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Combining empirical risk minimization with capacity control is a classical strategy in machine learning when trying to control the generalization gap and avoid overfitting, as the model class capacity gets larger. Yet, in modern deep…

Machine Learning · Computer Science 2024-03-18 Marc Lafon , Alexandre Thomas

This work studies the distributionally robust evaluation of expected values over temporal data. A set of alternative measures is characterized by the causal optimal transport. We prove the strong duality and recast the causality constraint…

Mathematical Finance · Quantitative Finance 2025-06-18 Bingyan Han

The current situation of the double beta decay direct counting experiments is briefly reviewed. A comparison with the theoretical predictions in some representative nuclear models is presented.

High Energy Physics - Phenomenology · Physics 2009-10-31 Angel Morales

The emerging cryptocurrency market has lately received great attention for asset allocation due to its decentralization uniqueness. However, its volatility and brand new trading mode have made it challenging to devising an acceptable…

Machine Learning · Computer Science 2021-10-19 Fengrui Liu , Yang Li , Baitong Li , Jiaxin Li , Huiyang Xie

In this paper, we studied two identically-trained neural networks (i.e. networks with the same architecture, trained on the same dataset using the same algorithm, but with different initialization) and found that their outputs discrepancy…

Machine Learning · Computer Science 2023-05-26 Yifan Luo , Bin Dong

The nuclear matrix elements that govern the rate of neutrinoless double beta decay must be accurately calculated if experiments are to reach their full potential. Theorists have been working on the problem for a long time but have recently…

Nuclear Theory · Physics 2017-03-29 Jonathan Engel , Javier Menéndez

We study a hypothesis testing problem in which data is compressed distributively and sent to a detector that seeks to decide between two possible distributions for the data. The aim is to characterize all achievable encoding rates and…

Information Theory · Computer Science 2011-02-01 Md. Saifur Rahman , Aaron B. Wagner

We study capital process behavior in the fair-coin game and biased-coin games in the framework of the game-theoretic probability of Shafer and Vovk (2001). We show that if Skeptic uses a Bayesian strategy with a beta prior, the capital…

Statistics Theory · Mathematics 2008-12-02 Masayuki Kumon , Akimichi Takemura , Kei Takeuchi

The null hypothesis of equality of distributions of functional data coming from $K$ samples is considered. The proposed test statistic is multivariate and its components are based on pairwise Cram\'{e}r von Mises comparisons of empirical…

Statistics Theory · Mathematics 2025-04-25 Šárka Hudecová , Daniel Hlubinka , Zdeněk Hlávka

An open distributed system can be secured by requiring participants to present proof of work and rewarding them for participation. The Bitcoin digital currency introduced this mechanism, which is adopted by almost all contemporary digital…

Cryptography and Security · Computer Science 2014-12-01 Ittay Eyal

Proof-of-work allows Bitcoin to boast security amidst arbitrary fluctuations in participation of miners throughout time, so long as, at any point in time, a majority of hash power is honest. In recent years, however, the pendulum has…

Cryptography and Security · Computer Science 2025-08-12 Yuval Efron , Joachim Neu , Toniann Pitassi

In this paper, we identify a new form of attack, called the Balance attack, against proof-of-work blockchain systems. The novelty of this attack consists of delaying network communications between multiple subgroups of nodes with balanced…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-02 Christopher Natoli , Vincent Gramoli

We relate models based on costs of switching beliefs (e.g. due to inattention) to hypothesis tests. Specifically, for an inference problem with a penalty for mistakes and for switching the inferred value, a band of inaction is optimal. We…

General Economics · Economics 2018-08-30 Samuel N. Cohen , Timo Henckel , Gordon D. Menzies , Johannes Muhle-Karbe , Daniel J. Zizzo

We introduce a new model for sums of exchangeable binary random variables. The proposed distribution is an approximation to the exact distributional form, and relies on the theory of completely monotone functions and the Laplace transform…

Methodology · Statistics 2020-11-18 Ryan Elmore

Many aspects of blockchain-based decentralized finance can be understood as an extension of classical distributed computing. In this paper, we trace the evolution of two interrelated notions: failure and fault-tolerance. In classical…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-28 Daniel Engel , Maurice Herlihy , Yingjie Xue

Bitcoin's price has been described as following a power law (PL) in time, $P \sim t^{\beta}$ with $\hat\beta \approx 5.7$ over 2010-2026. We test this claim using the Clauset-Shalizi-Newman protocol applied to Bitcoin's tail-relevant…

Applications · Statistics 2026-05-21 Carlos Baquero , Raquel Menezes

Conformal prediction gives exact finite-sample coverage guarantees under exchangeability, but deployed systems are judged by more than coverage alone. For a fixed calibrated rule reused over a finite operational window, stakeholders also…

Methodology · Statistics 2026-03-12 Petrus H. Zwart

The development of clustering heuristics has demonstrated that Bitcoin is not completely anonymous. Currently, existing clustering heuristics only consider confirmed transactions recorded in the Bitcoin blockchain. However, unconfirmed…

Cryptography and Security · Computer Science 2023-03-06 Kai Wang , Maike Tong , Changhao Wu , Jun Pang , Chen Chen , Xiapu Luo , Weili Han

Many of the recent works on the profitability of rogue mining strategies hinge on a parameter called $\gamma$ that measures the proportion of the honest network attracted by the attacker to mine on top of his fork. These works, see…

Cryptography and Security · Computer Science 2022-08-23 Pantelis Tassopoulos , Yorgos Protonotarios

Blockchain-based consensus protocols present the opportunity to develop new protocols, due to their novel requirements of open participation and explicit incentivization of participants. To address the first requirement, it is necessary to…

Cryptography and Security · Computer Science 2018-08-09 Sarah Azouvi , Patrick McCorry , Sarah Meiklejohn