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The study of combinatorial optimization problems with a submodular objective has attracted much attention in recent years. Such problems are important in both theory and practice because their objective functions are very general. Obtaining…

Data Structures and Algorithms · Computer Science 2016-11-11 Niv Buchbinder , Moran Feldman

Despite the success, the process of fine-tuning large-scale PLMs brings prohibitive adaptation costs. In fact, fine-tuning all the parameters of a colossal model and retaining separate instances for different tasks are practically…

The problem of parameterization is often central to the effective deployment of nature-inspired algorithms. However, finding the optimal set of parameter values for a combination of problem instance and solution method is highly…

Neural and Evolutionary Computing · Computer Science 2014-06-26 Matthew Crossley , Andy Nisbet , Martyn Amos

We propose a first-order stochastic optimization algorithm incorporating adaptive regularization applicable to machine learning problems in deep learning framework. The adaptive regularization is imposed by stochastic process in determining…

Machine Learning · Computer Science 2020-04-15 Kensuke Nakamura , Stefano Soatto , Byung-Woo Hong

Linear inverse problems are very common in signal and image processing. Many algorithms that aim at solving such problems include unknown parameters that need tuning. In this work we focus on optimally selecting such parameters in iterative…

Computer Vision and Pattern Recognition · Computer Science 2010-03-23 Raja Giryes , Michael Elad , Yonina C Eldar

In this paper, a polynomial chaos based framework for designing controllers for discrete time linear systems with probabilistic parameters is presented. Conditions for exponential-mean-square stability for such systems are derived and…

Optimization and Control · Mathematics 2020-04-06 Vaishnav Tadiparthi , Raktim Bhattacharya

An important class of dynamical systems with several practical applications is linear systems with quadratic outputs. These models have the same state equation as standard linear time-invariant systems but differ in their output equations,…

Systems and Control · Electrical Eng. & Systems 2024-08-13 Umair Zulfiqar , Zhi-Hua Xiao , Qiu-Yan Song , Mohammad Monir Uddin , Victor Sreeram

This paper studies adaptive algorithms for simultaneous regulation (i.e., control) and estimation (i.e., learning) of Multiple Input Multiple Output (MIMO) linear dynamical systems. It proposes practical, easy to implement control policies…

Systems and Control · Electrical Eng. & Systems 2020-03-05 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

Motivated by a real problem in steel production, we introduce and analyze a general class of singularly perturbed linear hybrid systems with both switches and impulses, in which the slow or fast nature of the variables can be…

Systems and Control · Computer Science 2017-06-16 Jihene Ben Rejeb , Irinel-Constantin Morărescu , Antoine Girard , Jamal Daafouz

Deployment of optimization algorithms over communication networks face challenges associated with time delays and corruptions. Fixed time delays can destabilize popular gradient-based algorithms, and this degradation is exacerbated by…

Optimization and Control · Mathematics 2026-03-12 Jared Miller , Fabian Jakob , Carsten Scherer , Andrea Iannelli

This paper proposes a framework to study the convergence of stochastic optimization and learning algorithms. The framework is modeled over the different challenges that these algorithms pose, such as (i) the presence of random additive…

Optimization and Control · Mathematics 2024-07-01 Nicola Bastianello , Liam Madden , Ruggero Carli , Emiliano Dall'Anese

We propose a new monotonically convergent algorithm which can enforce spectral constraints on the control field (and extends to arbitrary filters). The procedure differs from standard algorithms in that at each iteration the control field…

Quantum Physics · Physics 2015-05-13 M. Lapert , R. Tehini , G. Turinici , D. Sugny

We study a budgeted hyper-parameter tuning problem, where we optimize the tuning result under a hard resource constraint. We propose to solve it as a sequential decision making problem, such that we can use the partial training progress of…

Machine Learning · Computer Science 2019-02-05 Zhiyun Lu , Chao-Kai Chiang , Fei Sha

Software configuration tuning is essential for optimizing a given performance objective (e.g., minimizing latency). Yet, due to the software's intrinsically complex configuration landscape and expensive measurement, there has been a rather…

Software Engineering · Computer Science 2024-03-18 Pengzhou Chen , Tao Chen , Miqing Li

Computational models of human language often involve combinatorial problems. For instance, a probabilistic parser may marginalize over exponentially many trees to make predictions. Algorithms for such problems often employ dynamic…

Computation and Language · Computer Science 2021-09-16 Tim Vieira , Ryan Cotterell , Jason Eisner

Utilitarian algorithm configuration is a general-purpose technique for automatically searching the parameter space of a given algorithm to optimize its performance, as measured by a given utility function, on a given set of inputs. Recently…

Artificial Intelligence · Computer Science 2025-02-18 Devon Graham , Kevin Leyton-Brown

Tuning machine learning models at scale, especially finding the right hyperparameter values, can be difficult and time-consuming. In addition to the computational effort required, this process also requires some ancillary efforts including…

Machine Learning · Computer Science 2019-11-07 Jiayi Liu , Samarth Tripathi , Unmesh Kurup , Mohak Shah

Hierarchical optimization refers to problems with interdependent decision variables and objectives, such as minimax and bilevel formulations. While various algorithms have been proposed, existing methods and analyses lack adaptivity in…

Machine Learning · Computer Science 2025-10-27 Xiaochuan Gong , Jie Hao , Mingrui Liu

We consider an unconstrained continuous optimization problem where, in each iteration, gradient estimates may be arbitrarily corrupted with a probability greater than 1/2. Additionally, function value estimates may exhibit heavy-tailed…

Optimization and Control · Mathematics 2025-11-25 Katya Scheinberg , Miaolan Xie

Kernelization algorithms in the context of Parameterized Complexity are often based on a combination of reduction rules and combinatorial insights. We will expose in this paper a similar strategy for obtaining polynomial-time approximation…

Data Structures and Algorithms · Computer Science 2014-09-15 Faisal N. Abu-Khzam , Cristina Bazgan , Morgan Chopin , Henning Fernau
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