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We study the problem of approximate ranking from observations of pairwise interactions. The goal is to estimate the underlying ranks of $n$ objects from data through interactions of comparison or collaboration. Under a general framework of…

Statistics Theory · Mathematics 2019-06-26 Chao Gao

Stochastic alternating algorithms for bi-objective optimization are considered when optimizing two conflicting functions for which optimization steps have to be applied separately for each function. Such algorithms consist of applying a…

Optimization and Control · Mathematics 2023-01-09 Suyun Liu , Luis Nunes Vicente

Evolutionary algorithms have been frequently applied to constrained continuous optimisation problems. We carry out feature based comparisons of different types of evolutionary algorithms such as evolution strategies, differential evolution…

Artificial Intelligence · Computer Science 2015-09-24 Shayan Poursoltan , Frank Neumann

Adaptive Risk Control (ARC) is an online calibration strategy based on set prediction that offers worst-case deterministic long-term risk control, as well as statistical marginal coverage guarantees. ARC adjusts the size of the prediction…

Machine Learning · Statistics 2024-10-11 Matteo Zecchin , Osvaldo Simeone

We consider the question of the stability of evolutionary algorithms to gradual changes, or drift, in the target concept. We define an algorithm to be resistant to drift if, for some inverse polynomial drift rate in the target function, it…

Machine Learning · Computer Science 2015-03-17 Varun Kanade , Leslie G. Valiant , Jennifer Wortman Vaughan

Quasi-convex optimization acts a pivotal part in many fields including economics and finance; the subgradient method is an effective iterative algorithm for solving large-scale quasi-convex optimization problems. In this paper, we…

Optimization and Control · Mathematics 2019-10-25 Yaohua Hu , Jiawen Li , Carisa Kwok Wai Yu

Modern large-scale statistical models require to estimate thousands to millions of parameters. This is often accomplished by iterative algorithms such as gradient descent, projected gradient descent or their accelerated versions. What are…

Machine Learning · Statistics 2020-03-04 Michael Celentano , Andrea Montanari , Yuchen Wu

In this paper, we study the convergence rate of the DCA (Difference-of-Convex Algorithm), also known as the convex-concave procedure, with two different termination criteria that are suitable for smooth and nonsmooth decompositions…

Optimization and Control · Mathematics 2023-02-24 Hadi Abbaszadehpeivasti , Etienne de Klerk , Moslem Zamani

The (1+1)-evolution strategy (ES) with success-based step-size adaptation is analyzed on a general convex quadratic function and its monotone transformation, that is, $f(x) = g((x - x^*)^\mathrm{T} H (x - x^*))$, where…

Neural and Evolutionary Computing · Computer Science 2021-04-13 Daiki Morinaga , Kazuto Fukuchi , Jun Sakuma , Youhei Akimoto

We discuss the property of a.e. and in mean convergence of the Kohonen algorithm considered as a stochastic process. The various conditions ensuring the a.e. convergence are described and the connection with the rate decay of the learning…

Quantitative Methods · Quantitative Biology 2008-09-30 Daniela Bianchi , Raffaele Calogero , Brunello Tirozzi

Two-stage adaptive robust optimization (ARO) is a powerful approach for planning under uncertainty, balancing first-stage decisions with recourse decisions made after uncertainty is realized. To account for uncertainty, modelers typically…

Systems and Control · Electrical Eng. & Systems 2025-04-10 Aron Brenner , Rahman Khorramfar , Jennifer Sun , Saurabh Amin

The Coordinate Ascent Variational Inference scheme is a popular algorithm used to compute the mean-field approximation of a probability distribution of interest. We analyze its random scan version, under log-concavity assumptions on the…

Machine Learning · Statistics 2024-09-24 Hugo Lavenant , Giacomo Zanella

Automatic Speech Recognition (ASR) is an area of growing academic and commercial interest due to the high demand for applications that use it to provide a natural communication method. It is common for general purpose ASR systems to fail in…

Audio and Speech Processing · Electrical Eng. & Systems 2021-02-24 Rafael Viana-Cámara , Diego Campos-Sobrino , Mario Campos-Soberanis

This thesis presents Regenerative Rejection Sampling (RRS), a novel approximate sampling algorithm inspired by classical Rejection Sampling and Markov Chain Monte Carlo methods. The method constructs a continuous-time regenerative process…

Computation · Statistics 2026-04-01 Tommaso Bozzi

Evolutionary algorithms are sensitive to the mutation rate (MR); no single value of this parameter works well across domains. Self-adaptive MR approaches have been proposed but they tend to be brittle: Sometimes they decay the MR to zero,…

Neural and Evolutionary Computing · Computer Science 2022-04-12 Akarsh Kumar , Bo Liu , Risto Miikkulainen , Peter Stone

We consider stochastic gradient descent and its averaging variant for binary classification problems in a reproducing kernel Hilbert space. In the traditional analysis using a consistency property of loss functions, it is known that the…

Machine Learning · Statistics 2022-07-26 Atsushi Nitanda , Taiji Suzuki

Maximum correntropy criterion regression (MCCR) models have been well studied within the frame of statistical learning when the scale parameters take fixed values or go to infinity. This paper studies the MCCR models with tending-to-zero…

Machine Learning · Statistics 2021-10-26 Ying Jing , Lianqiang Yang

Abstract Meaning Representation (AMR) represents sentences as directed, acyclic and rooted graphs, aiming at capturing their meaning in a machine readable format. AMR parsing converts natural language sentences into such graphs. However,…

Computation and Language · Computer Science 2019-04-18 Juri Opitz , Anette Frank

Conformal prediction (CP) and its extension, conformal risk control (CRC), are established frameworks for quantifying uncertainty in supervised machine learning through formal guarantees. However, recent breakthroughs in artificial…

Machine Learning · Computer Science 2026-05-29 Gabriel Loaiza-Ganem , Kevin Zhang , Wei Cui , Marc T. Law , Kin Kwan Leung

Automated Code Revision (ACR) tools aim to reduce manual effort by automatically generating code revisions based on reviewer feedback. While ACR tools have shown promising performance on historical data, their real-world utility depends on…

Software Engineering · Computer Science 2026-02-17 Shirin Pirouzkhah , Souhaila Serbout , Alberto Bacchelli