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Robustness to distributional shift is one of the key challenges of contemporary machine learning. Attaining such robustness is the goal of distributionally robust optimization, which seeks a solution to an optimization problem that is…

机器学习 · 统计学 2020-03-24 Johannes Kirschner , Ilija Bogunovic , Stefanie Jegelka , Andreas Krause

We consider Monte Carlo approximations to the maximum likelihood estimator in models with intractable norming constants. This paper deals with adaptive Monte Carlo algorithms, which adjust control parameters in the course of simulation. We…

统计方法学 · 统计学 2016-12-08 Blazej Miasojedow , Wojciech Niemiro , Jan Palczewski , Wojciech Rejchel

In this paper we consider high dimension models based on dependent observations defined through autoregressive processes. For such models we develop an adaptive efficient estimation method via the robust sequential model selection…

统计理论 · 数学 2021-04-19 Ouerdia Arkoun , Jean-Yves Brua , Serguei Pergamenshchikov

We propose a learning-based robust predictive control algorithm that compensates for significant uncertainty in the dynamics for a class of discrete-time systems that are nominally linear with an additive nonlinear component. Such systems…

系统与控制 · 电气工程与系统科学 2022-12-05 Rohan Sinha , James Harrison , Spencer M. Richards , Marco Pavone

Approximate model-predictive control (AMPC) aims to imitate an MPC's behavior with a neural network, removing the need to solve an expensive optimization problem at runtime. However, during deployment, the parameters of the underlying MPC…

Many Bayesian inference problems involve target distributions whose density functions are computationally expensive to evaluate. Replacing the target density with a local approximation based on a small number of carefully chosen density…

统计计算 · 统计学 2022-07-13 Andrew D. Davis , Youssef Marzouk , Aaron Smith , Natesh Pillai

Model mismatch and process noise are two frequently occurring phenomena that can drastically affect the performance of model predictive control (MPC) in practical applications. We propose a principled way to tune the cost function and the…

系统与控制 · 电气工程与系统科学 2025-06-24 Riccardo Zuliani , Efe C. Balta , John Lygeros

While matrix variate regression models have been studied in many existing works, classical statistical and computational methods for the analysis of the regression coefficient estimation are highly affected by high dimensional and noisy…

机器学习 · 统计学 2022-05-17 Hsin-Hsiung Huang , Feng Yu , Xing Fan , Teng Zhang

We consider the problem of adaptive estimation of the regression function in a framework where we replace ergodicity assumptions (such as independence or mixing) by another structural assumption on the model. Namely, we propose adaptive…

统计理论 · 数学 2010-11-03 Sylvain Delattre , Stéphane Gaïffas

Conformal prediction (CP) provides a comprehensive framework to produce statistically rigorous uncertainty sets for black-box machine learning models. To further improve the efficiency of CP, conformal correction is proposed to fine-tune or…

机器学习 · 计算机科学 2025-12-03 Senrong Xu , Tianyu Wang , Zenan Li , Yuan Yao , Taolue Chen , Feng Xu , Xiaoxing Ma

Incorporating feature selection into a classification or regression method often carries a number of advantages. In this paper we formalize feature selection specifically from a discriminative perspective of improving…

机器学习 · 计算机科学 2013-01-18 Tony S. Jebara , Tommi S. Jaakkola

Conventional compressed sensing (CS) algorithms typically apply a uniform sampling rate to different image blocks. A more strategic approach could be to allocate the number of measurements adaptively, based on each image block's complexity.…

计算机视觉与模式识别 · 计算机科学 2024-02-28 Yujun Huang , Bin Chen , Naiqi Li , Baoyi An , Shu-Tao Xia , Yaowei Wang

In recent years, correntropy has been seccessfully applied to robust adaptive filtering to eliminate adverse effects of impulsive noises or outliers. Correntropy is generally defined as the expectation of a Gaussian kernel between two…

信号处理 · 电气工程与系统科学 2021-11-02 Badong Chen , Yuqing Xie , Zhuang Li , Yingsong Li , Pengju Ren

Markov Chain Monte Carlo (MCMC) methods, such as the Metropolis-Hastings (MH) algorithm, are widely used for Bayesian inference. One of the most important issues for any MCMC method is the convergence of the Markov chain, which depends…

统计计算 · 统计学 2015-11-20 Luca Martino , Jesse Read , David Luengo

In recent years, pattern analysis plays an important role in data mining and recognition, and many variants have been proposed to handle complicated scenarios. In the literature, it has been quite familiar with high dimensionality of data…

机器学习 · 计算机科学 2018-11-09 Miao Cheng , Zunren Liu , Hongwei Zou , Ah Chung Tsoi

Convex regression (CR) is the problem of fitting a convex function to a finite number of noisy observations of an underlying convex function. CR is important in many domains and one of its workhorses is the non-parametric least square…

信息论 · 计算机科学 2020-03-03 Andrea Simonetto

We propose a gradient-free deep reinforcement learning algorithm to solve high-dimensional, finite-horizon stochastic control problems. Although the recently developed deep reinforcement learning framework has achieved great success in…

最优化与控制 · 数学 2025-02-03 Liyao Lyu , Jingrun Chen

This paper addresses the adaptive radar target detection problem in the presence of Gaussian interference with unknown statistical properties. To this end, the problem is first formulated as a binary hypothesis test, and then we derive a…

信号处理 · 电气工程与系统科学 2025-03-05 Chaoran Yin , Tianqi Wang , Linjie Yan , Chengpeng Hao , Alfonso Farina , Danilo Orlando

Most of previous machine learning algorithms are proposed based on the i.i.d. hypothesis. However, this ideal assumption is often violated in real applications, where selection bias may arise between training and testing process. Moreover,…

计算机视觉与模式识别 · 计算机科学 2018-08-24 Zheyan Shen , Peng Cui , Kun Kuang , Bo Li , Peixuan Chen

We introduce a framework for efficient Markov Chain Monte Carlo (MCMC) algorithms targeting discrete-valued high-dimensional distributions, such as posterior distributions in Bayesian variable selection (BVS) problems. We show that many…

统计计算 · 统计学 2021-10-28 Xitong Liang , Samuel Livingstone , Jim Griffin