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Semidefinite programming (SDP) is a fundamental class of convex optimization problems with diverse applications in mathematics, engineering, machine learning, and related disciplines. This paper investigates the application of the…

Optimization and Control · Mathematics 2025-10-15 Zilong Cui , Ran Gu

Symbolic regression aims to discover human-interpretable equations that explain observational data. However, existing approaches rely heavily on discrete structure search (e.g., genetic programming), which often leads to high computational…

Machine Learning · Computer Science 2026-03-25 Fateme Memar , Tao Zhe , Dongjie Wang

The so-called algebraic approach to the constraint satisfaction problem (CSP) has been a prevalent method of the study of complexity of these problems since early 2000's. The core of this approach is the notion of polymorphisms which…

Logic in Computer Science · Computer Science 2026-05-15 Maximilian Hadek , Tomáš Jakl , Jakub Opršal

Recent advances in probabilistic modelling have led to a large number of simulation-based inference algorithms which do not require numerical evaluation of likelihoods. However, a public benchmark with appropriate performance metrics for…

Machine Learning · Statistics 2021-04-12 Jan-Matthis Lueckmann , Jan Boelts , David S. Greenberg , Pedro J. Gonçalves , Jakob H. Macke

Large language models (LLMs) have achieved impressive results on multi-step mathematical reasoning, yet at the cost of high computational overhead. This challenge is particularly acute for test-time scaling methods such as parallel…

Machine Learning · Computer Science 2026-03-24 Yuanlin Chu , Bo Wang , Xiang Liu , Hong Chen , Aiwei Liu , Xuming Hu

The challenge of answering graph queries over incomplete knowledge graphs is gaining significant attention in the machine learning community. Neuro-symbolic models have emerged as a promising approach, combining good performance with high…

Machine Learning · Computer Science 2024-06-06 Tamara Cucumides , Daniel Daza , Pablo Barceló , Michael Cochez , Floris Geerts , Juan L Reutter , Miguel Romero

In this paper, we present SCALAR (Symbolic Conjecture and LLM-Assisted Reasoning), a neurosymbolic framework for automated conjecture generation in quantum circuit analysis built on top of the CUDA-Q open source framework. The system…

The computing ecosystem has always had deep impacts on society and technology and profoundly changed our lives in myriads of ways. Despite decades of impressive Moore's Law performance scaling and other growth in the computing ecosystem…

Emerging Technologies · Computer Science 2019-03-27 Margaret Martonosi , Martin Roetteler

Systematic literature reviews (SLRs) are at the heart of evidence-based research, setting the foundation for future research and practice. However, producing good quality timely contributions is a challenging and highly cognitive endeavor,…

Digital Libraries · Computer Science 2020-12-16 Maisie Badami , Marcos Baez , Shayan Zamanirad , Wei Kang

Symbolic execution now becomes an indispensable technique for software testing and program analysis. There are several symbolic execution tools available off-the-shelf, and we need a practical benchmark approach to learn their capabilities.…

Software Engineering · Computer Science 2018-05-28 Hui Xu , Zirui Zhao , Yangfan Zhou , Michael R. Lyu

Cyber-Physical Systems (CPS) pose new challenges to verification and validation that go beyond the proof of functional correctness based on high-level models. Particular challenges are, in particular for formal methods, its heterogeneity…

Software Engineering · Computer Science 2017-05-02 Carna Radojicic , Christoph Grimm , Axel Jantsch , Michael Rathmair

Quantum computers have demonstrated utility in simulating quantum systems beyond brute-force classical approaches. As the community builds on these demonstrations to explore using quantum computing for applied research, algorithms and…

Context: Tertiary studies in software engineering (TS@SE) are widely used to synthesise evidence on a research topic systematically. As part of their protocol, TS@SE define inclusion and exclusion criteria (IC/EC) aimed at selecting those…

Software Engineering · Computer Science 2021-10-20 Dolors Costal , Carles Farré , Xavier Franch , Carme Quer

Integrating symbolic techniques with statistical ones is a long-standing problem in artificial intelligence. The motivation is that the strengths of either area match the weaknesses of the other, and $\unicode{x2013}$ by combining the two…

Artificial Intelligence · Computer Science 2024-10-30 Jonathan Feldstein , Paulius Dilkas , Vaishak Belle , Efthymia Tsamoura

Many security and software testing applications require checking whether certain properties of a program hold for any possible usage scenario. For instance, a tool for identifying software vulnerabilities may need to rule out the existence…

Software Engineering · Computer Science 2018-05-03 Roberto Baldoni , Emilio Coppa , Daniele Cono D'Elia , Camil Demetrescu , Irene Finocchi

Predicate abstraction is a key enabling technology for applying finite-state model checkers to programs written in mainstream languages. It has been used very successfully for debugging sequential system-level C code. Although model…

Programming Languages · Computer Science 2015-03-18 Alastair Donaldson , Alexander Kaiser , Daniel Kroening , Thomas Wahl

Standard metrics of performance of classifiers, such as accuracy and sensitivity, do not reveal the trust or confidence in the predicted labels of data. While other metrics such as the computed probability of a label or the signed distance…

Machine Learning · Computer Science 2023-02-22 Ranjani Niranjan , Sachit Rao

Self-Consistency (SC) is an effective decoding strategy that improves the reasoning performance of Large Language Models (LLMs) by generating multiple chain-of-thought reasoning paths and selecting the final answer via majority voting.…

Computation and Language · Computer Science 2026-02-11 Taewoong Yoon , Geunyeong Jeong , Geon Park , Sihyeong Yeom , Harksoo Kim

An algorithm for computing the stable model semantics of logic programs is developed. It is shown that one can extend the semantics and the algorithm to handle new and more expressive types of rules. Emphasis is placed on the use of…

Logic in Computer Science · Computer Science 2007-05-23 Patrik Simons

We achieved a new milestone in the difficult task of enabling agents to learn about their environment autonomously. Our neuro-symbolic architecture is trained end-to-end to produce a succinct and effective discrete state transition model…

Artificial Intelligence · Computer Science 2020-08-13 Masataro Asai , Christian Muise
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