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Extensive research on formal verification of machine learning systems indicates that learning from data alone often fails to capture underlying background knowledge, such as specifications implicitly available in the data. Various neural…

Logic in Computer Science · Computer Science 2025-03-17 Thomas Flinkow , Barak A. Pearlmutter , Rosemary Monahan

The rising popularity of neural networks (NNs) in recent years and their increasing prevalence in real-world applications have drawn attention to the importance of their verification. While verification is known to be computationally…

Artificial Intelligence · Computer Science 2022-07-15 Natalia Slusarz , Ekaterina Komendantskaya , Matthew L. Daggitt , Robert Stewart

The increasing use of machine-learning (ML) enabled systems in critical tasks fuels the quest for novel verification and validation techniques yet grounded in accepted system assurance principles. In traditional system development,…

Machine Learning · Computer Science 2020-02-11 Taejoon Byun , Sanjai Rayadurgam

Automated decision making is used routinely throughout our everyday life. Recommender systems decide which jobs, movies, or other user profiles might be interesting to us. Spell checkers help us to make good use of language. Fraud detection…

Machine Learning · Computer Science 2020-07-15 Alexander Jung , Pedro H. J. Nardelli

While utilization of digital agents to support crucial decision making is increasing, trust in suggestions made by these agents is hard to achieve. However, it is essential to profit from their application, resulting in a need for…

Machine Learning · Computer Science 2022-04-21 Michael Heider , Helena Stegherr , Jonathan Wurth , Roman Sraj , Jörg Hähner

Neural networks are among the most accurate supervised learning methods in use today, but their opacity makes them difficult to trust in critical applications, especially when conditions in training differ from those in test. Recent work on…

Machine Learning · Computer Science 2017-11-15 Andrew Slavin Ross , Michael C. Hughes , Finale Doshi-Velez

Machine learning (ML) applications have automated numerous real-life tasks, improving both private and public life. However, the black-box nature of many state-of-the-art models poses the challenge of model verification; how can one be sure…

Machine Learning · Computer Science 2022-01-19 Ioannis Papantonis , Vaishak Belle

Machine learning (ML) methods are becoming increasingly important in the design economic scenario generators for internal models. Validation of data-driven models differs from classical theory-based models. We discuss two novel aspects of…

Risk Management · Quantitative Finance 2024-12-12 Gero Junike , Solveig Flaig , Ralf Werner

In recent years, there has been an increasing interest in exploiting logically specified background knowledge in order to obtain neural models (i) with a better performance, (ii) able to learn from less data, and/or (iii) guaranteed to be…

Artificial Intelligence · Computer Science 2023-06-21 Eleonora Giunchiglia , Mihaela Catalina Stoian , Thomas Lukasiewicz

Neural networks have been shown to frequently fail to learn critical safety and correctness properties purely from data, highlighting the need for training methods that directly integrate logical specifications. While adversarial training…

Machine Learning · Computer Science 2025-06-25 Thomas Flinkow , Marco Casadio , Colin Kessler , Rosemary Monahan , Ekaterina Komendantskaya

Neural networks are among the most accurate supervised learning methods in use today. However, their opacity makes them difficult to trust in critical applications, especially when conditions in training may differ from those in practice.…

Machine Learning · Computer Science 2018-10-03 Andrew Slavin Ross

Machine Learning (ML) algorithms are used to train computers to perform a variety of complex tasks and improve with experience. Computers learn how to recognize patterns, make unintended decisions, or react to a dynamic environment. Certain…

Cryptography and Security · Computer Science 2013-06-20 Giuseppe Ateniese , Giovanni Felici , Luigi V. Mancini , Angelo Spognardi , Antonio Villani , Domenico Vitali

Machine Learning (ML) is an expressive framework for turning data into computer programs. Across many problem domains -- both in industry and policy settings -- the types of computer programs needed for accurate prediction or optimal…

Machine Learning · Computer Science 2023-12-21 Elliot Creager

To provide safety guarantees for learning-based control systems, recent work has developed formal verification methods to apply after training ends. However, if the trained policy does not meet the specifications, or there is conservatism…

Systems and Control · Electrical Eng. & Systems 2025-04-24 Puja Chaudhury , Alexander Estornell , Michael Everett

This work presents a novel systematic methodology to analyse the capabilities and limitations of Large Language Models (LLMs) with feedback from a formal inference engine, on logic theory induction. The analysis is complexity-graded w.r.t.…

Computation and Language · Computer Science 2025-01-15 João Pedro Gandarela , Danilo S. Carvalho , André Freitas

As privacy concerns escalate in the realm of machine learning, data owners now have the option to utilize machine unlearning to remove their data from machine learning models, following recent legislation. To enhance transparency in machine…

Machine Learning · Computer Science 2026-04-23 Binchi Zhang , Zihan Chen , Cong Shen , Jundong Li

The increased reliance of self-driving vehicles on neural networks opens up the challenge of their verification. In this paper we present an experience report, describing a case study which we undertook to explore the design and training of…

Logic in Computer Science · Computer Science 2024-11-22 Syed Ali Asadullah Bukhari , Thomas Flinkow , Medet Inkarbekov , Barak A. Pearlmutter , Rosemary Monahan

Recent large language models (LLMs) achieve strong performance in generating promising reasoning paths for complex tasks. However, despite powerful generation ability, LLMs remain weak at verifying their own answers, revealing a persistent…

Computation and Language · Computer Science 2026-02-10 Yuxin Chen , Yu Wang , Yi Zhang , Ziang Ye , Zhengzhou Cai , Yaorui Shi , Qi Gu , Hui Su , Xunliang Cai , Xiang Wang , An Zhang , Tat-Seng Chua

Large language models (LLMs) have exhibited impressive capabilities across a myriad of tasks, yet they occasionally yield undesirable outputs. We posit that these limitations are rooted in the foundational autoregressive architecture of…

Computation and Language · Computer Science 2025-03-03 Cheng Yang , Chufan Shi , Siheng Li , Bo Shui , Yujiu Yang , Wai Lam

Large language models (LLMs) can act as both problem solvers and solution verifiers, where the latter select high-quality answers from a pool of solver-generated candidates. This raises the question of under what conditions verification…

Computation and Language · Computer Science 2026-04-22 Jack Lu , Ryan Teehan , Jinran Jin , Mengye Ren
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