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We present algorithms for efficiently learning regularizers that improve generalization. Our approach is based on the insight that regularizers can be viewed as upper bounds on the generalization gap, and that reducing the slack in the…

机器学习 · 计算机科学 2019-02-25 Matthew Streeter

We discuss the necessity of non-perturbative renormalization in QCD and HQET and explain the general strategy for solving this problem. A few selected topics are discussed in some detail, namely the importance of off-shell improvement in…

高能物理 - 格点 · 物理学 2011-01-27 Rainer Sommer

This document provides a brief introduction to the attention mechanism used in modern language models based on the Transformer architecture. We first illustrate how text is encoded as vectors and how the attention mechanism processes these…

数值分析 · 数学 2026-04-02 Michel Fabrice Serret

The two key characteristics of a normalizing flow is that it is invertible (in particular, dimension preserving) and that it monitors the amount by which it changes the likelihood of data points as samples are propagated along the network.…

机器学习 · 计算机科学 2023-01-27 Bálint Máté , Samuel Klein , Tobias Golling , François Fleuret

A regularization renormalization method ($RRM$) in quantum field theory ($QFT$) is discussed with simple rules: Once a divergent integral $I$ is encountered, we first take its derivative with respect to some mass parameter enough times,…

量子物理 · 物理学 2010-07-20 Guang-jiong Ni , Jianjun Xu , Senyue Lou

Quantum kernel methods (QKMs) have emerged as a prominent framework for supervised quantum machine learning. Unlike variational quantum algorithms, which rely on gradient-based optimisation and may suffer from issues such as barren…

量子物理 · 物理学 2026-04-10 John Tanner , Chon-Fai Kam , Jingbo Wang

Imitation learning approaches achieve good generalization within the range of the training data, but tend to generate unpredictable motions when querying outside this range. We present a novel approach to imitation learning with enhanced…

机器人学 · 计算机科学 2022-12-19 Hector Villeda , Justus Piater , Matteo Saveriano

Quantum Transformers integrate the representational power of classical Transformers with the computational advantages of quantum computing. Since 2022, research in this area has rapidly expanded, giving rise to diverse technical paradigms…

量子物理 · 物理学 2025-12-01 Hui Zhang , Qinglin Zhao , Mengchu Zhou , Li Feng , Dusit Niyato , Shenggen Zheng , Lin Chen

Much theoretical work has described the ability of transformers to represent formal languages. However, linking theoretical results to empirical performance is not straightforward due to the complex interplay between the architecture, the…

计算与语言 · 计算机科学 2024-10-07 Anej Svete , Nadav Borenstein , Mike Zhou , Isabelle Augenstein , Ryan Cotterell

Since the inception of Large Language Models (LLMs), the quest to efficiently train them for superior reasoning capabilities has been a pivotal challenge. The dominant training paradigm for LLMs is based on next token prediction (NTP).…

计算与语言 · 计算机科学 2025-02-21 Pengxiao Lin , Zhongwang Zhang , Zhi-Qin John Xu

Multiple kernel learning (MKL), structured sparsity, and multi-task learning have recently received considerable attention. In this paper, we show how different MKL algorithms can be understood as applications of either regularization on…

机器学习 · 统计学 2011-03-03 Ryota Tomioka , Taiji Suzuki

Due to the over-parameterization nature, neural networks are a powerful tool for nonlinear function approximation. In order to achieve good generalization on unseen data, a suitable inductive bias is of great importance for neural networks.…

机器学习 · 计算机科学 2021-11-17 Weiyang Liu , Rongmei Lin , Zhen Liu , Li Xiong , Bernhard Schölkopf , Adrian Weller

Conventional machine learning algorithms have traditionally been designed under the assumption that input data follows a vector-based format, with an emphasis on vector-centric paradigms. However, as the demand for tasks involving set-based…

机器学习 · 计算机科学 2024-04-01 Masanari Kimura , Ryotaro Shimizu , Yuki Hirakawa , Ryosuke Goto , Yuki Saito

Normalization is an important database design method, in the course of the teaching of data modeling the understanding and applying of this method cause problems for students the most. For improving the efficiency of learning normalization…

数据库 · 计算机科学 2014-05-09 Márta Czenky

Learning linear combinations of multiple kernels is an appealing strategy when the right choice of features is unknown. Previous approaches to multiple kernel learning (MKL) promote sparse kernel combinations to support interpretability and…

机器学习 · 计算机科学 2010-10-28 Marius Kloft , Ulf Brefeld , Soeren Sonnenburg , Alexander Zien

Reinforcement learning (RL) post-training is crucial for LLM alignment and reasoning, but existing policy-based methods, such as PPO and DPO, can fall short of fixing shortcuts inherited from pre-training. In this work, we introduce…

Regularization-based approaches for injecting constraints in Machine Learning (ML) were introduced to improve a predictive model via expert knowledge. We tackle the issue of finding the right balance between the loss (the accuracy of the…

机器学习 · 计算机科学 2020-05-22 Michele Lombardi , Federico Baldo , Andrea Borghesi , Michela Milano

We introduce an architecture for neural quantum states for many-body quantum-mechanical systems, based on normalizing flows. The use of normalizing flows enables efficient uncorrelated sampling of configurations from the probability…

量子物理 · 物理学 2024-06-05 Scott Lawrence , Arlee Shelby , Yukari Yamauchi

We give an introduction to renormalisation, focusing first on a pedagogical description of fundamental concepts of the procedure and its features, then we introduce the renormalisation group and its equations. We discuss then the case of…

高能物理 - 唯象学 · 物理学 2026-05-21 Leonardo Di Giustino

Quantum signal processing (QSP) and quantum singular value transformation (QSVT) are powerful techniques for the development of quantum procedures. They allow to derive circuits preparing desired polynomial transformations. Recent research…

量子物理 · 物理学 2025-07-04 Lorenzo Laneve