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The Multilevel Monte Carlo (MLMC) method has proven to be an effective variance-reduction statistical method for Uncertainty Quantification (UQ) in Partial Differential Equation (PDE) models, combining model computations at different levels…

Mathematical Software · Computer Science 2023-05-24 Santiago Badia , Jerrad Hampton , Javier Principe

Consider a problem where 4k given vectors need to be partitioned into k clusters of four vectors each. A cluster of four vectors is called a quad, and the cost of a quad is the sum of the component-wise maxima of the four vectors in the…

Data Structures and Algorithms · Computer Science 2018-07-06 Annette M. C. Ficker , Thomas Erlebach , Matus Mihalak , Frits C. R. Spieksma

Ranking a set of samples based on subjectivity, such as the experience quality of streaming video or the happiness of images, has been a typical crowdsourcing task. Numerous studies have employed paired comparison analysis to solve…

Human-Computer Interaction · Computer Science 2023-02-24 Ming-Hung Wang , Chia-Yuan Zhang , Jia-Ru Song

The minimum cost flow problem is one of the most studied network optimization problems and appears in numerous applications. Some efficient algorithms exist for this problem, which are freely available in the form of libraries or software…

Machine Learning · Computer Science 2022-10-06 Philipp Herrmann , Anna Meyer , Stefan Ruzika , Luca E. Schäfer , Fabian von der Warth

Recently, it has been shown that the enumeration of Minimal Correction Subsets (MCS) of Boolean formulas allows solving Multi-Objective Boolean Optimization (MOBO) formulations. However, a major drawback of this approach is that most MCSs…

Artificial Intelligence · Computer Science 2022-04-15 Andreia P. Guerreiro , João Cortes , Daniel Vanderpooten , Cristina Bazgan , Inês Lynce , Vasco Manquinho , José Rui Figueira

Secure multi-party computation (SMC) techniques are increasingly becoming more efficient and practical thanks to many recent novel improvements. The recent work have shown that different protocols that are implemented using different…

Cryptography and Security · Computer Science 2016-05-03 Erman Pattuk , Murat Kantarcioglu , Huseyin Ulusoy , Bradley Malin

The research area of algorithms with predictions has seen recent success showing how to incorporate machine learning into algorithm design to improve performance when the predictions are correct, while retaining worst-case guarantees when…

Machine Learning · Computer Science 2022-12-06 Michael Dinitz , Sungjin Im , Thomas Lavastida , Benjamin Moseley , Sergei Vassilvitskii

We propose a model-based, automated, bottom-up approach for design, which is applicable to various physical domains, but in this work we focus on the electrical domain. This bottom-up approach is based on a meta-topology in which each link…

Optimization and Control · Mathematics 2023-02-17 Ion Matei , Maksym Zhenirovskyy , John Maxwell , Johan de Kleer

This paper considers large families of Markov chains (MCs) that are defined over a set of parameters with finite discrete domains. Such families occur in software product lines, planning under partial observability, and sketching of…

Logic in Computer Science · Computer Science 2019-03-27 Milan Ceska , Nils Jansen , Sebastian Junges , Joost-Pieter Katoen

The coupled cluster method (CCM) is a method of quantum many-body theory that may provide accurate results for the ground-state properties of lattice quantum spin systems even in the presence of strong frustration and for lattices of…

Strongly Correlated Electrons · Physics 2009-11-11 D. J. J. Farnell , J. Schulenburg , J. Richter , K. A. Gernoth

Since data is often stored in different sources, it needs to be integrated to gather a global view that is required in order to create value and derive knowledge from it. A critical step in data integration is schema matching which aims to…

Databases · Computer Science 2022-03-10 Benjamin Hättasch , Michael Truong-Ngoc , Andreas Schmidt , Carsten Binnig

We efficiently solve the optimal multi-dimensional mechanism design problem for independent bidders with arbitrary demand constraints when either the number of bidders is a constant or the number of items is a constant. In the first…

Computer Science and Game Theory · Computer Science 2011-12-20 Constantinos Daskalakis , S. Matthew Weinberg

We consider fast deterministic algorithms to identify the "best" linearly independent terms in multivariate mixtures and use them to compute, up to a user-selected accuracy, an equivalent representation with fewer terms. One algorithm…

Numerical Analysis · Mathematics 2019-02-20 Gregory Beylkin , Lucas Monzon , Xinshuo Yang

Finding a \emph{single} best solution is the most common objective in combinatorial optimization problems. However, such a single solution may not be applicable to real-world problems as objective functions and constraints are only…

Data Structures and Algorithms · Computer Science 2022-01-25 Tesshu Hanaka , Masashi Kiyomi , Yasuaki Kobayashi , Yusuke Kobayashi , Kazuhiro Kurita , Yota Otachi

Machine learning interatomic potentials (MLIPs) balance high accuracy and lower costs compared to density functional theory calculations, but their performance often depends on the size and diversity of training datasets. Large datasets…

Machine Learning · Computer Science 2025-11-14 Benjamin Yu , Vincenzo Lordi , Daniel Schwalbe-Koda

This paper presents Multi-Amdahl, a resource allocation analytical tool for heterogeneous systems. Our model includes multiple program execution segments, where each one is accelerated by a specific hardware unit. The acceleration speedup…

Hardware Architecture · Computer Science 2011-05-17 Tsahee Zidenberg , Isaac Keslassy , Uri Weiser

All digital devices have components that implement Boolean functions, mapping that component's input to its output. However, any fixed Boolean function can be implemented by an infinite number of circuits, all of which vary in their…

Statistical Mechanics · Physics 2026-02-24 Abhishek Yadav , Mahran Yousef , David Wolpert

This paper is concerned with algorithms and applications of decreasing minimization on an M-convex set, which is the set of integral elements of an integral base-polyhedron. Based on a recent characterization of decreasingly minimal…

Combinatorics · Mathematics 2021-07-19 András Frank , Kazuo Murota

Hamiltonian Monte Carlo (HMC) is a popular Markov chain Monte Carlo (MCMC) algorithm that generates proposals for a Metropolis-Hastings algorithm by simulating the dynamics of a Hamiltonian system. However, HMC is sensitive to large time…

Machine Learning · Statistics 2016-09-15 Xiaoyu Lu , Valerio Perrone , Leonard Hasenclever , Yee Whye Teh , Sebastian J. Vollmer

Multi-dimensional classification (MDC) can be employed in a range of applications where one needs to predict multiple class variables for each given instance. Many existing MDC methods suffer from at least one of inaccuracy, scalability,…

Machine Learning · Computer Science 2023-11-28 Vu-Linh Nguyen , Yang Yang , Cassio de Campos