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Query optimizer is at the heart of the database systems. Cost-based optimizer studied in this paper is adopted in almost all current database systems. A cost-based optimizer introduces a plan enumeration algorithm to find a (sub)plan, and…

Databases · Computer Science 2021-01-06 Hai Lan , Zhifeng Bao , Yuwei Peng

Cardinality estimation has long been crucial for cost-based database optimizers in identifying optimal query execution plans, attracting significant attention over the past decades. While recent advancements have significantly improved the…

Databases · Computer Science 2025-10-20 Renrui Li , Qingzhi Ma , Jiajie Xu , Lei Zhao , An Liu

The efficiency of Gr\"obner basis computation, the standard engine for solving systems of polynomial equations, depends on the choice of monomial ordering. Despite a near-continuum of possible monomial orders, most implementations rely on…

Symbolic Computation · Computer Science 2026-02-04 R. Caleb Bunch , Alperen A. Ergür , Melika Golestani , Jessie Tong , Malia Walewski , Yunus E. Zeytuncu

In recent years, research on learning with noisy labels has focused on devising novel algorithms that can achieve robustness to noisy training labels while generalizing to clean data. These algorithms often incorporate sophisticated…

Machine Learning · Computer Science 2023-07-12 Hui Kang , Sheng Liu , Huaxi Huang , Jun Yu , Bo Han , Dadong Wang , Tongliang Liu

In dynamic malware analysis, programs are classified as malware or benign based on their execution logs. We propose a concept of applying monotonic classification models to the analysis process, to make the trained model's predictions…

Cryptography and Security · Computer Science 2018-04-11 Alexander Chistyakov , Ekaterina Lobacheva , Alexander Shevelev , Alexey Romanenko

Deep metric learning aims to learn features relying on the consistency or divergence of class labels. However, in monocular depth estimation, the absence of a natural definition of class poses challenges in the leveraging of deep metric…

Computer Vision and Pattern Recognition · Computer Science 2024-12-31 Chunpu Liu , Guanglei Yang , Wangmeng Zuo , Tianyi Zan

Maximizing submodular functions has been increasingly used in many applications of machine learning, such as data summarization, recommendation systems, and feature selection. Moreover, there has been a growing interest in both submodular…

Data Structures and Algorithms · Computer Science 2023-11-08 Kiarash Banihashem , Leyla Biabani , Samira Goudarzi , MohammadTaghi Hajiaghayi , Peyman Jabbarzade , Morteza Monemizadeh

Maximizing a monotone submodular function under cardinality constraint $k$ is a core problem in machine learning and database with many basic applications, including video and data summarization, recommendation systems, feature extraction,…

Data Structures and Algorithms · Computer Science 2023-05-25 Kiarash Banihashem , Leyla Biabani , Samira Goudarzi , MohammadTaghi Hajiaghayi , Peyman Jabbarzade , Morteza Monemizadeh

Cardinality estimation is a fundamental task in database systems and plays a critical role in query optimization. Despite significant advances in learning-based cardinality estimation methods, most existing approaches remain difficult to…

Databases · Computer Science 2025-10-10 Xianghong Xu , Rong Kang , Xiao He , Lei Zhang , Jianjun Chen , Tieying Zhang

We survey optimization problems that involve the cardinality of variable vectors in constraints or the objective function. We provide a unified viewpoint on the general problem classes and models, and give concrete examples from diverse…

Optimization and Control · Mathematics 2022-08-09 Andreas M. Tillmann , Daniel Bienstock , Andrea Lodi , Alexandra Schwartz

Plotting a learner's average performance against the number of training samples results in a learning curve. Studying such curves on one or more data sets is a way to get to a better understanding of the generalization properties of this…

Machine Learning · Computer Science 2020-03-16 Marco Loog , Tom Viering , Alexander Mey

We consider the problem of deciding the satisfiability of quantifier-free formulas in the theory of finite sets with cardinality constraints. Sets are a common high-level data structure used in programming; thus, such a theory is useful for…

Logic in Computer Science · Computer Science 2023-06-22 Kshitij Bansal , Clark Barrett , Andrew Reynolds , Cesare Tinelli

The amount of training-data is one of the key factors which determines the generalization capacity of learning algorithms. Intuitively, one expects the error rate to decrease as the amount of training-data increases. Perhaps surprisingly,…

Machine Learning · Computer Science 2023-11-07 Olivier Bousquet , Amit Daniely , Haim Kaplan , Yishay Mansour , Shay Moran , Uri Stemmer

We present a detailed study of cardinality-aware top-$k$ classification, a novel approach that aims to learn an accurate top-$k$ set predictor while maintaining a low cardinality. We introduce a new target loss function tailored to this…

Machine Learning · Computer Science 2024-07-12 Corinna Cortes , Anqi Mao , Christopher Mohri , Mehryar Mohri , Yutao Zhong

Monotonicity reasoning is one of the important reasoning skills for any intelligent natural language inference (NLI) model in that it requires the ability to capture the interaction between lexical and syntactic structures. Since no test…

Computation and Language · Computer Science 2019-06-28 Hitomi Yanaka , Koji Mineshima , Daisuke Bekki , Kentaro Inui , Satoshi Sekine , Lasha Abzianidze , Johan Bos

We present a method to integrate Large Language Models (LLMs) and traditional tabular data classification techniques, addressing LLMs challenges like data serialization sensitivity and biases. We introduce two strategies utilizing LLMs for…

Machine Learning · Computer Science 2023-11-21 Max Zhu , Siniša Stanivuk , Andrija Petrovic , Mladen Nikolic , Pietro Lio

In this paper, we propose a global monotonicity consistency training strategy for quality assessment, which includes a differentiable, low-computation monotonicity evaluation loss function and a global perception training mechanism.…

Image and Video Processing · Electrical Eng. & Systems 2025-01-28 Yipeng Liu , Qi Yang , Yiling Xu

Recent advances in quantum computing have led to progress in exploring quantum applications across diverse fields, including databases and data management. This work presents a quantum machine learning model that tackles the challenge of…

Databases · Computer Science 2026-01-08 Valter Uotila

Typestate systems ensure many desirable properties of imperative programs, including initialization of object fields and correct use of stateful library interfaces. Abstract sets with cardinality constraints naturally generalize typestate…

Programming Languages · Computer Science 2013-02-14 Bruno Marnette , Viktor Kuncak , Martin Rinard

This paper studies the class of logarithmically completely monotonic (LCM) functions. These functions play an important role in characterising externally positive linear systems which find applications in important control problems such as…

Optimization and Control · Mathematics 2025-07-08 Hamed Taghavian , Ross Drummond , Mikael Johansson