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Optimization problems with the objective function in the form of weighted sum and linear equality constraints are considered. Given that the number of local cost functions can be large as well as the number of constraints, a stochastic…

Optimization and Control · Mathematics 2026-05-26 Nataša Krejić , Nataša Krklec Jerinkić , Sanja Rapajić , Luka Rutešić

Several classical adaptive optimization algorithms, such as line search and trust region methods, have been recently extended to stochastic settings where function values, gradients, and Hessians in some cases, are estimated via stochastic…

Optimization and Control · Mathematics 2023-10-02 Billy Jin , Katya Scheinberg , Miaolan Xie

The primary goal of this paper is to provide an efficient solution algorithm based on the augmented Lagrangian framework for optimization problems with a stochastic objective function and deterministic constraints. Our main contribution is…

Optimization and Control · Mathematics 2023-12-29 Raghu Bollapragada , Cem Karamanli , Brendan Keith , Boyan Lazarov , Socratis Petrides , Jingyi Wang

In this paper we study the limitations of parallelization in convex optimization. A convenient approach to study parallelization is through the prism of \emph{adaptivity} which is an information theoretic measure of the parallel runtime of…

Machine Learning · Computer Science 2019-11-22 Eric Balkanski , Yaron Singer

In domains ranging from computer vision to natural language processing, machine learning models have been shown to exhibit stark disparities, often performing worse for members of traditionally underserved groups. One factor contributing to…

Machine Learning · Computer Science 2022-02-04 William Cai , Ro Encarnacion , Bobbie Chern , Sam Corbett-Davies , Miranda Bogen , Stevie Bergman , Sharad Goel

We present an adaptive regularization algorithm that can be effectively applied to the optimization problem in deep learning framework. Our regularization algorithm aims to take into account the fitness of data to the current state of model…

Machine Learning · Computer Science 2019-09-02 Junghee Cho , Junseok Kwon , Byung-Woo Hong

This paper presents an adaptive and intelligent sparse model for digital image sampling and recovery. In the proposed sampler, we adaptively determine the number of required samples for retrieving image based on space-frequency-gradient…

Computer Vision and Pattern Recognition · Computer Science 2017-11-27 Ali Taimori , Farokh Marvasti

This paper explores adaptive variance reduction methods for stochastic optimization based on the STORM technique. Existing adaptive extensions of STORM rely on strong assumptions like bounded gradients and bounded function values, or suffer…

Optimization and Control · Mathematics 2024-10-24 Wei Jiang , Sifan Yang , Yibo Wang , Lijun Zhang

Subsampling is commonly used to overcome computational and economical bottlenecks in the analysis of finite populations and massive datasets. Existing methods are often limited in scope and use optimality criteria (e.g., A-optimality) with…

Statistics Theory · Mathematics 2023-04-07 Henrik Imberg , Marina Axelson-Fisk , Johan Jonasson

Sampling of signals belonging to a low-dimensional subspace has well-documented merits for dimensionality reduction, limited memory storage, and online processing of streaming network data. When the subspace is known, these signals can be…

Information Theory · Computer Science 2019-11-26 Fernando Gama , Antonio G. Marques , Gonzalo Mateos , Alejandro Ribeiro

In this paper we consider graph algorithms in models of computation where the space usage (random accessible storage, in addition to the read only input) is sublinear in the number of edges $m$ and the access to input data is constrained.…

Data Structures and Algorithms · Computer Science 2015-04-21 Kook Jin Ahn , Sudipto Guha

To train neural machine translation models simultaneously on multiple tasks (languages), it is common to sample each task uniformly or in proportion to dataset sizes. As these methods offer little control over performance trade-offs, we…

Machine Learning · Computer Science 2019-09-17 Sébastien Jean , Orhan Firat , Melvin Johnson

Early stopping is a well known approach to reduce the time complexity for performing training and model selection of large scale learning machines. On the other hand, memory/space (rather than time) complexity is the main constraint in many…

Machine Learning · Statistics 2018-02-02 Tomas Angles , Raffaello Camoriano , Alessandro Rudi , Lorenzo Rosasco

In this paper we present a simple but powerful subgraph sampling primitive that is applicable in a variety of computational models including dynamic graph streams (where the input graph is defined by a sequence of edge/hyperedge insertions…

Data Structures and Algorithms · Computer Science 2015-05-08 Rajesh Chitnis , Graham Cormode , Hossein Esfandiari , MohammadTaghi Hajiaghayi , Andrew McGregor , Morteza Monemizadeh , Sofya Vorotnikova

Automation of machine learning model development is increasingly becoming an established research area. While automated model selection and automated data pre-processing have been studied in depth, there is, however, a gap concerning…

Machine Learning · Computer Science 2021-06-08 Rashid Bakirov , Bogdan Gabrys , Damien Fay

We study the problem of recovering an incomplete $m\times n$ matrix of rank $r$ with columns arriving online over time. This is known as the problem of life-long matrix completion, and is widely applied to recommendation system, computer…

Machine Learning · Computer Science 2016-12-04 Maria-Florina Balcan , Hongyang Zhang

Efficient learning from streaming data is important for modern data analysis due to the continuous and rapid evolution of data streams. Despite significant advancements in stream pattern mining, challenges persist, particularly in managing…

Machine Learning · Computer Science 2024-11-04 Lamine Diop , Marc Plantevit , Arnaud Soulet

Predictive queries over spatiotemporal (ST) stream data pose significant data processing and analysis challenges. ST data streams involve a set of time series whose data distributions may vary in space and time, exhibiting multiple distinct…

Machine Learning · Statistics 2024-10-03 Anderson Chaves , Eduardo Ogasawara , Patrick Valduriez , Fabio Porto

Let $M$ be a two-dimensional table with each cell weighted by a nonzero positive number. A StreamTable visualization of $M$ represents the columns as non-overlapping vertical streams and the rows as horizontal stripes such that the…

Computational Geometry · Computer Science 2022-03-29 Jared Espenant , Debajyoti Mondal

This article develops a general-purpose adaptive sampler that approximates the target density by a mixture of multivariate t densities. The adaptive sampler is based on reversible proposal distributions each of which has the mixture of…

Methodology · Statistics 2013-08-22 Minh-Ngoc Tran , Michael K. Pitt , Robert Kohn