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We show that scale-adjusted versions of the centroid-based classifier enjoys optimal properties when used to discriminate between two very high-dimensional populations where the principal differences are in location. The scale adjustment…

Statistics Theory · Mathematics 2010-02-26 Peter Hall , Tung Pham

Semi-supervised learning is pervasive in real-world applications, where only a few labeled data are available and large amounts of instances remain unlabeled. Since AUC is an important model evaluation metric in classification, directly…

Machine Learning · Computer Science 2019-07-30 Wanli Shi , Bin Gu , Xiang Li , Xiang Geng , Heng Huang

Decision diagrams for classification have some notable advantages over decision trees, as their internal connections can be determined at training time and their width is not bound to grow exponentially with their depth. Accordingly,…

Machine Learning · Computer Science 2022-05-31 Alexandre M. Florio , Pedro Martins , Maximilian Schiffer , Thiago Serra , Thibaut Vidal

Neural language models process sequences of words, but the mathematical operations inside them are insensitive to the order in which words appear. Positional encodings are the component added to remedy this. Despite their importance,…

Machine Learning · Computer Science 2026-04-08 Giansalvo Cirrincione

In the Best-$K$ identification problem (Best-$K$-Arm), we are given $N$ stochastic bandit arms with unknown reward distributions. Our goal is to identify the $K$ arms with the largest means with high confidence, by drawing samples from the…

Machine Learning · Computer Science 2017-05-22 Haotian Jiang , Jian Li , Mingda Qiao

Index structures are fundamental for efficient query processing on large-scale datasets. Learned indexes model the indexing process as a prediction problem to overcome the inherent trade-offs of traditional indexes. However, most existing…

Databases · Computer Science 2026-03-31 Yuzhen Chen , Bin Yao

The statistical efficiency of randomized clinical trials can be improved by incorporating information from baseline covariates (i.e., pre-treatment patient characteristics). This can be done in the design stage using stratified (permutated…

Methodology · Statistics 2025-02-04 Zhiwei Zhang

To adapt large language models (LLMs) to ranking tasks, existing list-wise methods, represented by list-wise Direct Preference Optimization (DPO), focus on optimizing partial-order or full-order list ranking consistency for LLMs to enhance…

Information Retrieval · Computer Science 2025-06-03 Shihao Cai , Chongming Gao , Yang Zhang , Wentao Shi , Jizhi Zhang , Keqin Bao , Qifan Wang , Fuli Feng

Large-scale distributed optimization is of great importance in various applications. For data-parallel based distributed learning, the inter-node gradient communication often becomes the performance bottleneck. In this paper, we propose the…

Computer Vision and Pattern Recognition · Computer Science 2018-06-22 Jiaxiang Wu , Weidong Huang , Junzhou Huang , Tong Zhang

This paper presents a novel distributed robust optimization scheme for steering distributions of multi-agent systems under stochastic and deterministic uncertainty. Robust optimization is a subfield of optimization which aims to discover an…

Robotics · Computer Science 2025-01-31 Arshiya Taj Abdul , Augustinos D. Saravanos , Evangelos A. Theodorou

With the proliferation of spatio-textual data, Top-k KNN spatial keyword queries (TkQs), which return a list of objects based on a ranking function that considers both spatial and textual relevance, have found many real-life applications.…

Information Retrieval · Computer Science 2024-11-15 Ziqi Yin , Shanshan Feng , Shang Liu , Gao Cong , Yew Soon Ong , Bin Cui

In this paper, we introduce a deep multiple description coding (MDC) framework optimized by minimizing multiple description (MD) compressive loss. First, MD multi-scale-dilated encoder network generates multiple description tensors, which…

Computer Vision and Pattern Recognition · Computer Science 2020-01-14 Lijun Zhao , Huihui Bai , Anhong Wang , Yao Zhao

Network resource allocation shows revived popularity in the era of data deluge and information explosion. Existing stochastic optimization approaches fall short in attaining a desirable cost-delay tradeoff. Recognizing the central role of…

Systems and Control · Computer Science 2017-11-02 Tianyi Chen , Qing Ling , Georgios B. Giannakis

We address the problem of estimating a high-dimensional matrix from linear measurements, with a focus on designing optimal rank-adaptive algorithms. These algorithms infer the matrix by estimating its singular values and the corresponding…

Information Theory · Computer Science 2026-05-12 Frédéric Zheng , Yassir Jedra , Alexandre Proutiere

We propose a novel direct transcription and solution method for solving nonlinear, continuous-time dynamic optimization problems. Instead of forcing the dynamic constraints to be satisfied only at a selected number of points as in direct…

Optimization and Control · Mathematics 2022-01-25 Yuanbo Nie , Eric C. Kerrigan

In several applications of real-time matching of demand to supply in online marketplaces, the platform allows for some latency to batch the demand and improve the efficiency. Motivated by these applications, we study the optimal trade-off…

Data Structures and Algorithms · Computer Science 2022-12-01 Yiding Feng , Rad Niazadeh

We study distributed stochastic gradient (D-SG) method and its accelerated variant (D-ASG) for solving decentralized strongly convex stochastic optimization problems where the objective function is distributed over several computational…

Optimization and Control · Mathematics 2021-10-05 Alireza Fallah , Mert Gurbuzbalaban , Asuman Ozdaglar , Umut Simsekli , Lingjiong Zhu

This paper discusses the application of L1-regularized maximum entropy modeling or SL1-Max [9] to multiclass categorization problems. A new modification to the SL1-Max fast sequential learning algorithm is proposed to handle conditional…

Machine Learning · Computer Science 2007-05-23 Patrick Haffner , Steven Phillips , Rob Schapire

In this paper we consider a distributed convex optimization problem over time-varying networks. We propose a dual method that converges R-linearly to the optimal point given that the agents' objective functions are strongly convex and have…

Optimization and Control · Mathematics 2018-04-23 Marie Maros , Joakim Jaldén

In this paper we propose a new class of coupling methods for the sensitivity analysis of high dimensional stochastic systems and in particular for lattice Kinetic Monte Carlo. Sensitivity analysis for stochastic systems is typically based…

Numerical Analysis · Mathematics 2015-06-18 Georgios Arampatzis , Markos Katsoulakis