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We propose a new randomized optimization method for high-dimensional problems which can be seen as a generalization of coordinate descent to random subspaces. We show that an adaptive sampling strategy for the random subspace significantly…

最优化与控制 · 数学 2019-12-19 Jonathan Lacotte , Mert Pilanci , Marco Pavone

Scenarios are pen-pictures of plausible futures, used for strategic planning. The aim of this investigation is to expand the horizon of scenario-based planning through computational models that are able to aid the analyst in the planning…

神经与进化计算 · 计算机科学 2009-07-06 Hussein Abbass , Axel Bender , Helen Dam , Stephen Baker , James M Whitacre , Ruhul Sarker

Optimization lies at the heart of machine learning and signal processing. Contemporary approaches based on the stochastic gradient method are non-adaptive in the sense that their implementation employs prescribed parameter values that need…

最优化与控制 · 数学 2020-01-22 Frank E. Curtis , Katya Scheinberg

A technique is presented for producing synthetic images from numerical simulations whereby the image resolution is adapted around prominent features. In so doing, adaptive image ray-tracing (AIR) improves the efficiency of a calculation by…

天体物理仪器与方法 · 物理学 2015-05-20 E. R. Parkin

The classical alternating minimization (or projection) algorithm has been successful in the context of solving optimization problems over two variables. The iterative nature and simplicity of the algorithm has led to its application to many…

信息论 · 计算机科学 2010-08-24 Urs Niesen , Devavrat Shah , Gregory Wornell

The choices of hyperparameters have critical effects on the performance of machine learning models. In this paper, we present a general framework that is able to construct an adaptive optimizer, which automatically adjust the appropriate…

机器学习 · 计算机科学 2022-01-31 Huayuan Sun

Strongly adaptive algorithms are algorithms whose performance on every time interval is close to optimal. We present a reduction that can transform standard low-regret algorithms to strongly adaptive. As a consequence, we derive simple, yet…

机器学习 · 计算机科学 2015-06-22 Amit Daniely , Alon Gonen , Shai Shalev-Shwartz

Current statistical inference problems in areas like astronomy, genomics, and marketing routinely involve the simultaneous testing of thousands -- even millions -- of null hypotheses. For high-dimensional multivariate distributions, these…

统计方法学 · 统计学 2017-04-25 Weixin Cai , Nima S. Hejazi , Alan E. Hubbard

We consider the problem of computationally-efficient prediction with high dimensional and highly correlated predictors when accurate variable selection is effectively impossible. Direct application of penalization or Bayesian methods…

统计理论 · 数学 2019-09-12 Minerva Mukhopadhyay , David B. Dunson

Several predictive algorithms are described. Highlighted are variants that make predictions by superposing fields associated to the training data instances. They operate seamlessly with categorical, continuous, and mixed data. Predictive…

机器学习 · 计算机科学 2022-05-10 Cristian Alb

We consider several issues related to the multidimensional integration using a network of heterogeneous computers. Based on these considerations, we develop a new general purpose scheme which can significantly reduce the time needed for…

计算物理 · 物理学 2009-10-30 S. Veseli

Adapting pre-trained models with broad capabilities has become standard practice for learning a wide range of downstream tasks. The typical approach of fine-tuning different models for each task is performant, but incurs a substantial…

Selecting a good column (or row) subset of massive data matrices has found many applications in data analysis and machine learning. We propose a new adaptive sampling algorithm that can be used to improve any relative-error column selection…

数据结构与算法 · 计算机科学 2015-10-15 Saurabh Paul , Malik Magdon-Ismail , Petros Drineas

3D single-photon LiDAR imaging plays an important role in numerous applications. However, long acquisition times and significant data volumes present a challenge to LiDAR imaging. This paper proposes a task-optimized adaptive sampling…

图像与视频处理 · 电气工程与系统科学 2021-09-07 Mohamed Amir Alaa Belmekki , Rachael Tobin , Gerald S. Buller , Stephen McLaughlin , Abderrahim Halimi

The era of huge data necessitates highly efficient machine learning algorithms. Many common machine learning algorithms, however, rely on computationally intensive subroutines that are prohibitively expensive on large datasets. Oftentimes,…

机器学习 · 计算机科学 2023-09-26 Mo Tiwari

A rigorous formulation of the dynamics of a signal processing scheme aimed at dense signal scanning without any loss in accuracy is introduced and analyzed. Related methods proposed in the recent past lack a satisfactory analysis of whether…

机器学习 · 计算机科学 2017-08-03 Markus Thom , Franz Gritschneder

Motivation: Gene selection has become a common task in most gene expression studies. The objective of such research is often to identify the smallest possible set of genes that can still achieve good predictive performance. The problem of…

统计方法学 · 统计学 2015-11-25 Stéphane Guerrier , Nabil Mili , Roberto Molinari , Samuel Orso , Marco Avella-Medina , Yanyuan Ma

We introduce an adaptive scheduling for adaptive sampling as a novel way of machine learning in the construction of part-of-speech taggers. The goal is to speed up the training on large data sets, without significant loss of performance…

计算与语言 · 计算机科学 2024-02-06 Manuel Vilares Ferro , Victor M. Darriba Bilbao , Jesús Vilares Ferro

Model-based approaches bear great promise for decision making of agents interacting with the physical world. In the context of spatial environments, different types of problems such as localisation, mapping, navigation or autonomous…

Efficient sampling in biomolecular simulations is critical for accurately capturing the complex dynamical behaviors of biological systems. Adaptive sampling techniques aim to improve efficiency by focusing computational resources on the…

生物大分子 · 定量生物学 2024-10-22 Hassan Nadeem , Diwakar Shukla