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We propose a modified expectation-maximization algorithm by introducing the concept of quantum annealing, which we call the deterministic quantum annealing expectation-maximization (DQAEM) algorithm. The expectation-maximization (EM)…

Machine Learning · Statistics 2017-01-13 Hideyuki Miyahara , Koji Tsumura , Yuki Sughiyama

This paper designs a distributed stochastic annealing algorithm for non-convex cooperative aggregative games, whose agents' cost functions not only depend on agents' own decision variables but also rely on the sum of agents' decision…

Optimization and Control · Mathematics 2022-04-05 Yinghui Wang , Xiaoxue Geng , Guanpu Chen , Wenxiao Zhao

Quantum annealing aims to exploit quantum mechanics to speed up the search for the solution to optimization problems. Most problems exhibit complete connectivity between the logical spin variables after they are mapped to the Ising spin…

Quantum Physics · Physics 2016-08-24 Tameem Albash , Walter Vinci , Daniel A. Lidar

Population annealing Monte Carlo is an efficient sequential algorithm for simulating k-local Boolean Hamiltonians. Because of its structure, the algorithm is inherently parallel and therefore well suited for large-scale simulations of…

Disordered Systems and Neural Networks · Physics 2018-11-26 Amin Barzegar , Christopher Pattison , Wenlong Wang , Helmut G. Katzgraber

Asynchronous algorithms have attracted much attention recently due to the crucial demands on solving large-scale optimization problems. However, the accelerated versions of asynchronous algorithms are rarely studied. In this paper, we…

Optimization and Control · Mathematics 2018-02-28 Cong Fang , Yameng Huang , Zhouchen Lin

Finding a ground state of a given Hamiltonian of an Ising model on a graph $G=(V,E)$ is an important but hard problem. The standard approach for this kind of problem is the application of algorithms that rely on single-spin-flip Markov…

Increasingly demanding performance requirements for dynamical systems motivates the adoption of nonlinear and adaptive control techniques. One challenge is the nonlinearity of the resulting closed-loop system complicates verification that…

Systems and Control · Computer Science 2017-10-03 John F. Quindlen , Ufuk Topcu , Girish Chowdhary , Jonathan P. How

In this paper, we introduce a quantum-enhanced algorithm for simulation-based optimization. Simulation-based optimization seeks to optimize an objective function that is computationally expensive to evaluate exactly, and thus, is…

Quantum Physics · Physics 2021-03-08 Julien Gacon , Christa Zoufal , Stefan Woerner

We present complexity and numerical results for a new asynchronous parallel algorithmic method for the minimization of the sum of a smooth nonconvex function and a convex nonsmooth regularizer, subject to both convex and nonconvex…

Optimization and Control · Mathematics 2017-01-23 Loris Cannelli , Francisco Facchinei , Vyacheslav Kungurtsev , Gesualdo Scutari

We design and analyze a novel accelerated gradient-based algorithm for a class of bilevel optimization problems. These problems have various applications arising from machine learning and image processing, where optimal solutions of the two…

Optimization and Control · Mathematics 2023-11-20 Sepideh Samadi , Daniel Burbano , Farzad Yousefian

We propose a new metaheuristic training scheme that combines Stochastic Gradient Descent (SGD) and Discrete Optimization in an unconventional way. Our idea is to define a discrete neighborhood of the current SGD point containing a number of…

Machine Learning · Computer Science 2019-06-05 Matteo Fischetti , Matteo Stringher

We characterize the equilibrium properties of a model of $y$ coupled binary perceptrons in the teacher-student scenario, subject to a suitable cost function, with an explicit ferromagnetic coupling proportional to the Hamming distance…

Disordered Systems and Neural Networks · Physics 2024-07-02 Giovanni Catania , Aurélien Decelle , Beatriz Seoane

Amortized variational inference is an often employed framework in simulation-based inference that produces a posterior approximation that can be rapidly computed given any new observation. Unfortunately, there are few guarantees about the…

Methodology · Statistics 2024-07-26 Yash Patel , Declan McNamara , Jackson Loper , Jeffrey Regier , Ambuj Tewari

This paper addresses smooth convexly constrained optimization problems where the Euclidean projection onto the feasible set is computationally tractable. Although momentum techniques like Polyak's heavy-ball are known for accelerating…

Optimization and Control · Mathematics 2026-03-20 Federica Donnini , Pierluigi Mansueto

A canonical approach to approximating the partition function of a Gibbs distribution via sampling is simulated annealing. This method has led to efficient reductions from counting to sampling, including: $\bullet$ classic non-adaptive…

Data Structures and Algorithms · Computer Science 2026-04-07 Hongyang Liu , Yitong Yin , Yiyao Zhang

We explore the applicability of quantum annealing to the approximation task of curve fitting. To this end, we consider a function that shall approximate a given set of data points and is written as a finite linear combination of…

Optimization and Control · Mathematics 2026-02-27 Philipp Isserstedt , Daniel Jaroszewski , Wolfgang Mergenthaler , Felix Paul , Bastian Harrach

Quantum annealing (QA) has been proposed as a quantum enhanced optimization heuristic exploiting tunneling. Here, we demonstrate how finite range tunneling can provide considerable computational advantage. For a crafted problem designed to…

Linear optimization is many times algorithmically simpler than non-linear convex optimization. Linear optimization over matroid polytopes, matching polytopes and path polytopes are example of problems for which we have simple and efficient…

Machine Learning · Computer Science 2015-08-17 Dan Garber , Elad Hazan

To overcome the limitations of current parafoil precision landing capabilities, an efficient real-time convex optimized guidance and control strategy is presented. Successive convexification of the parafoil guidance problem guarantees local…

Systems and Control · Electrical Eng. & Systems 2022-12-06 Antoine Leeman , Valentin Preda , Irene Huertas , Samir Bennani

In this article, we use the monotonic optimization approach to propose an outcome-space outer approximation by copolyblocks for solving strictly quasiconvex multiobjective programming problems and especially in the case that the objective…

Optimization and Control · Mathematics 2020-03-26 Tran Ngoc Thang , Vijender Kumar Solanki , Tuan Anh Dao , Nguyen Thi Ngoc Anh , Hai V. Pham
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