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We present a robust multiple manifolds structure learning (RMMSL) scheme to robustly estimate data structures under the multiple low intrinsic dimensional manifolds assumption. In the local learning stage, RMMSL efficiently estimates local…

机器学习 · 计算机科学 2012-06-22 Dian Gong , Xuemei Zhao , Gerard Medioni

Fitting an unknown number of hyperplanes to data is a fundamental yet challenging problem in machine learning, characterized by its non-convexity, non-differentiability, and unknown model order. Existing approaches often struggle with local…

机器学习 · 计算机科学 2026-05-28 Zhiqin Cheng , Yu Zhan , Mingjin Zhang , Lingbo Liu , Liang Lin

Support vector machine (SVM) has been one of the most popular learning algorithms, with the central idea of maximizing the minimum margin, i.e., the smallest distance from the instances to the classification boundary. Recent theoretical…

机器学习 · 计算机科学 2020-07-07 Teng Zhang , Zhi-Hua Zhou

In this paper, we address learning problems for high dimensional data. Previously, oblivious random projection based approaches that project high dimensional features onto a random subspace have been used in practice for tackling…

机器学习 · 计算机科学 2016-12-07 Yi Xu , Haiqin Yang , Lijun Zhang , Tianbao Yang

Big data is ubiquitous in practices, and it has also led to heavy computation burden. To reduce the calculation cost and ensure the effectiveness of parameter estimators, an optimal subset sampling method is proposed to estimate the…

统计方法学 · 统计学 2023-11-16 Haohui Han , Liya Fu

We study a ranking and selection (R&S) problem when all solutions share common parametric Bayesian input models updated with the data collected from multiple independent data-generating sources. Our objective is to identify the best system…

统计方法学 · 统计学 2025-02-25 Eunhye Song , Taeho Kim

Recently, multi-objective optimization (MOO) has gained attention for its broad applications in ML, operations research, and engineering. However, MOO algorithm design remains in its infancy and many existing MOO methods suffer from…

机器学习 · 计算机科学 2025-06-26 Zhuqing Liu , Chaosheng Dong , Michinari Momma , Simone Shao , Shaoyuan Xu , Yan Gao , Haibo Yang , Jia Liu

Achieving sample efficiency in online episodic reinforcement learning (RL) requires optimally balancing exploration and exploitation. When it comes to a finite-horizon episodic Markov decision process with $S$ states, $A$ actions and…

机器学习 · 计算机科学 2022-10-18 Gen Li , Laixi Shi , Yuxin Chen , Yuejie Chi

Global optimization of expensive functions has important applications in physical and computer experiments. It is a challenging problem to develop efficient optimization scheme, because each function evaluation can be costly and the…

机器学习 · 统计学 2020-01-22 Ray-Bing Chen , Yuan Wang , C. F. Jeff Wu

We propose a stochastic approximation method for approximating the efficient frontier of chance-constrained nonlinear programs. Our approach is based on a bi-objective viewpoint of chance-constrained programs that seeks solutions on the…

最优化与控制 · 数学 2020-05-29 Rohit Kannan , James Luedtke

Optimal margin Distribution Machine (ODM) is a newly proposed statistical learning framework rooting in the novel margin theory, which demonstrates better generalization performance than the traditional large margin based counterparts.…

机器学习 · 计算机科学 2023-06-13 Yilin Wang , Nan Cao , Teng Zhang , Xuanhua Shi , Hai Jin

Importance sampling is a promising variance reduction technique for Monte Carlo simulation based derivative pricing. Existing importance sampling methods are based on a parametric choice of the proposal. This article proposes an algorithm…

应用统计 · 统计学 2009-04-14 Jan C. Neddermeyer

Very low-yield nuclear tests pose a major verification challenge for the zero-yield standard of the Comprehensive Nuclear-Test-Ban Treaty (CTBT). The zero-yield standard prohibits any explosive experiment that produces a self-sustaining…

Gradient sampling (GS) has proved to be an effective methodology for the minimization of objective functions that may be nonconvex and/or nonsmooth. The most computationally expensive component of a contemporary GS method is the need to…

最优化与控制 · 数学 2021-08-10 Frank E. Curtis , Minhan Li

We consider the problem of jointly estimating the parameters as well as the structure of binary valued Markov Random Fields, in contrast to earlier work that focus on one of the two problems. We formulate the problem as a maximization of…

机器学习 · 统计学 2008-11-11 M. Kolar , E. P. Xing

In-SRAM computing promises energy efficiency, but circuit nonlinearities and PVT variations pose major challenges in designing robust accelerators. To address this, we introduce OPTIMA, a modeling framework that aids in analyzing bit-line…

硬件体系结构 · 计算机科学 2024-11-12 Saeed Seyedfaraji , Severin Jager , Salar Shakibhamedan , Asad Aftab , Semeen Rehman

The paper presents a new efficient and robust method for rare event probability estimation for computational models of an engineering product or a process returning categorical information only, for example, either success or failure. For…

计算工程、金融与科学 · 计算机科学 2022-10-11 Miroslav Vořechovský

Two-sample tests are important areas aiming to determine whether two collections of observations follow the same distribution or not. We propose two-sample tests based on integral probability metric (IPM) for high-dimensional samples…

机器学习 · 统计学 2023-04-21 Jie Wang , Minshuo Chen , Tuo Zhao , Wenjing Liao , Yao Xie

We consider the off-policy estimation problem of estimating the expected reward of a target policy using samples collected by a different behavior policy. Importance sampling (IS) has been a key technique to derive (nearly) unbiased…

机器学习 · 计算机科学 2018-10-31 Qiang Liu , Lihong Li , Ziyang Tang , Dengyong Zhou

Importance sampling (IS) is a popular technique in off-policy evaluation, which re-weights the return of trajectories in the replay buffer to boost sample efficiency. However, training with IS can be unstable and previous attempts to…

机器学习 · 计算机科学 2025-05-20 Chengyang Ying , Zhongkai Hao , Xinning Zhou , Hang Su , Dong Yan , Jun Zhu