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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…

Optimization and Control · Mathematics 2025-12-23 Kevin-Martin Aigner , Marc Goerigk , Michael Hartisch , Frauke Liers , Arthur Miehlich , Florian Rösel

With dramatic improvements in optimization software, the solution of large-scale problems that seemed intractable decades ago are now a routine task. This puts even more real-world applications into the reach of optimizers. At the same…

Optimization and Control · Mathematics 2023-03-07 Marc Goerigk , Michael Hartisch

Data-driven optimization uses contextual information and machine learning algorithms to find solutions to decision problems with uncertain parameters. While a vast body of work is dedicated to interpreting machine learning models in the…

Machine Learning · Computer Science 2023-07-21 Alexandre Forel , Axel Parmentier , Thibaut Vidal

Mathematical optimization offers highly-effective tools for finding solutions for problems with well-defined goals, notably scheduling. However, optimization solvers are often unexplainable black boxes whose solutions are inaccessible to…

Artificial Intelligence · Computer Science 2019-02-21 Kristijonas Čyras , Dimitrios Letsios , Ruth Misener , Francesca Toni

Explainability is needed to establish confidence in machine learning results. Some explainable methods take a post hoc approach to explain the weights of machine learning models, others highlight areas of the input contributing to…

Machine Learning · Computer Science 2024-07-15 Paul Whitten , Francis Wolff , Chris Papachristou

The emergence of tools based on artificial intelligence has also led to the need of producing explanations which are understandable by a human being. In most approaches, the system is considered a black box, making it difficult to generate…

Artificial Intelligence · Computer Science 2024-10-23 Germán Vidal

We propose a novel numerical approach to compute the Pareto front in multivariate polynomial multi-objective optimization problems. When the objective functions and (equality) constraints are multivariate polynomials, the Pareto front,…

Optimization and Control · Mathematics 2026-04-06 Hans van Rooij , Christof Vermeersch , Marie Deferme , Bart De Moor

There is a well known intrinsic trade-off between the fairness of a representation and the performance of classifiers derived from the representation. Due to the complexity of optimisation algorithms in most modern representation learning…

Machine Learning · Statistics 2025-10-27 Mark Kozdoba , Binyamin Perets , Shie Mannor

For optimization models to be used in practice, it is crucial that users trust the results. A key factor in this aspect is the interpretability of the solution process. A previous framework for inherently interpretable optimization models…

Optimization and Control · Mathematics 2026-02-13 Marc Goerigk , Michael Hartisch , Sebastian Merten , Kartikey Sharma

When predictive models are used to support complex and important decisions, the ability to explain a model's reasoning can increase trust, expose hidden biases, and reduce vulnerability to adversarial attacks. However, attempts at…

Machine Learning · Computer Science 2019-07-11 Dimitris Bertsimas , Arthur Delarue , Patrick Jaillet , Sebastien Martin

Machines are being increasingly used in decision-making processes, resulting in the realization that decisions need explanations. Unfortunately, an increasing number of these deployed models are of a 'black-box' nature where the reasoning…

Artificial Intelligence · Computer Science 2023-11-07 Sopam Dasgupta

Probabilistic inferences distill knowledge from graphs to aid human make important decisions. Due to the inherent uncertainty in the model and the complexity of the knowledge, it is desirable to help the end-users understand the inference…

Social and Information Networks · Computer Science 2019-08-21 Chao Chen , Yifei Liu , Xi Zhang , Sihong Xie

Machine learning algorithms enable advanced decision making in contemporary intelligent systems. Research indicates that there is a tradeoff between their model performance and explainability. Machine learning models with higher performance…

Machine Learning · Computer Science 2022-06-23 Lukas-Valentin Herm , Kai Heinrich , Jonas Wanner , Christian Janiesch

We consider the problem of explaining the predictions of an arbitrary blackbox model $f$: given query access to $f$ and an instance $x$, output a small set of $x$'s features that in conjunction essentially determines $f(x)$. We design an…

Machine Learning · Computer Science 2021-11-03 Guy Blanc , Jane Lange , Li-Yang Tan

When explaining black-box machine learning models, it's often important for explanations to have certain desirable properties. Most existing methods `encourage' desirable properties in their construction of explanations. In this work, we…

Machine Learning · Computer Science 2025-07-22 Hiwot Belay Tadesse , Alihan Hüyük , Yaniv Yacoby , Weiwei Pan , Finale Doshi-Velez

Machine learning models in safety-critical settings like healthcare are often blackboxes: they contain a large number of parameters which are not transparent to users. Post-hoc explainability methods where a simple, human-interpretable…

Machine Learning · Computer Science 2022-06-03 Aparna Balagopalan , Haoran Zhang , Kimia Hamidieh , Thomas Hartvigsen , Frank Rudzicz , Marzyeh Ghassemi

We conceptualize explainability in terms of logic and formula size, giving a number of related definitions of explainability in a very general setting. Our main interest is the so-called special explanation problem which aims to explain the…

Artificial Intelligence · Computer Science 2022-10-26 Reijo Jaakkola , Tomi Janhunen , Antti Kuusisto , Masood Feyzbakhsh Rankooh , Miikka Vilander

We consider the hardness of approximation of optimization problems from the point of view of definability. For many NP-hard optimization problems it is known that, unless P = NP, no polynomial-time algorithm can give an approximate solution…

Logic in Computer Science · Computer Science 2019-08-30 Albert Atserias , Anuj Dawar

With the increasing deployment of machine learning systems in practice, transparency and explainability have become serious issues. Contrastive explanations are considered to be useful and intuitive, in particular when it comes to…

Machine Learning · Computer Science 2021-01-05 André Artelt , Barbara Hammer

Software analytics has been the subject of considerable recent attention but is yet to receive significant industry traction. One of the key reasons is that software practitioners are reluctant to trust predictions produced by the analytics…

Software Engineering · Computer Science 2018-02-05 Hoa Khanh Dam , Truyen Tran , Aditya Ghose
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