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As a crucial technique for integrated circuits (IC) test response compaction, $X$-compact employs a special kind of codes called $X$-codes for reliable compressions of the test response in the presence of unknown logic values ($X$s). From a…

Information Theory · Computer Science 2021-01-26 Xiangliang Kong , Xin Wang , Gennian Ge

We provide a general formulation for the code-based test compression problem with fixed-length input blocks and propose a solution approach based on Evolutionary Algorithms. In contrast to existing code-based methods, we allow unspecified…

Hardware Architecture · Computer Science 2011-11-09 Ilia Polian , Alejandro Czutro , Bernd Becker

X-codes form a special class of linear maps which were originally introduced for data compression in VLSI testing and are also known to give special parity-check matrices for linear codes suitable for error-erasure channels. In the context…

Information Theory · Computer Science 2024-09-18 Yu Tsunoda , Yuichiro Fujiwara

Generally, combinatorial design concerns with the arrangement of a finite set of elements into patterns (subsets, words, arrays) according to specified rules. The usefulness of this design method is that the number of input combination can…

Networking and Internet Architecture · Computer Science 2018-04-24 Bestoun S. Ahmed , Amin S. Mohammad , Hemin T. Essa

Assume that a graph $G$ models a detection system for a facility with a possible ``intruder," or a multiprocessor network with a possible malfunctioning processor. We consider the problem of placing detectors at a subset of vertices in $G$…

Combinatorics · Mathematics 2022-08-15 Devin Jean , Suk Seo

Deep learning (DL) has achieved remarkable progress over the past decade and been widely applied to many safety-critical applications. However, the robustness of DL systems recently receives great concerns, such as adversarial examples…

Software Engineering · Computer Science 2018-06-21 Lei Ma , Fuyuan Zhang , Minhui Xue , Bo Li , Yang Liu , Jianjun Zhao , Yadong Wang

We propose a new family of combinatorial inference problems for graphical models. Unlike classical statistical inference where the main interest is point estimation or parameter testing, combinatorial inference aims at testing the global…

Statistics Theory · Mathematics 2018-02-14 Matey Neykov , Junwei Lu , Han Liu

Achieving fault-tolerance will require a strong relationship between the hardware and the protocols used. Different approaches will therefore naturally have tailored proof-of-principle experiments to benchmark progress. Nevertheless,…

Quantum Physics · Physics 2024-05-28 Milan Liepelt , Tommaso Peduzzi , James R. Wootton

This paper presents a novel method to identify and insert redundant logic into a combinational circuit to improve its fault tolerance without having to replicate the entire circuit as is the case with conventional redundancy techniques. In…

Hardware Architecture · Computer Science 2017-07-24 P Balasubramanian , R T Naayagi

We believe that we can exploit the benefits of combinatorial interaction testing (CIT) on many "non-traditional" combinatorial spaces using many "non-traditional" coverage criteria. However, this requires truly flexible CIT approaches. To…

Software Engineering · Computer Science 2016-02-23 Hanefi Mercan , Cemal Yilmaz

Assume that a graph $G$ models a detection system for a facility with a possible "intruder," or a multiprocessor network with a possible malfunctioning processor. We consider the problem of placing (the minimum number of) detectors at a…

Discrete Mathematics · Computer Science 2022-04-26 Devin Jean , Suk Seo

The Distributed Constraint Optimization Problem (DCOP) formulation is a powerful tool to model cooperative multi-agent problems that need to be solved distributively. A core assumption of existing approaches is that DCOP solutions can be…

Artificial Intelligence · Computer Science 2025-02-21 Ben Rachmut , Stylianos Loukas Vasileiou , Nimrod Meir Weinstein , Roie Zivan , William Yeoh

In the long-studied problem of combinatorial group testing, one is asked to detect a set of $k$ defective items out of a population of size $n$, using $m \ll n$ disjunctive measurements. In the non-adaptive setting, the most widely used…

Information Theory · Computer Science 2020-09-28 Mahdi Cheraghchi , Vasileios Nakos

Error-correcting codes over the real field are studied which can locate outlying computational errors when performing approximate computing of real vector--matrix multiplication on resistive crossbars. Prior work has concentrated on…

Information Theory · Computer Science 2024-02-22 Hengjia Wei , Ron M. Roth

Split-plot designs find wide applicability in multifactor experiments with randomization restrictions. Practical considerations often warrant the use of unbalanced designs. This paper investigates randomization based causal inference in…

Methodology · Statistics 2019-06-21 Rahul Mukerjee , Tirthankar Dasgupta

As a type of search design, a detecting array can be used to generate test suites to identify and detect faults caused by interactions of factors in a component-based system. Recently, the construction and optimality of detecting arrays…

Statistics Theory · Mathematics 2014-08-15 Ce Shi , Yu Tang , Jianxing Yin

In order to achieve fault tolerance, highly reliable system often require the ability to detect errors as soon as they occur and prevent the speared of erroneous information throughout the system. Thus, the need for codes capable of…

Information Theory · Computer Science 2010-02-08 Muzhir Al-Ani , Qeethara Al-Shayea

When modeling an application of practical relevance as an instance of a combinatorial problem X, we are often interested not merely in finding one optimal solution for that instance, but in finding a sufficiently diverse collection of good…

Data Structures and Algorithms · Computer Science 2026-02-19 Julien Baste , Michael R. Fellows , Lars Jaffke , Tomáš Masařík , Mateus de Oliveira Oliveira , Geevarghese Philip , Frances A. Rosamond

We propose a novel, fully explainable neural approach to synthesis of combinatorial logic circuits from input-output examples. The carrying advantage of our method is that it readily extends to inductive scenarios, where the set of examples…

Machine Learning · Computer Science 2022-11-01 Peter Belcak , Roger Wattenhofer

We formalize a problem we call combinatorial pair testing (CPT), which has applications to the identification of uncooperative or unproductive participants in pair programming, massively distributed computing, and crowdsourcing…

Data Structures and Algorithms · Computer Science 2013-05-02 David Eppstein , Michael T. Goodrich , Daniel S. Hirschberg
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