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In this work, we study the discrete logarithm problem in the context of TFNP - the complexity class of search problems with a syntactically guaranteed existence of a solution for all instances. Our main results establish that suitable…

Computational Complexity · Computer Science 2021-09-07 Pavel Hubáček , Jan Václavek

While deep learning models have shown remarkable performance in various tasks, they are susceptible to learning non-generalizable spurious features rather than the core features that are genuinely correlated to the true label. In this…

Machine Learning · Computer Science 2023-10-31 Yihe Deng , Yu Yang , Baharan Mirzasoleiman , Quanquan Gu

Module Learning with Errors (M-LWE) based key reconciliation mechanisms (KRM) can be viewed as quantizing an M-LWE sample according to a lattice codebook. This paper describes a generic M-LWE-based KRM framework, valid for any dimensional…

Information Theory · Computer Science 2024-01-30 Shuiyin Liu , Amin Sakzad

At ITW'10, Bringer et al. suggest to strengthen their previous identification protocol by extending the Code Reverse Engineering (CRE) problem to identification codes. We first extend security results by Tillich et al. on this very problem.…

Cryptography and Security · Computer Science 2015-03-19 Julien Bringer , Hervé Chabanne

Code Large Language Models (CLLMs) serve as the core of modern code agents, enabling developers to automate complex software development tasks. In this paper, we present Poison-with-Style (PwS), a practical and stealthy model poisoning…

Cryptography and Security · Computer Science 2026-05-28 Khang Tran , Yazan Boshmaf , Issa Khalil , NhatHai Phan , Ting Yu , Md Rizwan Parvez

This paper examines the problem of learning with a finite and possibly large set of p base kernels. It presents a theoretical and empirical analysis of an approach addressing this problem based on ensembles of kernel predictors. This…

Machine Learning · Computer Science 2012-02-20 Corinna Cortes , Mehryar Mohri , Afshin Rostamizadeh

During pretraining, LLMs inadvertently memorize sensitive or copyrighted data, posing significant compliance challenges under legal frameworks like the GDPR and the EU AI Act. Fulfilling these mandates demands techniques that can remove…

Machine Learning · Computer Science 2026-03-23 Efstratios Zaradoukas , Bardh Prenkaj , Gjergji Kasneci

For the dramatic increase of Android malware and low efficiency of manual check process, deep learning methods started to be an auxiliary means for Android malware detection these years. However, these models are highly dependent on the…

Cryptography and Security · Computer Science 2019-09-10 Ji Wang , Qi Jing , Jianbo Gao

We present a regression technique for data-driven problems based on polynomial chaos expansion (PCE). PCE is a popular technique in the field of uncertainty quantification (UQ), where it is typically used to replace a runnable but expensive…

Machine Learning · Statistics 2019-04-02 E. Torre , S. Marelli , P. Embrechts , B. Sudret

Lattice based encryption schemes and linear code based encryption schemes have received extensive attention in recent years since they have been considered as post-quantum candidate encryption schemes. Though LLL reduction algorithm has…

Cryptography and Security · Computer Science 2015-12-29 Yongge Wang

Surrogate modelling techniques have opened up new possibilities to overcome the limitations of computationally intensive numerical models in various areas of engineering and science. However, while fundamental in many engineering…

Numerical Analysis · Mathematics 2024-02-20 José Calos García-Marino , Carmen Calvo-Jurado , Enrique García-Macías

Despite our best efforts, deep learning models remain highly vulnerable to even tiny adversarial perturbations applied to the inputs. The ability to extract information from solely the output of a machine learning model to craft adversarial…

Machine Learning · Computer Science 2023-03-27 Viet Quoc Vo , Ehsan Abbasnejad , Damith C. Ranasinghe

Large Language Models (LLMs) have exhibited strong mathematical reasoning prowess, tackling tasks ranging from basic arithmetic to advanced competition-level problems. However, frequently occurring subtle yet critical errors, such as…

Computation and Language · Computer Science 2025-05-28 Kaishuai Xu , Tiezheng Yu , Wenjun Hou , Yi Cheng , Chak Tou Leong , Liangyou Li , Xin Jiang , Lifeng Shang , Qun Liu , Wenjie Li

As a privacy-preserving method for implementing Vertical Federated Learning, Split Learning has been extensively researched. However, numerous studies have indicated that the privacy-preserving capability of Split Learning is insufficient.…

Machine Learning · Computer Science 2023-08-21 Haoze Qiu , Fei Zheng , Chaochao Chen , Xiaolin Zheng

Homomorphic Encryption (HE) allows secure and privacy-protected computation on encrypted data without the need to decrypt it. Since Shor's algorithm rendered prime factorisation and discrete logarithm-based ciphers insecure with quantum…

Cryptography and Security · Computer Science 2025-04-24 Siddhartha Siddhiprada Bhoi , Arathi Arakala , Amy Beth Corman , Asha Rao

Currently, due to the high scalability and global coverage of space information network (SIN), more service providers and users are willing to provide or subscribe to personal services through the satellite network. However, the messages…

Cryptography and Security · Computer Science 2022-08-02 Junyan Guo , Ye Du , Xuesong Wu , Meihong Li , Runfang Wu , Zhichao Sun

As AI-generated images become widespread, reliable watermarking is essential for content verification, copyright enforcement, and combating disinformation. Existing techniques rely on heuristic approaches and lack formal guarantees of…

Cryptography and Security · Computer Science 2025-09-01 Kareem Shehata , Aashish Kolluri , Prateek Saxena

We study binary classification in the setting where the learner is presented with multiple corrupted training samples, with possibly different sample sizes and degrees of corruption, and introduce an approach based on minimizing a weighted…

Machine Learning · Statistics 2019-10-11 Clayton Scott , Jianxin Zhang

Random classical codes have good error correcting properties, and yet they are notoriously hard to decode in practice. Despite many decades of extensive study, the fastest known algorithms still run in exponential time. The Learning Parity…

Quantum Physics · Physics 2025-04-16 Alexander Poremba , Yihui Quek , Peter Shor

We introduce learning to condition (L2C), a scalable, data-driven framework for accelerating Most Probable Explanation (MPE) inference in Probabilistic Graphical Models (PGMs), a fundamentally intractable problem. L2C trains a neural…

Machine Learning · Computer Science 2025-10-01 Brij Malhotra , Shivvrat Arya , Tahrima Rahman , Vibhav Giridhar Gogate