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In general, many dynamic processes are involved with interacting variables, from physical systems to sociological analysis. The interplay of components in the system can give rise to confounding dynamic behavior. Many approaches model…

人工智能 · 计算机科学 2021-06-02 Qianyu Feng , Bang Zhang , Yi Yang

In this paper, we study temporal splitting algorithms for multiscale problems. The exact fine-grid spatial problems typically require some reduction in degrees of freedom. Multiscale algorithms are designed to represent the fine-scale…

数值分析 · 数学 2021-06-02 Yalchin Efendiev , Sai-Mang Pun , Petr N. Vabishchevich

A large class of traditional graph and data mining algorithms can be concisely expressed in Datalog, and other Logic-based languages, once aggregates are allowed in recursion. In fact, for most BigData algorithms, the difficult semantic…

编程语言 · 计算机科学 2019-07-25 Ariyam Das , Carlo Zaniolo

Cloud services must be continuously monitored to guarantee that misbehaviors can be timely revealed, compensated, and fixed. While simple applications can be easily monitored and controlled, monitoring non-trivial cloud systems with dynamic…

分布式、并行与集群计算 · 计算机科学 2023-09-22 Alessandro Tundo , Marco Mobilio , Oliviero Riganelli , Leonardo Mariani

In this paper, we consider a class of nonconvex and nonsmooth fractional programming problems, that involve the sum of a convex, possibly nonsmooth function composed with a linear operator and a differentiable, possibly nonconvex function…

最优化与控制 · 数学 2025-03-18 Radu Ioan Boţ , Guoyin Li , Min Tao

Fast, gradient-based structural optimization has long been limited to a highly restricted subset of problems -- namely, density-based compliance minimization -- for which gradients can be analytically derived. For other objective functions,…

计算工程、金融与科学 · 计算机科学 2024-09-17 Keith J. Lee , Yijiang Huang , Caitlin T. Mueller

Optimal control of complex environments with robotic systems faces two complementary and intertwined challenges: efficient organization of sensory state information and far-sighted action planning. Because the reinforcement learning…

机器学习 · 计算机科学 2026-01-30 Abdullah Akgül , Gulcin Baykal , Manuel Haußmann , Mustafa Mert Çelikok , Melih Kandemir

In this paper we develop a statistical theory and an implementation of deep learning models. We show that an elegant variable splitting scheme for the alternating direction method of multipliers optimises a deep learning objective. We allow…

机器学习 · 统计学 2015-09-22 Nicholas G. Polson , Brandon T. Willard , Massoud Heidari

We consider continuous-time dynamics for distributed optimization with set constraints in the paper. To handle the computational complexity of projection-based dynamics due to solving a general quadratic optimization subproblem with…

最优化与控制 · 数学 2022-06-24 Guanpu Chen , Peng Yi , Yiguang Hong , Jie Chen

We consider the learning of algorithmic tasks by mere observation of input-output pairs. Rather than studying this as a black-box discrete regression problem with no assumption whatsoever on the input-output mapping, we concentrate on tasks…

机器学习 · 计算机科学 2018-10-16 Alex Nowak-Vila , David Folqué , Joan Bruna

This paper develops a probabilistic anticipation algorithm for dynamic objects observed by an autonomous robot in an urban environment. Predictive Gaussian mixture models are used due to their ability to probabilistically capture continuous…

机器人学 · 计算机科学 2013-09-04 Frank Havlak , Mark Campbell

We propose a methodology for studying the performance of common splitting methods through semidefinite programming. We prove tightness of the methodology and demonstrate its value by presenting two applications of it. First, we use the…

最优化与控制 · 数学 2020-05-01 Ernest K. Ryu , Adrien B. Taylor , Carolina Bergeling , Pontus Giselsson

This work recasts time-dependent optimal control problems governed by partial differential equations in a Dynamic Mode Decomposition with control framework. Indeed, since the numerical solution of such problems requires a lot of…

最优化与控制 · 数学 2022-03-25 Eleonora Donadini , Maria Strazzullo , Marco Tezzele , Gianluigi Rozza

With the explosion of distributed energy resources (DERs), voltage regulation in distribution networks has been facing a great challenge. This paper derives an asynchronous distributed voltage control strategy based on the partial…

系统与控制 · 电气工程与系统科学 2019-08-20 Zhaojian Wang , Feng Liu , Yifan Su , Boyu Qin

We consider the problem of simultaneous control and parameter estimation when the model is available only as a differentiable physics simulator. We propose a receding-horizon control framework in which a model predictive control (MPC)…

最优化与控制 · 数学 2026-04-07 Alan Williams , Alp Sunol

This paper introduces a unified framework for accelerated gradient methods through the variable and operator splitting (VOS). The operator splitting decouples the optimization process into simpler subproblems, and more importantly, the…

最优化与控制 · 数学 2025-05-08 Long Chen , Luo Hao , Jingrong Wei

Recursive partitioning approaches producing tree-like models are a long standing staple of predictive modeling, in the last decade mostly as ``sub-learners'' within state of the art ensemble methods like Boosting and Random Forest. However,…

机器学习 · 统计学 2015-12-14 Amichai Painsky , Saharon Rosset

A new formulation of Stochastic Model Predictive Output Feedback Control is presented and analyzed as a translation of Stochastic Optimal Output Feedback Control into a receding horizon setting. This requires lifting the design into a…

最优化与控制 · 数学 2020-05-01 Martin A Sehr , Robert R Bitmead

We present an algorithm, based on the Differential Dynamic Programming framework, to handle trajectory optimization problems in which the horizon is determined online rather than fixed a priori. This algorithm exhibits exact one-step…

机器人学 · 计算机科学 2021-11-18 Kyle Stachowicz , Evangelos A. Theodorou

We introduce a fast and scalable method for solving quadratic programs with conditional value-at-risk (CVaR) constraints. While these problems can be formulated as standard quadratic programs, the number of variables and constraints grows…

最优化与控制 · 数学 2026-04-14 Eric Luxenberg , David Pérez-Piñeiro , Steven Diamond , Stephen Boyd