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One intriguing property of deep neural networks (DNNs) is their inherent vulnerability to backdoor attacks -- a trojan model responds to trigger-embedded inputs in a highly predictable manner while functioning normally otherwise. Despite…

Machine Learning · Computer Science 2021-08-11 Zhaohan Xi , Ren Pang , Shouling Ji , Ting Wang

Backtracking search is a powerful algorithmic paradigm that can be used to solve many problems. It is in a certain sense the dual of variable elimination; but on many problems, e.g., SAT, it is vastly superior to variable elimination in…

Artificial Intelligence · Computer Science 2012-12-12 Fahiem Bacchus , Shannon Dalmao , Toniann Pitassi

In sphere of research of discrete optimization algorithms efficiency the important place occupies a method of polynomial reducibility of some problems to others with use of special purpose components. In this paper a novel method of compact…

Data Structures and Algorithms · Computer Science 2013-09-25 V. F. Romanov

Most existing methods to detect backdoored machine learning (ML) models take one of the two approaches: trigger inversion (aka. reverse engineer) and weight analysis (aka. model diagnosis). In particular, the gradient-based trigger…

Cryptography and Security · Computer Science 2024-07-23 Rui Zhu , Di Tang , Siyuan Tang , Guanhong Tao , Shiqing Ma , Xiaofeng Wang , Haixu Tang

Backdoor attacks pose a critical threat to machine learning models, causing them to behave normally on clean data but misclassify poisoned data into a poisoned class. Existing defenses often attempt to identify and remove backdoor neurons…

Machine Learning · Computer Science 2025-11-13 Kazuki Iwahana , Yusuke Yamasaki , Akira Ito , Takayuki Miura , Toshiki Shibahara

In 2007 it was conjectured that the Constraint Satisfaction Problem (CSP) over a constraint language $\Gamma$ is tractable if and only if $\Gamma$ is preserved by a weak near-unanimity (WNU) operation. After many efforts and partial…

Computational Complexity · Computer Science 2020-05-05 Dmitriy Zhuk

We show that there is a randomized algorithm that, when given a small constant-depth Boolean circuit $C$ made up of gates that compute constant-degree Polynomial Threshold functions or PTFs (i.e., Boolean functions that compute signs of…

Computational Complexity · Computer Science 2018-09-18 Swapnam Bajpai , Vaibhav Krishan , Deepanshu Kush , Nutan Limaye , Srikanth Srinivasan

Deep neural networks (DNNs) are vulnerable to backdoor attacks. The backdoor adversaries intend to maliciously control the predictions of attacked DNNs by injecting hidden backdoors that can be activated by adversary-specified trigger…

Cryptography and Security · Computer Science 2023-03-07 Tong Xu , Yiming Li , Yong Jiang , Shu-Tao Xia

With the trend of large graph learning models, business owners tend to employ a model provided by a third party to deliver business services to users. However, these models might be backdoored, and malicious users can submit…

Machine Learning · Computer Science 2025-07-15 Xiao Yang , Kai Zhou , Yuni Lai , Gaolei Li

We consider the SUBSET SUM problem and its important variants in this paper. In the SUBSET SUM problem, a (multi-)set $X$ of $n$ positive numbers and a target number $t$ are given, and the task is to find a subset of $X$ with the maximal…

Data Structures and Algorithms · Computer Science 2022-12-07 Xiaoyu Wu , Lin Chen

Inserting a backdoor into the joint model in federated learning (FL) is a recent threat raising concerns. Existing studies mostly focus on developing effective countermeasures against this threat, assuming that backdoored local models, if…

Machine Learning · Computer Science 2021-11-30 Zeki Bilgin

We study the Boolean Satisfiability problem (SAT) in the framework of diversity, where one asks for multiple solutions that are mutually far apart (i.e., sufficiently dissimilar from each other) for a suitable notion of…

Data Structures and Algorithms · Computer Science 2024-12-16 Neeldhara Misra , Harshil Mittal , Ashutosh Rai

Neural code models have been increasingly incorporated into software development processes. However, their susceptibility to backdoor attacks presents a significant security risk. The state-of-the-art understanding focuses on…

Software Engineering · Computer Science 2025-12-23 Junyao Ye , Zhen Li , Xi Tang , Shouhuai Xu , Deqing Zou , Zhongsheng Yuan

Most post-training backdoor detection methods rely on attacked models exhibiting extreme outlier detection statistics for the target class of an attack, compared to non-target classes. However, these approaches may fail: (1) when some…

Machine Learning · Computer Science 2025-12-10 Guangmingmei Yang , David J. Miller , George Kesidis

The success of deep neural networks (DNNs) in real-world applications has benefited from abundant pre-trained models. However, the backdoored pre-trained models can pose a significant trojan threat to the deployment of downstream DNNs.…

Cryptography and Security · Computer Science 2024-07-18 Haibo Jin , Ruoxi Chen , Jinyin Chen , Haibin Zheng , Yang Zhang , Haohan Wang

Knowledge Compilation (KC) studies compilation of boolean functions f into some formalism F, which allows to answer all queries of a certain kind in polynomial time. Due to its relevance for SAT solving, we concentrate on the query type…

Computational Complexity · Computer Science 2013-11-11 Matthew Gwynne , Oliver Kullmann

Recent studies have revealed the vulnerability of deep neural networks (DNNs) to various backdoor attacks, where the behavior of DNNs can be compromised by utilizing certain types of triggers or poisoning mechanisms. State-of-the-art (SOTA)…

Computer Vision and Pattern Recognition · Computer Science 2024-07-18 Nazmul Karim , Abdullah Al Arafat , Umar Khalid , Zhishan Guo , Nazanin Rahnavard

In Verification and in (optimal) AI Planning, a successful method is to formulate the application as boolean satisfiability (SAT), and solve it with state-of-the-art DPLL-based procedures. There is a lack of understanding of why this works…

Artificial Intelligence · Computer Science 2017-01-11 Joerg Hoffmann , Carla Gomes , Bart Selman

Multiple hypothesis testing problems arise naturally in science. In this paper, we introduce the new Fast Closed Testing (FACT) method for multiple testing, controlling the family-wise error rate. This error rate is state of the art in many…

Methodology · Statistics 2020-01-22 Edgar Dobriban

Robust control barrier functions (CBFs) provide a principled mechanism for smooth safety enforcement under worst-case disturbances. However, existing approaches typically rely on explicit, closed-form structure in the dynamics (e.g.,…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Donggeon David Oh , Duy P. Nguyen , Haimin Hu , Jaime Fernández Fisac
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