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Some high-dimensional data.sets can be modelled by assuming that there are many different linear constraints, each of which is Frequently Approximately Satisfied (FAS) by the data. The probability of a data vector under the model is then…

Machine Learning · Computer Science 2013-01-14 Geoffrey E. Hinton , Yee Whye Teh

In so-called constraint-based testing, symbolic execution is a common technique used as a part of the process to generate test data for imperative programs. Databases are ubiquitous in software and testing of programs manipulating databases…

Software Engineering · Computer Science 2015-01-26 Michaël Marcozzi , Wim Vanhoof , Jean-Luc Hainaut

Deep Generative Models (DGMs) have been shown to be powerful tools for generating tabular data, as they have been increasingly able to capture the complex distributions that characterize them. However, to generate realistic synthetic data,…

Machine Learning · Computer Science 2024-02-08 Mihaela Cătălina Stoian , Salijona Dyrmishi , Maxime Cordy , Thomas Lukasiewicz , Eleonora Giunchiglia

Functional data are ubiquitous in scientific modeling. For instance, quantities of interest are modeled as functions of time, space, energy, density, etc. Uncertainty quantification methods for computer models with functional response have…

Methodology · Statistics 2024-09-25 Devin Francom , J. Derek Tucker , Gabriel Huerta , Kurtis Shuler , Daniel Ries

Application of the adiabatic model of quantum computation requires efficient encoding of the solution to computational problems into the lowest eigenstate of a Hamiltonian that supports universal adiabatic quantum computation. Experimental…

Quantum Physics · Physics 2015-01-22 Yudong Cao , Ryan Babbush , Jacob Biamonte , Sabre Kais

The structural characterization of high-dimensional mutually unbiased bases (MUBs) by classifying MUBs subsets remains a major open problem. The existing methods not only fail to conclude on the exact classification, but also are severely…

Quantum Physics · Physics 2025-12-05 Jianxin Song , Zhen-Peng Xu , Changliang Ren

Learning product representations that reflect complementary relationship plays a central role in e-commerce recommender system. In the absence of the product relationships graph, which existing methods rely on, there is a need to detect the…

Information Retrieval · Computer Science 2019-12-02 Da Xu , Chuanwei Ruan , Jason Cho , Evren Korpeoglu , Sushant Kumar , Kannan Achan

Model transformations operate on models conforming to precisely defined metamodels. Consequently, it often seems relatively easy to chain them: the output of a transformation may be given as input to a second one if metamodels match.…

Artificial Intelligence · Computer Science 2010-03-04 Raphael Chenouard , Frédéric Jouault

We propose a new method for representing data sets with a set of binary feature functions. We compute both the dyadic set structure determined by an order on the binary features together with the canonical product coefficient parameters for…

Classical Analysis and ODEs · Mathematics 2017-05-03 Linda Ness

This paper is aimed at designing efficient parallel matrix-product algorithms for heterogeneous master-worker platforms. While matrix-product is well-understood for homogeneous 2D-arrays of processors (e.g., Cannon algorithm and ScaLAPACK…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Jack Dongarra , Jean-Francois Pineau , Yves Robert , Zhiao Shi , Frederic Vivien

This paper is an exploration in a functional programming framework of {\em isomorphisms} between elementary data types (natural numbers, sets, multisets, finite functions, permutations binary decision diagrams, graphs, hypergraphs,…

Programming Languages · Computer Science 2009-01-19 Paul Tarau

We provide a differentially private algorithm for producing synthetic data simultaneously useful for multiple tasks: marginal queries and multitask machine learning (ML). A key innovation in our algorithm is the ability to directly handle…

The generation of synthetic data is a state-of-the-art approach to leverage when access to real data is limited or privacy regulations limit the usability of sensitive data. A fair amount of research has been conducted on synthetic data…

Machine Learning · Computer Science 2024-11-12 Wilhelm Ågren , Victorio Úbeda Sosa

Users of heterogeneous computing systems face two problems: firstly, in understanding the trade-off relationships between the observable characteristics of their applications, such as latency and quality of the result, and secondly, how to…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-15 Gordon Inggs , David B. Thomas , Wayne Luk

Synthetic tabular data is increasingly used in privacy-sensitive domains such as health care, but existing generative models often fail to preserve inter-attribute relationships. In particular, functional dependencies (FDs) and logical…

Machine Learning · Computer Science 2025-07-28 Chaithra Umesh , Kristian Schultz , Manjunath Mahendra , Saptarshi Bej , Olaf Wolkenhauer

A consistent theme in software experimentation at Microsoft has been solving problems of experimentation at scale for a diverse set of products. Running experiments at scale (i.e., many experiments on many users) has become state of the art…

Applications · Statistics 2019-12-03 Craig Boucher , Ulf Knoblich , Daniel Miller , Sasha Patotski , Amin Saied , Venky Venkateshaiah

In systems biology, it is common to measure biochemical entities at different levels of the same biological system. One of the central problems for the data fusion of such data sets is the heterogeneity of the data. This thesis discusses…

Genomics · Quantitative Biology 2019-08-27 Yipeng Song

A complex Hilbert space of dimension six supports at least three but not more than seven mutually unbiased bases. Two computer-aided analytical methods to tighten these bounds are reviewed, based on a discretization of parameter space and…

Quantum Physics · Physics 2011-02-10 Stephen Brierley , Stefan Weigert

We provide a MATLAB toolbox, BFDA, that implements a Bayesian hierarchical model to smooth multiple functional data with the assumptions of the same underlying Gaussian process distribution, a Gaussian process prior for the mean function,…

Other Statistics · Statistics 2017-02-06 Jingjing Yang , Peng Ren

Scientific practice typically involves repeatedly studying a system, each time trying to unravel a different perspective. In each study, the scientist may take measurements under different experimental conditions (interventions,…

Machine Learning · Statistics 2014-03-11 Sofia Triantafillou , Ioannis Tsamardinos