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We study Sparse Multiple Kernel Learning (SMKL), which is the problem of selecting a sparse convex combination of prespecified kernels for support vector binary classification. Unlike prevailing l1 regularized approaches that approximate a…

Machine Learning · Statistics 2025-12-03 Dimitris Bertsimas , Caio de Prospero Iglesias , Nicholas A. G. Johnson

We initiate a systematic study of pseudo-deterministic quantum algorithms. These are quantum algorithms that, for any input, output a canonical solution with high probability. Focusing on the query complexity model, our main contributions…

Quantum Physics · Physics 2026-02-20 Hugo Aaronson , Tom Gur , Jiawei Li

Sieving using near-neighbor search techniques is a well-known method in lattice-based cryptanalysis, yielding the current best runtime for the shortest vector problem in both the classical [BDGL16] and quantum [BCSS23] setting. Recently,…

Quantum Physics · Physics 2024-12-25 Lynn Engelberts , Simona Etinski , Johanna Loyer

The recently introduced Quantum Lego framework provides a powerful method for generating complex quantum error correcting codes (QECCs) out of simple ones. We gamify this process and unlock a new avenue for code design and discovery using…

Quantum Physics · Physics 2025-06-02 Vincent Paul Su , ChunJun Cao , Hong-Ye Hu , Yariv Yanay , Charles Tahan , Brian Swingle

In this paper, we prove that the supersingular isogeny problem (Isogeny), endomorphism ring problem (EndRing) and maximal order problem (MaxOrder) are equivalent under probabilistic polynomial time reductions, unconditionally. Isogeny-based…

Cryptography and Security · Computer Science 2026-02-03 Arthur Herlédan Le Merdy , Benjamin Wesolowski

In this paper we consider the problem of testing whether two finite groups are isomorphic. Whereas the case where both groups are abelian is well understood and can be solved efficiently, very little is known about the complexity of…

Quantum Physics · Physics 2021-10-05 François Le Gall

Quantum computing offers a potential for algorithmic speedups for applications, such as large-scale simulations in chemistry and physics. However, these speedups must yield results that are sufficiently accurate to predict realistic…

Quantum Physics · Physics 2025-01-15 Meenambika Gowrishankar , Daniel Claudino , Jerimiah Wright , Travis Humble

RLWE-based Fully Homomorphic Encryption (FHE) schemes add some small \emph{noise} to the message during encryption. The noise accumulates with each homomorphic operation. When the noise exceeds a critical value, the FHE circuit produces an…

Cryptography and Security · Computer Science 2025-09-16 Tarakaram Gollamudi , Anitha Gollamudi , Joshua Gancher

Evaluating large language models (LLMs) for software engineering has been limited by narrow task coverage, language bias, and insufficient alignment with real-world developer workflows. Existing benchmarks often focus on algorithmic…

The Information Systems (IS) and Software Engineering (SE) fields share a remarkable number of similarities in their historical evolution to date. These similarities are briefly outlined below. An analysis of 10 years (2001-2010) of…

Software Engineering · Computer Science 2024-02-07 Brian Fitzgerald

Quantum noise is conventionally viewed as a fundamental obstacle in near-term quantum computing, motivating extensive error correction and mitigation strategies. We present numerical evidence that challenges this consensus. Through…

Quantum Physics · Physics 2026-01-21 Linghua Zhu , Yulong Dong , Ziyu Zhang , Xiaosong Li

Modern hardware designs have grown increasingly efficient and complex. However, they are often susceptible to Common Weakness Enumerations (CWEs). This paper is focused on the formal verification of CWEs in a dataset of hardware designs…

Artificial Intelligence · Computer Science 2024-09-04 Deepak Narayan Gadde , Aman Kumar , Thomas Nalapat , Evgenii Rezunov , Fabio Cappellini

Suppose an oracle knows a string $S$ that is unknown to us and that we want to determine. The oracle can answer queries of the form "Is $s$ a substring of $S$?". In 1995, Skiena and Sundaram showed that, in the worst case, any algorithm…

Data Structures and Algorithms · Computer Science 2021-10-20 Gabriele Fici , Nicola Prezza , Rossano Venturini

Transversality is a simple and effective method for implementing quantum computation fault-tolerantly. However, no quantum error-correcting code (QECC) can transversally implement a quantum universal gate set (Eastin and Knill, Phys. Rev.…

Quantum Physics · Physics 2018-09-10 Michael Newman , Yaoyun Shi

Ashtiani et al. (NIPS 2016) introduced a semi-supervised framework for clustering (SSAC) where a learner is allowed to make same-cluster queries. More specifically, in their model, there is a query oracle that answers queries of the form…

Data Structures and Algorithms · Computer Science 2017-12-20 Nir Ailon , Anup Bhattacharya , Ragesh Jaiswal

Supervised classification has a theoretical optimum, Neural Collapse (NC), yet neither of its two dominant paradigms reaches it in practice. Cross entropy (CE) leaves radial degrees of freedom unconstrained and converges to a degenerate…

Machine Learning · Computer Science 2026-05-22 Panagiotis Koromilas , Theodoros Giannakopoulos , Mihalis A. Nicolaou , Yannis Panagakis

We study the problem of streamlining reverse engineering (RE) of binary programs from unknown instruction set architectures (ISA). We focus on two fundamental ISA characteristics to beginning the RE process: identification of endianness and…

Cryptography and Security · Computer Science 2024-10-30 Joachim Andreassen , Donn Morrison

Suppose we want to implement a unitary $U$, for instance a circuit for some quantum algorithm. Suppose our actual implementation is a unitary $\tilde{U}$, which we can only apply as a black-box. In general it is an exponentially-hard task…

Quantum Physics · Physics 2021-04-21 Noah Linden , Ronald de Wolf

Whilst lattice-based cryptosystems are believed to be resistant to quantum attack, they are often forced to pay for that security with inefficiencies in implementation. This problem is overcome by ring- and module-based schemes such as…

Cryptography and Security · Computer Science 2022-06-10 Christian Porter , Andrew Mendelsohn , Cong Ling

Large Language Models (LLMs) are susceptible to security and safety threats, such as prompt injection, prompt extraction, and harmful requests. One major cause of these vulnerabilities is the lack of an instruction hierarchy. Modern LLM…

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