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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…

Data Structures and Algorithms · Computer Science 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…

Data Structures and Algorithms · Computer Science 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…

Computer Science and Game Theory · Computer Science 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…

Computation and Language · Computer Science 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)…

Data Structures and Algorithms · Computer Science 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…

Dynamical Systems · Mathematics 2022-11-18 Mason Ma , Alisa Ren , Christopher Tyler , Jaydeep Karandikar , Michael Gomez , Tony Shi , Tony Schmitz

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…

Optimization and Control · Mathematics 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.…

Data Structures and Algorithms · Computer Science 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…

Data Structures and Algorithms · Computer Science 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…

Data Structures and Algorithms · Computer Science 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…

Machine Learning · Statistics 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…

Neural and Evolutionary Computing · Computer Science 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…

Optimization and Control · Mathematics 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.…

Data Structures and Algorithms · Computer Science 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…

Optimization and Control · Mathematics 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,…

Data Structures and Algorithms · Computer Science 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…

Neural and Evolutionary Computing · Computer Science 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…

Data Structures and Algorithms · Computer Science 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…

Computation and Language · Computer Science 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…

Machine Learning · Computer Science 2021-11-25 Ravi S Raju , Kyle Daruwalla , Mikko Lipasti
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