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We present a new abstract interpretation framework for the precise over-approximation of numerical fixpoint iterators. Our key observation is that unlike in standard abstract interpretation (AI), typically used to over-approximate all…

Machine Learning · Computer Science 2023-04-27 Mark Niklas Müller , Marc Fischer , Robin Staab , Martin Vechev

This paper presents the syntax and reduction rules for an abstract machine based on the JavaScript XML language. We incorporate the notion of cost into our reduction rules, and create a type system that over-approximate this cost. This…

Code summarization aims to generate concise natural language descriptions for source code. The prevailing approaches adopt transformer-based encoder-decoder architectures, where the Abstract Syntax Tree (AST) of the source code is utilized…

Computation and Language · Computer Science 2023-08-11 Yeshwanth Nagaraj , Ujjwal Gupta

This paper presents a novel set of algorithms for heap abstraction, identifying logically related regions of the heap. The targeted regions include objects that are part of the same component structure (recursive data structure). The result…

Logic in Computer Science · Computer Science 2012-12-21 Mohamed A. El-Zawawy

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 lays a practical foundation for using abstract interpretation with an abstract domain that consists of sets of quantified first-order logic formulas. This abstract domain seems infeasible at first sight due to the complexity of…

Logic in Computer Science · Computer Science 2024-08-20 Eden Frenkel , Tej Chajed , Oded Padon , Sharon Shoham

Binary code analysis allows analyzing binary code without having access to the corresponding source code. A binary, after disassembly, is expressed in an assembly language. This inspires us to approach binary analysis by leveraging ideas…

Software Engineering · Computer Science 2018-12-18 Fei Zuo , Xiaopeng Li , Patrick Young , Lannan Luo , Qiang Zeng , Zhexin Zhang

Maintaining the pair similarity relationship among originally high-dimensional data into a low-dimensional binary space is a popular strategy to learn binary codes. One simiple and intutive method is to utilize two identical code matrices…

Information Retrieval · Computer Science 2018-11-28 Xiaoshuang Shi , Fuyong Xing , Zizhao Zhang , Manish Sapkota , Zhenhua Guo , Lin Yang

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

We give new proofs of asymptotic upper bounds of coding theory obtained within the frame of Delsarte's linear programming method. The proofs rely on the analysis of eigenvectors of some finite-dimensional operators related to orthogonal…

Information Theory · Computer Science 2019-05-14 Alexander Barg , Dmitry Nogin

Automated synthesis of reactive control protocols from temporal logic specifications has recently attracted considerable attention in various applications in, for example, robotic motion planning, network management, and hardware design. An…

Systems and Control · Computer Science 2014-05-20 Jie Fu , Rayna Dimitrova , Ufuk Topcu

Neural abstractions have been recently introduced as formal approximations of complex, nonlinear dynamical models. They comprise a neural ODE and a certified upper bound on the error between the abstract neural network and the concrete…

Logic in Computer Science · Computer Science 2023-10-03 Alec Edwards , Mirco Giacobbe , Alessandro Abate

Sparse coding is a crucial subroutine in algorithms for various signal processing, deep learning, and other machine learning applications. The central goal is to learn an overcomplete dictionary that can sparsely represent a given input…

Machine Learning · Statistics 2017-12-14 Thanh V. Nguyen , Raymond K. W. Wong , Chinmay Hegde

Recent work by Hermanns et al. and Kattenbelt et al. has extended counterexample-guided abstraction refinement (CEGAR) to probabilistic programs. These approaches are limited to predicate abstraction. We present a novel technique, based on…

Logic in Computer Science · Computer Science 2011-06-17 Javier Esparza , Andreas Gaiser

Persistence diagrams have been widely used to quantify the underlying features of filtered topological spaces in data visualization. In many applications, computing distances between diagrams is essential; however, computing these distances…

Computational Geometry · Computer Science 2021-08-12 Yu Qin , Brittany Terese Fasy , Carola Wenk , Brian Summa

Whether explicit or implicit, sets are a critical part of many pieces of software. As a result, it is necessary to develop abstractions of sets for the purposes of abstract interpretation, model checking, and deductive verification.…

Logic in Computer Science · Computer Science 2015-03-06 Arlen Cox

We consider the problem of automatically synthesizing a hybrid controller for non-linear dynamical systems which ensures that the closed-loop fulfills an arbitrary \emph{Linear Temporal Logic} specification. Moreover, the specification may…

Systems and Control · Electrical Eng. & Systems 2024-01-22 Satya Prakash Nayak , Lucas Neves Egidio , Matteo Della Rossa , Anne-Kathrin Schmuck , Raphaël Jungers

Learning compact binary codes for image retrieval task using deep neural networks has attracted increasing attention recently. However, training deep hashing networks for the task is challenging due to the binary constraints on the hash…

Computer Vision and Pattern Recognition · Computer Science 2018-12-19 Thanh-Toan Do , Tuan Hoang , Dang-Khoa Le Tan , Trung Pham , Huu Le , Ngai-Man Cheung , Ian Reid

In the quest for efficient and robust reinforcement learning methods, both model-free and model-based approaches offer advantages. In this paper we propose a new way of explicitly bridging both approaches via a shared low-dimensional…

Machine Learning · Computer Science 2018-11-20 Vincent François-Lavet , Yoshua Bengio , Doina Precup , Joelle Pineau

In supervised binary hashing, one wants to learn a function that maps a high-dimensional feature vector to a vector of binary codes, for application to fast image retrieval. This typically results in a difficult optimization problem,…

Machine Learning · Computer Science 2016-02-08 Ramin Raziperchikolaei , Miguel Á. Carreira-Perpiñán
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