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In many practical applications, heuristic or approximation algorithms are used to efficiently solve the task at hand. However their solutions frequently do not satisfy natural monotonicity properties of optimal solutions. In this work we…

Machine Learning · Computer Science 2020-03-24 Evangelia Gergatsouli , Brendan Lucier , Christos Tzamos

Clustering algorithms rely on complex optimisation processes that may be difficult to comprehend, especially for individuals who lack technical expertise. While many explainable artificial intelligence techniques exist for supervised…

Machine Learning · Computer Science 2024-09-20 Aurora Spagnol , Kacper Sokol , Pietro Barbiero , Marc Langheinrich , Martin Gjoreski

We address the open question of counterfactual identification for high-dimensional multivariate outcomes from observational data. Pearl (2000) argues that counterfactuals must be identifiable (i.e., recoverable from the observed data…

Machine Learning · Computer Science 2026-03-25 Fabio De Sousa Ribeiro , Ainkaran Santhirasekaram , Ben Glocker

In our article, we describe a method for generating counterfactual explanations in high-dimensional spaces using four steps that involve fitting our dataset to a model, finding the decision boundary, determining constraints on the problem,…

Machine Learning · Computer Science 2025-11-17 Daniel Sin , Milad Toutounchian

In the environment of fair lending laws and the General Data Protection Regulation (GDPR), the ability to explain a model's prediction is of paramount importance. High quality explanations are the first step in assessing fairness.…

Machine Learning · Computer Science 2021-06-23 Rachana Balasubramanian , Samuel Sharpe , Brian Barr , Jason Wittenbach , C. Bayan Bruss

The problem of monotone submodular maximization has been studied extensively due to its wide range of applications. However, there are cases where one can only access the objective function in a distorted or noisy form because of the…

Data Structures and Algorithms · Computer Science 2022-10-24 Lingxiao Huang , Yuyi Wang , Chunxue Yang , Huanjian Zhou

We present a new method for counterfactual explanations (CFEs) based on Bayesian optimisation that applies to both classification and regression models. Our method is a globally convergent search algorithm with support for arbitrary…

Machine Learning · Computer Science 2021-06-30 Thomas Spooner , Danial Dervovic , Jason Long , Jon Shepard , Jiahao Chen , Daniele Magazzeni

Choosing optimal (or at least better) policies is an important problem in domains from medicine to education to finance and many others. One approach to this problem is through controlled experiments/trials - but controlled experiments are…

Artificial Intelligence · Computer Science 2018-02-26 Onur Atan , William R. Zame , M van der Schaar

Let G=(V,E) be a finite graph, and f:V->N be any function. The Local Search problem consists in finding a local minimum of the function f on G, that is a vertex v such that f(v) is not larger than the value of f on the neighbors of v in G.…

Quantum Physics · Physics 2007-05-23 Yves F. Verhoeven

We consider linear stochastic bandits where the set of actions is an ellipsoid. We provide the first known minimax optimal algorithm for this problem. We first derive a novel information-theoretic lower bound on the regret of any algorithm,…

Machine Learning · Statistics 2025-02-25 Raymond Zhang , Hedi Hadiji , Richard Combes

We study the problem of generating counterfactual text for a classifier as a means for understanding and debugging classification. Given a textual input and a classification model, we aim to minimally alter the text to change the model's…

Computation and Language · Computer Science 2021-10-25 Quintin Pope , Xiaoli Z. Fern

Local search is a powerful heuristic in optimization and computer science, the complexity of which was studied in the white box and black box models. In the black box model, we are given a graph $G = (V,E)$ and oracle access to a function…

Computational Complexity · Computer Science 2023-08-16 Simina Brânzei , Davin Choo , Nicholas Recker

AI-driven outcomes can be challenging for end-users to understand. Explanations can address two key questions: "Why this outcome?" (factual) and "Why not another?" (counterfactual). While substantial efforts have been made to formalize…

Artificial Intelligence · Computer Science 2025-03-21 Suryani Lim , Henri Prade , Gilles Richard

Efficient methods to evaluate new algorithms are critical for improving interactive bandit and reinforcement learning systems such as recommendation systems. A/B tests are reliable, but are time- and money-consuming, and entail a risk of…

Machine Learning · Computer Science 2021-08-04 Yusuke Narita , Shota Yasui , Kohei Yata

Conventional methods for query autocompletion aim to predict which completed query a user will select from a list. A shortcoming of this approach is that users often do not know which query will provide the best retrieval performance on the…

Information Retrieval · Computer Science 2022-04-26 Adam Block , Rahul Kidambi , Daniel N. Hill , Thorsten Joachims , Inderjit S. Dhillon

We present a time-optimal deterministic distributed algorithm for approximating a minimum weight vertex cover in hypergraphs of rank $f$. This problem is equivalent to the Minimum Weight Set Cover Problem in which the frequency of every…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-20 Ran Ben-Basat , Guy Even , Ken-ichi Kawarabayashi , Gregory Schwartzman

We attempt to provide an algorithm for approximating a solution of the quasiconvex equilibrium problem that was proved to exist by K. Fan 1972. The proposed algorithm is an iterative procedure, where the search direction at each iteration…

Optimization and Control · Mathematics 2023-04-25 Le Hai Yen , Le Dung Muu

We consider a monotone submodular maximization problem whose constraint is described by a logic formula on a graph. Formally, we prove the following three `algorithmic metatheorems.' (1) If the constraint is specified by a monadic…

Data Structures and Algorithms · Computer Science 2018-07-13 Masakazu Ishihata , Takanori Maehara , Tomas Rigaux

In the paper, the global optimization problem of a multidimensional "black-box" function satisfying the Lipschitz condition over a hyperinterval with an unknown Lipschitz constant is considered. A new efficient algorithm for solving this…

Optimization and Control · Mathematics 2015-03-19 Yaroslav D. Sergeyev , Dmitri E. Kvasov

The textbook adversary bound for function evaluation states that to evaluate a function $f\colon D\to C$ with success probability $\frac{1}{2}+\delta$ in the quantum query model, one needs at least $\left( 2\delta -\sqrt{1-4\delta^2}…

Quantum Physics · Physics 2023-03-21 Duyal Yolcu