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We prove the first hardness results against efficient proof search by quantum algorithms. We show that under Learning with Errors (LWE), the standard lattice-based cryptographic assumption, no quantum algorithm can weakly automate…

Computational Complexity · Computer Science 2026-03-10 Noel Arteche , Gaia Carenini , Matthew Gray

Low-bit post-training quantization (PTQ) is a practical route to deploy reasoning-capable LLMs under tight memory and latency budgets, yet it can markedly impair mathematical reasoning (drops up to 69.81% in our harder settings). We address…

Machine Learning · Computer Science 2026-01-21 Zhen Li , Yupeng Su , Songmiao Wang , Runming Yang , Congkai Xie , Aofan Liu , Ming Li , Jiannong Cao , Yuan Xie , Ngai Wong , Hongxia Yang

We propose a new optimization algorithm for Multiple Kernel Learning (MKL) called SpicyMKL, which is applicable to general convex loss functions and general types of regularization. The proposed SpicyMKL iteratively solves smooth…

Machine Learning · Statistics 2011-05-10 Taiji Suzuki , Ryota Tomioka

This study proposes post-quantum encrypted control systems based on dynamic-key Learning with Errors (LWE) encryption schemes. The proposed method develops update maps that simultaneously update the private key and ciphertexts within the…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Jungjin Park , Kiminao Kogiso

We introduce a new rank-based key encapsulation mechanism (KEM) with public key and ciphertext sizes around 3.5 Kbytes each, for 128 bits of security, without using ideal structures. Such structures allow to compress objects, but give…

Cryptography and Security · Computer Science 2022-06-27 Carlos Aguilar-Melchor , Nicolas Aragon , Victor Dyseryn , Philippe Gaborit , Gilles Zémor

Hyperspectral sensing provides rich spectral information for scene understanding in urban driving, but its high dimensionality poses challenges for interpretation and efficient learning. We introduce Learnable Quantum Efficiency (LQE), a…

Computer Vision and Pattern Recognition · Computer Science 2026-04-17 Imad Ali Shah , Jiarong Li , Ethan Delaney , Enda Ward , Martin Glavin , Edward Jones , Brian Deegan

Evaluating the quality and variability of text generated by Large Language Models (LLMs) poses a significant, yet unresolved research challenge. Traditional evaluation methods, such as ROUGE and BERTScore, which measure token similarity,…

Computation and Language · Computer Science 2024-01-05 Wendi Cui , Jiaxin Zhang , Zhuohang Li , Lopez Damien , Kamalika Das , Bradley Malin , Sricharan Kumar

Learning with Errors (LWE) problems are the foundations for numerous applications in lattice-based cryptography and are provably as hard as approximate lattice problems in the worst case. Here we present a reduction from LWE problem to…

Quantum Physics · Physics 2013-06-05 Fada Li , Wansu Bao , Xiangqun Fu , Yuchao Zhang , Tan Li

Large Language Models (LLMs) have demonstrated remarkable proficiency across a wide range of tasks. However, LLMs often require larger batch sizes to enhance throughput or longer context lengths to meet task demands, which significantly…

Machine Learning · Computer Science 2025-05-23 Zhihang Cai , Xingjun Zhang , Zhendong Tan , Zheng Wei

Agents built on large language models (LLMs) rely on a range of reliability techniques, including retry, majority voting, and self-consistency, that have been developed in parallel rather than within a common analytical framework. We…

Machine Learning · Computer Science 2026-05-12 Hamed Omidvar , Vahideh Akhlaghi

We introduce the Knob-Meter-Rule (KMR) framework, a unified formalism for representing and reasoning about model efficiency techniques in deep learning. By abstracting diverse methods, including pruning, quantization, knowledge…

Machine Learning · Computer Science 2025-08-20 Naman Tyagi , Srishti Das , Kunal , Vatsal Gupta

Lattice-Boltzmann methods are known for their simplicity, efficiency and ease of parallelization, usually relying on uniform Cartesian meshes with a strong bond between spatial and temporal discretization. This fact complicates the crucial…

Numerical Analysis · Mathematics 2022-10-19 Thomas Bellotti , Loïc Gouarin , Benjamin Graille , Marc Massot

We investigate statistical properties for a broad class of modern kernel-based regression (KBR) methods. These kernel methods were developed during the last decade and are inspired by convex risk minimization in infinite-dimensional Hilbert…

Statistics Theory · Mathematics 2009-09-29 Andreas Christmann , Ingo Steinwart

Rapid growth of digital transactions has led to a surge in fraudulent activities, challenging traditional detection methods in the financial sector. To tackle this problem, we introduce a specialised federated learning framework that…

Kernel methods provide a theoretically grounded framework for non-linear and non-parametric learning, with strong analytic foundations and statistical guarantees. Yet, their scalability has long been limited by prohibitive time and memory…

Machine Learning · Computer Science 2025-10-01 Maedeh Zarvandi , Michael Timothy , Theresa Wasserer , Debarghya Ghoshdastidar

Quadratic form reduction and lattice reduction are fundamental tools in computational number theory and in computer science, especially in cryptography. The celebrated Lenstra-Lenstra-Lov\'asz reduction algorithm (so-called LLL) has been…

Data Structures and Algorithms · Computer Science 2019-05-29 Thomas Espitau , Antoine Joux

In the wake of recent progress on quantum computing hardware, the National Institute of Standards and Technology (NIST) is standardizing cryptographic protocols that are resistant to attacks by quantum adversaries. The primary digital…

Cryptography and Security · Computer Science 2024-03-08 Kelsey A. Jackson , Carl A. Miller , Daochen Wang

One of the primary challenges in optimizing large language models (LLMs) for long-context inference lies in the high memory consumption of the Key-Value (KV) cache. Existing approaches, such as quantization, have demonstrated promising…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Wei Tao , Haocheng Lu , Xiaoyang Qu , Bin Zhang , Kai Lu , Jiguang Wan , Jianzong Wang

Distributional reinforcement learning (DRL) extends the value-based approach by approximating the full distribution over future returns instead of the mean only, providing a richer signal that leads to improved performances. Quantile…

Machine Learning · Statistics 2022-02-23 Alix Lhéritier , Nicolas Bondoux

Long-context Large Language Models (LLMs) face significant memory bottlenecks during inference due to the linear growth of key-value (KV) cache with sequence length. While individual optimization techniques like KV cache quantization,…

Machine Learning · Computer Science 2025-12-02 Sai Gokhale , Devleena Das , Rajeev Patwari , Ashish Sirasao , Elliott Delaye
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