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This manuscript develops a new framework to analyze and design iterative optimization algorithms built on the notion of Integral Quadratic Constraints (IQC) from robust control theory. IQCs provide sufficient conditions for the stability of…

Optimization and Control · Mathematics 2021-05-27 Laurent Lessard , Benjamin Recht , Andrew Packard

Optimal transport (OT) and Gromov-Wasserstein (GW) alignment provide interpretable geometric frameworks for comparing, transforming, and aggregating heterogeneous datasets -- tasks ubiquitous in data science and machine learning. Because…

Machine Learning · Computer Science 2025-12-04 Sanjit Dandapanthula , Aleksandr Podkopaev , Shiva Prasad Kasiviswanathan , Aaditya Ramdas , Ziv Goldfeld

Estimating causal effects for survival outcomes in the high-dimensional setting is an extremely important topic for many biomedical applications as well as areas of social sciences. We propose a new orthogonal score method for treatment…

Methodology · Statistics 2024-12-04 Jue Hou , Jelena Bradic , Ronghui Xu

Large observational datasets, including those derived from electronic health records, are a valuable resource for medical research but are often affected by missingness, measurement error, and misclassification. Two-phase sampling with…

Methodology · Statistics 2026-03-23 Jasper B. Yang , Bryan E. Shepherd , Thomas Lumley , Pamela A. Shaw

We propose a new weighted average estimator for the high dimensional parameters under the distributed learning system, in which the weight assigned to each coordinate is precisely proportional to the inverse of the variance of the local…

Methodology · Statistics 2025-02-06 Jun Lu , Xiaoyu Mao , Mengyao Li , Chenping Hou

This paper introduces a high-performance hybrid algorithm, called Hybrid Hypervolume Maximization Algorithm (H2MA), for multi-objective optimization that alternates between exploring the decision space and exploiting the already obtained…

Neural and Evolutionary Computing · Computer Science 2015-06-18 Conrado Silva Miranda , Fernando José Von Zuben

The paper deals with a multiobjective combinatorial optimization problem with $K$ linear cost functions. The popular Ordered Weighted Averaging (OWA) criterion is used to aggregate the cost functions and compute a solution. It is well known…

Data Structures and Algorithms · Computer Science 2018-04-11 André Chassein , Marc Goerigk , Adam Kasperski , Paweł Zieliński

Model Weight Averaging (MWA) is a technique that seeks to enhance model's performance by averaging the weights of multiple trained models. This paper first empirically finds that 1) the vanilla MWA can benefit the class-imbalanced learning,…

Computer Vision and Pattern Recognition · Computer Science 2024-12-05 Zitong Huang , Ze Chen , Bowen Dong , Chaoqi Liang , Erjin Zhou , Wangmeng Zuo

The Best-Worst Method (BWM) is a well-known Multi-Criteria Decision-Making (MCDM) method used to calculate criteria-weights in many real-life applications. It was observed that the decision judgments used to calculate weights in BWM may be…

Optimization and Control · Mathematics 2025-01-29 Harshit M Ratandhara , Mohit Kumar

A hybrid evolutionary algorithm with importance sampling method is proposed for multi-dimensional optimization problems in this paper. In order to make use of the information provided in the search process, a set of visited solutions is…

Neural and Evolutionary Computing · Computer Science 2013-08-26 Guanghui Huang , Zhifeng Pan

The selection of initial parameter values for gradient-based optimization of deep neural networks is one of the most impactful hyperparameter choices in deep learning systems, affecting both convergence times and model performance. Yet…

Machine Learning · Computer Science 2020-01-17 Wei Hu , Lechao Xiao , Jeffrey Pennington

Two-phase designs measure variables of interest on a subcohort where the outcome and covariates are readily available or cheap to collect on all individuals in the cohort. Given limited resource availability, it is of interest to find an…

Methodology · Statistics 2022-01-11 Tong Chen , Thomas Lumley

Orthogonal greedy learning (OGL) is a stepwise learning scheme that adds a new atom from a dictionary via the steepest gradient descent and build the estimator via orthogonal projecting the target function to the space spanned by the…

Machine Learning · Computer Science 2014-11-14 Lin Xu , Shaobo Lin , Jinshan Zeng , Zongben Xu

Unbiased assessment of the predictivity of models learnt by supervised machine-learning methods requires knowledge of the learned function over a reserved test set (not used by the learning algorithm). The quality of the assessment depends,…

Statistics Theory · Mathematics 2022-07-11 Elias Fekhari , Bertrand Iooss , Joseph Muré , Luc Pronzato , Maria-João Rendas

We consider estimation of average treatment effects given observational data with high-dimensional pretreatment variables. Existing methods for this problem typically assume some form of sparsity for the regression functions. In this work,…

Methodology · Statistics 2024-04-12 Yuhao Wang , Rajen D. Shah

Variable selection in high-dimensional scenarios is of great interested in statistics. One application involves identifying differentially expressed genes in genomic analysis. Existing methods for addressing this problem have some limits or…

Methodology · Statistics 2018-06-19 Liuhua Peng , Long Qu , Dan Nettleton

Mendelian randomization uses genetic variants as instrumental variables to make causal inferences about the effects of modifiable risk factors on diseases from observational data. One of the major challenges in Mendelian randomization is…

Methodology · Statistics 2024-10-29 Youpeng Su , Siqi Xu , Yilei Ma , Ping Yin , Wing Kam Fung , Hongwei Jiang , Peng Wang

In this paper a class of discrete optimization problems with uncertain costs is discussed. The uncertainty is modeled by introducing a scenario set containing a finite number of cost scenarios. A probability distribution in the scenario set…

Data Structures and Algorithms · Computer Science 2015-10-09 Adam Kasperski , Pawel Zielinski

In this paper, a robust weighted score for unbalanced data (ROWSU) is proposed for selecting the most discriminative feature for high dimensional gene expression binary classification with class-imbalance problem. The method addresses one…

Machine Learning · Statistics 2024-01-24 Zardad Khan , Amjad Ali , Saeed Aldahmani

The DeepWalk algorithm is used to assign embedding vectors to nodes in the Atomspace weighted, labeled hypergraph that is used to represent knowledge in the OpenCog AGI system, in the context of an application to probabilistic inference…

Artificial Intelligence · Computer Science 2020-05-27 Ben Goertzel , Mike Duncan , Debbie Duong , Nil Geisweiller , Hedra Seid , Abdulrahman Semrie , Man Hin Leung , Matthew Ikle'
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