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There is a significant gap between our theoretical understanding of optimization algorithms used in deep learning and their practical performance. Theoretical development usually focuses on proving convergence guarantees under a variety of…

Machine Learning · Computer Science 2025-11-03 Hoang Tran , Qinzi Zhang , Ashok Cutkosky

Despite the widespread use of machine learning algorithms to solve problems of technological, economic, and social relevance, provable guarantees on the performance of these data-driven algorithms are critically lacking, especially when the…

Machine Learning · Computer Science 2019-03-18 Abed AlRahman Al Makdah , Vaibhav Katewa , Fabio Pasqualetti

In recent years, Artificial Intelligence (AI) algorithms have been proven to outperform traditional statistical methods in terms of predictivity, especially when a large amount of data was available. Nevertheless, the "black box" nature of…

Machine Learning · Statistics 2021-10-14 Nicola Picchiotti , Marco Gori

In the algorithm selection research, the discussion surrounding algorithm features has been significantly overshadowed by the emphasis on problem features. Although a few empirical studies have yielded evidence regarding the effectiveness…

Machine Learning · Computer Science 2024-06-04 Xingyu Wu , Yan Zhong , Jibin Wu , Yuxiao Huang , Sheng-hao Wu , Kay Chen Tan

One of the primary goals of the mathematical analysis of algorithms is to provide guidance about which algorithm is the "best" for solving a given computational problem. Worst-case analysis summarizes the performance profile of an algorithm…

Data Structures and Algorithms · Computer Science 2020-07-28 Tim Roughgarden

Test functions are important to validate new optimization algorithms and to compare the performance of various algorithms. There are many test functions in the literature, but there is no standard list or set of test functions one has to…

Optimization and Control · Mathematics 2010-08-04 Xin-She Yang

Casting machine learning as a type of search, we demonstrate that the proportion of problems that are favorable for a fixed algorithm is strictly bounded, such that no single algorithm can perform well over a large fraction of them. Our…

Machine Learning · Statistics 2017-04-20 George D. Montanez

Artificial intelligence develops techniques and systems whose performance must be evaluated on a regular basis in order to certify and foster progress in the discipline. We will describe and critically assess the different ways AI systems…

Artificial Intelligence · Computer Science 2016-08-23 Jose Hernandez-Orallo

Though competitive analysis has been a very useful performance measure for the quality of online algorithms, it is recognized that it sometimes fails to distinguish between algorithms of different quality in practice. A number of…

Data Structures and Algorithms · Computer Science 2015-03-19 Joan Boyar , Kim S. Larsen , Abyayananda Maiti

Existing approaches to algorithmic fairness aim to ensure equitable outcomes if human decision-makers comply perfectly with algorithmic decisions. However, perfect compliance with the algorithm is rarely a reality or even a desirable…

Machine Learning · Computer Science 2025-07-01 Haosen Ge , Hamsa Bastani , Osbert Bastani

Training algorithms, broadly construed, are an essential part of every deep learning pipeline. Training algorithm improvements that speed up training across a wide variety of workloads (e.g., better update rules, tuning protocols, learning…

The vast majority of theoretical results in machine learning and statistics assume that the available training data is a reasonably reliable reflection of the phenomena to be learned or estimated. Similarly, the majority of machine learning…

Machine Learning · Computer Science 2017-06-13 Moses Charikar , Jacob Steinhardt , Gregory Valiant

We empirically evaluate the finite-time performance of several simulation-optimization algorithms on a testbed of problems with the goal of motivating further development of algorithms with strong finite-time performance. We investigate if…

Optimization and Control · Mathematics 2017-05-23 Naijia Dong , David J. Eckman , Matthias Poloczek , Xueqi Zhao , Shane G. Henderson

A key part of any evolutionary algorithm is fitness evaluation. When fitness evaluations are corrupted by noise, as happens in many real-world problems as a consequence of various types of uncertainty, a strategy is needed in order to cope…

Neural and Evolutionary Computing · Computer Science 2017-07-13 Simon M. Lucas , Jialin Liu , Diego Pérez-Liébana

Machine learning algorithms have been used widely in various applications and areas. To fit a machine learning model into different problems, its hyper-parameters must be tuned. Selecting the best hyper-parameter configuration for machine…

Machine Learning · Computer Science 2022-10-06 Li Yang , Abdallah Shami

Experimental comparisons of performance represent an important aspect of research on optimization algorithms. In this work we present a methodology for defining the required sample sizes for designing experiments with desired statistical…

Neural and Evolutionary Computing · Computer Science 2018-10-16 Felipe Campelo , Fernanda Takahashi

Iterative numerical algorithms are typically equipped with a stopping criterion, where the iteration process is terminated when some error or misfit measure is deemed to be below a given tolerance. This is a useful setting for comparing…

Numerical Analysis · Computer Science 2014-12-04 Uri Ascher , Farbod Roosta-Khorasani

We derive generalization bounds for learning algorithms based on their robustness: the property that if a testing sample is "similar" to a training sample, then the testing error is close to the training error. This provides a novel…

Machine Learning · Computer Science 2015-03-17 Huan Xu , Shie Mannor

Recent advances in probabilistic modelling have led to a large number of simulation-based inference algorithms which do not require numerical evaluation of likelihoods. However, a public benchmark with appropriate performance metrics for…

Machine Learning · Statistics 2021-04-12 Jan-Matthis Lueckmann , Jan Boelts , David S. Greenberg , Pedro J. Gonçalves , Jakob H. Macke

Research on recommender systems algorithms, like other areas of applied machine learning, is largely dominated by efforts to improve the state-of-the-art, typically in terms of accuracy measures. Several recent research works however…

Information Retrieval · Computer Science 2022-05-16 Vito Walter Anelli , Alejandro Bellogín , Tommaso Di Noia , Dietmar Jannach , Claudio Pomo