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We propose randomized subspace gradient methods for high-dimensional constrained optimization. While there have been similarly purposed studies on unconstrained optimization problems, there have been few on constrained optimization problems…

最优化与控制 · 数学 2023-07-10 Ryota Nozawa , Pierre-Louis Poirion , Akiko Takeda

Semantic scene segmentation plays a critical role in a wide range of robotics applications, e.g., autonomous navigation. These applications are accompanied by specific computational restrictions, e.g., operation on low-power GPUs, at…

计算机视觉与模式识别 · 计算机科学 2021-08-26 Maria Tzelepi , Anastasios Tefas

The comprehensive characterization of the structure of complex networks is essential to understand the dynamical processes which guide their evolution. The discovery of the scale-free distribution and the small world property of real…

In this paper, we propose a preliminary definition and analysis of the novel concept of sensor observability index. The goal is to analyse and evaluate the performance of distributed directional or axial-based sensors to observe specific…

机器人学 · 计算机科学 2023-04-20 Christopher Yee Wong , Wael Suleiman

We present a novel two-layer hierarchical reinforcement learning approach equipped with a Goals Relational Graph (GRG) for tackling the partially observable goal-driven task, such as goal-driven visual navigation. Our GRG captures the…

计算机视觉与模式识别 · 计算机科学 2021-03-31 Xin Ye , Yezhou Yang

Sufficient dimension reduction (SDR) is a valuable approach for handling high-dimensional data. Outer Product Gradient (OPG) is an popular approach. However, because of focusing the mean regression function, OPG may ignore some directions…

统计方法学 · 统计学 2024-07-31 Zheng Li , Chong Ding , Wei Gao

In this paper, we address the problem of placing sensor probes in the brain such that the system dynamics' are generically observable. The system dynamics whose states can encode for instance the fire-rating of the neurons or their ensemble…

最优化与控制 · 数学 2015-08-31 Sergio Pequito , Paul Bogdan , George J. Pappas

Given a total sequence in a Hilbert space, we speak of an upper (resp. lower) semi-frame if only the upper (resp. lower) frame bound is valid. Equivalently, for an upper semi-frame, the frame operator is bounded, but has an unbounded…

数学物理 · 物理学 2012-10-12 J-P. Antoine , P. Balazs

We consider the optimization problem of minimizing the logistic loss with gradient descent to train a linear model for binary classification with separable data. With a budget of $T$ iterations, it was recently shown that an accelerated…

机器学习 · 计算机科学 2026-02-16 Michael Crawshaw , Mingrui Liu

We discuss a class of linear control problems in a Hilbert space setting, which covers diverse systems such as hyperbolic and parabolic equations with boundary control and boundary observation even including memory terms. We introduce…

最优化与控制 · 数学 2014-08-04 Rainer Picard , Sascha Trostorff , Marcus Waurick

This paper addresses the inference of spatial dependence in the context of a recently proposed framework. More specifically, the paper focuses on the estimation of model parameters for a class of generalized Gibbs random fields, i.e.,…

统计理论 · 数学 2007-06-13 Samuel Elogne , Dionisis Hristopulos

While the optimization landscape of policy gradient methods has been recently investigated for partially observed linear systems in terms of both static output feedback and dynamical controllers, they only provide convergence guarantees to…

最优化与控制 · 数学 2023-04-25 Feiran Zhao , Xingyun Fu , Keyou You

Boundary detection is essential for a variety of computer vision tasks such as segmentation and recognition. In this paper we propose a unified formulation and a novel algorithm that are applicable to the detection of different types of…

计算机视觉与模式识别 · 计算机科学 2012-02-17 Marius Leordeanu , Rahul Sukthankar , Cristian Sminchisescu

In this paper, we propose a Spatial Robust Mixture Regression model to investigate the relationship between a response variable and a set of explanatory variables over the spatial domain, assuming that the relationships may exhibit complex…

统计方法学 · 统计学 2021-09-30 Wennan Chang , Pengtao Dang , Changlin Wan , Xiaoyu Lu , Yue Fang , Tong Zhao , Yong Zang , Bo Li , Chi Zhang , Sha Cao

We consider the problem of estimating bounds on parameters representing tasks being performed by individual robots in a multirobot system. In our previous work, we derived necessary conditions based on persistency of excitation analysis for…

机器人学 · 计算机科学 2020-11-11 Jaskaran Grover , Changliu Liu , Katia Sycara

This paper addresses problems on the robust structural design of complex networks. More precisely, we address the problem of deploying the minimum number of dedicated sensors, i.e., those measuring a single state variable, that ensure the…

最优化与控制 · 数学 2016-06-13 Xiaofei Liu , Sergio Pequito , Soummya Kar , Bruno Sinopoli , A. Pedro Aguiar

Long Range Dependence (LRD) in functional sequences is characterized in the spectral domain under suitable conditions. Particularly, multifractionally integrated functional autoregressive moving averages processes can be introduced in this…

统计理论 · 数学 2021-10-13 M. Dolores Ruiz-Medina

The concept of the value-gradient is introduced and developed in the context of reinforcement learning. It is shown that by learning the value-gradients exploration or stochastic behaviour is no longer needed to find locally optimal…

神经与进化计算 · 计算机科学 2008-03-26 Michael Fairbank

Several dynamical systems in fields such as engineering, chemistry, biology, and physics show impulsive behavior by reason of unexpected changes at specific times. These behaviors are described by differential systems under impulse effects.…

最优化与控制 · 数学 2024-11-22 Javad A. Asadzade , Nazim I. Mahmudov

In this paper we propose novel global and regional stability analysis conditions based on linear matrix inequalities for a general class of recurrent neural networks. These conditions can be also used for state-feedback control design and a…

系统与控制 · 电气工程与系统科学 2024-09-25 Alessio La Bella , Marcello Farina , William D'Amico , Luca Zaccarian