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A default theory can be characterized by its sets of plausible conclusions, called its extensions. But, due to the theoretical complexity of Default Logic (Sigma_2p-complete), the problem of finding such an extension is very difficult if…

Artificial Intelligence · Computer Science 2007-05-23 P. Nicolas , F. Saubion , I. Stephan

We initiate a study of algorithms with a focus on the computational complexity of individual elements, and introduce the fragile complexity of comparison-based algorithms as the maximal number of comparisons any individual element takes…

Data Structures and Algorithms · Computer Science 2019-09-04 Peyman Afshani , Rolf Fagerberg , David Hammer , Riko Jacob , Irina Kostitsyna , Ulrich Meyer , Manuel Penschuck , Nodari Sitchinava

It is tempting to think that machines are less prone to unfairness and prejudice. However, machine learning approaches compute their outputs based on data. While biases can enter at any stage of the development pipeline, models are…

Computer Vision and Pattern Recognition · Computer Science 2020-12-07 Patrick Esser , Robin Rombach , Björn Ommer

Evolution is the theory that plants and animals today have come from kinds that have existed in the past. Scientists such as Charles Darwin and Alfred Wallace dedicate their life to observe how species interact with their environment, grow,…

Neural and Evolutionary Computing · Computer Science 2022-09-16 Manasa Josyula

Our goal in this paper is to automatically extract a set of decision rules (rule set) that best explains a classification data set. First, a large set of decision rules is extracted from a set of decision trees trained on the data set. The…

Neural and Evolutionary Computing · Computer Science 2022-09-19 Paul-Amaury Matt , Rosina Ziegler , Danilo Brajovic , Marco Roth , Marco F. Huber

We propose a greedy algorithm to select $N$ important features among $P$ input features for a non-linear prediction problem. The features are selected one by one sequentially, in an iterative loss minimization procedure. We use neural…

Machine Learning · Computer Science 2023-09-14 Sandipan Das , Alireza M. Javid , Prakash Borpatra Gohain , Yonina C. Eldar , Saikat Chatterjee

Recent computational experiments have demonstrated the spontaneous emergence of self-replicating programs across universal automata, artificial chemistries, and self-modifying code systems. Remarkably, these results arise without explicit…

Logic in Computer Science · Computer Science 2026-01-27 Aritra Sarkar

We study a genetic regulatory network model developed to demonstrate that genetic robustness can evolve through stabilizing selection for optimal phenotypes. We report preliminary results on whether such selection could result in a…

Molecular Networks · Quantitative Biology 2010-12-07 Volkan Sevim , Per Arne Rikvold

Functions of chemical composition are complex and discrete in nature making it impossible to optimize them with gradient methods. Genetic algorithms, which do not use derivative information, are used to maximize the thermal conductivity of…

Materials Science · Physics 2018-01-30 Alexander Kerr , Kieran Mullen

Drawing on the idea that brain development is a Darwinian process of ``evolution + selection'' and the idea that the current state is a local equilibrium state of many bodies with self-organization and evolution processes driven by the…

Neural and Evolutionary Computing · Computer Science 2020-06-16 Ping Guo , Qian Yin

In Nature Machine Intelligence 4, 367 (2022), Schuetz et al provide a scheme to employ graph neural networks (GNN) as a heuristic to solve a variety of classical, NP-hard combinatorial optimization problems. It describes how the network is…

Disordered Systems and Neural Networks · Physics 2023-01-03 Stefan Boettcher

Formal methods apply algorithms based on mathematical principles to enhance the reliability of systems. It would only be natural to try to progress from verification, model checking or testing a system against its formal specification into…

Software Engineering · Computer Science 2014-02-28 Gal Katz , Doron Peled

Selective classification techniques (also known as reject option) have not yet been considered in the context of deep neural networks (DNNs). These techniques can potentially significantly improve DNNs prediction performance by trading-off…

Machine Learning · Computer Science 2017-06-02 Yonatan Geifman , Ran El-Yaniv

With the proliferation of Deep Machine Learning into real-life applications, a particular property of this technology has been brought to attention: robustness Neural Networks notoriously present low robustness and can be highly sensitive…

Computation and Language · Computer Science 2022-07-14 Marco Casadio , Ekaterina Komendantskaya , Verena Rieser , Matthew L. Daggitt , Daniel Kienitz , Luca Arnaboldi , Wen Kokke

The fairness characteristic is a critical attribute of trusted AI systems. A plethora of research has proposed diverse methods for individual fairness testing. However, they are suffering from three major limitations, i.e., low efficiency,…

Neural and Evolutionary Computing · Computer Science 2022-05-18 Ming Fan , Wenying Wei , Wuxia Jin , Zijiang Yang , Ting Liu

This work provides an additional step in the theoretical understanding of neural networks. We consider neural networks with one hidden layer and show that when learning symmetric functions, one can choose initial conditions so that standard…

Machine Learning · Computer Science 2019-07-02 Ido Nachum , Amir Yehudayoff

Deep neural networks, when optimized with sufficient data, provide accurate representations of high-dimensional functions; in contrast, function approximation techniques that have predominated in scientific computing do not scale well with…

Data Analysis, Statistics and Probability · Physics 2021-03-15 Grant M. Rotskoff , Andrew R. Mitchell , Eric Vanden-Eijnden

Graph Neural Networks (GNNs) extend basic Neural Networks (NNs) by additionally making use of graph structure based on the relational inductive bias (edge bias), rather than treating the nodes as collections of independent and identically…

Machine Learning · Computer Science 2023-11-07 Sitao Luan , Chenqing Hua , Qincheng Lu , Jiaqi Zhu , Xiao-Wen Chang , Doina Precup

We show that the output of a (residual) convolutional neural network (CNN) with an appropriate prior over the weights and biases is a Gaussian process (GP) in the limit of infinitely many convolutional filters, extending similar results for…

Machine Learning · Statistics 2019-05-07 Adrià Garriga-Alonso , Carl Edward Rasmussen , Laurence Aitchison

Software testing is an expensive process, which is vital in the industry. Construction of the test-data in software testing requires the major cost and to decide which method to use in order to generate the test data is important. This…

Software Engineering · Computer Science 2016-11-25 Arash Mehrmand , Robert Feldt