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We present a new method of blackbox optimization via gradient approximation with the use of structured random orthogonal matrices, providing more accurate estimators than baselines and with provable theoretical guarantees. We show that this…

机器学习 · 计算机科学 2018-06-13 Krzysztof Choromanski , Mark Rowland , Vikas Sindhwani , Richard E. Turner , Adrian Weller

Given a quantum Hamiltonian and its evolution time, the corresponding unitary evolution operator can be constructed in many different ways, corresponding to different trajectories between the desired end-points. A choice among these…

量子物理 · 物理学 2015-03-05 Apoorva Patel

Interpretability has become incredibly important as machine learning is increasingly used to inform consequential decisions. We propose to construct global explanations of complex, blackbox models in the form of a decision tree…

机器学习 · 计算机科学 2019-01-28 Osbert Bastani , Carolyn Kim , Hamsa Bastani

Mathematical optimization, although often leading to NP-hard models, is now capable of solving even large-scale instances within reasonable time. However, the primary focus is often placed solely on optimality. This implies that while…

Black-box optimization is often encountered for decision-making in complex systems management, where the knowledge of system is limited. Under these circumstances, it is essential to balance the utilization of new information with…

统计计算 · 统计学 2025-01-15 Teng Lian , Jian-Qiang Hu , Yuhang Wu , Zeyu Zheng

Complexity theory offers a variety of concise computational models for computing boolean functions - branching programs, circuits, decision trees and ordered binary decision diagrams to name a few. A natural question that arises in this…

计算复杂性 · 计算机科学 2013-06-18 Netanel Raviv

Bilevel optimization is a field of significant theoretical and practical interest, yet solving such optimization problems remains challenging. Evolutionary methods have been employed to address these problems in the black-box setting;…

神经与进化计算 · 计算机科学 2026-04-06 Marc Ong , Youhei Akimoto

Algorithm portfolios represent a strategy of composing multiple heuristic algorithms, each suited to a different class of problems, within a single general solver that will choose the best suited algorithm for each input. This approach…

人工智能 · 计算机科学 2014-05-16 Petr Baudiš

Deep learning algorithms have recently shown to be a successful tool in estimating parameters of statistical models for which simulation is easy, but likelihood computation is challenging. But the success of these approaches depends on…

机器学习 · 统计学 2024-02-20 Amanda Lenzi , Haavard Rue

Differential MAP-Elites is a novel algorithm that combines the illumination capacity of CVT-MAP-Elites with the continuous-space optimization capacity of Differential Evolution. The algorithm is motivated by observations that illumination…

神经与进化计算 · 计算机科学 2021-07-13 Tae Jong Choi , Julian Togelius

Importance sampling is widely used in machine learning and statistics, but its power is limited by the restriction of using simple proposals for which the importance weights can be tractably calculated. We address this problem by studying…

机器学习 · 统计学 2016-10-18 Qiang Liu , Jason D. Lee

Through the lens of information-theoretic reductions, we examine a reductions approach to fair optimization and learning where a black-box optimizer is used to learn a fair model for classification or regression. Quantifying the complexity,…

机器学习 · 计算机科学 2021-05-25 Daniel Alabi

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

An important question in evolutionary computation is how good solutions evolutionary algorithms can produce. This paper aims to provide an analytic analysis of solution quality in terms of the relative approximation error, which is defined…

神经与进化计算 · 计算机科学 2016-11-28 Jun He

This paper is devoted to the study (common in many applications) of the black-box optimization problem, where the black-box represents a gradient-free oracle $\tilde{f} = f(x) + \xi$ providing the objective function value with some…

最优化与控制 · 数学 2024-07-08 Aleksandr Lobanov

The mathematical runtime analysis of evolutionary algorithms traditionally regards the time an algorithm needs to find a solution of a certain quality when initialized with a random population. In practical applications it may be possible…

神经与进化计算 · 计算机科学 2025-11-14 Denis Antipov , Maxim Buzdalov , Benjamin Doerr

Known as two cornerstones of problem solving by search, exploitation and exploration are extensively discussed for implementation and application of evolutionary algorithms (EAs). However, only a few researches focus on evaluation and…

神经与进化计算 · 计算机科学 2020-01-30 Yu Chen , Jun He

The no free lunch theorem states that no model is better suited to every problem. A question that arises from this is how to design methods that propose optimizers tailored to specific problems achieving state-of-the-art performance. This…

机器学习 · 计算机科学 2021-03-08 Hugo Siqueira Gomes , Benjamin Léger , Christian Gagné

Black-box alpha (BB-$\alpha$) is a new approximate inference method based on the minimization of $\alpha$-divergences. BB-$\alpha$ scales to large datasets because it can be implemented using stochastic gradient descent. BB-$\alpha$ can be…

Drift analysis is a powerful tool for analyzing the time complexity of evolutionary algorithms. However, it requires manual construction of drift functions to bound hitting time for each specific algorithm and problem. To address this…

神经与进化计算 · 计算机科学 2026-03-04 Jun He , Siang Yew Chong , Xin Yao