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Related papers: Formally Certified Approximate Model Counting

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Given that machine learning algorithms are increasingly being deployed to aid in high stakes decision-making, uncertainty quantification methods that wrap around these black box models such as conformal prediction have received much…

Machine Learning · Statistics 2026-02-09 Kayla E. Scharfstein , Arun Kumar Kuchibhotla

Goldwasser et al. (2021) recently proposed the setting of PAC verification, where a hypothesis (machine learning model) that purportedly satisfies the agnostic PAC learning objective is verified using an interactive proof. In this paper we…

Machine Learning · Statistics 2023-09-06 Saachi Mutreja , Jonathan Shafer

A key task in the context of consistent query answering is to count the number of repairs that entail the query, with the ultimate goal being a precise data complexity classification. This has been achieved in the case of primary keys and…

Databases · Computer Science 2024-04-10 Marco Calautti , Ester Livshits , Andreas Pieris , Markus Schneider

We describe how to use propositional model counting for a quantitative analysis of product configuration data. Our approach computes valuable meta information such as the total number of valid configurations or the relative frequency of…

Artificial Intelligence · Computer Science 2010-07-08 Andreas Kübler , Christoph Zengler , Wolfgang Küchlin

Approximate Bayesian computation is a statistical framework that uses numerical simulations to calibrate and compare models. Instead of computing likelihood functions, Approximate Bayesian computation relies on numerical simulations, which…

Methodology · Statistics 2016-01-19 Louisiane Lemaire , Flora Jay , I-Hung Lee , Katalin Csilléry , Michael G. B. Blum

Machine learning models are increasingly deployed for critical decision-making tasks, making it important to verify that they do not contain gender or racial biases picked up from training data. Typical approaches to achieve fairness…

Machine Learning · Computer Science 2022-12-19 Giorgian Borca-Tasciuc , Xingzhi Guo , Stanley Bak , Steven Skiena

Software Model Checkers have shown outstanding performance improvements in recent times. Moreover, for specific use cases, formal verification techniques have shown to be highly effective, leading to a number of high-profile success…

Software Engineering · Computer Science 2017-06-14 Rodrigo Castaño , Victor Braberman , Diego Garbervetsky , Sebastian Uchitel

Reachability computations that rely on learned or estimated models require calibration in order to uphold confidence about their guarantees. Calibration generally involves sampling scenarios inside the reachable set. However, producing…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Sampada Deglurkar , Ebonye Smith , Jingqi Li , Claire J. Tomlin

Topic models provide a useful method for dimensionality reduction and exploratory data analysis in large text corpora. Most approaches to topic model inference have been based on a maximum likelihood objective. Efficient algorithms exist…

Machine Learning · Computer Science 2012-12-20 Sanjeev Arora , Rong Ge , Yoni Halpern , David Mimno , Ankur Moitra , David Sontag , Yichen Wu , Michael Zhu

Approximate Bayesian Computation (ABC) enables statistical inference in simulator-based models whose likelihoods are difficult to calculate but easy to simulate from. ABC constructs a kernel-type approximation to the posterior distribution…

Methodology · Statistics 2022-12-02 Yuexi Wang , Tetsuya Kaji , Veronika Ročková

A method for the multifidelity Monte Carlo (MFMC) estimation of statistical quantities is proposed which is applicable to computational budgets of any size. Based on a sequence of optimization problems each with a globally minimizing…

Numerical Analysis · Mathematics 2022-11-15 Anthony Gruber , Max Gunzburger , Lili Ju , Zhu Wang

We introduce a machine learning approach to model checking temporal logic, with application to formal hardware verification. Model checking answers the question of whether every execution of a given system satisfies a desired temporal logic…

Logic in Computer Science · Computer Science 2024-11-01 Mirco Giacobbe , Daniel Kroening , Abhinandan Pal , Michael Tautschnig

In the digital age, ensuring the correctness, safety, and reliability of software through formal verification is paramount, particularly as software increasingly underpins critical infrastructure. Formal verification, split into theorem…

Software Engineering · Computer Science 2026-04-03 Zhiyong Chen , Jialun Cao , Jiarong Wu , Chang Xu , Shing-Chi Cheung

As state-of-the-art neural networks are deployed on reasoning and algorithmic tasks, exactness guarantees become increasingly important. However, high average-case accuracy can still mask inconsistent behaviors. This motivates exact…

Machine Learning · Computer Science 2026-05-25 Artur Back de Luca , Kimon Fountoulakis

The study of phase transition phenomenon of NP complete problems plays an important role in understanding the nature of hard problems. In this paper, we follow this line of research by considering the problem of counting solutions of…

Artificial Intelligence · Computer Science 2011-02-25 Minghao Yin , Ping Huang

In this paper, we present VerifyML, the first secure inference framework to check the fairness degree of a given Machine learning (ML) model. VerifyML is generic and is immune to any obstruction by the malicious model holder during the…

Cryptography and Security · Computer Science 2022-10-18 Guowen Xu , Xingshuo Han , Gelei Deng , Tianwei Zhang , Shengmin Xu , Jianting Ning , Anjia Yang , Hongwei Li

Given a CNF formula $\varphi$ with clauses $C_1, \dots, C_m$ over a set of variables $V$, a truth assignment $\mathbf{a} : V \to \{0, 1\}$ generates a binary sequence $\sigma_\varphi(\mathbf{a})=(C_1(\mathbf{a}), \ldots, C_m(\mathbf{a}))$,…

Data Structures and Algorithms · Computer Science 2025-08-05 Nadia Creignou , Oscar Defrain , Frédéric Olive , Simon Vilmin

Comparison to traditionally accurate computing, approximate computing focuses on the rapidity of the satisfactory solution, but not the unnecessary accuracy of the solution. Approximate bisimularity is the approximate one corresponding to…

Logic in Computer Science · Computer Science 2015-12-01 Yong Wang

The seminal work of Dwork {\em et al.} [ITCS 2012] introduced a metric-based notion of individual fairness. Given a task-specific similarity metric, their notion required that every pair of similar individuals should be treated similarly.…

Machine Learning · Computer Science 2018-07-03 Guy N. Rothblum , Gal Yona

Complex phenomena in engineering and the sciences are often modeled with computationally intensive feed-forward simulations for which a tractable analytic likelihood does not exist. In these cases, it is sometimes necessary to estimate an…

Methodology · Statistics 2020-06-18 Niccolò Dalmasso , Ann B. Lee , Rafael Izbicki , Taylor Pospisil , Ilmun Kim , Chieh-An Lin