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In this paper, the method of gaps, a technique for deriving closed-form expressions in terms of information measures for the generalization error of supervised machine learning algorithms is introduced. The method relies on the notion of…

Machine Learning · Computer Science 2026-01-01 Samir M. Perlaza , Xinying Zou

Large language models are increasingly trained on all the data ever produced by humans. Many have raised concerns about the trustworthiness of public benchmarks due to potential contamination in pre-training or fine-tuning datasets. While…

Computation and Language · Computer Science 2023-11-14 Shuo Yang , Wei-Lin Chiang , Lianmin Zheng , Joseph E. Gonzalez , Ion Stoica

Recent advances in diffusion models bring state-of-the-art performance on image generation tasks. However, empirical results from previous research in diffusion models imply an inverse correlation between density estimation and sample…

Machine Learning · Computer Science 2022-06-14 Dongjun Kim , Seungjae Shin , Kyungwoo Song , Wanmo Kang , Il-Chul Moon

Reinforcement Learning (RL) has become a cornerstone for improving the performance of Large Language Models (LLMs). However, its rollout phase constitutes a significant efficiency bottleneck, mainly arising from the long-tail bubbles across…

Machine Learning · Computer Science 2026-05-12 Yuhang Xu , Kaibin Tian , Yang Tian , Zhice Yang , Yifeng Yu , Yan Li , Shengzhong Liu , Fan Wu , Guihai Chen

The superposition principle is the cornerstone of quantum mechanics, leading to a variety of genuinely quantum effects. Whether the principle applies also to macroscopic systems or, instead, there is a progressive breakdown when moving to…

The problem of investing into a cryptocurrency market requires good understanding of the processes that regulate the price of the currency. In this paper we offer a view of a cryptocurrency market as an environment for realization of a…

Trading and Market Microstructure · Quantitative Finance 2022-10-18 Misha Perepelitsa

Speculative decoding has emerged as a powerful approach to accelerate large language model (LLM) inference by employing lightweight draft models to propose candidate tokens that are subsequently verified by the target model. The…

Computation and Language · Computer Science 2026-04-22 Zongyue Qin , Raghavv Goel , Mukul Gagrani , Risheek Garrepalli , Mingu Lee , Yizhou Sun

Nowadays, recommendation systems have become crucial to online platforms, shaping user exposure by accurate preference modeling. However, such an exposure strategy can also reinforce users' existing preferences, leading to a notorious…

Social and Information Networks · Computer Science 2025-12-04 Difu Feng , Qianqian Xu , Zitai Wang , Cong Hua , Zhiyong Yang , Qingming Huang

Hallucination remains a key obstacle to the reliable deployment of large language models (LLMs) in real-world question answering tasks. A widely adopted strategy to detect hallucination, known as self-assessment, relies on the model's own…

Artificial Intelligence · Computer Science 2025-06-04 Jinyuan Luo , Zhen Fang , Yixuan Li , Seongheon Park , Ling Chen

We investigate the formation of virtual black holes in the context of generalized uncertainty principle (GUP), as a mediator for a proton decay process which is forbidden by the standard model. Then, we calculate the lower bounds of the GUP…

General Physics · Physics 2017-08-24 Salwa Alsaleh , Abeer Al-Modlej , Ahmed Farag Ali

We study the potential of $B\to K^{(*)} \ell^+\ell^-$ decays as tests of the standard model. After discussing the reliability of theoretical predictions for the hadronic matrix elements involved, we examine the impact of different new…

High Energy Physics - Phenomenology · Physics 2009-10-28 Gustavo Burdman

The presence of multiple fields during inflation might seed a detectable amount of non-Gaussianity in the curvature perturbations, which in turn becomes observable in present data sets like the cosmic microwave background (CMB) or the large…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-27 Sebastian Dorn , Erandy Ramirez , Kerstin E. Kunze , Stefan Hofmann , Torsten A. Enßlin

The aim of this paper is to probe the features of the bouncing cosmology with the current observational data. Basing on bounce inflation model, with high derivative term, we propose a general parametrization of primordial power spectrum…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-07 Shulei Ni , Hong Li , Taotao Qiu , Wei Zheng , Xin Zhang

Information-theoretic generalization bounds based on the supersample construction are a central tool for algorithm-dependent generalization analysis in the batch i.i.d.~setting. However, existing supersample conditional mutual information…

Machine Learning · Statistics 2026-05-13 Futoshi Futami , Masahiro Fujisawa

General perturbations of a spherical gas bubble in a compressible and inviscid fluid with surface tension were proved in Shapiro and Weinstein (2011), in the linearized approximation, to decay exponentially, $\sim e^{-\Gamma t}, \Gamma>0$,…

Analysis of PDEs · Mathematics 2012-10-02 Ovidiu Costin , Saleh Tanveer , Michael I. Weinstein

Recent results from the Planck satellite combined with earlier observations from WMAP, ACT, SPT and other experiments eliminate a wide spectrum of more complex inflationary models and favor models with a single scalar field, as reported by…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-11 Anna Ijjas , Paul J. Steinhardt , Abraham Loeb

We demonstrate that a purposefully normalised NNLO top pair invariant mass differential spectrum can have very small theoretical uncertainty and, in particular, a small sensitivity to the top quark mass. Such observable can thus be a very…

High Energy Physics - Phenomenology · Physics 2017-01-13 Michal Czakon , David Heymes , Alexander Mitov

Prices in financial markets exhibit extreme jumps far more often than can be accounted for by external news. Further, magnitudes of price changes are correlated over long times. These so called stylized facts are quantified by scaling laws…

Trading and Market Microstructure · Quantitative Finance 2016-05-04 Felix Patzelt , Klaus Pawelzik

It is already understood that the increasing observational evidence for an open Universe can be reconciled with inflation if our horizon is contained inside one single huge bubble nucleated during the inflationary phase transition. In this…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Luca Amendola , Carlo Baccigalupi , Franco Occhionero

Our analysis of financial data, in terms of super-exponential growth, suggests that the seed of the 2002/03 crisis of the Dutch supermarket giant AHOLD was planted in 1996. It became quite visible in 1999 when the post-bubble…

Statistical Mechanics · Physics 2008-12-02 G. Broekstra , D. Sornette , W. -X. Zhou