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This paper proposes a novel, abstraction-based, certified training method for robust image classifiers. Via abstraction, all perturbed images are mapped into intervals before feeding into neural networks for training. By training on…

Computer Vision and Pattern Recognition · Computer Science 2023-03-22 Zhaodi Zhang , Zhiyi Xue , Yang Chen , Si Liu , Yueling Zhang , Jing Liu , Min Zhang

Lifting methods allow to transform hard variational problems such as segmentation and optical flow estimation into convex problems in a suitable higher-dimensional space. The lifted models can then be efficiently solved to a global optimum,…

Numerical Analysis · Mathematics 2019-08-13 Thomas Vogt , Evgeny Strekalovskiy , Daniel Cremers , Jan Lellmann

Standard abstract model checking relies on abstract Kripke structures which approximate concrete models by gluing together indistinguishable states, namely by a partition of the concrete state space. Strong preservation for a specification…

Logic in Computer Science · Computer Science 2007-05-23 Francesco Ranzato , Francesco Tapparo

We analyze variational inference for highly symmetric graphical models such as those arising from first-order probabilistic models. We first show that for these graphical models, the tree-reweighted variational objective lends itself to a…

Artificial Intelligence · Computer Science 2014-06-23 Hung Hai Bui , Tuyen N. Huynh , David Sontag

Monotonic abstraction is a technique introduced in model checking parameterized distributed systems in order to cope with transitions containing global conditions within guards. The technique has been re-interpreted in a declarative setting…

Logic in Computer Science · Computer Science 2014-11-17 Francesco Alberti , Silvio Ghilardi , Natasha Sharygina

We present a technique for automatically extracting mutual exclusion invariants from temporal planning instances. It first identifies a set of invariant templates by inspecting the lifted representation of the domain and then checks these…

Artificial Intelligence · Computer Science 2017-02-08 Sara Bernardini , Fabio Fagnani , David E. Smith

Robustness analyzes the impact of small perturbations in the semantics of a model. This allows to model hardware imprecision and therefore it has been applied to determine implementability of timed automata. In a recent paper, we extend…

Software Engineering · Computer Science 2012-07-19 Louis-Marie Traonouez

Compute scaling for LLM reasoning requires allocating budget between exploring solution approaches ($breadth$) and refining promising solutions ($depth$). Most methods implicitly trade off one for the other, yet why a given trade-off works…

Model-based mutation testing uses altered test models to derive test cases that are able to reveal whether a modelled fault has been implemented. This requires conformance checking between the original and the mutated model. This paper…

Software Engineering · Computer Science 2012-02-29 Bernhard K. Aichernig , Elisabeth Jöbstl

Information abstraction reduces the computational cost of solving imperfect-information games by clustering information sets into a smaller number of \emph{buckets}. Existing methods either rely on domain-specific features such as rank or…

Computer Science and Game Theory · Computer Science 2026-05-12 Boning Li , Longbo Huang

Deductive verification of concurrent programs under weak memory has thus far been limited to simple programs over a monolithic state space. For scalability, we also require modular techniques with verifiable library abstractions. This paper…

Logic in Computer Science · Computer Science 2021-08-21 Sadegh Dalvandi , Brijesh Dongol

Verification of software systems is a very hard problem due to the large size of program state-space. The traditional techniques (like model checking) do not scale; since they include the whole state-space by inlining the library function…

Logic in Computer Science · Computer Science 2010-05-03 Pritam Roy

We show that the model-checking problem is decidable for a fragment of the epistemic \mu-calculus. The fragment allows free variables within the scope of epistemic modalities in a restricted form that avoids constructing formulas embodying…

Logic in Computer Science · Computer Science 2012-07-17 Rodica Bozianu , Cătălin Dima , Constantin Enea

We derive and present explicit algorithms to facilitate streamlined computing for variational inference for models containing higher level random effects. Existing literature, such as Lee and Wand (2016), is such that streamlined…

Computation · Statistics 2020-07-07 Tui H. Nolan , Marianne Menictas , Matt P. Wand

A variety of lifted inference algorithms, which exploit model symmetry to reduce computational cost, have been proposed to render inference tractable in probabilistic relational models. Most existing lifted inference algorithms operate only…

Machine Learning · Computer Science 2020-02-11 Yuqiao Chen , Yibo Yang , Sriraam Natarajan , Nicholas Ruozzi

We introduce skipping refinement, a new notion of correctness for reasoning about optimized reactive systems. Reasoning about reactive systems using refinement involves defining an abstract, high-level specification system and a concrete,…

Logic in Computer Science · Computer Science 2015-02-11 Mitesh Jain , Panagiotis Manolios

The Abstraction Refinement Model has been widely adopted since it was firstly proposed many decades ago. This powerful model of software evolution process brings important properties into the system under development, properties such as the…

Software Engineering · Computer Science 2022-10-28 Mohamed Toufik Ailane , Christoph Knieke , Andreas Rausch

This paper introduces the abstraction of max-plus linear (MPL) systems via predicates. Predicates are automatically selected from system matrix, as well as from the specifications under consideration. We focus on verifying time-difference…

Logic in Computer Science · Computer Science 2019-07-09 Muhammad Syifa'ul Mufid , Dieky Adzkiya , Alessandro Abate

Predicate abstraction provides a powerful tool for verifying properties of infinite-state systems using a combination of a decision procedure for a subset of first-order logic and symbolic methods originally developed for finite-state model…

Logic in Computer Science · Computer Science 2007-05-23 Shuvendu K. Lahiri , Randal E. Bryant

This paper presents an abstraction-refinement method to synthesize control inputs for a discrete-time piecewise linear system. The controlled system behavior satisfies a finite-word linear-time temporal objective while incurring minimal…

Optimization and Control · Mathematics 2017-09-07 Yoke Peng Leong , Pavithra Prabhakar