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For model-free reinforcement learning, one of the main difficulty of stochastic Bellman residual minimization is the double sampling problem, i.e., while only one single sample for the next state is available in the model-free setting, two…

Optimization and Control · Mathematics 2020-09-30 Yuhua Zhu , Lexing Ying

In this paper, we present a dual representation of the influence functions, whose computational complexity scales with dataset size rather than model size. Both analytically and experimentally, we show that this representation can be an…

Machine Learning · Computer Science 2026-05-13 Zhenhuan Sun , Shahrokh Valaee

Efficient and accurate low-rank approximations of multiple data sources are essential in the era of big data. The scaling of kernel-based learning algorithms to large datasets is limited by the O(n^2) computation and storage complexity of…

Machine Learning · Computer Science 2020-12-10 Martin Stražar , Tomaž Curk

Co-clustering simultaneously clusters rows and columns, revealing more fine-grained groups. However, existing co-clustering methods suffer from poor scalability and cannot handle large-scale data. This paper presents a novel and scalable…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-20 Zihan Wu , Zhaoke Huang , Hong Yan

We study the problem of distribution to real-value regression, where one aims to regress a mapping $f$ that takes in a distribution input covariate $P\in \mathcal{I}$ (for a non-parametric family of distributions $\mathcal{I}$) and outputs…

Machine Learning · Statistics 2014-03-11 Junier B. Oliva , Willie Neiswanger , Barnabas Poczos , Jeff Schneider , Eric Xing

Enhancing classical machine learning (ML) algorithms through quantum kernels is a rapidly growing research topic in quantum machine learning (QML). A key challenge in using kernels -- both classical and quantum -- is that ML workflows…

Quantum Physics · Physics 2021-12-17 Annie Naveh , Imogen Fitzgerald , Anna Phan , Andrew Lockwood , Travis L. Scholten

Many state-of-the-art subspace clustering methods follow a two-step process by first constructing an affinity matrix between data points and then applying spectral clustering to this affinity. Most of the research into these methods focuses…

Machine Learning · Computer Science 2021-04-21 Derek Lim , René Vidal , Benjamin D. Haeffele

Empirical data can often be considered as samples from a set of probability distributions. Kernel methods have emerged as a natural approach for learning to classify these distributions. Although numerous kernels between distributions have…

Machine Learning · Computer Science 2024-12-02 Oleksii Kachaiev , Stefano Recanatesi

We present approximation algorithms for some variants of center-based clustering and related problems in the fully dynamic setting, where the pointset evolves through an arbitrary sequence of insertions and deletions. Specifically, we…

Data Structures and Algorithms · Computer Science 2023-09-06 Paolo Pellizzoni , Andrea Pietracaprina , Geppino Pucci

The modern scale of data has brought new challenges to Bayesian inference. In particular, conventional MCMC algorithms are computationally very expensive for large data sets. A promising approach to solve this problem is embarrassingly…

Machine Learning · Statistics 2015-10-27 Xiangyu Wang , Fangjian Guo , Katherine A. Heller , David B. Dunson

This work focuses on learning optimization problems with quadratical interactions between variables, which go beyond the additive models of traditional linear learning. We investigate more specifically two different methods encountered in…

Machine Learning · Computer Science 2021-02-10 Mingyuan Jiu , Nelly Pustelnik , Stefan Janaqi , Mériam Chebre , Lin Qi , Philippe Ricoux

We study two-stage stochastic optimization problems with random recourse, where the adaptive decisions are multiplied with the uncertain parameters in both the objective function and the constraints. To mitigate the computational…

Optimization and Control · Mathematics 2021-10-05 Xiangyi Fan , Grani A. Hanasusanto

We propose a new technique for constructing low-rank approximations of matrices that arise in kernel methods for machine learning. Our approach pairs a novel automatically constructed analytic expansion of the underlying kernel function…

Machine Learning · Computer Science 2022-02-09 John Paul Ryan , Anil Damle

An algorithm is proposed, analyzed, and tested experimentally for solving stochastic optimization problems in which the decision variables are constrained to satisfy equations defined by deterministic, smooth, and nonlinear functions. It is…

Optimization and Control · Mathematics 2021-07-09 Frank E. Curtis , Daniel P. Robinson , Baoyu Zhou

This study presents an efficient incremental/decremental approach for big streams based on Kernel Ridge Regression (KRR), a frequently used data analysis in cloud centers. To avoid reanalyzing the whole dataset whenever sensors receive new…

Machine Learning · Computer Science 2017-11-10 Bo-Wei Chen , Nik Nailah Binti Abdullah , Sangoh Park

In this paper, we consider the linear programming (LP) formulation for deep reinforcement learning. The number of the constraints depends on the size of state and action spaces, which makes the problem intractable in large or continuous…

Optimization and Control · Mathematics 2021-05-21 Yongfeng Li , Mingming Zhao , Weijie Chen , Zaiwen Wen

The increasing complexity of deep learning recommendation models (DLRM) has led to a growing need for large-scale distributed systems that can efficiently train vast amounts of data. In DLRM, the sparse embedding table is a crucial…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-07 Xin Zhang , Quanyu Zhu , Liangbei Xu , Zain Huda , Wang Zhou , Jin Fang , Dennis van der Staay , Yuxi Hu , Jade Nie , Jiyan Yang , Chunzhi Yang

This paper introduces a new kernel-based classifier by viewing kernel matrices as generalized graphs and leveraging recent progress in graph embedding techniques. The proposed method facilitates fast and scalable kernel matrix embedding,…

Machine Learning · Computer Science 2024-11-12 Cencheng Shen

Cluster analysis plays an important role in decision making process for many knowledge-based systems. There exist a wide variety of different approaches for clustering applications including the heuristic techniques, probabilistic models,…

Artificial Intelligence · Computer Science 2017-03-09 Kayvan Bijari , Hadi Zare , Hadi Veisi , Hossein Bobarshad

Deep neural networks have recently achieved state of the art performance thanks to new training algorithms for rapid parameter estimation and new regularization methods to reduce overfitting. However, in practice the network architecture…

Machine Learning · Computer Science 2016-03-04 Minyoung Kim , Luca Rigazio