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We explore the rational, formal and non-formal criteria of consistency, non-triviality and redundancy in the mathematical research now a days. We develop a paradigmatic discussion by analysing the different conceptions of those criteria,…

History and Overview · Mathematics 2018-03-01 Eleonora Catsigeras

In this paper, we study measures of quantum non-Markovianity based on the conditional mutual information. We obtain such measures by considering multiple parts of the total environment such that the conditional mutual information can be…

Quantum Physics · Physics 2021-09-15 Zhiqiang Huang , Xiao-Kan Guo

Non-reciprocal interactions are a defining feature of many complex systems, biological, ecological, and technological, often pushing them far from equilibrium and enabling rich dynamical responses. These asymmetries can arise at multiple…

Biological Physics · Physics 2026-02-17 Anna Poggialini , Serena Di Santo , Pablo Villegas , Andrea Gabrielli , Miguel A. Muñoz

Non-binding communication is common in daily life and crucial for fostering cooperation, even though it has no direct payoff consequences. However, despite robust empirical evidence, its evolutionary basis remains poorly understood. Here,…

Physics and Society · Physics 2025-07-15 Zhao Song , Chen Shen , The Anh Han

We characterize recurrence and transience of nonnegative multivariate autoregressive processes of order one with random contractive coefficient matrix, of subcritical multitype Galton-Watson branching processes in random environment with…

Probability · Mathematics 2016-10-18 Martin P. W. Zerner

We study nominal recursors from the literature on syntax with bindings and compare them with respect to expressiveness. The term "nominal" refers to the fact that these recursors operate on a syntax representation where the names of bound…

Logic in Computer Science · Computer Science 2023-11-15 Andrei Popescu

Can we effectively learn a nonlinear representation in time comparable to linear learning? We describe a new algorithm that explicitly and adaptively expands higher-order interaction features over base linear representations. The algorithm…

Machine Learning · Computer Science 2014-10-03 Alekh Agarwal , Alina Beygelzimer , Daniel Hsu , John Langford , Matus Telgarsky

Symbolic regression is a powerful system identification technique in industrial scenarios where no prior knowledge on model structure is available. Such scenarios often require specific model properties such as interpretability, robustness,…

The semantics of assignment and mutual exclusion in concurrent and multi-core/multi-processor systems is presented with attention to low level architectural features in an attempt to make the presentation realistic. Recursive functions on…

Discrete Mathematics · Computer Science 2008-10-09 Victor Yodaiken

We systematically study the boundaries of one-dimensional, 2-color cellular automata depending on 4 cells, begun from simple initial conditions. We determine the exact growth rates of the boundaries that appear to be reducible. Morphic…

Cellular Automata and Lattice Gases · Physics 2015-03-13 Charles D. Brummitt , Eric Rowland

Predictive models are fundamental to engineering reliable software systems. However, designing conservative, computable approximations for the behavior of programs (static analyses) remains a difficult and error-prone process for modern…

Programming Languages · Computer Science 2011-05-10 David Van Horn , Matthew Might

Mutations in a microbial population can increase the frequency of a genotype not only by increasing its exponential growth rate, but also by decreasing its lag time or adjusting the yield (resource efficiency). The contribution of multiple…

Populations and Evolution · Quantitative Biology 2018-02-15 Michael Manhart , Bharat V. Adkar , Eugene I. Shakhnovich

We propose a generalization of Categorial Grammar in which lexical categories are defined by means of recursive constraints. In particular, the introduction of relational constraints allows one to capture the effects of (recursive) lexical…

cmp-lg · Computer Science 2008-02-03 Gosse Bouma , Gertjan van Noord

In this paper, we address the problem of change in an abstract argumentation system. We focus on a particular change: the addition of a new argument which interacts with previous arguments. We study the impact of such an addition on the…

Artificial Intelligence · Computer Science 2014-01-17 Claudette Cayrol , Florence Dupin de Saint-Cyr , Marie-Christine Lagasquie-Schiex

We consider learning a predictor which is non-discriminatory with respect to a "protected attribute" according to the notion of "equalized odds" proposed by Hardt et al. [2016]. We study the problem of learning such a non-discriminatory…

Machine Learning · Computer Science 2017-11-03 Blake Woodworth , Suriya Gunasekar , Mesrob I. Ohannessian , Nathan Srebro

This paper is concerned with rule-based programs that go wrong. The unwanted behavior of rule applications is non-termination or failure of a computation. We propose a static program analysis of the non-termination problem for recursion in…

Programming Languages · Computer Science 2017-01-11 Thom Fruehwirth

Consider a discrete finite-dimensional, Markovian market model. In this setting, discretely sampled American options can be priced using the so-called ``non-recombining'' tree algorithm. By successively increasing the number of exercise…

Probability · Mathematics 2007-05-23 Frederik S Herzberg

Data-driven subword segmentation has become the default strategy for open-vocabulary machine translation and other NLP tasks, but may not be sufficiently generic for optimal learning of non-concatenative morphology. We design a test suite…

Computation and Language · Computer Science 2021-09-03 Chantal Amrhein , Rico Sennrich

We present a new and compelling approach to the efficient solution of important computational problems that arise in the context of abstract argumentation. Our approach makes known algorithms defined for restricted fragments generally…

Artificial Intelligence · Computer Science 2011-04-18 Sebastian Ordyniak , Stefan Szeider

We present a differentiable stack data structure that simultaneously and tractably encodes an exponential number of stack configurations, based on Lang's algorithm for simulating nondeterministic pushdown automata. We call the combination…

Computation and Language · Computer Science 2022-12-01 Brian DuSell , David Chiang
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