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Attempts to replicate probabilistic reasoning in expert systems have typically overlooked a critical ingredient of that process. Probabilistic analysis typically requires extensive judgments regarding interdependencies among hypotheses and…

Artificial Intelligence · Computer Science 2013-04-15 Marvin S. Cohen

Modeling biological processes is a highly demanding task because not all processes are fully understood. Mathematical models allow us to test hypotheses about possible mechanisms of biological processes. The mathematical mechanisms…

Numerical Analysis · Mathematics 2023-12-11 Cordula Reisch , Hannah Burmester

Due to the increasing use of machine learning in practice it becomes more and more important to be able to explain the prediction and behavior of machine learning models. An instance of explanations are counterfactual explanations which…

Machine Learning · Computer Science 2019-11-19 André Artelt , Barbara Hammer

Despite differing from the human language processing mechanism in implementation and algorithms, current language models demonstrate remarkable human-like or surpassing language capabilities. Should computational language models be employed…

Computation and Language · Computer Science 2024-03-21 Shaonan Wang , Jingyuan Sun , Yunhao Zhang , Nan Lin , Marie-Francine Moens , Chengqing Zong

Confirmation bias is a cognitive bias that adversely affects management decisions, and mathematical modelling is an aid to its detailed understanding. Bias in opinion update about the value of a parameter is modelled here assuming that…

Other Statistics · Statistics 2022-02-08 Rose D Baker

Explaining the behaviour of intelligent systems will get increasingly and perhaps intractably challenging as models grow in size and complexity. We may not be able to expect an explanation for every prediction made by a brain-scale model,…

Artificial Intelligence · Computer Science 2022-05-23 Advait Sarkar

Literature involving preferences of artificial agents or human beings often assume their preferences can be represented using a complete transitive binary relation. Much has been written however on different models of preferences. We review…

Artificial Intelligence · Computer Science 2018-01-17 Olivier Cailloux , Sébastien Destercke

Many cognitive neuroscience studies use large feature sets to predict and interpret brain activity patterns. Feature sets take many forms, from human stimulus annotations to representations in deep neural networks. Of crucial importance in…

Neurons and Cognition · Quantitative Biology 2022-12-07 Anna A. Ivanova , Martin Schrimpf , Stefano Anzellotti , Noga Zaslavsky , Evelina Fedorenko , Leyla Isik

One of the greatest research challenges of this century is to understand the neural basis for how behavior emerges in brain-body-environment systems. To this end, research has flourished along several directions but have predominantly…

Neurons and Cognition · Quantitative Biology 2021-06-10 Madhavun Candadai

Development of several alternative mathematical models for the biological system in question and discrimination between such models using experimental data is the best way to robust conclusions. Models which challenge existing theories are…

Quantitative Methods · Quantitative Biology 2016-02-01 Vitaly V. Ganusov

Including pairwise interactions between the predictors of a regression model can produce better predicting models. However, to fit such interaction models on typical data sets in biology and other fields can often require solving enormous…

Methodology · Statistics 2023-02-14 Guo Yu , Jacob Bien , Ryan Tibshirani

Declarative approaches to process modeling are regarded as well suited for highly volatile environments as they provide a high degree of flexibility. However, problems in understanding and maintaining declarative business process models…

Software Engineering · Computer Science 2015-11-12 Cornelia Haisjackl , Stefan Zugal , Pnina Soffer , Irit Hadar , Manfred Reichert , Jakob Pinggera , Barbara Weber

Although deep models achieve high predictive performance, it is difficult for humans to understand the predictions they made. Explainability is important for real-world applications to justify their reliability. Many example-based…

Machine Learning · Statistics 2021-12-08 Tomoharu Iwata , Yuya Yoshikawa

Excellent computer simulations are done for a purpose. The most valid purposes are to explore uncharted territory, to resolve a well-posed scientific or technical question, or to make a design choice. Stand-alone modeling can serve the…

Numerical Analysis · Mathematics 2025-10-20 Leo P. Kadanoff

The past century has seen a steady increase in the need of estimating and predicting complex systems and making (possibly critical) decisions with limited information. Although computers have made possible the numerical evaluation of…

Statistics Theory · Mathematics 2017-01-13 Houman Owhadi , Clint Scovel

Computational models are of increasing complexity and their behavior may in particular emerge from the interaction of different parts. Studying such models becomes then more and more difficult and there is a need for methods and tools…

Neural and Evolutionary Computing · Computer Science 2015-07-27 Stéphane Doncieux , Jean Liénard , Benoît Girard , Mohamed Hamdaoui , Joël Chaskalovic

Counterfactual prediction methods are required when a model will be deployed in a setting where treatment policies differ from the setting where the model was developed, or when a model provides predictions under hypothetical interventions…

Methodology · Statistics 2025-08-13 Christopher B. Boyer , Issa J. Dahabreh , Jon A. Steingrimsson

The exploration of complex physical or technological processes usually requires exploiting available information from different sources: (i) physical laws often represented as a family of parameter dependent partial differential equations…

Numerical Analysis · Mathematics 2020-02-04 Albert Cohen , Wolfgang Dahmen , Ron DeVore

We evaluate four computational models of explanation in Bayesian networks by comparing model predictions to human judgments. In two experiments, we present human participants with causal structures for which the models make divergent…

Artificial Intelligence · Computer Science 2013-09-27 Michael Pacer , Joseph Williams , Xi Chen , Tania Lombrozo , Thomas Griffiths

Computer-based modelling and simulation have become useful tools to facilitate humans to understand systems in different domains, such as physics, astrophysics, chemistry, biology, economics, engineering and social science. A complex system…

Artificial Intelligence · Computer Science 2021-02-03 Xing Su , Yan Kong , Weihua Li