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We propose a novel approach to allocating resources for expensive simulations of high fidelity models when used in a multifidelity framework. Allocation decisions that distribute computational resources across several simulation models…

数值分析 · 数学 2019-01-01 Daniel J. Perry , Robert M. Kirby , Akil Narayan , Ross T. Whitaker

Considering the worst-case scenario, junction tree algorithm remains the most general solution for exact MAP inference with polynomial run-time guarantees. Unfortunately, its main tractability assumption requires the treewidth of a…

离散数学 · 计算机科学 2022-02-10 Alexander Bauer , Shinichi Nakajima

A considerable amount of clustering algorithms take instance-feature matrices as their inputs. As such, they cannot directly analyze time series data due to its temporal nature, usually unequal lengths, and complex properties. This is a…

人工智能 · 计算机科学 2019-06-04 Qi Lei , Jinfeng Yi , Roman Vaculin , Lingfei Wu , Inderjit S. Dhillon

We consider the problem of efficiently scheduling jobs with precedence constraints on a set of identical machines in the presence of a uniform communication delay. Such precedence-constrained jobs can be modeled as a directed acyclic graph,…

数据结构与算法 · 计算机科学 2022-02-01 Quanquan C. Liu , Manish Purohit , Zoya Svitkina , Erik Vee , Joshua R. Wang

In this paper, we propose an efficient and scalable low rank matrix completion algorithm. The key idea is to extend orthogonal matching pursuit method from the vector case to the matrix case. We further propose an economic version of our…

机器学习 · 计算机科学 2014-04-17 Zheng Wang , Ming-Jun Lai , Zhaosong Lu , Wei Fan , Hasan Davulcu , Jieping Ye

We study sparse group Lasso for high-dimensional double sparse linear regression, where the parameter of interest is simultaneously element-wise and group-wise sparse. This problem is an important instance of the simultaneously structured…

统计理论 · 数学 2022-05-10 T. Tony Cai , Anru R. Zhang , Yuchen Zhou

Decision tree optimization is fundamental to interpretable machine learning. The most popular approach is to greedily search for the best feature at every decision point, which is fast but provably suboptimal. Recent approaches find the…

机器学习 · 计算机科学 2025-11-19 Varun Babbar , Hayden McTavish , Cynthia Rudin , Margo Seltzer

While machine learning is traditionally a resource intensive task, embedded systems, autonomous navigation and the vision of the Internet-of-Things fuel the interest in resource efficient approaches. These approaches require a carefully…

We develop a hyperparameter optimisation algorithm, Automated Budget Constrained Training (AutoBCT), which balances the quality of a model with the computational cost required to tune it. The relationship between hyperparameters, model…

机器学习 · 统计学 2024-02-06 Lukas Cironis , Jan Palczewski , Georgios Aivaliotis

This paper introduces a new fixed effects estimator for linear panel data models with clustered time patterns of unobserved heterogeneity. The method avoids non-convex and combinatorial optimization by combining a preliminary consistent…

计量经济学 · 经济学 2025-04-21 Martin Mugnier

We study sublinear time algorithms for estimating the size of maximum matching in graphs. Our main result is a $(\frac{1}{2}+\Omega(1))$-approximation algorithm which can be implemented in $O(n^{1+\epsilon})$ time, where $n$ is the number…

数据结构与算法 · 计算机科学 2022-06-28 Soheil Behnezhad , Mohammad Roghani , Aviad Rubinstein , Amin Saberi

A framework previously introduced in [3] for solving a sequence of stochastic optimization problems with bounded changes in the minimizers is extended and applied to machine learning problems such as regression and classification. The…

机器学习 · 计算机科学 2019-04-08 Craig Wilson , Yuheng Bu , Venugopal Veeravalli

Given the continuous increase in dataset sizes and the complexity of forecasting models, the trade-off between forecast accuracy and computational cost is emerging as an extremely relevant topic, especially in the context of ensemble…

机器学习 · 计算机科学 2025-07-10 Marco Zanotti

Several sparsity-constrained algorithms such as Orthogonal Matching Pursuit or the Frank-Wolfe algorithm with sparsity constraints work by iteratively selecting a novel atom to add to the current non-zero set of variables. This selection…

机器学习 · 计算机科学 2016-08-23 A Rakotomamonjy , S Koço , Liva Ralaivola

We prove the tightest-known upper bounds on the sample complexity of multi-group learning. Our algorithm extends the one-inclusion graph prediction strategy using a generalization of bipartite $b$-matching. In the group-realizable setting,…

机器学习 · 计算机科学 2026-04-10 Noah Bergam , Samuel Deng , Daniel Hsu

Inference in log-linear models scales linearly in the size of output space in the worst-case. This is often a bottleneck in natural language processing and computer vision tasks when the output space is feasibly enumerable but very large.…

机器学习 · 计算机科学 2017-07-12 Stephen Mussmann , Daniel Levy , Stefano Ermon

The online weighted matching problem is a fundamental problem in machine learning due to its numerous applications. Despite many efforts in this area, existing algorithms are either too slow or don't take $\mathrm{deadline}$ (the longest…

数据结构与算法 · 计算机科学 2025-02-19 Zhao Song , Weixin Wang , Chenbo Yin , Junze Yin

Current orthogonal matching pursuit (OMP) algorithms calculate the correlation between two vectors using the inner product operation and minimize the mean square error, which are both suboptimal when there are non-Gaussian noises or…

计算机视觉与模式识别 · 计算机科学 2020-05-12 Miaohua Zhang , Yongsheng Gao , Changming Sun , Michael Blumenstein

In this paper, we consider the problem of estimating parameters of a linear regression model. Using a hybrid systems framework, a hybrid algorithm is proposed allowing the estimate to converge to the exact value of the unknown parameters in…

系统与控制 · 电气工程与系统科学 2026-03-04 Adnane Saoud , Ryan S. Johnson , Ricardo G. Sanfelice

In many prediction problems, it is not uncommon that the number of variables used to construct a forecast is of the same order of magnitude as the sample size, if not larger. We then face the problem of constructing a prediction in the…

统计理论 · 数学 2016-02-08 Alessio Sancetta