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Black-box optimization is ubiquitous in machine learning, operations research and engineering simulation. Black-box optimization algorithms typically do not assume structural information about the objective function and thus must make use…

最优化与控制 · 数学 2024-07-19 Rohan Rele , Zelda Zabinsky , Giulia Pedrielli , Aleksandr Aravkin

We propose a new class of rigorous methods for derivative-free optimization with the aim of delivering efficient and robust numerical performance for functions of all types, from smooth to non-smooth, and under different noise regimes. To…

最优化与控制 · 数学 2022-10-31 Albert S. Berahas , Oumaima Sohab , Luis Nunes Vicente

Dynamic programming is an important optimization technique, but designing efficient dynamic programming algorithms can be difficult for even professional programmers. Thinning, a technique developed for systematically deriving efficient…

编程语言 · 计算机科学 2023-07-24 Ruyi Ji , Tianran Zhu , Yingfei Xiong , Zhenjiang Hu

We study algorithms for the sliding-window model, an important variant of the data-stream model, in which the goal is to compute some function of a fixed-length suffix of the stream. We extend the smooth-histogram framework of Braverman and…

数据结构与算法 · 计算机科学 2022-05-26 Robert Krauthgamer , David Reitblat

This paper presents an optimization-based receding horizon trajectory planning algorithm for dynamical systems operating in unstructured and cluttered environments. The proposed approach is a two-step procedure that uses a motion planning…

最优化与控制 · 数学 2019-12-12 Kristoffer Bergman , Oskar Ljungqvist , Torkel Glad , Daniel Axehill

This paper studies first-order algorithms for solving fully composite optimization problems over convex and compact sets. We leverage the structure of the objective by handling its differentiable and non-differentiable components…

最优化与控制 · 数学 2023-07-13 Maria-Luiza Vladarean , Nikita Doikov , Martin Jaggi , Nicolas Flammarion

An algorithm for a family of self-starting high-order implicit time integration schemes with controllable numerical dissipation is proposed for both linear and nonlinear transient problems. This work builds on the previous works of the…

数值分析 · 数学 2024-09-23 Daniel O'Shea , Xiaoran Zhang , Shayan Mohammadian , Chongmin Song

The defects of the traditional strapdown inertial navigation algorithms become well acknowledged and the corresponding enhanced algorithms have been quite recently proposed trying to mitigate both theoretical and algorithmic defects. In…

机器人学 · 计算机科学 2024-03-21 Hongyan Jiang , Maoran Zhu , Yuanxin Wu

Modern languages are equipped with static type checking/inference that helps programmers to keep a clean programming style and to reduce errors. However, the ever-growing size of programs and their continuous evolution require building fast…

编程语言 · 计算机科学 2018-11-28 Matteo Busi , Pierpaolo Degano , Letterio Galletta

Retrieval data structures are data structures that answer key-value queries without paying the space overhead of explicitly storing keys. The problem can be formulated in four settings (static, value-dynamic, incremental, or dynamic), each…

数据结构与算法 · 计算机科学 2024-10-25 William Kuszmaul , Aaron Putterman , Tingqiang Xu , Hangrui Zhou , Renfei Zhou

The current dominant paradigm when building a machine learning model is to iterate over a dataset over and over until convergence. Such an approach is non-incremental, as it assumes access to all images of all categories at once. However,…

机器学习 · 计算机科学 2023-02-14 Mert Kilickaya , Joost van de Weijer , Yuki M. Asano

Algorithms for dynamically maintaining minimum spanning trees (MSTs) have received much attention in both the parallel and sequential settings. While previous work has given optimal algorithms for dense graphs, all existing parallel…

数据结构与算法 · 计算机科学 2020-10-27 Daniel Anderson , Guy E. Blelloch , Kanat Tangwongsan

We study black-box reductions from mechanism design to algorithm design for welfare maximization in settings of incomplete information. Given oracle access to an algorithm for an underlying optimization problem, the goal is to simulate an…

计算机科学与博弈论 · 计算机科学 2019-06-27 Evangelia Gergatsouli , Brendan Lucier , Christos Tzamos

In this focused technical 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.…

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

Many learning algorithms are formulated in terms of finding model parameters which minimize a data-fitting loss function plus a regularizer. When the regularizer involves the l0 pseudo-norm, the resulting regularization path consists of a…

机器学习 · 计算机科学 2020-03-06 Toby Hocking , Joseph Vargovich

In the field of multi-objective optimization algorithms, multi-objective Bayesian Global Optimization (MOBGO) is an important branch, in addition to evolutionary multi-objective optimization algorithms (EMOAs). MOBGO utilizes Gaussian…

机器学习 · 计算机科学 2019-06-14 Kaifeng Yang , Michael Emmerich , André Deutz , Thomas Bäck

Submodular functions are set functions mapping every subset of some ground set of size $n$ into the real numbers and satisfying the diminishing returns property. Submodular minimization is an important field in discrete optimization theory…

数据结构与算法 · 计算机科学 2020-01-16 Yassine Hamoudi , Patrick Rebentrost , Ansis Rosmanis , Miklos Santha

Many dynamic graph algorithms have an amortized update time, rather than a stronger worst-case guarantee. But amortized data structures are not suitable for real-time systems, where each individual operation has to be executed quickly. For…

数据结构与算法 · 计算机科学 2021-03-12 Aaron Bernstein , Sebastian Forster , Monika Henzinger

Inference scaling methods for LLMs often rely on decomposing problems into steps (or groups of tokens), followed by sampling and selecting the best next steps. However, these steps and their sizes are often predetermined or manually…

As distributed systems increase in size, the need for scalable algorithms becomes more and more important. We argue that in the context of system identification, an essential building block of any scalable algorithm is the ability to…

最优化与控制 · 数学 2014-07-23 Nikolai Matni , Anders Rantzer