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Greedy optimization methods such as Matching Pursuit (MP) and Frank-Wolfe (FW) algorithms regained popularity in recent years due to their simplicity, effectiveness and theoretical guarantees. MP and FW address optimization over the linear…

机器学习 · 计算机科学 2017-11-21 Francesco Locatello , Michael Tschannen , Gunnar Rätsch , Martin Jaggi

The convergence and numerical analysis of a low memory implementation of the Orthogonal Matching Pursuit greedy strategy, which is termed Self Projected Matching Pursuit, is presented. This approach renders an iterative way of solving the…

计算机视觉与模式识别 · 计算机科学 2020-06-09 Laura Rebollo-Neira , Miroslav Rozloznik , Pradip Sasmal

Retrieval-augmented language models can better adapt to changes in world state and incorporate long-tail knowledge. However, most existing methods retrieve only short contiguous chunks from a retrieval corpus, limiting holistic…

计算与语言 · 计算机科学 2024-02-01 Parth Sarthi , Salman Abdullah , Aditi Tuli , Shubh Khanna , Anna Goldie , Christopher D. Manning

This paper addresses the challenge of dynamic multi-objective optimization problems (DMOPs) by introducing novel approaches for accelerating prediction strategies within the evolutionary algorithm framework. Since the objectives of DMOPs…

神经与进化计算 · 计算机科学 2024-11-14 Ru Lei , Lin Li , Rustam Stolkin , Bin Feng

Sparsity-constrained optimization is an important and challenging problem that has wide applicability in data mining, machine learning, and statistics. In this paper, we focus on sparsity-constrained optimization in cases where the cost…

机器学习 · 计算机科学 2016-12-19 Feng Chen , Baojian Zhou

We show that the pseudoflow algorithm for maximum flow is particularly efficient for the bipartite matching problem both in theory and in practice. We develop several implementations of the pseudoflow algorithm for bipartite matching, and…

数据结构与算法 · 计算机科学 2011-05-10 Bala G. Chandran , Dorit S. Hochbaum

We study the fundamental problem of selecting optimal features for model construction. This problem is computationally challenging on large datasets, even with the use of greedy algorithm variants. To address this challenge, we extend the…

We propose a batchwise monotone algorithm for dictionary learning. Unlike the state-of-the-art dictionary learning algorithms which impose sparsity constraints on a sample-by-sample basis, we instead treat the samples as a batch, and impose…

机器学习 · 计算机科学 2015-02-03 Huan Wang , John Wright , Daniel Spielman

Compressive sensing (CS) can effectively recover a signal when it is sparse in some discrete atoms. However, in some applications, signals are sparse in a continuous parameter space, e.g., frequency space, rather than discrete atoms.…

信号处理 · 电气工程与系统科学 2018-08-30 Tianyao Huang , Yimin Liu , Huadong Meng , Xiqin Wang

In this paper, by exploiting the special features of temporal correlations of dynamic sparse channels that path delays change slowly over time but path gains evolve faster, we propose the structured matching pursuit (SMP) algorithm to…

信息论 · 计算机科学 2015-07-21 Xudong Zhu , Linglong Dai , Guan Gui , Wei Dai , Zhaocheng Wang , Fumiyuki Adachi

Sparse representations using data dictionaries provide an efficient model particularly for signals that do not enjoy alternate analytic sparsifying transformations. However, solving inverse problems with sparsifying dictionaries can be…

计算机视觉与模式识别 · 计算机科学 2021-01-01 Vishwanath Saragadam , Xin Li , Aswin Sankaranarayanan

Sparse approximation is important in many applications because of concise form of an approximant and good accuracy guarantees. The theory of compressed sensing, which proved to be very useful in the image processing and data sciences, is…

数值分析 · 数学 2025-02-20 V. Temlyakov

Multitarget tracking in the interference environments suffers from the nonuniform, unknown and time-varying clutter, resulting in dramatic performance deterioration. We address this challenge by proposing a robust multitarget tracking…

系统与控制 · 电气工程与系统科学 2022-12-15 Xianglong Bai , Hua Lan , Zengfu Wang , Quan Pan , Yuhang Hao , Can Li

String matching is the problem of finding all the substrings of a text which match a given pattern. It is one of the most investigated problems in computer science, mainly due to its very diverse applications in several fields. Recently,…

数据结构与算法 · 计算机科学 2017-07-04 Domenico Cantone , Simone Faro , Arianna Pavone

Recently, considerable research efforts have been devoted to the design of methods to learn from data overcomplete dictionaries for sparse coding. However, learned dictionaries require the solution of an optimization problem for coding new…

机器学习 · 计算机科学 2010-11-17 Curzio Basso , Matteo Santoro , Alessandro Verri , Silvia Villa

We propose a novel greedy algorithm for the support recovery of a sparse signal from a small number of noisy measurements. In the proposed method, a new support index is identified for each iteration based on bit-wise maximum a posteriori…

信息论 · 计算机科学 2019-10-29 J. Chae , S. -N. Hong

In the Maximum Duo-Preservation String Mapping problem we are given two strings and wish to map the letters of the former to the letters of the latter so as to maximise the number of duos. A duo is a pair of consecutive letters that is…

数据结构与算法 · 计算机科学 2017-05-31 Bartłomiej Dudek , Paweł Gawrychowski , Piotr Ostropolski-Nalewaja

In this paper, we put forth a new joint sparse recovery algorithm called signal space matching pursuit (SSMP). The key idea of the proposed SSMP algorithm is to sequentially investigate the support of jointly sparse vectors to minimize the…

信息论 · 计算机科学 2020-03-10 Junhan Kim , Jian Wang , Luong Trung Nguyen , Byonghyo Shim

In this article, we establish a class of new accelerated modulus-based iteration methods for solving the linear complementarity problem. When the system matrix is an $H_+$-matrix, we present appropriate criteria for the convergence…

最优化与控制 · 数学 2023-05-05 Bharat Kumar , Deepmala , A. K. Das

This paper explores potential improvements to the Spatial-Temporal Matching algorithm for aligning the GPS trajectories to road networks. While this algorithm is effective, it presents some limitations in computational efficiency and the…

机器学习 · 计算机科学 2026-03-12 Ali Yousefian , Arianna Burzacchi , Simone Vantini