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We address the solution of time-varying optimization problems characterized by the sum of a time-varying strongly convex function and a time-invariant nonsmooth convex function. We design an online algorithmic framework based on…

最优化与控制 · 数学 2024-05-07 Nicola Bastianello , Andrea Simonetto , Ruggero Carli

We analyse a general class of bilevel problems, in which the upper-level problem consists in the minimization of a smooth objective function and the lower-level problem is to find the fixed point of a smooth contraction map. This type of…

机器学习 · 统计学 2023-11-17 Riccardo Grazzi , Massimiliano Pontil , Saverio Salzo

Optimization-based solvers play a central role in a wide range of signal processing and communication tasks. However, their applicability in latency-sensitive systems is limited by the sequential nature of iterative methods and the high…

信号处理 · 电气工程与系统科学 2026-03-12 Dvir Avrahami , Amit Milstein , Caroline Chaux , Tirza Routtenberg , Nir Shlezinger

We provide a method to prepare a warm-started quantum state from measurements with an iterative framework to enhance the quantum approximate optimisation algorithm (QAOA). The numerical simulations show the method can effectively address…

量子物理 · 物理学 2025-02-17 Haomu Yuan , Songqinghao Yang , Crispin H. W. Barnes

Douglas-Rachford splitting and its equivalent dual formulation ADMM are widely used iterative methods in composite optimization problems arising in control and machine learning applications. The performance of these algorithms depends on…

最优化与控制 · 数学 2019-06-28 Jacob H. Seidman , Mahyar Fazlyab , Victor M. Preciado , George J. Pappas

Quantum machine learning is an emergent field that continues to draw significant interest for its potential to offer improvements over classical algorithms in certain areas. However, training quantum models remains a challenging task,…

量子物理 · 物理学 2024-11-20 Erik Recio-Armengol , Franz J. Schreiber , Jens Eisert , Carlos Bravo-Prieto

Quadruped robots are used for primary searches during the early stages of indoor fires. A typical primary search involves quickly and thoroughly looking for victims under hazardous conditions and monitoring flammable materials. However,…

机器人学 · 计算机科学 2026-02-04 Baixiao Huang , Baiyu Huang , Yu Hou

Risk-averse total-reward Markov Decision Processes (MDPs) offer a promising framework for modeling and solving undiscounted infinite-horizon objectives. Existing model-based algorithms for risk measures like the entropic risk measure (ERM)…

机器学习 · 计算机科学 2025-10-27 Xihong Su , Jia Lin Hau , Gersi Doko , Kishan Panaganti , Marek Petrik

This research gauges the ability of deep reinforcement learning (DRL) techniques to assist the optimization and control of fluid mechanical systems. It combines a novel, "degenerate" version of the proximal policy optimization (PPO)…

最优化与控制 · 数学 2021-05-19 H. Ghraieb , J. Viquerat , A. Larcher , P. Meliga , E. Hachem

Q-learning is known as one of the fundamental reinforcement learning (RL) algorithms. Its convergence has been the focus of extensive research over the past several decades. Recently, a new finitetime error bound and analysis for Q-learning…

系统与控制 · 电气工程与系统科学 2024-01-17 Donghwna Lee

For its advantage in GPU acceleration and less dependency on human experts, machine learning has been an emerging tool for solving the placement and routing problems, as two critical steps in modern chip design flow. Being still in its…

机器学习 · 计算机科学 2021-12-28 Ruoyu Cheng , Junchi Yan

In recent years, a distributed Douglas-Rachford splitting method (DDRSM) has been proposed to tackle multi-block separable convex optimization problems. This algorithm offers relatively easier subproblems and greater efficiency for…

最优化与控制 · 数学 2024-11-19 Leyu Hu , Jiaxin Xie , Xingju Cai , Deren Han

Recent advances in incorporating neural networks into particle filters provide the desired flexibility to apply particle filters in large-scale real-world applications. The dynamic and measurement models in this framework are learnable…

机器学习 · 计算机科学 2021-03-30 Hao Wen , Xiongjie Chen , Georgios Papagiannis , Conghui Hu , Yunpeng Li

This paper presents a data-integrated framework for learning the dynamics of fractional-order nonlinear systems in both discrete-time and continuous-time settings. The proposed framework consists of two main steps. In the first step,…

系统与控制 · 电气工程与系统科学 2025-06-19 Bahram Yaghooti , Chengyu Li , Bruno Sinopoli

Deep neural networks (DNNs) are often trained on the premise that the complete training data set is provided ahead of time. However, in real-world scenarios, data often arrive in chunks over time. This leads to important considerations…

机器学习 · 计算机科学 2023-03-21 Vijaya Raghavan T. Ramkumar , Elahe Arani , Bahram Zonooz

In this paper, a new weighted first-order formulation is proposed for solving the anisotropic diffusion equations with deep neural networks. For many numerical schemes, the accurate approximation of anisotropic heat flux is crucial for the…

数值分析 · 数学 2022-05-16 Hui Xie , Chuanlei Zhai , Li Liu , Heng Yong

In this paper, we consider a class of nonconvex complex quadratic programming (CQP) problems, which find a broad spectrum of signal processing applications. By using the polar coordinate representations of the complex variables, we first…

信息论 · 计算机科学 2020-08-20 Cheng Lu , Ya-Feng Liu , Jing Zhou

Embedding layers are commonly used to map discrete symbols into continuous embedding vectors that reflect their semantic meanings. Despite their effectiveness, the number of parameters in an embedding layer increases linearly with the…

机器学习 · 计算机科学 2020-06-29 Ting Chen , Lala Li , Yizhou Sun

A large amount of data has been generated by grid operators solving AC optimal power flow (ACOPF) throughout the years, and we explore how leveraging this data can be used to help solve future ACOPF problems. We use this data to train a…

最优化与控制 · 数学 2019-05-23 Kyri Baker

In this paper, we consider nonconvex decentralised optimisation and learning over a network of distributed agents. We develop an ADMM algorithm based on the Randomised Block Coordinate Douglas-Rachford splitting method which enables agents…

最优化与控制 · 数学 2025-07-31 Behnam Mafakheri , Jonathan H. Manton , Iman Shames