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Conformal prediction offers a distribution-free framework for constructing prediction sets with coverage guarantees. In practice, multiple valid conformal prediction sets may be available, arising from different models or methodologies.…

Machine Learning · Statistics 2025-06-26 Mahmoud Hegazy , Liviu Aolaritei , Michael I. Jordan , Aymeric Dieuleveut

We consider the problem of fair allocation of $m$ indivisible items to a group of $n$ agents with subsidy (money). Our work mainly focuses on the allocation of chores but most of our results extend to the allocation of goods as well. We…

Computer Science and Game Theory · Computer Science 2023-07-11 Xiaowei Wu , Cong Zhang , Shengwei Zhou

As cryptographic tokens and altcoins are increasingly being built to serve as utility tokens, the notion of useful work consensus protocols, as opposed to number-crunching PoW consensus, is becoming ever more important. In such contexts,…

Cryptography and Security · Computer Science 2019-05-13 Michał Król , Alberto Sonnino , Mustafa Al-Bassam , Argyrios Tasiopoulos , Ioannis Psaras

Capital allocation principles are used in various contexts in which a risk capital or a cost of an aggregate position has to be allocated among its constituent parts. We study capital allocation principles in a performance measurement…

Risk Management · Quantitative Finance 2014-07-15 Eduard Kromer , Ludger Overbeck

Certifying verification algorithms not only return whether a given property holds or not, but also provide an accompanying independently checkable certificate and a corresponding witness. The certificate can be used to easily validate the…

Logic in Computer Science · Computer Science 2025-01-13 Christel Baier , Calvin Chau , Sascha Klüppelholz

We introduce probability estimation, a broadly applicable framework to certify randomness in a finite sequence of measurement results without assuming that these results are independent and identically distributed. Probability estimation…

Quantum Physics · Physics 2018-11-30 Yanbao Zhang , Emanuel Knill , Peter Bierhorst

Verification is the process of checking whether a product has been implemented according to its prescribed specifications. We study the case of a designer (the developer) that needs to verify its design by a third party (the verifier), by…

Cryptography and Security · Computer Science 2016-05-13 Yixian Cai , George Karakostas , Alan Wassyng

Irrelevance-based partial MAPs are useful constructs for domain-independent explanation using belief networks. We look at two definitions for such partial MAPs, and prove important properties that are useful in designing algorithms for…

Artificial Intelligence · Computer Science 2013-03-26 Solomon Eyal Shimony

Position verification schemes are interactive protocols where entities prove their physical location to others; this enables interactive proofs for statements of the form "I am at a location $L$." Although secure position verification…

Quantum Physics · Physics 2026-02-17 Uma Girish , Greg Gluch , Shafi Goldwasser , Tal Malkin , Leo Orshansky , Henry Yuen

We give an AM protocol that allows the verifier to sample elements x from a probability distribution P, which is held by the prover. If the prover is honest, the verifier outputs (x, P(x)) with probability close to P(x). In case the prover…

Computational Complexity · Computer Science 2014-03-25 Thomas Holenstein , Robin Künzler

Certified randomness guaranteed to be unpredictable by adversaries is central to information security. The fundamental randomness inherent in quantum physics makes certification possible from devices that are only weakly characterised, i.e.…

We study non-monetary mechanisms for the fair and efficient allocation of reusable public resources, i.e., resources used for varying durations. We consider settings where a limited resource is repeatedly shared among a set of agents, each…

Computer Science and Game Theory · Computer Science 2023-10-17 Siddhartha Banerjee , Giannis Fikioris , Éva Tardos

Fairly allocating indivisible goods is a frequently occurring task in everyday life. Given an initial allocation of the goods, we consider the problem of reforming it via a sequence of exchanges to attain fairness in the form of…

Computer Science and Game Theory · Computer Science 2024-12-30 Sheung Man Yuen , Ayumi Igarashi , Naoyuki Kamiyama , Warut Suksompong

This paper presents a new method for obtaining small algebras to check the admissibility-equivalently, validity in free algebras-of quasi-identities in a finitely generated quasivariety. Unlike a previous algebraic approach of Metcalfe and…

We study allocation problems without monetary transfers where agents have correlated types, i.e., hold private information about one another. Such peer information is relevant in various settings, including science funding, allocation of…

Theoretical Economics · Economics 2025-03-21 Axel Niemeyer , Justus Preusser

Research on quantum technology spans multiple disciplines: physics, computer science, engineering, and mathematics. The objective of this manuscript is to provide an accessible introduction to this emerging field for economists that is…

General Economics · Economics 2021-10-11 Isaiah Hull , Or Sattath , Eleni Diamanti , Göran Wendin

We formulate and study the algorithmic mechanism design problem for a general class of resource allocation settings, where the center redistributes the private resources brought by individuals. Money transfer is forbidden. Distinct from the…

Computer Science and Game Theory · Computer Science 2015-03-24 Qipeng Liu , Yicheng Liu , Pingzhong Tang

One of the earliest cryptographic applications of quantum information was to create quantum digital cash that could not be counterfeited. In this paper, we describe a new type of quantum money: quantum coins, where all coins of the same…

Quantum Physics · Physics 2010-09-07 Michele Mosca , Douglas Stebila

We study a budget aggregation setting where voters express their preferred allocation of a fixed budget over a set of alternatives, and a mechanism aggregates these preferences into a single output allocation. Motivated by scenarios in…

Computer Science and Game Theory · Computer Science 2025-05-12 Ulrike Schmidt-Kraepelin , Warut Suksompong , Markus Utke

Protecting secrets is a key challenge in our contemporary information-based era. In common situations, however, revealing secrets appears unavoidable, for instance, when identifying oneself in a bank to retrieve money. In turn, this may…

Cryptography and Security · Computer Science 2022-02-17 Pouriya Alikhani , Nicolas Brunner , Claude Crépeau , Sébastien Designolle , Raphaël Houlmann , Weixu Shi , Nan Yang , Hugo Zbinden