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The representation of polynomials by arithmetic circuits evaluating them is an alternative data structure which allowed considerable progress in polynomial equation solving in the last fifteen years. We present a circuit based computation…

Computational Complexity · Computer Science 2012-04-26 Joos Heintz , Bart Kuijpers , Andres Rojas Paredes

The software package developed in the MS thesis research implements functions for the intelligent guessing of polynomial sequence formulas based on user-defined expected sequence factors of the input coefficients. We present a specialized…

Combinatorics · Mathematics 2016-09-26 Maxie D. Schmidt

Over the last decades, deep neural networks based-models became the dominant paradigm in machine learning. Further, the use of artificial neural networks in symbolic learning has been seen as increasingly relevant recently. To study the…

Machine Learning · Computer Science 2025-06-03 João Flach , Alvaro F. Moreira , Luis C. Lamb

Profiling tools (also known as profilers) play an important role in understanding program performance at runtime, such as hotspots, bottlenecks, and inefficiencies. While profilers have been proven to be useful, they give extra burden to…

Software Engineering · Computer Science 2025-08-06 Zhuoran Liu

Algorithms are ways of mapping problems to solutions. An algorithm is invertible precisely when this mapping is injective, such that the initial problem can be uniquely inferred from its solution. While invertible algorithms can be…

Programming Languages · Computer Science 2022-12-08 Joachim Tilsted Kristensen , Robin Kaarsgaard , Michael Kirkedal Thomsen

Vector Symbolic Architectures (VSAs) have been widely deployed in various cognitive applications due to their simple and efficient operations. The widespread adoption of VSAs has, in turn, spurred the development of numerous hardware…

Hardware Architecture · Computer Science 2025-11-24 Shuting Du , Mohamed Ibrahim , Zishen Wan , Luqi Zheng , Boheng Zhao , Zhenkun Fan , Che-Kai Liu , Tushar Krishna , Arijit Raychowdhury , Haitong Li

Background: Software is an important windows to offer a variety of complex instrument control and data processing for nuclear magnetic resonance (NMR) spectrometer. NMR software should allow researchers to flexibly implement various…

Quantitative Methods · Quantitative Biology 2021-03-30 Zao Liu , Kan Song , Zhiwei Chen

When neural networks are used to solve differential equations, they usually produce solutions in the form of black-box functions that are not directly mathematically interpretable. We introduce a method for generating symbolic expressions…

Machine Learning · Computer Science 2020-11-05 Maysum Panju , Ali Ghodsi

The focus of these lecture notes is on abstract models and basic ideas and results that relate to the operational semantics of programming languages largely conceived. The approach is to start with an abstract description of the computation…

Programming Languages · Computer Science 2025-10-15 Roberto M. Amadio

Of the complex features of generic nominally-typed OO type systems, wildcard types and variance annotations are probably the hardest to fully grasp. As demonstrated when adding closures (a.k.a., lambdas) and when extending type inference in…

Programming Languages · Computer Science 2018-07-17 Moez A. AbdelGawad

This is a companion draft to paper 'Software Clustering: Unifying Syntactic and Semantic Features', in proceedings of the 19th Working Conference on Reverse Engineering (WCRE 2012). It discusses the clustering process in detail, which…

Software Engineering · Computer Science 2018-06-29 Janardan Misra , Vikrant Kaulgud , Gary Titus , Annervaz KM , Shubhashis Sengupta

In the last ten years, the employment of symbolic methods has substantially extended both the theory and the applications of statistics and probability. This survey reviews the development of a symbolic technique arising from classical…

Statistics Theory · Mathematics 2015-12-29 Elvira Di Nardo

Nonlinear dynamics and pattern formation in the systems with quadratic nonlinearity is computed symbolically by specially developed MATHEMATICA package. A Web interface for the presented methods is developed, which turns the implementations…

Pattern Formation and Solitons · Physics 2016-09-08 E. Kartashova , C. Raab , Ch. Feurer , G. Mayrhofer , W. Schreiner

We propose a novel architecture for integrating large language models (LLMs) with a persistent, interactive Lisp environment. This setup enables LLMs to define, invoke, and evolve their own tools through programmatic interaction with a live…

Programming Languages · Computer Science 2025-06-13 Jordi de la Torre

Currently statistical and artificial neural network methods dominate in financial data mining. Alternative relational (symbolic) data mining methods have shown their effectiveness in robotics, drug design and other applications.…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 B. Kovalerchuk , E. Vityaev , H. Yusupov

We introduce a scalable, modular, and sound approach for automatically constructing formal security specifications for Java bytecode programs in the form of method summaries. A summary provides an abstract representation of a method's…

Cryptography and Security · Computer Science 2025-12-24 Narges Khakpour , Nicolas Berthier

We report about significant enhancements of the complex algebraic geometry theorem proving subsystem in GeoGebra for automated proofs in Euclidean geometry, concerning the extension of numerous GeoGebra tools with proof capabilities. As a…

Artificial Intelligence · Computer Science 2016-03-04 Zoltán Kovács , Csilla Sólyom-Gecse

Mathematical formulae carry complex and essential semantic information in a variety of formats. Accessing this information with different systems requires a standardized machine-readable format that is capable of encoding presentational and…

Digital Libraries · Computer Science 2021-09-20 André Greiner-Petter , Moritz Schubotz , Howard S. Cohl , Bela Gipp

Traditional software engineering programming paradigms are mostly object or procedure oriented, driven by deterministic algorithms. With the advent of deep learning and cognitive sciences there is an emerging trend for data-driven…

Software Engineering · Computer Science 2017-11-17 Anush Sankaran , Rahul Aralikatte , Senthil Mani , Shreya Khare , Naveen Panwar , Neelamadhav Gantayat

We introduce Metatheory.jl: a lightweight and performant general purpose symbolics and metaprogramming framework meant to simplify the act of writing complex Julia metaprograms and to significantly enhance Julia with a native term rewriting…

Programming Languages · Computer Science 2021-04-14 Alessandro Cheli
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