Logic in Computer Science · Computer Science 2011-06-08 Jingchao Chen

The rapid growth of industrial technology, driven by automation, IoT, and cloud computing, has also increased the risk of cyberattacks, such as Man-in-the-Middle (MITM) attacks. A standard solution to protect data is using a Hardware…

Cryptography and Security · Computer Science 2024-09-17 Joshua Tito Amael , Jazi Eko Istiyanto , Oskar Natan

We investigate the existence of approximation algorithms for maximization of submodular functions, that run in fixed parameter tractable (FPT) time. Given a non-decreasing submodular set function $v: 2^X \to \mathbb{R}$ the goal is to…

Data Structures and Algorithms · Computer Science 2021-04-21 Piotr Skowron

Sum-rank Hamming codes are introduced in this work. They are essentially defined as the longest codes (thus of highest information rate) with minimum sum-rank distance at least $ 3 $ (thus one-error-correcting) for a fixed redundancy $ r $,…

Information Theory · Computer Science 2021-01-13 Umberto Martínez-Peñas

String matching is the problem of finding all the occurrences of a pattern in a text. We propose improved versions of the fast family of string matching algorithms based on hashing $q$-grams. The improvement consists of considering minimal…

Data Structures and Algorithms · Computer Science 2023-03-13 Thierry Lecroq

MinHash and SimHash are the two widely adopted Locality Sensitive Hashing (LSH) algorithms for large-scale data processing applications. Deciding which LSH to use for a particular problem at hand is an important question, which has no clear…

Computation · Statistics 2014-07-17 Anshumali Shrivastava , Ping Li

The remarkable achievements of machine learning techniques in analyzing discrete structures have drawn significant attention towards their integration into combinatorial optimization algorithms. Typically, these methodologies improve…

Artificial Intelligence · Computer Science 2024-02-07 Abdelrahman Hosny , Sherief Reda

Fault injection attacks represent a type of active, physical attack against cryptographic circuits. Various countermeasures have been proposed to thwart such attacks, the design and implementation of which are, however, intricate,…

Cryptography and Security · Computer Science 2023-07-04 Huiyu Tan , Pengfei Gao , Taolue Chen , Fu Song , Zhilin Wu

The ability of fast similarity search at large scale is of great importance to many Information Retrieval (IR) applications. A promising way to accelerate similarity search is semantic hashing which designs compact binary codes for a large…

Information Retrieval · Computer Science 2010-04-30 Dell Zhang , Jun Wang , Deng Cai , Jinsong Lu

CNF-based SAT and MaxSAT solvers are central to logic synthesis and verification systems. The increasing popularity of these constraint problems in electronic design automation encourages studies on different SAT problems and their…

Neural and Evolutionary Computing · Computer Science 2021-07-16 Feng Shi , Chonghan Lee , Mohammad Khairul Bashar , Nikhil Shukla , Song-Chun Zhu , Vijaykrishnan Narayanan

We consider a new construction of locality-sensitive hash functions for Hamming space that is \emph{covering} in the sense that is it guaranteed to produce a collision for every pair of vectors within a given radius $r$. The construction is…

Data Structures and Algorithms · Computer Science 2016-01-08 Rasmus Pagh

Constrained counting and sampling are two fundamental problems in Computer Science with numerous applications, including network reliability, privacy, probabilistic reasoning, and constrained-random verification. In constrained counting,…

Logic in Computer Science · Computer Science 2018-06-07 Kuldeep S. Meel

We present an extremely simple polynomial-space exponential-time $(1-\varepsilon)$-approximation algorithm for MAX-k-SAT that is (slightly) faster than the previous known polynomial-space $(1-\varepsilon)$-approximation algorithms by Hirsch…

Data Structures and Algorithms · Computer Science 2026-04-22 Harry Buhrman , Sevag Gharibian , Zeph Landau , François Le Gall , Norbert Schuch , Suguru Tamaki

The rising availability of digital music stipulates effective categorization and retrieval methods. Real world scenarios are characterized by mammoth music collections through pertinent and non-pertinent songs with reference to the user…

Information Retrieval · Computer Science 2014-01-14 Trisiladevi C. Nagavi , Nagappa U. Bhajantri

Memory-hard functions (MHF) are functions whose evaluation cost is dominated by memory cost. MHFs are egalitarian, in the sense that evaluating them on dedicated hardware (like FPGAs or ASICs) is not much cheaper than on off-the-shelf…

Cryptography and Security · Computer Science 2017-07-11 Joel Alwen , Jeremiah Blocki , Krzysztof Pietrzak

A synchronizing word of a deterministic finite complete automaton is a word whose action maps every state to a single one. Finding a shortest or a short synchronizing word is a central computational problem in the theory of synchronizing…

Formal Languages and Automata Theory · Computer Science 2022-07-13 Marek Szykuła , Adam Zyzik

Given a boolean formula $\Phi$(X, Y, Z), the Max\#SAT problem asks for finding a partial model on the set of variables X, maximizing its number of projected models over the set of variables Y. We investigate a strict generalization of…

Cryptography and Security · Computer Science 2023-09-13 Thomas Vigouroux , Marius Bozga , Cristian Ene , Laurent Mounier

Logic Encryption is one of the most popular hardware security techniques which can prevent IP piracy and illegal IC overproduction. It introduces obfuscation by inserting some extra hardware into a design to hide its functionality from…

Cryptography and Security · Computer Science 2018-01-17 Rajit Karmakar , Santanu Chatopadhyay , Rohit Kapur
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