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Resource-constrained classification tasks are common in real-world applications such as allocating tests for disease diagnosis, hiring decisions when filling a limited number of positions, and defect detection in manufacturing settings…

Machine Learning · Computer Science 2023-11-22 Danit Shifman Abukasis , Izack Cohen , Xiaochen Xian , Kejun Huang , Gonen Singer

We study oracle complexity of gradient based methods for stochastic approximation problems. Though in many settings optimal algorithms and tight lower bounds are known for such problems, these optimal algorithms do not achieve the best…

Optimization and Control · Mathematics 2022-06-20 Jingzhao Zhang , Hongzhou Lin , Subhro Das , Suvrit Sra , Ali Jadbabaie

We consider the problem of supply and demand balancing that is stated as a minimization problem for the total expected revenue function describing the behavior of both consumers and suppliers. In the considered market model we assume that…

Optimization and Control · Mathematics 2021-06-29 Dmitry Pasechnyuk , Pavel Dvurechensky , Sergey Omelchenko , Alexander Gasnikov

We study the optimal design problems where the goal is to choose a set of linear measurements to obtain the most accurate estimate of an unknown vector in $d$ dimensions. We study the $A$-optimal design variant where the objective is to…

Data Structures and Algorithms · Computer Science 2018-07-18 Aleksandar Nikolov , Mohit Singh , Uthaipon Tao Tantipongpipat

Selective classification allows models to abstain from making predictions (e.g., say "I don't know") when in doubt in order to obtain better effective accuracy. While typical selective models can be effective at producing more accurate…

Machine Learning · Computer Science 2024-06-24 Adam Fisch , Tommi Jaakkola , Regina Barzilay

We propose an efficient novel path sampling-based framework designed to accelerate the investigation of rare events in complex molecular systems. A key innovation is the shift from sampling restricted path ensemble distributions, as in…

Chemical Physics · Physics 2025-03-28 Gianmarco Lazzeri , Peter G. Bolhuis , Roberto Covino

Choosing a shrinkage method can be done by selecting a penalty from a list of pre-specified penalties or by constructing a penalty based on the data. If a list of penalties for a class of linear models is given, we provide comparisons based…

Methodology · Statistics 2022-01-10 Dean Dustin , Bertrand Clarke , Jennifer Clarke

This paper aims to predict optimal solutions for combinatorial optimization problems (COPs) via machine learning (ML). To find high-quality solutions efficiently, existing work uses a ML prediction of the optimal solution to guide heuristic…

Optimization and Control · Mathematics 2023-01-30 Yunzhuang Shen , Yuan Sun , Xiaodong Li , Andrew Eberhard , Andreas Ernst

Conditional selective inference requires an exact characterization of the selection event, which is often unavailable except for a few examples like the lasso. This work addresses this challenge by introducing a generic approach to estimate…

Methodology · Statistics 2023-08-22 Sifan Liu , Jelena Markovic-Voronov , Jonathan Taylor

Much more attention has been paid to unsupervised feature selection nowadays due to the emergence of massive unlabeled data. The distribution of samples and the latent effect of training a learning method using samples in more effective…

Machine Learning · Computer Science 2021-12-15 Weiyi Li , Hongmei Chen , Tianrui Li , Jihong Wan , Binbin Sang

Sparse principal component analysis addresses the problem of finding a linear combination of the variables in a given data set with a sparse coefficients vector that maximizes the variability of the data. This model enhances the ability to…

Optimization and Control · Mathematics 2017-03-09 Amir Beck , Yakov Vaisbourd

Reinforcement learning (RL) aims to find an optimal policy by interaction with an environment. Consequently, learning complex behavior requires a vast number of samples, which can be prohibitive in practice. Nevertheless, instead of…

Machine Learning · Computer Science 2021-11-23 Sarah Müller , Alexander von Rohr , Sebastian Trimpe

In most real-world applications of artificial intelligence, the distributions of the data and the goals of the learners tend to change over time. The Probably Approximately Correct (PAC) learning framework, which underpins most machine…

Machine Learning · Computer Science 2025-11-13 Yuxin Bai , Cecelia Shuai , Ashwin De Silva , Siyu Yu , Pratik Chaudhari , Joshua T. Vogelstein

We present a novel approach for adaptive, differentiable parameterization of large-scale random fields. If the approach is coupled with any gradient-based optimization algorithm, it can be applied to a variety of optimization problems,…

Machine Learning · Computer Science 2020-06-09 Maksim Elizarev , Andrei Mukhin , Aleksey Khlyupin

We study the problem of learning to choose from m discrete treatment options (e.g., news item or medical drug) the one with best causal effect for a particular instance (e.g., user or patient) where the training data consists of passive…

Machine Learning · Statistics 2017-08-02 Nathan Kallus

A new algorithm is proposed for a) unsupervised learning of sparse representations from subsampled measurements and b) estimating the parameters required for linearly reconstructing signals from the sparse codes. We verify that the new…

Neurons and Cognition · Quantitative Biology 2010-11-02 Guy Isely , Christopher J. Hillar , Friedrich T. Sommer

Diffusion and flow-matching have emerged as powerful methodologies for generative modeling, with remarkable success in capturing complex data distributions and enabling flexible guidance at inference time. Many downstream applications,…

Machine Learning · Computer Science 2026-04-28 Zeyang Li , Kaveh Alim , Navid Azizan

This paper deals with the black-box optimization problem. In this setup, we do not have access to the gradient of the objective function, therefore, we need to estimate it somehow. We propose a new type of approximation JAGUAR, that…

Optimization and Control · Mathematics 2024-12-03 Andrey Veprikov , Aleksandr Bogdanov , Vladislav Minashkin , Aleksandr Beznosikov

Computer experiments with quantitative and qualitative inputs are widely used to study many scientific and engineering processes. Much of the existing work has focused on design and modeling or process optimization for such experiments.…

Methodology · Statistics 2025-04-30 A. Shahrokhian , X. Deng , C. D. Lin , P. Ranjan , L. Xu

In sparse target inference problems it has been shown that significant gains can be achieved by adaptive sensing using convex criteria. We generalize previous work on adaptive sensing to (a) include multiple classes of targets with…

Information Theory · Computer Science 2014-09-30 Gregory E. Newstadt , Beipeng Mu , Dennis Wei , Jonathan P. How , Alfred O. Hero
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