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This paper combines two ingredients in order to get a rather surprising result on one of the most studied, elegant and powerful tools for solving convex feasibility problems, the method of alternating projections (MAP). Going back to names…

Optimization and Control · Mathematics 2021-11-11 Roger Behling , Yunier Bello-Cruz , Luiz-Rafael Santos

Real-world problems often involve the optimization of several objectives under multiple constraints. An example is the hyper-parameter tuning problem of machine learning algorithms. In particular, the minimization of the estimation of the…

Machine Learning · Statistics 2021-07-02 Eduardo C. Garrido-Merchán , Daniel Hernández-Lobato

Nowadays, parallel computing is ubiquitous in several application fields, both in engineering and science. The computations rely on the floating-point arithmetic specified by the IEEE754 Standard. In this context, an elementary brick of…

Computation and Language · Computer Science 2022-05-12 Farah Benmouhoub , Pierre-Loïc Garoche , Matthieu Martel

Conformal prediction has emerged as a powerful tool for building prediction intervals that are valid in a distribution-free way. However, its evaluation may be computationally costly, especially in the high-dimensional setting where the…

Machine Learning · Statistics 2025-11-13 Lucas Clarté , Lenka Zdeborová

Answer Set Programming (ASP) is a powerful logic-based programming language, which is enjoying increasing interest within the scientific community and (very recently) in industry. The evaluation of ASP programs is traditionally carried out…

Programming Languages · Computer Science 2011-10-14 Simona Perri , Francesco Ricca , Marco Sirianni

In recent years, the fervent demand for computational power across various domains has prompted hardware manufacturers to introduce specialized computing hardware aimed at enhancing computational capabilities. Particularly, the utilization…

Numerical Analysis · Mathematics 2024-03-12 Hongyaoxing Gu

Monte Carlo methods -- such as Markov chain Monte Carlo (MCMC) and piecewise deterministic Markov process (PDMP) samplers -- provide asymptotically exact estimators of expectations under a target distribution. There is growing interest in…

Computation · Statistics 2024-09-09 Adrien Corenflos , Matthew Sutton , Nicolas Chopin

Approximate message passing (AMP) is a family of iterative algorithms that generalize matrix power iteration. AMP algorithms are known to optimally solve many average-case optimization problems. In this paper, we show that a large class of…

Data Structures and Algorithms · Computer Science 2023-11-16 Misha Ivkov , Tselil Schramm

Emerging workloads, such as graph processing and machine learning are approximate because of the scale of data involved and the stochastic nature of the underlying algorithms. These algorithms are often distributed over multiple machines…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-28 Asim Kadav , Erik Kruus

The proliferation of automatic faithfulness metrics for summarization has produced a need for benchmarks to evaluate them. While existing benchmarks measure the correlation with human judgements of faithfulness on model-generated summaries,…

Computation and Language · Computer Science 2023-06-06 Liang Ma , Shuyang Cao , Robert L. Logan , Di Lu , Shihao Ran , Ke Zhang , Joel Tetreault , Alejandro Jaimes

Formal verification of neural networks (NNs) is a challenging and important problem. Existing efficient complete solvers typically require the branch-and-bound (BaB) process, which splits the problem domain into sub-domains and solves each…

Artificial Intelligence · Computer Science 2021-03-17 Kaidi Xu , Huan Zhang , Shiqi Wang , Yihan Wang , Suman Jana , Xue Lin , Cho-Jui Hsieh

Many tasks in data mining and related fields can be formalized as matching between objects in two heterogeneous domains, including collaborative filtering, link prediction, image tagging, and web search. Machine learning techniques,…

Machine Learning · Computer Science 2014-10-24 Jingbo Shang , Tianqi Chen , Hang Li , Zhengdong Lu , Yong Yu

Matlab is one of the most widely used mathematical computing environments in technical computing. It has an interactive environment which provides high performance computing (HPC) procedures and easy to use. Parallel computing with Matlab…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-07-28 Zaid Abdi Alkareem Alyasseri

We present a real-time method for robust estimation of multiple instances of geometric models from noisy data. Geometric models such as vanishing points, planar homographies or fundamental matrices are essential for 3D scene analysis.…

Computer Vision and Pattern Recognition · Computer Science 2024-01-29 Florian Kluger , Bodo Rosenhahn

Computer vision applications constitute one of the key drivers for embedded multicore architectures. Although the number of available cores is increasing in new architectures, designing an application to maximize the utilization of the…

Computer Vision and Pattern Recognition · Computer Science 2015-02-27 Vítor Schwambach , Sébastien Cleyet-Merle , Alain Issard , Stéphane Mancini

The imposition of real-time constraints on a parallel computing environment- specifically high-performance, cluster-computing systems- introduces a variety of challenges with respect to the formal verification of the system's timing…

Logic in Computer Science · Computer Science 2013-01-03 Peter Hui , Satish Chikkagoudar

The matching of multiple objects (e.g. shapes or images) is a fundamental problem in vision and graphics. In order to robustly handle ambiguities, noise and repetitive patterns in challenging real-world settings, it is essential to take…

Computer Vision and Pattern Recognition · Computer Science 2019-03-15 Florian Bernard , Johan Thunberg , Paul Swoboda , Christian Theobalt

MATLAB has emerged as one of the languages most commonly used by scientists and engineers for technical computing, with ~1,000,000 users worldwide. The compute intensive nature of technical computing means that many MATLAB users have codes…

Astrophysics · Physics 2015-05-26 Nadya Bliss , Jeremy Kepner

Tuning hyperparameters for machine learning algorithms is a tedious task, one that is typically done manually. To enable automated hyperparameter tuning, recent works have started to use techniques based on Bayesian optimization. However,…

Machine Learning · Computer Science 2020-05-26 Sandeep Singh Sandha , Mohit Aggarwal , Igor Fedorov , Mani Srivastava

We study the problem of estimating precision matrices in Gaussian distributions that are multivariate totally positive of order two ($\mathrm{MTP}_2$). The precision matrix in such a distribution is an M-matrix. This problem can be…

Machine Learning · Computer Science 2023-10-24 Jian-Feng Cai , José Vinícius de M. Cardoso , Daniel P. Palomar , Jiaxi Ying