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Models such as finite state automata are widely used to abstract the behavior of software systems by capturing the sequences of events observable during their execution. Nevertheless, models rarely exist in practice and, when they do, get…

Software Engineering · Computer Science 2024-08-20 Donato Clun , Donghwan Shin , Antonio Filieri , Domenico Bianculli

Generative models aim to learn the distribution of datasets, such as images, so as to be able to generate samples that statistically resemble real data. However, learning the underlying probability distribution can be very challenging and…

Machine Learning · Computer Science 2024-09-20 Zeyang Yu , Shengxi Li , Danilo Mandic

Cardinality estimation is the task of approximating the number of distinct elements in a large dataset with possibly repeating elements. LogLog and HyperLogLog (c.f. Durand and Flajolet [ESA 2003], Flajolet et al. [Discrete Math Theor.…

Data Structures and Algorithms · Computer Science 2020-08-19 Aleksander Łukasiewicz , Przemysław Uznański

Cardinality estimation and conjunctive query evaluation are two of the most fundamental problems in database query processing. Recent work proposed, studied, and implemented a robust and practical information-theoretic cardinality…

Databases · Computer Science 2025-04-04 Sungjin Im , Benjamin Moseley , Hung Q. Ngo , Kirk Pruhs

Cardinality estimation is a fundamental problem in database systems. To capture the rich joint data distributions of a relational table, most of the existing work either uses data as unsupervised information or uses query workload as…

Databases · Computer Science 2021-07-28 Peizhi Wu , Gao Cong

The cumulative distribution function (CDF) of the doubly non-central beta distribution can be expressed as an infinite double series. By truncating the sum of this series, one can obtain an approximate value of the CDF. Although numerous…

Numerical Analysis · Mathematics 2025-09-08 Han Li , Fangfang Ma , Junjie Wang , Yinhua Tian , Baoli Dai , Tianyan Dong

The estimation of cumulative distribution functions (CDF) and probability density functions (PDF) is a fundamental practice in applied statistics. However, challenges often arise when dealing with data arranged in grouped intervals. In this…

Methodology · Statistics 2023-09-25 Ejike R. Ugba , Jan Gertheiss

Software is becoming an indigenous part of human life with the rapid development of software engineering, demands the software to be most reliable. The reliability check can be done by efficient software testing methods using historical…

Software Engineering · Computer Science 2023-11-13 Mrutyunjaya Panda

We propose a novel sampling-based federated learning framework for statistical inference on M-estimators with non-smooth objective functions, which frequently arise in modern statistical applications such as quantile regression and AUC…

Methodology · Statistics 2025-05-06 Xiudi Li , Lu Tian , Tianxi Cai

There is a growing demand for supporting inference queries that combine Structured Query Language (SQL) and Artificial Intelligence / Machine Learning (AI/ML) model inferences in database systems, to avoid data denormalization and transfer,…

Databases · Computer Science 2026-03-02 Lixi Zhou , Kanchan Chowdhury , Lulu Xie , Jaykumar Tandel , Hong Guan , Zhiwei Fan , Xinwei Fu , Jia Zou

In this work, we discuss a general class of the estimators for the cumulative distribution function (CDF) based on judgment post stratification (JPS) sampling scheme which includes both empirical and kernel distribution functions.…

Methodology · Statistics 2024-05-03 Mina Azizi Kouhanestani , Ehsan Zamanzade , Sareh Goli

Deploying artificial intelligence (AI) models on edge devices involves a delicate balance between meeting stringent complexity constraints, such as limited memory and energy resources, and ensuring reliable performance in sensitive…

Machine Learning · Computer Science 2025-10-02 Jiayi Huang , Sangwoo Park , Nicola Paoletti , Osvaldo Simeone

We develop general methods to obtain fast (polynomial time) estimates of the cardinality of a combinatorially defined set via solving some randomly generated optimization problems on the set. Geometrically, we estimate the cardinality of a…

Combinatorics · Mathematics 2007-05-23 Alexander Barvinok , Alex Samorodnitsky

Gradient-based methods are well-suited for derivative-free optimization (DFO), where finite-difference (FD) estimates are commonly used as gradient surrogates. Traditional stochastic approximation methods, such as Kiefer-Wolfowitz (KW) and…

Optimization and Control · Mathematics 2025-03-03 Guo Liang , Guangwu Liu , Kun Zhang

We construct neural network regression models to predict key metrics of complexity for Gr\"obner bases of binomial ideals. This work illustrates why predictions with neural networks from Gr\"obner computations are not a straightforward…

Commutative Algebra · Mathematics 2025-08-28 Shahrzad Jamshidi , Eric Kang , Sonja Petrović

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

Unreliable cardinality estimation remains a critical performance bottleneck in database management systems (DBMSs). Adaptive Query Processing (AQP) strategies address this limitation by providing a more robust query execution mechanism.…

Databases · Computer Science 2025-11-21 Pei Mu , Anderson Chaves Carniel , Antonio Barbalace , Amir Shaikhha

Conformal prediction provides distribution-free predictive intervals with finite-sample marginal coverage. However, achieving conditional validity and interval efficiency (in terms of short interval length) remains challenging, particularly…

Machine Learning · Statistics 2026-05-06 Ran Zou , Wanrong Zhu , Bin Nan

Query Optimization remains an open problem for Big Data Management Systems. Traditional optimizers are cost-based and use statistical estimates of intermediate result cardinalities to assign costs and pick the best plan. However, such…

Databases · Computer Science 2020-10-07 Christina Pavlopoulou , Michael J. Carey , Vassilis J. Tsotras

We present a novel approach for learning to predict sets using deep learning. In recent years, deep neural networks have shown remarkable results in computer vision, natural language processing and other related problems. Despite their…

Computer Vision and Pattern Recognition · Computer Science 2017-11-23 S. Hamid Rezatofighi , Anton Milan , Qinfeng Shi , Anthony Dick , Ian Reid
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