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We develop a new algorithmic framework for designing approximation algorithms for cut-based optimization problems on capacitated undirected graphs that undergo edge insertions and deletions. Specifically, our framework dynamically maintains…

数据结构与算法 · 计算机科学 2026-01-15 Gramoz Goranci , Monika Henzinger , Peter Kiss , Ali Momeni , Gernot Zöcklein

A maximal independent set (MIS) can be maintained in an evolving $m$-edge graph by simply recomputing it from scratch in $O(m)$ time after each update. But can it be maintained in time sublinear in $m$ in fully dynamic graphs? We answer…

数据结构与算法 · 计算机科学 2018-02-28 Sepehr Assadi , Krzysztof Onak , Baruch Schieber , Shay Solomon

We provide a computationally efficient black-box reduction from mechanism design to algorithm design in very general settings. Specifically, we give an approximation-preserving reduction from truthfully maximizing \emph{any} objective under…

计算机科学与博弈论 · 计算机科学 2013-05-20 Yang Cai , Constantinos Daskalakis , S. Matthew Weinberg

Fine-tuning large language models (LLMs) is essential for enhancing their performance on specific tasks but is often resource-intensive due to redundant or uninformative data. To address this inefficiency, we introduce DELIFT (Data…

计算与语言 · 计算机科学 2025-03-21 Ishika Agarwal , Krishnateja Killamsetty , Lucian Popa , Marina Danilevksy

We study dynamic algorithms for the longest increasing subsequence (\textsf{LIS}) problem. A dynamic \textsf{LIS} algorithm maintains a sequence subject to operations of the following form arriving one by one: (i) insert an element, (ii)…

数据结构与算法 · 计算机科学 2021-03-11 Tomasz Kociumaka , Saeed Seddighin

Machining dynamics research lays a solid foundation for machining operations by providing stable combinations of spindle speed and depth of cut. Furthermore, machine learning has been applied to predict tool life as a function of cutting…

Zeroth-order optimization (ZO) has been a powerful framework for solving black-box problems, which estimates gradients using zeroth-order data to update variables iteratively. The practical applicability of ZO critically depends on the…

最优化与控制 · 数学 2026-03-03 Ruiyang Jin , Yuke Zhou , Yujie Tang , Jie Song , Siyang Gao

We establish the first update-time separation between dynamic algorithms against oblivious adversaries and those against adaptive adversaries in natural dynamic graph problems, based on popular fine-grained complexity hypotheses.…

数据结构与算法 · 计算机科学 2025-10-24 Aaron Bernstein , Sayan Bhattacharya , Nick Fischer , Peter Kiss , Thatchaphol Saranurak

In this paper, we present long-awaited algorithmic advances toward the efficient construction of near-optimal replenishment policies for a true inventory management classic, the economic warehouse lot scheduling problem. While this paradigm…

数据结构与算法 · 计算机科学 2026-01-23 Danny Segev

Conditional lower bounds for dynamic graph problems has received a great deal of attention in recent years. While many results are now known for the fully-dynamic case and such bounds often imply worst-case bounds for the partially dynamic…

数据结构与算法 · 计算机科学 2016-05-04 Søren Dahlgaard

We study the data deletion problem for convex models. By leveraging techniques from convex optimization and reservoir sampling, we give the first data deletion algorithms that are able to handle an arbitrarily long sequence of adversarial…

机器学习 · 统计学 2020-07-07 Seth Neel , Aaron Roth , Saeed Sharifi-Malvajerdi

In multiobjective optimization, the result of an optimization algorithm is a set of efficient solutions from which the decision maker selects one. It is common that not all the efficient solutions can be computed in a short time and the…

神经与进化计算 · 计算机科学 2024-03-20 Miguel Ángel Domínguez-Ríos , Francisco Chicano , Enrique Alba

In many practical decision-making problems it happens that functions involved in optimization process are black-box with unknown analytical representations and hard to evaluate. In this paper, a global optimization problem is considered…

最优化与控制 · 数学 2015-09-16 Yaroslav D. Sergeyev , Dmitri E. Kvasov

We consider the directed minimum weight cycle problem in the fully dynamic setting. To the best of our knowledge, so far no fully dynamic algorithms have been designed specifically for the minimum weight cycle problem in general digraphs.…

数据结构与算法 · 计算机科学 2021-06-23 Adam Karczmarz

This paper studies the problem of expected loss minimization given a data distribution that is dependent on the decision-maker's action and evolves dynamically in time according to a geometric decay process. Novel algorithms for both the…

最优化与控制 · 数学 2022-04-19 Mitas Ray , Dmitriy Drusvyatskiy , Maryam Fazel , Lillian J. Ratliff

The dynamic matrix inverse problem is to maintain the inverse of a matrix undergoing element and column updates. It is the main subroutine behind the best algorithms for many dynamic problems whose complexity is not yet well-understood,…

数据结构与算法 · 计算机科学 2019-05-14 Jan van den Brand , Danupon Nanongkai , Thatchaphol Saranurak

Recently, it has been proven that evolutionary algorithms produce good results for a wide range of combinatorial optimization problems. Some of the considered problems are tackled by evolutionary algorithms that use a representation which…

神经与进化计算 · 计算机科学 2013-01-18 Benjamin Doerr , Anton Eremeev , Frank Neumann , Madeleine Theile , Christian Thyssen

Enumeration algorithms have been one of recent hot topics in theoretical computer science. Different from other problems, enumeration has many interesting aspects, such as the computation time can be shorter than the total output size, by…

数据结构与算法 · 计算机科学 2014-07-16 Takeaki Uno

We introduce novel dynamic oracles for training two of the most accurate known shift-reduce algorithms for constituent parsing: the top-down and in-order transition-based parsers. In both cases, the dynamic oracles manage to notably…

计算与语言 · 计算机科学 2018-10-26 Daniel Fernández-González , Carlos Gómez-Rodríguez

Deep learning's success has been attributed to the training of large, overparameterized models on massive amounts of data. As this trend continues, model training has become prohibitively costly, requiring access to powerful computing…

机器学习 · 计算机科学 2021-11-25 Ravi S Raju , Kyle Daruwalla , Mikko Lipasti