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We propose a novel perspective to understand deep neural networks in an interpretable disentanglement form. For each semantic class, we extract a class-specific functional subnetwork from the original full model, with compressed structure…

Machine Learning · Computer Science 2019-10-08 Yulong Wang , Xiaolin Hu , Hang Su

Probabilistic abstract interpretation is a theory used to extract particular properties of a computer program when it is infeasible to test every single inputs. In this paper we apply the theory on neural networks for the same purpose: to…

Artificial Intelligence · Computer Science 2026-03-27 Zhuofan Zhang , Herbert Wiklicky

Many abstract interpretation frameworks and analyses for Prolog have been proposed, which seek to extract information useful for program optimization. Although motivated by practical considerations, notably making Prolog competitive with…

Logic in Computer Science · Computer Science 2025-06-18 Baudouin Le Charlier , Sabina Rossi , Pascal Van Hentenryck

We extend abstract interpretation for the purpose of verifying hybrid systems. Abstraction has been playing an important role in many verification methodologies for hybrid systems, but some special care is needed for abstraction of…

Programming Languages · Computer Science 2015-11-04 Kengo Kido , Swarat Chaudhuri , Ichiro Hasuo

The inference and the verification of numerical relationships among variables of a program is one of the main goals of static analysis. In this paper, we propose an Abstract Interpretation framework based on higher-dimensional ellipsoids to…

Systems and Control · Computer Science 2015-09-30 Mendes Oulamara , Arnaud Venet

Value-based static analysis techniques express computed program invariants as logical formula over program variables. Researchers and practitioners use these invariants to aid in software engineering and verification tasks. When selecting…

Logic in Computer Science · Computer Science 2024-04-26 Kenny Ballou , Elena Sherman

It was previously shown that control-flow refinement can be achieved by a program specializer incorporating property-based abstraction, to improve termination and complexity analysis tools. We now show that this purpose-built specializer…

Programming Languages · Computer Science 2020-08-10 John P. Gallagher , Robert Glück

This paper presents a new numerical abstract domain for static analysis by abstract interpretation. This domain allows us to represent invariants of the form (x-y<=c) and (+/-x<=c), where x and y are variables values and c is an integer or…

Programming Languages · Computer Science 2016-08-14 Antoine Miné

In this paper we show that reversible analysis of logic languages by abstract interpretation can be performed without loss of precision by systematically refining abstract domains. The idea is to include semantic structures into abstract…

Programming Languages · Computer Science 2007-05-23 R. Giacobazzi , F. Ranzato , F. Scozzari

Abstract meaning representations (AMRs) are broad-coverage sentence-level semantic representations. AMRs represent sentences as rooted labeled directed acyclic graphs. AMR parsing is challenging partly due to the lack of annotated…

Computation and Language · Computer Science 2018-05-15 Chunchuan Lyu , Ivan Titov

We formalize the semantics of hybrid systems as sets of hybrid trajectories, including those generated by an hybrid transition system. We study the abstraction of hybrid trajectory semantics for verification, static analysis, and…

Logic in Computer Science · Computer Science 2022-09-30 Patrick Cousot

This article shows a correspondence between abstract interpretation of imperative programs and the refinement calculus: in the refinement calculus, an abstract interpretation of a program is a specification which is a function. This…

Programming Languages · Computer Science 2014-06-16 Arnaud Spiwack

In abstractions of linear dynamic networks, selected node signals are removed from the network, while keeping the remaining node signals invariant. The topology and link dynamics, or modules, of an abstracted network will generally be…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Harm H. M. Weerts , Jonas Linder , Martin Enqvist , Paul M. J. Van den Hof

Interprocedural analysis by means of partial tabulation of summary functions may not terminate when the same procedure is analyzed for infinitely many abstract calling contexts or when the abstract domain has infinite strictly ascending…

Programming Languages · Computer Science 2016-06-27 Stefan Schulze Frielinghaus , Helmut Seidl , Ralf Vogler

We introduce a new approach for abstractive text summarization, Topic-Guided Abstractive Summarization, which calibrates long-range dependencies from topic-level features with globally salient content. The idea is to incorporate neural…

Computation and Language · Computer Science 2021-08-31 Chujie Zheng , Kunpeng Zhang , Harry Jiannan Wang , Ling Fan , Zhe Wang

Interpretability is crucial for ensuring RL systems align with human values. However, it remains challenging to achieve in complex decision making domains. Existing methods frequently attempt interpretability at the level of fundamental…

Machine Learning · Computer Science 2025-06-03 Anna Soligo , Pietro Ferraro , David Boyle

Neural networks are becoming a popular tool for solving many real-world problems such as object recognition and machine translation, thanks to its exceptional performance as an end-to-end solution. However, neural networks are complex…

Machine Learning · Computer Science 2020-09-29 Guoliang Dong , Jingyi Wang , Jun Sun , Yang Zhang , Xinyu Wang , Ting Dai , Jin Song Dong , Xingen Wang

The expressive power of Graph Neural Networks (GNNs) is often analysed via correspondence to the Weisfeiler-Leman (WL) algorithm and fragments of first-order logic. Standard GNNs are limited to performing aggregation over immediate…

Machine Learning · Computer Science 2026-02-23 Huan Luo , Jonni Virtema

We propose a method for automatically generating abstract transformers for static analysis by abstract interpretation. The method focuses on linear constraints on programs operating on rational, real or floating-point variables and…

Programming Languages · Computer Science 2010-07-28 David Monniaux

The discovery of reusable sub-routines simplifies decision-making and planning in complex reinforcement learning problems. Previous approaches propose to learn such temporal abstractions in a purely unsupervised fashion through observing…

Machine Learning · Computer Science 2022-11-23 Anand Gopalakrishnan , Kazuki Irie , Jürgen Schmidhuber , Sjoerd van Steenkiste