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In solving multi-modal, multi-objective optimization problems (MMOPs), the objective is not only to find a good representation of the Pareto-optimal front (PF) in the objective space but also to find all equivalent Pareto-optimal subsets…

Neural and Evolutionary Computing · Computer Science 2022-10-24 Tapabrata Ray , Mohammad Mohiuddin Mamun , Hemant Kumar Singh

In this work, we consider methods for solving large-scale optimization problems with a possibly nonsmooth objective function. The key idea is to first specify a class of optimization algorithms using a generic iterative scheme involving…

Optimization and Control · Mathematics 2020-02-19 Sebastian Banert , Axel Ringh , Jonas Adler , Johan Karlsson , Ozan Öktem

This thesis explores the benefits machine learning algorithms can bring to online planning and scheduling for autonomous vehicles in off-road situations. Mainly, we focus on typical problems of interest which include computing itineraries…

Artificial Intelligence · Computer Science 2021-08-03 Kevin Osanlou

To overcome the tradeoff of the conventional normalized least mean square (NLMS) algorithm between fast convergence rate and low steady-state misalignment, this paper proposes a variable step size (VSS) NLMS algorithm by devising a new…

Systems and Control · Computer Science 2015-04-22 Yi Yu , Haiquan Zhao

Support Vector Machine (SVM) algorithm requires a high computational cost (both in memory and time) to solve a complex quadratic programming (QP) optimization problem during the training process. Consequently, SVM necessitates high…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-28 Islam Elgarhy

Distributed optimization and learning algorithms are designed to operate over large scale networks enabling processing of vast amounts of data effectively and efficiently. One of the main challenges for ensuring a smooth learning process in…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Apostolos I. Rikos , Nicola Bastianello , Themistoklis Charalambous , Karl H. Johansson

The vast majority of successful deep neural networks are trained using variants of stochastic gradient descent (SGD) algorithms. Recent attempts to improve SGD can be broadly categorized into two approaches: (1) adaptive learning rate…

Machine Learning · Computer Science 2019-12-04 Michael R. Zhang , James Lucas , Geoffrey Hinton , Jimmy Ba

Solving different types of optimization models (including parameters fitting) for support vector machines on large-scale training data is often an expensive computational task. This paper proposes a multilevel algorithmic framework that…

Machine Learning · Statistics 2014-10-14 Talayeh Razzaghi , Ilya Safro

This paper introduces Group Sequence Policy Optimization (GSPO), our stable, efficient, and performant reinforcement learning algorithm for training large language models. Unlike previous algorithms that adopt token-level importance ratios,…

Machine Learning · Computer Science 2025-07-29 Chujie Zheng , Shixuan Liu , Mingze Li , Xiong-Hui Chen , Bowen Yu , Chang Gao , Kai Dang , Yuqiong Liu , Rui Men , An Yang , Jingren Zhou , Junyang Lin

We propose a multi-level method to increase the accuracy of machine learning algorithms for approximating observables in scientific computing, particularly those that arise in systems modeled by differential equations. The algorithm relies…

Numerical Analysis · Mathematics 2020-07-06 Kjetil O. Lye , Siddhartha Mishra , Roberto Molinaro

Particle Swarm Optimization (PSO) is a stochastic technique for solving the optimization problem. Attempts have been made to shorten the computation times of PSO based algorithms with massive threads on GPUs (graphic processing units),…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-05 Chuan-Chi Wang , Chun-Yen Ho , Chia-Heng Tu , Shih-Hao Hung

Simultaneous clustering and optimization (SCO) has recently drawn much attention due to its wide range of practical applications. Many methods have been previously proposed to solve this problem and obtain the optimal model. However, when a…

Machine Learning · Computer Science 2019-08-06 Yawei Zhao , En Zhu , Xinwang Liu , Chang Tang , Deke Guo , Jianping Yin

A streaming algorithm to compute the spectral proper orthogonal decomposition (SPOD) of stationary random processes is presented. As new data becomes available, an incremental update of the truncated eigenbasis of the estimated…

Fluid Dynamics · Physics 2019-01-14 Oliver T. Schmidt , Aaron Towne

In this work, we study optimization methods that leverage the linear minimization oracle (LMO) over a norm-ball. We propose a new stochastic family of algorithms that uses the LMO to adapt to the geometry of the problem and, perhaps…

Machine Learning · Computer Science 2025-06-09 Thomas Pethick , Wanyun Xie , Kimon Antonakopoulos , Zhenyu Zhu , Antonio Silveti-Falls , Volkan Cevher

Continual learning aims to learn multiple tasks sequentially while preserving prior knowledge, but faces the challenge of catastrophic forgetting when adapting to new tasks. Recently, approaches leveraging pre-trained models have gained…

Computer Vision and Pattern Recognition · Computer Science 2025-11-12 Quan Cheng , Yuanyu Wan , Lingyu Wu , Chenping Hou , Lijun Zhang

In this paper, we consider constrained optimization problems with convex, smooth objective and constraints. We propose a new stochastic gradient algorithm, called the Stochastic Moving Ball Approximation (SMBA) method, to solve this class…

Optimization and Control · Mathematics 2024-12-03 Nitesh Kumar Singh , Ion Necoara

In neural combinatorial optimization (CO), reinforcement learning (RL) can turn a deep neural net into a fast, powerful heuristic solver of NP-hard problems. This approach has a great potential in practical applications because it allows…

Machine Learning · Computer Science 2021-07-14 Yeong-Dae Kwon , Jinho Choo , Byoungjip Kim , Iljoo Yoon , Youngjune Gwon , Seungjai Min

Automated machine learning aims to automate the whole process of machine learning, including model configuration. In this paper, we focus on automated hyperparameter optimization (HPO) based on sequential model-based optimization (SMBO).…

Machine Learning · Computer Science 2019-09-11 Ying Wei , Peilin Zhao , Huaxiu Yao , Junzhou Huang

Well-designed prompts are crucial for enhancing Large language models' (LLMs) reasoning capabilities while aligning their outputs with task requirements across diverse domains. However, manually designed prompts require expertise and…

Computation and Language · Computer Science 2025-08-22 Jinyu Xiang , Jiayi Zhang , Zhaoyang Yu , Xinbing Liang , Fengwei Teng , Jinhao Tu , Fashen Ren , Xiangru Tang , Sirui Hong , Chenglin Wu , Yuyu Luo

We present a framework to train a structured prediction model by performing smoothing on the inference algorithm it builds upon. Smoothing overcomes the non-smoothness inherent to the maximum margin structured prediction objective, and…

Machine Learning · Statistics 2019-02-11 Krishna Pillutla , Vincent Roulet , Sham M. Kakade , Zaid Harchaoui
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