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Hard Attention Mechanisms (HAMs) effectively filter essential information discretely and significantly boost the performance of machine learning models on large datasets. Nevertheless, they confront the challenge of non-differentiability,…

Quantum Physics · Physics 2024-12-31 Ren-Xin Zhao

A structure-preserving kernel ridge regression method is presented that allows the recovery of nonlinear Hamiltonian functions out of datasets made of noisy observations of Hamiltonian vector fields. The method proposes a closed-form…

Machine Learning · Statistics 2025-04-07 Jianyu Hu , Juan-Pablo Ortega , Daiying Yin

Nonlocal operators with integral kernels have become a popular tool for designing solution maps between function spaces, due to their efficiency in representing long-range dependence and the attractive feature of being resolution-invariant.…

Machine Learning · Statistics 2022-05-24 Fei Lu , Qingci An , Yue Yu

Pre-trained transformer models with extended context windows are notoriously expensive to run at scale, often limiting real-world deployment due to their high computational and memory requirements. In this paper, we introduce Hamming…

Machine Learning · Computer Science 2025-02-05 Mark Horton , Tergel Molom-Ochir , Peter Liu , Bhavna Gopal , Chiyue Wei , Cong Guo , Brady Taylor , Deliang Fan , Shan X. Wang , Hai Li , Yiran Chen

Quantum kernel methods are among the leading candidates for achieving quantum advantage in supervised learning. A key bottleneck is the cost of inference: evaluating a trained model on new data requires estimating a weighted sum…

Quantum Physics · Physics 2026-04-20 Elies Gil-Fuster , Seongwook Shin , Sofiene Jerbi , Jens Eisert , Maximilian J. Kramer

Quantum computing, with its potential to enhance various machine learning tasks, allows significant advancements in kernel calculation and model precision. Utilizing the one-class Support Vector Machine alongside a quantum kernel, known for…

Quantum computers with hundreds of qubits will be available soon. Unfortunately, high device error-rates pose a significant challenge in using these near-term quantum systems to power real-world applications. Executing a program on existing…

Quantum Physics · Physics 2022-08-22 Swamit Tannu , Poulami Das , Ramin Ayanzadeh , Moinuddin Qureshi

Kernel adaptive filtering (KAF) integrates traditional linear algorithms with kernel methods to generate nonlinear solutions in the input space. The standard approach relies on the representer theorem and the kernel trick to perform…

Signal Processing · Electrical Eng. & Systems 2025-01-16 Kan Li , Jose C. Principe

Neural document rerankers are extremely effective in terms of accuracy. However, the best models require dedicated hardware for serving, which is costly and often not feasible. To avoid this serving-time requirement, we present a method of…

Computation and Language · Computer Science 2023-10-24 Livio Baldini Soares , Daniel Gillick , Jeremy R. Cole , Tom Kwiatkowski

Quantum computing, with its ability to do exponentially faster computation compared to classical systems, has found novel applications in various fields such as machine learning and recommendation systems. Quantum Machine Learning (QML),…

Information Retrieval · Computer Science 2025-08-22 Amir Kermanshahani , Ebrahim Ardeshir-Larijani , Rakesh Saini , Saif Al-Kuwari

The Helstrom measurement (HM) is known to be the optimal strategy for distinguishing non-orthogonal quantum states with minimum error. Previously, a binary classifier based on classical simulation of the HM has been proposed. It was…

Quantum Physics · Physics 2024-03-25 Wooseop Hwang , Daniel K. Park , Israel F. Araujo , Carsten Blank

Retrieval-augmented code generation often conditions the decoder on large retrieved code snippets. This ties online inference cost to repository size and introduces noise from long contexts. We present Hierarchical Embedding Fusion (HEF), a…

Computation and Language · Computer Science 2026-03-10 Nikita Sorokin , Ivan Sedykh , Valentin Malykh

Modern day Language Models see extensive use in text classification, yet this comes at significant computational cost. Compute-effective classification models are needed for low-resource environments, most notably on edge devices. We…

Machine Learning · Computer Science 2024-11-22 Stan Loosmore , Alexander Titus

Deep neural networks excel in high-dimensional problems, outperforming models such as kernel methods, which suffer from the curse of dimensionality. However, the theoretical foundations of this success remain poorly understood. We follow…

Machine Learning · Statistics 2025-10-06 Shuo Huang , Hippolyte Labarrière , Ernesto De Vito , Tomaso Poggio , Lorenzo Rosasco

Weight-only quantization is widely used to mitigate the memory-bound nature of LLM inference. Codebook-based methods extend this trend by achieving strong accuracy in the extremely low-bit regime (e.g., 2-bit). However, current kernels rely…

Machine Learning · Computer Science 2025-12-23 Gunho Park , Jeongin Bae , Byeongwook Kim , Baeseong park , Jiwon Ryu , Hoseung Kim , Se Jung Kwon , Dongsoo Lee

Knowledge graph embedding (KGE) has shown great potential in automatic knowledge graph (KG) completion and knowledge-driven tasks. However, recent KGE models suffer from high training cost and large storage space, thus limiting their…

Machine Learning · Computer Science 2022-05-25 Kai Wang , Yu Liu , Quan Z. Sheng

Test-time finetuning (TTFT) is a rapidly evolving paradigm that adapts a language model to each prompt by retrieving related sequences, updating the model on them, and then evaluating the prompt. However, TTFT is only practical if it is…

Machine Learning · Computer Science 2026-05-29 Alaa Khamis , Alaa Maalouf

Hybrid variational quantum algorithms are promising for solving practical problems, such as combinatorial optimization, quantum chemistry simulation, quantum machine learning, and quantum error correction on noisy quantum computers.…

Supervised learning in reproducing kernel Hilbert space (RKHS) and vector-valued RKHS (vvRKHS) has been investigated for more than 30 years. In this paper, we provide a new twist to this rich literature by generalizing supervised learning…

Machine Learning · Statistics 2024-06-27 Yuka Hashimoto , Masahiro Ikeda , Hachem Kadri

Training and inference on edge devices often requires an efficient setup due to computational limitations. While pre-computing data representations and caching them on a server can mitigate extensive edge device computation, this leads to…

Computation and Language · Computer Science 2023-05-17 Ulf A. Hamster , Ji-Ung Lee , Alexander Geyken , Iryna Gurevych
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