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In this paper, we propose a distributed algorithm, called Directed-Distributed Gradient Descent (D-DGD), to solve multi-agent optimization problems over directed graphs. Existing algorithms mostly deal with similar problems under the…

Optimization and Control · Mathematics 2016-02-02 Chenguang Xi , Qiong Wu , Usman A. Khan

This paper presents a powerful swarm intelligence meta-heuristic optimization algorithm called Dynamic Cat Swarm Optimization. The formulation is through modifying the existing Cat Swarm Optimization. The original Cat Swarm Optimization…

Neural and Evolutionary Computing · Computer Science 2021-07-20 Aram Ahmed , Tarik A. Rashid , Soran Saeed

Particle swarm optimization is used in several combinatorial optimization problems. In this work, particle swarms are used to solve quadratic programming problems with quadratic constraints. The approach of particle swarms is an example for…

Artificial Intelligence · Computer Science 2014-07-24 Deepak Kumar , A G Ramakrishnan

Dimensionality reduction (DR) of data is a crucial issue for many machine learning tasks, such as pattern recognition and data classification. In this paper, we present a quantum algorithm and a quantum circuit to efficiently perform linear…

Quantum Physics · Physics 2023-04-03 Kai Yu , Gong-De Guo , Song Lin

Despite the integration of search tools, Deep Search Agents often suffer from a misalignment between reasoning-driven queries and the underlying web indexing structures. Existing frameworks treat the search engine as a static utility,…

Machine Learning · Computer Science 2026-03-10 Zixuan Yu , Zhenheng Tang , Tongliang Liu , Chengqi Zhang , Xiaowen Chu , Bo Han

Kaczmarz is one of the most prominent iterative solvers for linear systems of equations. Despite substantial research progress in recent years, the state-of-the-art Kaczmarz algorithms have not fully resolved the seesaw effect, a major…

Numerical Analysis · Mathematics 2025-09-24 Aneesh Panchal , Ratikanta Behera

In recent years, to sustain the resource-intensive computational needs for training deep neural networks (DNNs), it is widely accepted that exploiting the parallelism in large-scale computing clusters is critical for the efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-31 Menglu Yu , Chuan Wu , Bo Ji , Jia Liu

This work develops tools to understand how quantum information spreads, scrambles, and is reshaped by measurements in many-body systems. First, I study scrambling and pseudorandomness in the Brownian Sachdev-Ye-Kitaev (SYK) model,…

Quantum Physics · Physics 2025-12-12 Anastasiia Tiutiakina

Variational quantum algorithms, optimized using gradient-based methods, often exhibit sub-optimal convergence performance due to their dependence on Euclidean geometry. Quantum natural gradient descent (QNGD) is a more efficient method that…

Quantum Physics · Physics 2025-06-05 Mohammad Aamir Sohail , Mohsen Heidari , S. Sandeep Pradhan

Within the realm of early fault-tolerant quantum computing (EFTQC), quantum Krylov subspace diagonalization (QKSD) has emerged as a promising quantum algorithm for the approximate Hamiltonian diagonalization via projection onto the quantum…

Quantum Physics · Physics 2025-04-11 Gwonhak Lee , Seonghoon Choi , Joonsuk Huh , Artur F. Izmaylov

The new phenomenon of semiquantum chaos is analyzed in a classically regular double-well oscillator model. Here it arises from a doubling of the number of effectively classical degrees of freedom, which are nonlinearly coupled in a Gaussian…

chao-dyn · Physics 2009-10-28 T. Blum , H. -Th. Elze

We forecast two different chaotic dynamics of the quasiperiodically forced logistic map using the well-known deep learning framework Long Short-Term Memory. We generate two data sets and use one in the training process and the other in the…

Machine Learning · Computer Science 2022-03-22 J. Meiyazhagan , M. Senthilvelan

In this paper, we concentrate on a particular category of quadratically constrained quadratic programming (QCQP): nonconvex QCQP with one equality constraint. This type of QCQP problem optimizes a quadratic objective under a fixed…

Optimization and Control · Mathematics 2025-06-05 Licheng Zhao , Rui Zhou , Wenqiang Pu

Particle swarm optimization algorithm is a stochastic meta-heuristic solving global optimization problems appreciated for its efficacity and simplicity. It consists in a swarm of particles interacting among themselves and searching the…

Probability · Mathematics 2024-09-23 Vianney Bruned , André Mas , Sylvain Wlodarczyk

Automatic industrial scheduling, aiming at optimizing the sequence of jobs over limited resources, is widely needed in manufacturing industries. However, existing scheduling systems heavily rely on heuristic algorithms, which either…

Artificial Intelligence · Computer Science 2020-08-11 Longkang Li , Hui-Ling Zhen , Mingxuan Yuan , Jiawen Lu , XialiangTong , Jia Zeng , Jun Wang , Dirk Schnieders

Many numerical methods, such as tensor network approaches including density matrix renormalization group calculations, have been developed to calculate the extreme/ground states of quantum many-body systems. However, little attention has…

Computational Physics · Physics 2020-11-04 Haoyu Guan , Wenxian Zhang

In a robotic swarm, parameters such as position and proximity to the target can be described in terms of probability amplitudes. This idea led to recent studies on a quantum approach to the definition of the swarm, including a block-matrix…

Robotics · Computer Science 2026-03-17 Maria Mannone , Mahathi Anand , Peppino Fazio , Abdalla Swikir

Quantum computing (QC) is expected to solve incredibly difficult problems, including finding optimal solutions to combinatorial optimization problems. However, to date, QC alone is still far to demonstrate this capability except on…

Emerging Technologies · Computer Science 2025-12-19 James B. Holliday , Eneko Osaba , Khoa Luu

High-dimensional portfolio optimization faces significant computational challenges under complex constraints, with traditional optimization methods struggling to balance convergence speed and global exploration capability. To address this,…

Neural and Evolutionary Computing · Computer Science 2026-04-06 Mingyang Yu , Jiaqi Zhang , Haorui Yang , Adam Slowik , Jun Zhang , Jing Xu

Quality diversity~(QD) is a branch of evolutionary computation that gained increasing interest in recent years. The Map-Elites QD approach defines a feature space, i.e., a partition of the search space, and stores the best solution for each…

Neural and Evolutionary Computing · Computer Science 2023-07-06 Jakob Bossek , Dirk Sudholt
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