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Backdoor attack injects malicious behavior to models such that inputs embedded with triggers are misclassified to a target label desired by the attacker. However, natural features may behave like triggers, causing misclassification once…

Machine Learning · Computer Science 2021-03-18 Yingqi Liu , Guangyu Shen , Guanhong Tao , Zhenting Wang , Shiqing Ma , Xiangyu Zhang

We introduce the problem of finding a satisfying assignment to a CNF formula that must further belong to a prescribed input subspace. Equivalent formulations of the problem include finding a point outside a union of subspaces (the…

Data Structures and Algorithms · Computer Science 2021-08-16 Vikraman Arvind , Venkatesan Guruswami

We show that CSP is fixed-parameter tractable when parameterized by the treewidth of a backdoor into any tractable CSP problem over a finite constraint language. This result combines the two prominent approaches for achieving tractability…

Data Structures and Algorithms · Computer Science 2016-10-12 Robert Ganian , M. S. Ramanujan , Stefan Szeider

We extend the notion of a strong backdoor from the CSP setting to the Valued CSP setting (VCSP, for short). This provides a means for augmenting a class of tractable VCSP instances to instances that are outside the class but of small…

Data Structures and Algorithms · Computer Science 2016-12-20 Robert Ganian , M. S. Ramanujan , Stefan Szeider

The one of the most interesting problem of discrete mathematics is the SAT (satisfiability) problem. Good way in SAT solver developing is to transform the SAT problem to the problem of continuous search of global minimums of the functional…

Cryptography and Security · Computer Science 2009-07-13 R. T. Faizullin , I. G. Khnykin , V. I. Dylkeyt

Deep neural networks (DNN), despite their remarkable performance, are highly vulnerable to backdoor attacks. Existing defenses mainly rely on activation anomaly analysis or trigger reverse engineering and often require clean samples or…

Cryptography and Security · Computer Science 2026-05-20 Yinbo Yu , Jing Fang , Xuewen Zhang , Chunwei Tian , Qi Zhu , Daoqiang Zhang , Jiajia Liu

The Constraint Satisfaction Problem (CSP) is a central and generic computational problem which provides a common framework for many theoretical and practical applications. A central line of research is concerned with the identification of…

Data Structures and Algorithms · Computer Science 2015-07-21 Robert Ganian , M. S. Ramanujan , Stefan Szeider

Backdoors and backbones of Boolean formulas are hidden structural properties. A natural goal, already in part realized, is that solver algorithms seek to obtain substantially better performance by exploiting these structures. However, the…

Artificial Intelligence · Computer Science 2018-11-05 Lane A. Hemaspaandra , David E. Narváez

In recent years, with the successful application of DNN in fields such as NLP and CV, its security has also received widespread attention. (Author) proposed the method of backdoor attack in Badnet. Switch implanted backdoor into the model…

Cryptography and Security · Computer Science 2023-06-06 Han Gao

This paper proposes a new defense against neural network backdooring attacks that are maliciously trained to mispredict in the presence of attacker-chosen triggers. Our defense is based on the intuition that the feature extraction layers of…

Machine Learning · Computer Science 2023-02-24 Hao Fu , Akshaj Kumar Veldanda , Prashanth Krishnamurthy , Siddharth Garg , Farshad Khorrami

We extend the knowledge about so-called structural restrictions of $\mathrm{\#SAT}$ by giving a polynomial time algorithm for $\beta$-acyclic $\mathrm{\#SAT}$. In contrast to previous algorithms in the area, our algorithm does not proceed…

Computational Complexity · Computer Science 2014-05-26 Johann Brault-Baron , Florent Capelli , Stefan Mengel

Boolean Satisfiability Problem (SAT) is one of the core problems in computer science. As one of the fundamental NP-complete problems, it can be used - by known reductions - to represent instances of variety of hard decision problems.…

Data Structures and Algorithms · Computer Science 2019-11-05 Michał Karpiński

Backdoor attacks have become a critical threat to deep neural networks (DNNs), drawing many research interests. However, most of the studied attacks employ a single type of trigger. Consequently, proposed backdoor defenders often rely on…

Cryptography and Security · Computer Science 2025-01-14 Duc Anh Vu , Anh Tuan Tran , Cong Tran , Cuong Pham

Determining the validity of a quantified Boolean formula (QBF) is a PSPACE-complete problem with rich expressive power. Despite interest in efficient solvers, there is, compared to problems in NP, a lack of positive theoretical results, and…

Computational Complexity · Computer Science 2026-05-13 Leif Eriksson , Victor Lagerkvist , Sebastian Ordyniak , George Osipov , Fahad Panolan , Mateusz Rychlicki

In a backdoor attack, an adversary inserts maliciously constructed backdoor examples into a training set to make the resulting model vulnerable to manipulation. Defending against such attacks typically involves viewing these inserted…

Cryptography and Security · Computer Science 2023-07-20 Alaa Khaddaj , Guillaume Leclerc , Aleksandar Makelov , Kristian Georgiev , Hadi Salman , Andrew Ilyas , Aleksander Madry

We propose a new parameter called proofdoor in an attempt to explain the efficiency of CDCL SAT solvers over formulas derived from circuit (esp., arithmetic) verification applications. Informally, given an unsatisfiable CNF formula F over n…

Computational Complexity · Computer Science 2026-03-30 Sunidhi Singh , Vincent Liew , Marc Vinyals , Vijay Ganesh

Backdoor attack intends to embed hidden backdoor into deep neural networks (DNNs), so that the attacked models perform well on benign samples, whereas their predictions will be maliciously changed if the hidden backdoor is activated by…

Cryptography and Security · Computer Science 2022-02-17 Yiming Li , Yong Jiang , Zhifeng Li , Shu-Tao Xia

A heuristic model procedure for determining satisfiability of CNF-formulae is set up and described by nonlinear recursion relations for m (number of clauses), n (number of variables) and clause filling k. The system mimicked by the…

Computational Complexity · Computer Science 2014-11-12 Bernd R. Schuh

Deep Neural Networks (DNN) are becoming increasingly more important in assisted and automated driving. Using such entities which are obtained using machine learning is inevitable: tasks such as recognizing traffic signs cannot be developed…

Cryptography and Security · Computer Science 2024-10-11 Akshay Dhonthi , Ernst Moritz Hahn , Vahid Hashemi

Backdoor attack is a common threat to deep neural networks. During testing, samples embedded with a backdoor trigger will be misclassified as an adversarial target by a backdoored model, while samples without the backdoor trigger will be…

Machine Learning · Computer Science 2024-01-05 Zhen Xiang , Zidi Xiong , Bo Li