Aims & Scope
Annals of Mathematics and Computer Science is an international, peer-reviewed journal publishing original research on the mathematics that supports computation and learning: the analysis, structures, and methods needed to design computational procedures, establish their guarantees, and understand why they work.
The journal welcomes both theoretical and applied contributions in the following core areas, listed in order of the journal's current emphasis:
- Machine learning and its mathematical foundations, including approximation and expressivity, generalization and stability, optimization for learning, kernel and operator methods, interpretability with formal guarantees, and secure or privacy-preserving learning
- Operators, function spaces, and spectral analysis, including operator-theoretic treatments of transforms, iterations, and data-driven models
- Approximation, inequalities, and iterative methods, including fixed point and iterative schemes and their convergence and complexity
- Numerical analysis and scientific computing, including discretization, error and stability analysis, and numerical or hybrid methods for differential and integral equations
- Probability, statistics, and stochastic modelling, where the contribution is methodological
- Discrete structures and algorithms, including graph theory, combinatorics, computational algebra, number theory, and cryptography with explicit algorithmic content
Every submission is expected to state its computational relevance explicitly. A theoretical contribution should identify the algorithmic, approximation-theoretic, or learning-theoretic consequence of its results. An applied contribution should advance a method rather than instantiate an existing one. Manuscripts of purely theoretical mathematics with no stated computational bearing, and applications of established methods to a domain dataset with no methodological novelty, fall outside the journal's scope regardless of technical correctness.
The journal serves a global readership of researchers, practitioners, and educators working at the interface of mathematics and computation. It aims to foster dialogue between the two disciplines and to publish work that advances both theoretical understanding and its computational consequences.
