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In this work, we prove new results concerning the combinatorial properties of random linear codes. Firstly, we prove a lower bound on the list-size required for random linear codes over $\mathbb F_q$ $\varepsilon$-close to capacity to…

Information Theory · Computer Science 2022-05-04 Nicolas Resch , Chen Yuan

Adaptive Rounding has emerged as an alternative to round-to-nearest (RTN) for post-training quantization by enabling cross-element error cancellation. Yet, dense and element-wise rounding matrices are prohibitively expensive for…

Machine Learning · Computer Science 2026-02-03 Yuli Zhou , Qingxuan Chen , Luca Benini , Guolei Sun , Yawei Li

Information reconciliation protocol has a significant effect on the secret key rate and maximal transmission distance of continuous-variable quantum key distribution (CV-QKD) systems. We propose an efficient rate-adaptive reconciliation…

Quantum Physics · Physics 2018-04-12 Xiangyu Wang , Yi-Chen Zhang , Zhengyu Li , Bingjie Xu , Song Yu , Hong Guo

Mixed discrete-continuous optimization is central to engineering design, where discrete choices interact with continuous fields. These problems are difficult due to high-dimensional, complex search spaces. To tackle them, Quantum Annealing…

Computational Engineering, Finance, and Science · Computer Science 2026-03-19 Fabian Key , Lukas Freinberger , Mayu Muramatsu , Norbert Hosters

The classical convergence analysis of quasi-Newton methods assumes that the function and gradients employed at each iteration are exact. In this paper, we consider the case when there are (bounded) errors in both computations and establish…

Optimization and Control · Mathematics 2019-01-29 Yuchen Xie , Richard Byrd , Jorge Nocedal

We propose the regularized compressed double factorization (RC-DF) method to classically compute compressed representations of molecular Hamiltonians that enable efficient simulation with noisy intermediate scale (NISQ) and error corrected…

Zero-shot evaluation of information retrieval (IR) models is often performed using BEIR; a large and heterogeneous benchmark composed of multiple datasets, covering different retrieval tasks across various domains. Although BEIR has become…

Computation and Language · Computer Science 2024-12-12 Nikolay Banar , Ehsan Lotfi , Walter Daelemans

Fault tolerant quantum error correction (QEC) networks are studied by a combination of numerical and approximate analytical treatments. The probability of failure of the recovery operation is calculated for a variety of CSS codes, including…

Quantum Physics · Physics 2009-11-07 Andrew M. Steane

Bounded-context agents fail when intermediate reasoning exceeds an effective working-memory budget. We study compressed query delegation (CQD): (i) compress a high-dimensional latent reasoning state into a low-rank tensor query, (ii)…

Computation and Language · Computer Science 2026-01-06 Faruk Alpay , Bugra Kilictas

Profiting from large-scale training datasets, advances in neural architecture design and efficient inference, joint embeddings have become the dominant approach for tackling cross-modal retrieval. In this work we first show that, despite…

Computer Vision and Pattern Recognition · Computer Science 2022-04-20 Simion-Vlad Bogolin , Ioana Croitoru , Hailin Jin , Yang Liu , Samuel Albanie

The work focuses on the modelling and imputation of oil and gas reservoirs parameters, specifically, the problem of predicting the oil recovery factor (RF) using Bayesian networks (BNs). Recovery forecasting is critical for the oil and gas…

A pruned variant of polar coding is proposed for binary erasure channels. For sufficiently small $\varepsilon>0$, we construct a series of capacity achieving codes with block length $N=\varepsilon^{-5}$, code rate…

Information Theory · Computer Science 2020-12-14 Hsin-Po Wang , Iwan Duursma

With the advancement of quantum computing, symmetric cryptography faces new challenges from quantum attacks. These attacks are typically classified into two models: Q1 (classical queries) and Q2 (quantum superposition queries). In this…

Quantum Physics · Physics 2025-08-04 Yan-Ying Zhu , Bin-Bin Cai , Fei Gao , Song Lin

Passage retrieval addresses the problem of locating relevant passages, usually from a large corpus, given a query. In practice, lexical term-matching algorithms like BM25 are popular choices for retrieval owing to their efficiency. However,…

Information Retrieval · Computer Science 2020-09-23 Davis Liang , Peng Xu , Siamak Shakeri , Cicero Nogueira dos Santos , Ramesh Nallapati , Zhiheng Huang , Bing Xiang

We compare Ising ({-1,+1}) and QUBO ({0,1}) encodings for Boltzmann machine learning under a controlled protocol that fixes the model, sampler, and step size. Exploiting the identity that the Fisher information matrix (FIM) equals the…

Machine Learning · Computer Science 2025-10-16 Yasushi Hasegawa , Masayuki Ohzeki

Tokenization is a crucial step in information retrieval, especially for lexical matching algorithms, where the quality of indexable tokens directly impacts the effectiveness of a retrieval system. Since different languages have unique…

Computation and Language · Computer Science 2022-10-12 Odunayo Ogundepo , Xinyu Zhang , Jimmy Lin

Information reconciliation is a crucial procedure in the classical post-processing of quantum key distribution (QKD). Poor reconciliation efficiency, revealing more information than strictly needed, may compromise the maximum attainable…

Quantum Physics · Physics 2013-01-30 Jesus Martinez-Mateo , David Elkouss , Vicente Martin

Implicit neural representation (INR), particularly in combination with hash encoding, has recently emerged as a promising approach for computed tomography (CT) image reconstruction. However, directly applying INR techniques to 3D dental…

Image and Video Processing · Electrical Eng. & Systems 2025-06-17 Hyoung Suk Park , Kiwan Jeon

Locally Decodable Codes (LDCs) are error correcting codes which permit the recovery of any single message symbol with a low number of queries to the codeword (the locality). Traditional LDC tradeoffs between the rate, locality, and error…

Information Theory · Computer Science 2025-07-08 Jeremiah Blocki , Justin Zhang

We study retrieval design for code-focused generation tasks under realistic compute budgets. Using two complementary tasks from Long Code Arena -- code completion and bug localization -- we systematically compare retrieval configurations…

Machine Learning · Computer Science 2025-10-24 Timur Galimzyanov , Olga Kolomyttseva , Egor Bogomolov
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