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We present the Rate-Distortion Explanation (RDE) framework, a mathematically well-founded method for explaining black-box model decisions. The framework is based on perturbations of the target input signal and applies to any differentiable…

机器学习 · 计算机科学 2021-10-19 Stefan Kolek , Duc Anh Nguyen , Ron Levie , Joan Bruna , Gitta Kutyniok

Applying robust optimization often requires selecting an appropriate uncertainty set both in shape and size, a choice that directly affects the trade-off between average-case and worst-case performances. In practice, this calibration is…

最优化与控制 · 数学 2025-08-28 Hao Hao , Peter Zhang

Cooperative geolocation has attracted significant research interests in recent years. A large number of localization algorithms rely on the availability of statistical knowledge of measurement errors, which is often difficult to obtain in…

应用统计 · 统计学 2017-01-05 Xiufang Shi , Guoqiang Mao , Brian. D. O. Anderson , Zaiyue Yang , Jiming Chen

Feature-based explanation methods aim to quantify how features influence the model's behavior, either locally or globally, but different methods often disagree, producing conflicting explanations. This disagreement arises primarily from two…

The Reduced Basis Method (RBM) is a rigorous model reduction approach for solving parametrized partial differential equations. It identifies a low-dimensional subspace for approximation of the parametric solution manifold that is embedded…

数值分析 · 数学 2018-09-25 Yanlai Chen , Jiahua Jiang , Akil Narayan

Counterfactual explanations (CFXs) provide human-understandable justifications for model predictions, enabling actionable recourse and enhancing interpretability. To be reliable, CFXs must avoid regions of high predictive uncertainty, where…

机器学习 · 计算机科学 2025-10-24 Aman Bilkhoo , Mehran Hosseini , Milad Kazemi , Nicola Paoletti

The explainability of black-box machine learning algorithms, commonly known as Explainable Artificial Intelligence (XAI), has become crucial for financial and other regulated industrial applications due to regulatory requirements and the…

机器学习 · 计算机科学 2024-08-14 Gregory Yampolsky , Dhruv Desai , Mingshu Li , Stefano Pasquali , Dhagash Mehta

The field of Explainable Artificial Intelligence (XAI) aims to improve the interpretability of black-box machine learning models. Building a heatmap based on the importance value of input features is a popular method for explaining the…

计算机视觉与模式识别 · 计算机科学 2024-07-09 Amirhossein Aminimehr , Pouya Khani , Amirali Molaei , Amirmohammad Kazemeini , Erik Cambria

We expand the basic geometric elements of the simplex method to linear programs in locally convex topological vector spaces and provide conditions under which the method converges in value to optimality. This setting generalizes many…

最优化与控制 · 数学 2026-04-13 Robert L Smith , Christopher Thomas Ryan

Predictive black-box models can exhibit high accuracy but their opaque nature hinders their uptake in safety-critical deployment environments. Explanation methods (XAI) can provide confidence for decision-making through increased…

机器学习 · 统计学 2023-06-27 Lucile Ter-Minassian , Oscar Clivio , Karla Diaz-Ordaz , Robin J. Evans , Chris Holmes

Random projections (RP) are a popular tool for reducing dimensionality while preserving local geometry. In many applications the data set to be projected is given to us in advance, yet the current RP techniques do not make use of…

机器学习 · 计算机科学 2019-06-25 Nick Ryder , Zohar Karnin , Edo Liberty

This work presents a novel simulation-based approach for constructing confidence regions in parametric models, which is particularly suited for generative models and situations where limited data and conventional asymptotic approximations…

统计方法学 · 统计学 2026-01-22 Elena Bortolato , Laura Ventura

This paper deals with robust regression and subspace estimation and more precisely with the problem of minimizing a saturated loss function. In particular, we focus on computational complexity issues and show that an exact algorithm with…

机器学习 · 计算机科学 2019-04-22 Fabien Lauer

Explaining opaque Machine Learning (ML) models has become an increasingly important challenge. However, current eXplanation in AI (XAI) methods suffer several shortcomings, including insufficient abstraction, limited user interactivity, and…

计算机与社会 · 计算机科学 2026-03-02 Laura State , Salvatore Ruggieri , Franco Turini

Shape completion, i.e., predicting the complete geometry of an object from a partial observation, is highly relevant for several downstream tasks, most notably robotic manipulation. When basing planning or prediction of real grasps on…

计算机视觉与模式识别 · 计算机科学 2026-01-21 Matthias Humt , Dominik Winkelbauer , Ulrich Hillenbrand

The recently developed quadrature by expansion (QBX) technique accurately evaluates the layer potentials with singular, weakly or nearly singular, or even hyper singular kernels in the integral equation reformulations of partial…

数值分析 · 数学 2025-12-08 Lingyun Ding , Jingfang Huang , Jeremy L. Marzuola

Explainability remains a significant problem for AI models in medical imaging, making it challenging for clinicians to trust AI-driven predictions. We introduce 3D ReX, the first causality-based post-hoc explainability tool for 3D models.…

图像与视频处理 · 电气工程与系统科学 2025-04-30 Melane Navaratnarajah , Sophie A. Martin , David A. Kelly , Nathan Blake , Hana Chockler

A strategy is proposed for characterizing the worst-case performance of algorithms for solving nonconvex smooth optimization problems. Contemporary analyses characterize worst-case performance by providing, under certain assumptions on an…

最优化与控制 · 数学 2018-08-28 Frank E. Curtis , Daniel P. Robinson

Approximation of scattered data is often a task in many engineering problems. The Radial Basis Function (RBF) approximation is appropriate for large scattered datasets in d-dimensional space. It is non-separable approximation, as it is…

数值分析 · 数学 2018-06-13 Zuzana Majdisova , Vaclav Skala

Robust planning in interactive scenarios requires predicting the uncertain future to make risk-aware decisions. Unfortunately, due to long-tail safety-critical events, the risk is often under-estimated by finite-sampling approximations of…

机器学习 · 计算机科学 2023-01-13 Haruki Nishimura , Jean Mercat , Blake Wulfe , Rowan McAllister , Adrien Gaidon