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We analyze the convergence rate of various momentum-based optimization algorithms from a dynamical systems point of view. Our analysis exploits fundamental topological properties, such as the continuous dependence of iterates on their…

最优化与控制 · 数学 2021-04-13 Michael Muehlebach , Michael I. Jordan

Processing-in-memory (PIM) architectures are emerging to reduce data movement in data-intensive applications. These architectures seek to exploit the same physical devices for both information storage and logic, thereby dwarfing the…

硬件体系结构 · 计算机科学 2023-05-09 Orian Leitersdorf , Ronny Ronen , Shahar Kvatinsky

Ising Machines (IMs) are physical systems designed to find solutions to combinatorial optimization (CO) problems mapped onto the IM via the coupling strengths of its binary spins. Using the intrinsic dynamics and different annealing…

介观与纳米尺度物理 · 物理学 2020-06-04 Afshin Houshang , Mohammad Zahedinejad , Shreyas Muralidhar , Jakub Checinski , Ahmad A. Awad , Johan Åkerman

In combinatorial optimization, probabilistic Ising machines (PIMs) have gained significant attention for their acceleration of Monte Carlo sampling with the potential to reduce time-to-solution in finding approximate ground states. However,…

A spatial photonic Ising machine (SPIM) handles large-scale combinatorial optimization problems owing to optical processing with spatial parallelism. However, iterative feedback in the search for optimal solutions limits processing speed…

光学 · 物理学 2025-02-27 Suguru Shimomura , Jun Tanida , Yusuke Ogura

Quantum annealing is typically regarded as a tool for combinatorial optimization, but its coherent dynamics also offer potential for machine learning. We present a model that encodes classical data into an Ising Hamiltonian, evolves it on a…

Computer Vision (CV) labelling algorithms play a pivotal role in the domain of low-level vision. For decades, it has been known that these problems can be elegantly formulated as discrete energy minimization problems derived from…

量子物理 · 物理学 2023-12-21 Shahrokh Heidari , Michael J. Dinneen , Patrice Delmas

Quantum Error Mitigation (QEM) enables the extraction of high-quality results from the presently-available noisy quantum computers. In this approach, the effect of the noise on observables of interest can be mitigated using multiple…

量子物理 · 物理学 2023-11-23 Ivan Henao , Jader P. Santos , Raam Uzdin

Continual demand for memory bandwidth has made it worthwhile for memory vendors to reassess processing in memory (PIM), which enables higher bandwidth by placing compute units in/near-memory. As such, memory vendors have recently proposed…

硬件体系结构 · 计算机科学 2024-01-18 Johnathan Alsop , Shaizeen Aga , Mohamed Ibrahim , Mahzabeen Islam , Andrew Mccrabb , Nuwan Jayasena

An iterative learning algorithm is presented for continuous-time linear-quadratic optimal control problems where the system is externally symmetric with unknown dynamics. Both finite-horizon and infinite-horizon problems are considered. It…

最优化与控制 · 数学 2025-10-10 Hamed Taghavian , Florian Dorfler , Mikael Johansson

Increased penetration of inverter-connected renewable energy sources (RES) in the power system has resulted in a decrease in available rotational inertia which serves as an immediate response to frequency deviation due to disturbances. The…

系统与控制 · 计算机科学 2018-06-25 Atinuke Ademola-Idowu , Baosen Zhang

This paper investigates a novel gradient algorithm, AGEM, using both energy and momentum, for addressing general non-convex optimization problems. The solution properties of the AGEM algorithm, including aspects such as uniformly…

最优化与控制 · 数学 2024-03-14 Hailiang Liu , Xuping Tian

SRAM-based Analog Compute-in-Memory (ACiM) demonstrates promising energy efficiency for deep neural network (DNN) processing. Nevertheless, efforts to optimize efficiency frequently compromise accuracy, and this trade-off remains…

硬件体系结构 · 计算机科学 2025-09-03 Wenlun Zhang , Shimpei Ando , Yung-Chin Chen , Kentaro Yoshioka

Compute-in-memory (CiM) is a promising approach to improving the computing speed and energy efficiency in dataintensive applications. Beyond existing CiM techniques of bitwise logic-in-memory operations and dot product operations, this…

硬件体系结构 · 计算机科学 2023-01-03 Yiming Chen , Yushen Fu , Mingyen Lee , Sumitha George , Yongpan Liu , Vijaykrishnan Narayanan , Huazhong Yang , Xueqing Li

Computing-in-Memory (CIM) accelerators are a promising solution for accelerating Machine Learning (ML) workloads, as they perform Matrix-Vector Multiplications (MVMs) on crossbar arrays directly in memory. Although the bit widths of the…

机器学习 · 计算机科学 2026-03-20 Rebecca Pelke , Joel Klein , Jose Cubero-Cascante , Nils Bosbach , Jan Moritz Joseph , Rainer Leupers

Quantum annealing is a heuristic optimization algorithm that exploits quantum evolution to approximately find lowest energy states. Quantum annealers have scaled up in recent years to tackle increasingly larger and more highly connected…

量子物理 · 物理学 2025-07-04 Humberto Munoz Bauza , Daniel A. Lidar

Modern edge AI workloads demand maximum energy efficiency, motivating the pursuit of analog Compute-in-Memory (CIM) architectures. Simultaneously, the popularity of Large-Language-Models (LLMs) drives the adoption of low-bit floating-point…

硬件体系结构 · 计算机科学 2026-02-10 Brian Rojkov , Shubham Ranjan , Derek Wright , Manoj Sachdev

The stochastic gradient descent (SGD) algorithm has achieved remarkable success in training deep learning models. However, it has several limitations, including susceptibility to vanishing gradients, sensitivity to input data, and a lack of…

机器学习 · 计算机科学 2025-03-14 Chengcheng Yan , Jiawei Xu , Qingsong Wang , Zheng Peng

We introduce Adam, an algorithm for first-order gradient-based optimization of stochastic objective functions, based on adaptive estimates of lower-order moments. The method is straightforward to implement, is computationally efficient, has…

机器学习 · 计算机科学 2017-01-31 Diederik P. Kingma , Jimmy Ba

It is known that adaptive optimization algorithms represent the key pillar behind the rise of the Machine Learning field. In the Optimization literature numerous studies have been devoted to accelerated gradient methods but only recently…

最优化与控制 · 数学 2024-02-02 Cristian Daniel Alecsa