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Bilinear matrix inequality (BMI) problems in system and control designs are investigated in this paper. A solution method of reduction of variables (MRVs) is proposed. This method consists of a principle of variable classification, a…

Systems and Control · Electrical Eng. & Systems 2026-01-16 Wei-Yu Chiu

In recent years, researchers pay growing attention to the few-shot learning (FSL) task to address the data-scarce problem. A standard FSL framework is composed of two components: i) Pre-train. Employ the base data to generate a CNN-based…

Computer Vision and Pattern Recognition · Computer Science 2021-12-06 Shuai Shao , Lei Xing , Rui Xu , Weifeng Liu , Yan-Jiang Wang , Bao-Di Liu

This paper proposes a new framework for providing approximation guarantees of local search algorithms. Local search is a basic algorithm design technique and is widely used for various combinatorial optimization problems. To analyze local…

Data Structures and Algorithms · Computer Science 2020-06-03 Kaito Fujii

Many optimization problems in science and engineering are highly nonlinear, and thus require sophisticated optimization techniques to solve. Traditional techniques such as gradient-based algorithms are mostly local search methods, and often…

Neural and Evolutionary Computing · Computer Science 2019-03-28 Xin-She Yang , Suash Deb , Sudhanshu K Mishra

Local Fourier analysis is a commonly used tool for the analysis of multigrid and other multilevel algorithms, providing both insight into observed convergence rates and predictive analysis of the performance of many algorithms. In this…

Numerical Analysis · Mathematics 2021-08-06 Jed Brown , Yunhui He , Scott MacLachlan

Classical policy gradient (PG) methods in reinforcement learning frequently converge to suboptimal local optima, a challenge exacerbated in large or complex environments. This work investigates Policy Gradient with Tree Search (PGTS), an…

Machine Learning · Computer Science 2025-06-10 Uri Koren , Navdeep Kumar , Uri Gadot , Giorgia Ramponi , Kfir Yehuda Levy , Shie Mannor

Classification with Costly Features (CwCF) is a classification problem that includes the cost of features in the optimization criteria. Individually for each sample, its features are sequentially acquired to maximize accuracy while…

Machine Learning · Computer Science 2024-07-17 Jaromír Janisch , Tomáš Pevný , Viliam Lisý

Detecting occurrences of keywords with keyword spotting (KWS) systems requires thresholding continuous detection scores. Selecting appropriate thresholds is a non-trivial task, typically relying on optimizing performance on a validation…

Audio and Speech Processing · Electrical Eng. & Systems 2026-01-23 Kevin Wilkinghoff , Alessia Cornaggia-Urrigshardt , Zheng-Hua Tan

The Maximum Weight Independent Set (MWIS) problem, as well as its related problems such as Minimum Weight Vertex Cover, are fundamental NP-hard problems with numerous practical applications. Due to their computational complexity, a variety…

Data Structures and Algorithms · Computer Science 2026-03-20 Ernestine Großmann , Kenneth Langedal , Christian Schulz

We investigate graph problems in the following setting: we are given a graph $G$ and we are required to solve a problem on $G^2$. While we focus mostly on exploring this theme in the distributed CONGEST model, we show new results and…

Data Structures and Algorithms · Computer Science 2020-06-09 Reuven Bar-Yehuda , Keren Censor-Hillel , Yannic Maus , Shreyas Pai , Sriram V. Pemmaraju

We introduce a new convex optimization problem, termed quadratic decomposable submodular function minimization (QDSFM), which allows to model a number of learning tasks on graphs and hypergraphs. The problem exhibits close ties to…

Machine Learning · Computer Science 2020-10-27 Pan Li , Niao He , Olgica Milenkovic

This work presents the convergence rate analysis of stochastic variants of the broad class of direct-search methods of directional type. It introduces an algorithm designed to optimize differentiable objective functions $f$ whose values can…

Optimization and Control · Mathematics 2020-03-09 Kwassi Joseph Dzahini

Relaxation and rounding approaches became a standard and extremely versatile tool for constrained submodular function maximization. One of the most common rounding techniques in this context are contention resolution schemes. Such schemes…

Data Structures and Algorithms · Computer Science 2019-05-22 Simon Bruggmann , Rico Zenklusen

It is generally accepted that one of the critical parts of current vision algorithms based on deep learning and convolutional neural networks is the annotation of a sufficient number of images to achieve competitive performance. This is…

Computer Vision and Pattern Recognition · Computer Science 2021-03-05 Kai Yao , Alberto Ortiz , Francisco Bonnin-Pascual

In block-matching motion estimation (BMME), the search patterns have a significant impact on the algorithm's performance, both the search speed and the search quality. The search pattern should be designed to fit the motion vector…

Computer Vision and Pattern Recognition · Computer Science 2008-06-05 Hongjun Jia , Li Zhang

The Conditional Markov Chain Search (CMCS) is a framework for automated design of metaheuristics for discrete combinatorial optimisation problems. Given a set of algorithmic components such as hill climbers and mutations, CMCS decides in…

Artificial Intelligence · Computer Science 2024-02-02 Sahil Patel , Daniel Karapetyan

Modern retrieval problems are characterised by training sets with potentially billions of labels, and heterogeneous data distributions across subpopulations (e.g., users of a retrieval system may be from different countries), each of which…

Machine Learning · Computer Science 2020-04-24 Ankit Singh Rawat , Aditya Krishna Menon , Andreas Veit , Felix Yu , Sashank J. Reddi , Sanjiv Kumar

Let C be a finite set of N elements and R = r_1,r_2,..., r_m a family of M subsets of C. A subset X of R verifies the Consecutive Ones Property (C1P) if there exists a permutation P of C such that each r_i in X is an interval of P. A…

Data Structures and Algorithms · Computer Science 2012-01-27 Aida Ouangraoua , Mathieu Raffinot

Rapid advances in data collection and processing capabilities have allowed for the use of increasingly complex models that give rise to nonconvex optimization problems. These formulations, however, can be arbitrarily difficult to solve in…

Multiagent Systems · Computer Science 2020-04-01 Stefan Vlaski , Ali H. Sayed

Solution-Guided Multi-Point Constructive Search (SGMPCS) is a novel constructive search technique that performs a series of resource-limited tree searches where each search begins either from an empty solution (as in randomized restart) or…

Artificial Intelligence · Computer Science 2011-10-13 J. C. Beck