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Approximate integer programming is the following: For a convex body $K \subseteq \mathbb{R}^n$, either determine whether $K \cap \mathbb{Z}^n$ is empty, or find an integer point in the convex body scaled by $2$ from its center of gravity…

Optimization and Control · Mathematics 2024-04-10 Daniel Dadush , Friedrich Eisenbrand , Thomas Rothvoss

Proximity gaps and correlated agreement have become central tools in the analysis of interactive oracle proofs of proximity (IOPPs) and code-based SNARKs. Informally, a proximity-gap statement says that for a structured set of words -- such…

Information Theory · Computer Science 2026-05-11 Chen Yuan , Ruiqi Zhu

We suggest a new optical solution for solving the YES/NO version of the Exact Cover problem by using the massive parallelism of light. The idea is to build an optical device which can generate all possible solutions of the problem and then…

Hardware Architecture · Computer Science 2009-02-07 Mihai Oltean , Oana Muntean

Field experiments are often difficult and expensive to make. To bypass these issues, industrial companies have developed computational codes. These codes intend to be representative of the physical system, but come with a certain amount of…

Computation · Statistics 2019-03-26 Mathieu Carmassi , Pierre Barbillon , Merlin Keller , Eric Parent , Matthieu Chiodetti

The $k$-ExactCover problem is a parameterized version of the ExactCover problem, in which we are given a universe $U$, a collection $S$ of subsets of $U$, and an integer $k$, and the task is to determine whether $U$ can be partitioned into…

Computational Complexity · Computer Science 2019-05-21 Venkatesan Guruswami , Patrick Lin

As Deep Learning (DL) models are increasingly applied in safety-critical domains, ensuring their quality has emerged as a pressing challenge in modern software engineering. Among emerging validation paradigms, coverage-guided testing (CGT)…

Software Engineering · Computer Science 2025-07-02 Hongjing Guo , Chuanqi Tao , Zhiqiu Huang , Weiqin Zou

White-box test generator tools rely only on the code under test to select test inputs, and capture the implementation's output as assertions. If there is a fault in the implementation, it could get encoded in the generated tests. Tool…

Software Engineering · Computer Science 2019-05-21 David Honfi , Zoltan Micskei

Coherent lower previsions are general probabilistic models allowing incompletely specified probability distributions. However, for complete description of a coherent lower prevision -- even on finite underlying sample spaces -- an infinite…

Probability · Mathematics 2022-09-29 Damjan Škulj

Linear combinations of multinomial probabilities, such as those resulting from contingency tables, are of use when evaluating classification system performance. While large sample inference methods for these combinations exist, small sample…

Methodology · Statistics 2021-04-20 Katherine A. Batterton , Christine M. Schubert , Richard L. Warr

Code completion is a popular software development tool integrated into all major IDEs. Many neural language models have achieved promising results in completion suggestion prediction on synthetic benchmarks. However, a recent study When…

Software Engineering · Computer Science 2020-11-10 Gareth Ari Aye , Seohyun Kim , Hongyu Li

We study the problem of testing whether the missing values of a potentially high-dimensional dataset are Missing Completely at Random (MCAR). We relax the problem of testing MCAR to the problem of testing the compatibility of a collection…

Statistics Theory · Mathematics 2024-12-13 Alberto Bordino , Thomas B. Berrett

This chapter surveys the state of the art in code coverage from the perspective of test automation. Our aim is to describe and motivate the three most popular classes of glass box test coverage models, which are: control flow, logic and…

Software Engineering · Computer Science 2021-08-27 Karl Meinke

As Moore's Law gains diminish, software performance and efficiency become increasingly vital. Optimizing code efficiency is challenging, even for professional programmers. However, related research remains relatively scarce, and rigorously…

Software Engineering · Computer Science 2024-08-26 Yue Pan , Xiuting Shao , Chen Lyu

A covering integer program (CIP) is a mathematical program of the form: min {c^T x : Ax >= 1, 0 <= x <= u, x integer}, where A is an m x n matrix, and c and u are n-dimensional vectors, all having non-negative entries. In the online…

Data Structures and Algorithms · Computer Science 2012-05-02 Anupam Gupta , Viswanath Nagarajan

Encoding quantum information in a quantum error correction (QEC) code enhances protection against errors. Imperfection of quantum devices due to decoherence effects will limit the fidelity of quantum gate operations. In particular, neutral…

Quantum Physics · Physics 2026-03-03 J. J. Postema , S. J. J. M. F. Kokkelmans

This paper investigates the soft covering lemma under both the relative entropy and the total variation distance as the measures of deviation. The exact order of the expected deviation of the random i.i.d. code for the soft covering problem…

Information Theory · Computer Science 2019-02-22 Mohammad Hossein Yassaee

Code metrics are easy to define, but not so easy to justify. It is hard to prove that a metric is valid, i.e., that measured numerical values imply anything on the vaguely defined, yet crucial software properties such as complexity and…

Software Engineering · Computer Science 2012-01-17 Joseph Gil , Maayan Goldstein , Dany Moshkovich

Systematic application of software metric techniques can lead to significant improvements of the quality of a final software product. However, there is still the evident lack of wider utilization of software metrics techniques and tools due…

Software Engineering · Computer Science 2013-11-18 Gordana Rakic , Zoran Budimac

Code completion, a highly valuable topic in the software development domain, has been increasingly promoted for use by recent advances in large language models (LLMs). To date, visible LLM-based code completion frameworks such as GitHub…

Software Engineering · Computer Science 2023-05-09 Zongjie Li , Chaozheng Wang , Zhibo Liu , Haoxuan Wang , Dong Chen , Shuai Wang , Cuiyun Gao

Non-overlapping codes are block codes that have arisen in diverse contexts of computer science and biology. Applications typically require finding non-overlapping codes with large cardinalities, but the maximum size of non-overlapping codes…

Information Theory · Computer Science 2024-01-11 Lidija Stanovnik , Miha Moškon , Miha Mraz
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