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In recent years, deep discriminative models have achieved extraordinary performance on supervised learning tasks, significantly outperforming their generative counterparts. However, their success relies on the presence of a large amount of…

Computer Vision and Pattern Recognition · Computer Science 2017-09-05 Gaurav Pandey , Ambedkar Dukkipati

Emerging applications such as Deep Learning are often data-driven, thus traditional approaches based on auto-tuners are not performance effective across the wide range of inputs used in practice. In the present paper, we start an…

Machine Learning · Computer Science 2022-12-12 Damiano Perri , Paolo Sylos Labini , Osvaldo Gervasi , Sergio Tasso , Flavio Vella

Random matrices tend to be well conditioned, and we employ this well known property to advance matrix computations. We prove that our algorithms employing Gaussian random matrices are efficient, but in our tests the algorithms have…

Numerical Analysis · Mathematics 2012-10-30 Victor Y. Pan , Guoliang Qian , Ai-Long Zheng

Computers are nonlinear dynamical systems that exhibit complex and sometimes even chaotic behavior. The models used in the computer systems community, however, are linear. This paper is an exploration of that disconnect: when linear models…

Chaotic Dynamics · Physics 2014-05-06 Joshua Garland , Elizabeth Bradley

Discovering a suitable neural network architecture for modeling complex dynamical systems poses a formidable challenge, often involving extensive trial and error and navigation through a high-dimensional hyper-parameter space. In this…

Machine Learning · Computer Science 2024-03-26 Chinmay Datar , Adwait Datar , Felix Dietrich , Wil Schilders

One of the grand challenges of Mathematics instruction is to provide students with problems that are both accessible and have a reasonably elegant solution. Instructors commonly resort to resources like course textbooks, online-learning…

History and Overview · Mathematics 2024-02-13 Ryan H. Allaire , Margaret Reynolds , Andrew C. Lee

Probabilistic generative models provide a flexible and systematic framework for learning the underlying geometry of data. However, model selection in this setting is challenging, particularly when selecting for ill-defined qualities such as…

Machine Learning · Computer Science 2022-10-05 Chester Holtz , Gal Mishne , Alexander Cloninger

This paper highlights new opportunities for designing large-scale machine learning systems as a consequence of blurring traditional boundaries that have allowed algorithm designers and application-level practitioners to stay -- for the most…

Machine Learning · Computer Science 2014-09-10 Suyog Gupta , Vikas Sindhwani , Kailash Gopalakrishnan

We consider the learning of algorithmic tasks by mere observation of input-output pairs. Rather than studying this as a black-box discrete regression problem with no assumption whatsoever on the input-output mapping, we concentrate on tasks…

Machine Learning · Computer Science 2018-10-16 Alex Nowak-Vila , David Folqué , Joan Bruna

One of the greatest efforts of computational scientists is to translate the mathematical model describing a class of physical phenomena into large and complex codes. Many of these codes face the difficulty of implementing the mathematical…

Computational Engineering, Finance, and Science · Computer Science 2018-01-17 Edoardo Di Napoli , Elmar Peise , Markus Hrywniak , Paolo Bientinesi

We design and analyze an algorithm for first-order stochastic optimization of a large class of functions on $\mathbb{R}^d$. In particular, we consider the \emph{variationally coherent} functions which can be convex or non-convex. The…

Optimization and Control · Mathematics 2021-02-02 Francesco Orabona , Dávid Pál

Predicting human performance in interaction tasks allows designers or developers to understand the expected performance of a target interface without actually testing it with real users. In this work, we present a deep neural net to model…

Human-Computer Interaction · Computer Science 2018-03-15 Yang Li , Samy Bengio , Gilles Bailly

We introduce an efficient algorithmic framework for model selection in online learning, also known as parameter-free online learning. Departing from previous work, which has focused on highly structured function classes such as nested balls…

Machine Learning · Computer Science 2018-01-08 Dylan J. Foster , Satyen Kale , Mehryar Mohri , Karthik Sridharan

Recent advances in deep reinforcement learning (deep RL) enable researchers to solve challenging control problems, from simulated environments to real-world robotic tasks. However, deep RL algorithms are known to be sensitive to the problem…

Robotics · Computer Science 2023-02-01 Joanne Taery Kim , Sehoon Ha

Join query evaluation with ordering is a fundamental data processing task in relational database management systems. SQL and custom graph query languages such as Cypher offer this functionality by allowing users to specify the order via the…

Databases · Computer Science 2022-01-25 Shaleen Deep , Xiao Hu , Paraschos Koutris

The integration of large language models (LLMs) into automated algorithm design has shown promising potential. A prevalent approach embeds LLMs within search routines to iteratively generate and refine candidate algorithms. However, most…

Machine Learning · Computer Science 2026-05-20 Fei Liu , Rui Zhang , Xi Lin , Zhichao Lu , Qingfu Zhang

We address the problem of estimating a high-dimensional matrix from linear measurements, with a focus on designing optimal rank-adaptive algorithms. These algorithms infer the matrix by estimating its singular values and the corresponding…

Information Theory · Computer Science 2026-05-12 Frédéric Zheng , Yassir Jedra , Alexandre Proutiere

We develop a novel formulation of the Performance Estimation Problem (PEP) for decentralized optimization whose size is independent of the number of agents in the network. The PEP approach allows computing automatically the worst-case…

Optimization and Control · Mathematics 2023-02-20 Sebastien Colla , Julien M. Hendrickx

Quantum algorithms have been developed for efficiently solving linear algebra tasks. However, they generally require deep circuits and hence universal fault-tolerant quantum computers. In this work, we propose variational algorithms for…

Quantum Physics · Physics 2021-12-28 Xiaosi Xu , Jinzhao Sun , Suguru Endo , Ying Li , Simon C. Benjamin , Xiao Yuan

We propose a novel DEA ranking based on a robust optimization viewpoint: the higher ranking for those DMU's that remain efficient even for larger variations of data and vice versa. This ranking can be computed by solving generalized linear…

Optimization and Control · Mathematics 2019-05-27 Milan Hladík