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Model uncertainties and simulation uncertainties occur in mathematical modeling of multiscale complex systems, since some mechanisms or scales are not represented (i.e., "unresolved") due to lack in our understanding of these mechanisms or…

Dynamical Systems · Mathematics 2008-11-25 Jinqiao Duan

Traditional relation extraction predicts relations within some fixed and finite target schema. Machine learning approaches to this task require either manual annotation or, in the case of distant supervision, existing structured sources of…

Machine Learning · Computer Science 2013-01-29 Sebastian Riedel , Limin Yao , Andrew McCallum

We consider a class of stochastic programs whose uncertain data has an exponential number of possible outcomes, where scenarios are affinely parametrized by the vertices of a tractable binary polytope. Under these conditions, we propose a…

Optimization and Control · Mathematics 2020-04-03 Gustavo Angulo

Deep neural networks have demonstrated remarkable performance in many data-driven and prediction-oriented applications, and sometimes even perform better than humans. However, their most significant drawback is the lack of interpretability,…

Machine Learning · Computer Science 2023-02-22 Jiahui Li , Kun Kuang , Lin Li , Long Chen , Songyang Zhang , Jian Shao , Jun Xiao

Interpretability and explainability have gained more and more attention in the field of machine learning as they are crucial when it comes to high-stakes decisions and troubleshooting. Since both provide information about predictors and…

Machine Learning · Computer Science 2024-04-26 Benjamin Leblanc , Pascal Germain

After the tremendous advances of deep learning and other AI methods, more attention is flowing into other properties of modern approaches, such as interpretability, fairness, etc. combined in frameworks like Responsible AI. Two research…

Artificial Intelligence · Computer Science 2021-05-26 Dominik Seuß

Inference in expressive probabilistic models is generally intractable, which makes them difficult to learn and limits their applicability. Sum-product networks are a class of deep models where, surprisingly, inference remains tractable even…

Machine Learning · Computer Science 2016-11-14 Abram L. Friesen , Pedro Domingos

Large Language Models (LLMs) have shown promise in clinical applications through prompt engineering, allowing flexible clinical predictions. However, they struggle to produce reliable prediction probabilities, which are crucial for…

Artificial Intelligence · Computer Science 2024-12-05 Bowen Gu , Rishi J. Desai , Kueiyu Joshua Lin , Jie Yang

Explainable AI is an emerging field providing solutions for acquiring insights into automated systems' rationale. It has been put on the AI map by suggesting ways to tackle key ethical and societal issues. Existing explanation techniques…

Machine Learning · Computer Science 2022-05-02 Ioannis Mollas , Nick Bassiliades , Grigorios Tsoumakas

Many practical scenarios make it necessary to evaluate top-k queries over data items with partially unknown values. This paper considers a setting where the values are taken from a numerical domain, and where some partial order constraints…

Databases · Computer Science 2019-08-28 Antoine Amarilli , Yael Amsterdamer , Tova Milo , Pierre Senellart

Explainable models in Artificial Intelligence are often employed to ensure transparency and accountability of AI systems. The fidelity of the explanations are dependent upon the algorithms used as well as on the fidelity of the data. Many…

Machine Learning · Computer Science 2019-07-31 Muhammad Aurangzeb Ahmad , Carly Eckert , Ankur Teredesai

Probabilities in the multiverse can be calculated by assuming that we are typical representatives in a given reference class. But is this class well defined? What should be included in the ensemble in which we are supposed to be typical?…

High Energy Physics - Theory · Physics 2008-11-26 Jaume Garriga , Alexander Vilenkin

When we work with information from multiple sources, the formalism each employs to handle uncertainty may not be uniform. In order to be able to combine these knowledge bases of different formats, we need to first establish a common basis…

Artificial Intelligence · Computer Science 2013-02-18 Choh Man Teng

Understanding why machine learning models behave the way they do empowers both system designers and end-users in many ways: in model selection, feature engineering, in order to trust and act upon the predictions, and in more intuitive user…

Machine Learning · Statistics 2016-06-20 Marco Tulio Ribeiro , Sameer Singh , Carlos Guestrin

When quantitative models are used to support decision-making on complex and important topics, understanding a model's ``reasoning'' can increase trust in its predictions, expose hidden biases, or reduce vulnerability to adversarial attacks.…

Machine Learning · Computer Science 2019-07-09 Dimitris Bertsimas , Arthur Delarue , Patrick Jaillet , Sebastien Martin

The process of doing Science in condition of uncertainty is illustrated with a toy experiment in which the inferential and the forecasting aspects are both present. The fundamental aspects of probabilistic reasoning, also relevant in real…

History and Overview · Mathematics 2018-02-07 Giulio D'Agostini

In natural language, words and phrases themselves imply the semantics. In contrast, the meaning of identifiers in mathematical formulae is undefined. Thus scientists must study the context to decode the meaning. The Mathematical Language…

Digital Libraries · Computer Science 2019-07-02 Robert Pagael , Moritz Schubotz

The widespread success of large language models (LLMs) has been met with skepticism that they possess anything like human concepts or meanings. Contrary to claims that LLMs possess no meaning whatsoever, we argue that they likely capture…

Computation and Language · Computer Science 2022-08-15 Steven T. Piantadosi , Felix Hill

Reasoning on large and complex real-world models is a computationally difficult task, yet one that is required for effective use of many AI applications. A plethora of inference algorithms have been developed that work well on specific…

Artificial Intelligence · Computer Science 2016-06-13 Avi Pfeffer , Brian Ruttenberg , William Kretschmer

Large language models (LLMs) process and predict sequences containing text to answer questions, and address tasks including document summarization, providing recommendations, writing software and solving quantitative problems. We provide a…

Numerical Analysis · Mathematics 2026-02-02 Ricardo Baptista , Andrew Stuart , Son Tran