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A novel unconstrained optimization model named weighted trace-penalty minimization (WTPM) is proposed to address the extreme eigenvalue problem arising from the Full Configuration Interaction (FCI) method. Theoretical analysis shows that…

数值分析 · 数学 2023-10-10 Weiguo Gao , Yingzhou Li , Hanxiang Shen

The square root velocity framework is a method in shape analysis to define a distance between curves and functional data. Identifying two curves if they differ by a reparametrisation leads to the quotient space of unparametrised curves. In…

经典分析与常微分方程 · 数学 2016-10-03 Martins Bruveris

In this paper, we define the reoptimization variant of the closest substring problem (CSP) under sequence addition. We show that, even with the additional information we have about the problem instance, the problem of finding a closest…

数据结构与算法 · 计算机科学 2016-03-09 Jeffrey Aborot , Henry Adorna , Jhoirene Clemente

This letter introduces weighted sum power (WSP), a new performance metric for wireless resource allocation during cooperative spectrum sharing in cognitive radio networks, where the primary and secondary nodes have different priorities and…

网络与互联网体系结构 · 计算机科学 2024-10-03 Yang Yu

A valued constraint satisfaction problem (VCSP) instance $(V,\Pi,w)$ is a set of variables $V$ with a set of constraints $\Pi$ weighted by $w$. Given a VCSP instance, we are interested in a re-weighted sub-instance $(V,\Pi'\subset \Pi,w')$…

数据结构与算法 · 计算机科学 2015-09-08 Arnold Filtser , Robert Krauthgamer

Recent developments in Parameter-Efficient Fine-Tuning (PEFT) methods for pretrained deep neural networks have captured widespread interest. In this work, we study the enhancement of current PEFT methods by incorporating the spectral…

机器学习 · 计算机科学 2024-11-05 Fangzhao Zhang , Mert Pilanci

Conformal prediction is a powerful framework for constructing prediction sets with valid coverage guarantees in multi-class classification. However, existing methods often rely on a single score function, which can limit their efficiency…

机器学习 · 统计学 2025-03-05 Rui Luo , Zhixin Zhou

Two popular approaches for distributed training of SVMs on big data are parameter averaging and ADMM. Parameter averaging is efficient but suffers from loss of accuracy with increase in number of partitions, while ADMM in the feature space…

机器学习 · 计算机科学 2015-10-01 Ayan Das , Sourangshu Bhattacharya

Random instances of Constraint Satisfaction Problems (CSP's) appear to be hard for all known algorithms, when the number of constraints per variable lies in a certain interval. Contributing to the general understanding of the structure of…

离散数学 · 计算机科学 2009-04-20 Andrea Montanari , Ricardo Restrepo , Prasad Tetali

Self-supervised representation learning (SSL) methods provide an effective label-free initial condition for fine-tuning downstream tasks. However, in numerous realistic scenarios, the downstream task might be biased with respect to the…

机器学习 · 计算机科学 2022-11-01 Andrius Ovsianas , Jason Ramapuram , Dan Busbridge , Eeshan Gunesh Dhekane , Russ Webb

The optimal policy of a reinforcement learning problem is often discontinuous and non-smooth. I.e., for two states with similar representations, their optimal policies can be significantly different. In this case, representing the entire…

机器学习 · 计算机科学 2020-02-10 Zhimin Hou , Kuangen Zhang , Yi Wan , Dongyu Li , Chenglong Fu , Haoyong Yu

This work presents a new computational optimization framework for the robust control of parks of Wave Energy Converters (WEC) in irregular waves. The power of WEC parks is maximized with respect to the individual control damping and…

最优化与控制 · 数学 2023-08-31 Marco Gambarini , Gabriele Ciaramella , Edie Miglio , Tommaso Vanzan

Treewidth and hypertree width have proven to be highly successful structural parameters in the context of the Constraint Satisfaction Problem (CSP). When either of these parameters is bounded by a constant, then CSP becomes solvable in…

数据结构与算法 · 计算机科学 2022-10-14 Andre Schidler , Robert Ganian , Manuel Sorge , Stefan Szeider

Conformal prediction (CP) provides a framework for constructing prediction sets with guaranteed coverage, assuming exchangeable data. However, real-world scenarios often involve distribution shifts that violate exchangeability, leading to…

机器学习 · 计算机科学 2025-05-27 Shadi Alijani , Homayoun Najjaran

This paper addresses weight optimization problem in distributed consensus averaging algorithm over networks with symmetric star topology. We have determined optimal weights and convergence rate of the network in terms of its topological…

信息论 · 计算机科学 2011-07-29 Saber Jafarizadeh , Abbas Jamalipour

Tree projections provide a unifying framework to deal with most structural decomposition methods of constraint satisfaction problems (CSPs). Within this framework, a CSP instance is decomposed into a number of sub-problems, called views,…

人工智能 · 计算机科学 2017-11-15 Georg Gottlob , Gianlugi Greco , Francesco Scarcello

This tutorial-style overview article examines the fundamental principles and methods of robustness, using wireless sensing and communication (WSC) as the narrative and exemplifying framework. First, we formalize the conceptual and…

信号处理 · 电气工程与系统科学 2026-02-11 Shixiong Wang , Wei Dai , Li-Chun Wang , Geoffrey Ye Li

Spectral algorithms leverage spectral regularization techniques to analyze and process data, providing a flexible framework for addressing supervised learning problems. To deepen our understanding of their performance in real-world…

机器学习 · 统计学 2025-07-23 Jun Fan , Zheng-Chu Guo , Lei Shi

Pruning seeks to design lightweight architectures by removing redundant weights in overparameterized networks. Most of the existing techniques first remove structured sub-networks (filters, channels,...) and then fine-tune the resulting…

计算机视觉与模式识别 · 计算机科学 2021-07-28 Robin Dupont , Hichem Sahbi , Guillaume Michel

We extend the notion of a strong backdoor from the CSP setting to the Valued CSP setting (VCSP, for short). This provides a means for augmenting a class of tractable VCSP instances to instances that are outside the class but of small…

数据结构与算法 · 计算机科学 2016-12-20 Robert Ganian , M. S. Ramanujan , Stefan Szeider