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Cardinality estimation has long been grounded in statistical tools for density estimation. To capture the rich multivariate distributions of relational tables, we propose the use of a new type of high-capacity statistical model: deep…

Submodular maximization with a cardinality constraint can model various problems, and those problems are often very large in practice. For the case where objective functions are monotone, many fast approximation algorithms have been…

Data Structures and Algorithms · Computer Science 2020-01-13 Shinsaku Sakaue

In this work we propose a goal reasoning method which learns to select subgoals with Deep Q-Learning in order to decrease the load of a planner when faced with scenarios with tight time restrictions, such as online execution systems. We…

Artificial Intelligence · Computer Science 2020-12-24 Carlos Núñez-Molina , Vladislav Nikolov , Ignacio Vellido , Juan Fernández-Olivares

Quasi-Bayesian theory uses convex sets of probability distributions and expected loss to represent preferences about plans. The theory focuses on decision robustness, i.e., the extent to which plans are affected by deviations in subjective…

Artificial Intelligence · Computer Science 2016-11-04 Fabio Gagliardi Cozman , Eric Krotkov

For the problem of maximizing a monotone, submodular function with respect to a cardinality constraint $k$ on a ground set of size $n$, we provide an algorithm that achieves the state-of-the-art in both its empirical performance and its…

Data Structures and Algorithms · Computer Science 2024-08-20 Yixin Chen , Tonmoy Dey , Alan Kuhnle

Cardinality-constrained optimization (CCO) is a popular topic in sparse learning and signal recovery, yet remains challenging due to the inherent nonconvexity and discontinuity of cardinality constraints. This paper investigates the exact…

Optimization and Control · Mathematics 2026-05-19 Lili Pan , Huilin Xie , Xianchao Xiu , Jiyuan Tao

Bayesian optimization is a coherent, ubiquitous approach to decision-making under uncertainty, with applications including multi-arm bandits, active learning, and black-box optimization. Bayesian optimization selects decisions (i.e.…

Machine Learning · Computer Science 2023-12-13 Samuel Stanton , Wesley Maddox , Andrew Gordon Wilson

Modern data analytic and machine learning jobs find in the cloud a natural deployment platform to satisfy their notoriously large resource requirements. Yet, to achieve cost efficiency, it is crucial to identify a deployment configuration…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-22 Maria Casimiro , Diego Didona , Paolo Romano , Luís Rodrigues , Willy Zwanepoel , David Garlan

Mining subgraphs with interesting structural properties from networks (or graphs) is a computationally challenging task. In this paper, we propose two algorithms for enumerating all connected induced subgraphs of a given cardinality from…

Data Structures and Algorithms · Computer Science 2023-03-17 Shanshan Wang , Chenglong Xiao

Many decision-making processes involve solving a combinatorial optimization problem with uncertain input that can be estimated from historic data. Recently, problems in this class have been successfully addressed via end-to-end learning…

Machine Learning · Computer Science 2021-07-07 Maxime Mulamba , Jayanta Mandi , Michelangelo Diligenti , Michele Lombardi , Victor Bucarey , Tias Guns

Seeking tighter relaxations of combinatorial optimization problems, semidefinite programming is a generalization of linear programming that offers better bounds and is still polynomially solvable. Yet, in practice, a semidefinite program is…

Optimization and Control · Mathematics 2023-11-17 Daniel Porumbel

We introduce a novel framework for analyzing sorting algorithms in pairwise ranking prompting (PRP), re-centering the cost model around LLM inferences rather than traditional pairwise comparisons. While classical metrics based on comparison…

Computation and Language · Computer Science 2025-06-02 Juan Wisznia , Cecilia Bolaños , Juan Tollo , Giovanni Marraffini , Agustín Gianolini , Noe Hsueh , Luciano Del Corro

Cardinality estimation (CardEst) is essential for optimizing query execution plans. Recent ML-based CardEst methods achieve high accuracy but face deployment challenges due to high preparation costs and lack of transferability across…

Databases · Computer Science 2025-08-25 Tianjing Zeng , Junwei Lan , Jiahong Ma , Wenqing Wei , Rong Zhu , Pengfei Li , Bolin Ding , Defu Lian , Zhewei Wei , Jingren Zhou

Cardinality estimation algorithms receive a stream of elements, with possible repetitions, and return the number of distinct elements in the stream. Such algorithms seek to minimize the required memory and CPU resource consumption at the…

Networking and Internet Architecture · Computer Science 2019-03-15 Reuven Cohen , Yuval Nezri

Most existing parametric query optimization (PQO) techniques rely on traditional query optimizer cost models, which are often inaccurate and result in suboptimal query performance. We propose Kepler, an end-to-end learning-based approach to…

Cardinality estimation is a key component of database query optimization. Recent studies have demonstrated that learned cardinality estimation techniques can surpass traditional methods in accuracy. However, a significant barrier to their…

Databases · Computer Science 2025-12-30 Lyu Yi , Weiqi Feng , Yuanbiao Wang , Yuhong Kan

The problem of monotone submodular maximization has been studied extensively due to its wide range of applications. However, there are cases where one can only access the objective function in a distorted or noisy form because of the…

Data Structures and Algorithms · Computer Science 2022-10-24 Lingxiao Huang , Yuyi Wang , Chunxue Yang , Huanjian Zhou

Query plans are compared according to multiple cost metrics in multi-objective query optimization. The goal is to find the set of Pareto plans realizing optimal cost tradeoffs for a given query. So far, only algorithms with exponential…

Databases · Computer Science 2016-03-02 Immanuel Trummer , Christoph Koch

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

Cardinality constraints in optimization are commonly of $L^0$-type, and they lead to sparsely supported optimizers. An efficient way of dealing with these constraints algorithmically, when the objective functional is convex, is…

Optimization and Control · Mathematics 2026-02-26 Bastian Dittrich , Evelyn Herberg , Roland Herzog , Georg Müller
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