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While machine learning can accurately model process systems, models for decision making should also be structurally simple and physically interpretable. In process control, for example, (nearly) linear models are favored than nonlinear…

Systems and Control · Electrical Eng. & Systems 2026-05-25 Wentao Tang

In this paper, we aim to explain the decisions of neural networks by utilizing multimodal information. That is counter-intuitive attributes and counter visual examples which appear when perturbed samples are introduced. Different from…

Computer Vision and Pattern Recognition · Computer Science 2020-01-28 Sadaf Gulshad , Arnold Smeulders

We present a novel and effective binary representation for convex shapes. We show the equivalence between the shape convexity and some properties of the associated indicator function. The proposed method has two advantages. Firstly, the…

Numerical Analysis · Mathematics 2020-02-25 Shousheng Luo , Xue-Cheng Tai , Yang Wang

As machine learning models become more accurate, they typically become more complex and uninterpretable by humans. The black-box character of these models holds back its acceptance in practice, especially in high-risk domains where the…

Artificial Intelligence · Computer Science 2019-08-19 Ajaya Adhikari , D. M. J Tax , Riccardo Satta , Matthias Fath

A variational model for learning convolutional image atoms from corrupted and/or incomplete data is introduced and analyzed both in function space and numerically. Building on lifting and relaxation strategies, the proposed approach is…

Optimization and Control · Mathematics 2018-12-10 Antonin Chambolle , Martin Holler Thomas Pock

With the goal of obtaining strong relaxations for binary polynomial optimization problems, we introduce the pseudo-Boolean polytope defined as the convex hull of the set of binary points satisfying a collection of equations containing…

Optimization and Control · Mathematics 2024-07-02 Alberto Del Pia , Aida Khajavirad

In an ordinary feature selection procedure, a set of important features is obtained by solving an optimization problem such as the Lasso regression problem, and we expect that the obtained features explain the data well. In this study,…

Machine Learning · Statistics 2018-10-16 Satoshi Hara , Takanori Maehara

Machine learning algorithms generally suffer from a problem of explainability. Given a classification result from a model, it is typically hard to determine what caused the decision to be made, and to give an informative explanation. We…

Machine Learning · Computer Science 2019-06-26 Jonathan Moore , Nils Hammerla , Chris Watkins

Deep learning models are notoriously opaque. Existing explanation methods often focus on localized visual explanations for individual images. Concept-based explanations, while offering global insights, require extensive annotations,…

Computer Vision and Pattern Recognition · Computer Science 2025-09-22 Kunal Rathore , Prasad Tadepalli

Explainable artificial intelligence is the attempt to elucidate the workings of systems too complex to be directly accessible to human cognition through suitable side-information referred to as "explanations". We present a trainable…

Computer Vision and Pattern Recognition · Computer Science 2021-06-01 Thomas Baumhauer , Djordje Slijepcevic , Matthias Zeppelzauer

Using Quadrics as the object representation has the benefits of both generality and closed-form projection derivation between image and world spaces. Although numerous constraints have been proposed for dual quadric reconstruction, we found…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Xiaolong Yu , Junqiao Zhao , Shuangfu Song , Zhongyang Zhu , Zihan Yuan , Chen Ye , Tiantian Feng

Writing an uncomplicated, robust, and scalable three-dimensional convex hull algorithm is challenging and problematic. This includes, coplanar and collinear issues, numerical accuracy, performance, and complexity trade-offs. While there are…

Computational Geometry · Computer Science 2023-04-11 Ben Kenwright

Convex clustering has recently garnered increasing interest due to its attractive theoretical and computational properties, but its merits become limited in the face of high-dimensional data. In such settings, pairwise affinity terms that…

Methodology · Statistics 2021-04-02 Saptarshi Chakraborty , Jason Xu

We derive a closed form description of the convex hull of mixed-integer bilinear covering set with bounds on the integer variables. This convex hull description is determined by considering some orthogonal disjunctive sets defined in a…

Optimization and Control · Mathematics 2019-03-05 Hamidur Rahman , Ashutosh Mahajan

The convex hull of a set of points, $C$, serves to expose extremal properties of $C$ and can help identify elements in $C$ of high interest. For many problems, particularly in the presence of noise, the true vertex set (and facets) may be…

Computational Geometry · Computer Science 2016-11-07 Lori Ziegelmeier , Michael Kirby , Chris Peterson

Using feature attributions for post-hoc explanations is a common practice to understand and verify the predictions of opaque machine learning models. Despite the numerous techniques available, individual methods often produce inconsistent…

Machine Learning · Computer Science 2024-06-10 Thomas Decker , Ananta R. Bhattarai , Jindong Gu , Volker Tresp , Florian Buettner

Model interpretability is an increasingly important component of practical machine learning. Some of the most common forms of interpretability systems are example-based, local, and global explanations. One of the main challenges in…

Machine Learning · Computer Science 2019-01-08 Gregory Plumb , Denali Molitor , Ameet Talwalkar

Game-theoretic formulations of feature importance have become popular as a way to "explain" machine learning models. These methods define a cooperative game between the features of a model and distribute influence among these input elements…

Artificial Intelligence · Computer Science 2020-07-01 I. Elizabeth Kumar , Suresh Venkatasubramanian , Carlos Scheidegger , Sorelle Friedler

This thesis explores the generation of local explanations for already deployed machine learning models, aiming to identify optimal conditions for producing meaningful explanations considering both data and user requirements. The primary…

Artificial Intelligence · Computer Science 2024-02-19 julien Delaunay

Most existing interpretable methods explain a black-box model in a post-hoc manner, which uses simpler models or data analysis techniques to interpret the predictions after the model is learned. However, they (a) may derive contradictory…

Machine Learning · Computer Science 2020-01-22 Mengzhuo Guo , Qingpeng Zhang , Xiuwu Liao , Daniel Dajun Zeng