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Recurrent Neural Network (RNN) and its variations such as Long Short-Term Memory (LSTM) and Gated Recurrent Unit (GRU), have become standard building blocks for learning online data of sequential nature in many research areas, including…

计算与语言 · 计算机科学 2020-05-12 Enmao Diao , Jie Ding , Vahid Tarokh

Many large-scale production networks include thousands types of final products and tens to hundreds thousands types of raw materials and intermediate products. These networks face complicated inventory management decisions, which are often…

最优化与控制 · 数学 2022-01-19 Tan Wan , L. Jeff Hong

This paper presents a set of continuous-time distributed algorithms that solve unconstrained, separable, convex optimization problems over undirected networks with fixed topologies. The algorithms are developed using a Lyapunov function…

系统与控制 · 计算机科学 2011-09-27 Jie Lu , Choon Yik Tang

This paper presents a particle-based optimization method designed for addressing minimization problems with equality constraints, particularly in cases where the loss function exhibits non-differentiability or non-convexity. The proposed…

最优化与控制 · 数学 2026-03-31 José A. Carrillo , Shi Jin , Haoyu Zhang , Yuhua Zhu

Convergence guarantees for optimization over bounded-rank matrices are delicate to obtain because the feasible set is a non-smooth and non-convex algebraic variety. Existing techniques include projected gradient descent, fixed-rank…

最优化与控制 · 数学 2024-06-21 Quentin Rebjock , Nicolas Boumal

Recurrent Neural Networks (RNNs) achieve state-of-the-art results in many sequence-to-sequence modeling tasks. However, RNNs are difficult to train and tend to suffer from overfitting. Motivated by the Data Processing Inequality (DPI), we…

机器学习 · 统计学 2018-05-24 Ziv Aharoni , Gal Rattner , Haim Permuter

In edge intelligence systems, deep neural network (DNN) partitioning and data offloading can provide real-time task inference for resource-constrained mobile devices. However, the inference time of DNNs is typically uncertain and cannot be…

分布式、并行与集群计算 · 计算机科学 2025-09-24 Zhaojun Nan , Yunchu Han , Sheng Zhou , Zhisheng Niu

Recurrent neural networks (RNNs) are a class of neural networks used in sequential tasks. However, in general, RNNs have a large number of parameters and involve enormous computational costs by repeating the recurrent structures in many…

Recurrent Spiking Neural Networks (RSNNs) have emerged as a computationally efficient and brain-inspired learning model. The design of sparse RSNNs with fewer neurons and synapses helps reduce the computational complexity of RSNNs.…

神经与进化计算 · 计算机科学 2024-03-07 Biswadeep Chakraborty , Beomseok Kang , Harshit Kumar , Saibal Mukhopadhyay

Recurrent neural networks (RNNs) with random, but sufficiently strong and balanced coupling display a well known high-dimensional chaotic dynamics. Here, we investigate if externally applied inputs to these RNNs can stabilize globally…

混沌动力学 · 物理学 2024-06-11 Jordan Culp , Wilten Nicola

Multilayer networks provide a more comprehensive framework for exploring real-world and engineering systems than traditional single-layer networks, consisting of multiple interacting networks. However, despite significant research in…

最优化与控制 · 数学 2024-11-12 C. D. Rodríguez-Camargo , A. F. Urquijo-Rodríguez , E. A. Mojica-Nava

We propose an input convex neural network (ICNN)-based self-supervised learning framework to solve continuous constrained optimization problems. By integrating the augmented Lagrangian method (ALM) with the constraint correction mechanism,…

最优化与控制 · 数学 2025-05-08 Kang Liu , Wei Peng , Jianchen Hu

In this paper, we develop a unified framework able to certify both exponential and subexponential convergence rates for a wide range of iterative first-order optimization algorithms. To this end, we construct a family of parameter-dependent…

最优化与控制 · 数学 2018-02-26 Mahyar Fazlyab , Alejandro Ribeiro , Manfred Morari , Victor M. Preciado

This paper presents a framework to tackle constrained combinatorial optimization problems using deep Reinforcement Learning (RL). To this end, we extend the Neural Combinatorial Optimization (NCO) theory in order to deal with constraints in…

机器学习 · 计算机科学 2020-06-23 Ruben Solozabal , Josu Ceberio , Martin Takáč

Optimization plays a central role in intelligent systems and cyber-physical technologies, where speed and reliability of convergence directly impact performance. In control theory, optimization-centric methods are standard: controllers are…

最优化与控制 · 数学 2026-03-23 Liraz Mudrik , Isaac Kaminer , Sean Kragelund , Abram H. Clark

Recurrent neural networks (RNN) have been successfully applied to various sequential decision-making tasks, natural language processing applications, and time-series predictions. Such networks are usually trained through back-propagation…

机器学习 · 计算机科学 2019-12-02 Julia El Zini , Yara Rizk , Mariette Awad

For optimization problems with nonlinear constraints, linearly constrained Lagrangian (LCL) methods sequentially minimize a Lagrangian function subject to linearized constraints. These methods converge rapidly near a solution but may not be…

最优化与控制 · 数学 2007-05-23 Michael P. Friedlander , Michael A Saunders

We present distributed algorithms that can be used by multiple agents to align their estimates with a particular value over a network with time-varying connectivity. Our framework is general in that this value can represent a consensus…

最优化与控制 · 数学 2010-04-20 Angelia Nedić , Asuman Ozdaglar , Pablo A. Parrilo

In this paper, a class of Decentralized Approximate Newton (DEAN) methods for addressing convex optimization on a networked system are developed, where nodes in the networked system seek for a consensus that minimizes the sum of their…

最优化与控制 · 数学 2020-12-01 Hejie Wei , Zhihai Qu , Xuyang Wu , Hao Wang , Jie Lu

This paper introduces a new method to train recurrent neural networks using dynamical trajectory-based optimization. The optimization method utilizes a projected gradient system (PGS) and a quotient gradient system (QGS) to determine the…

信号处理 · 电气工程与系统科学 2019-10-16 Hamid Khodabandehlou , M. Sami Fadali