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In this paper we consider a scenario where there are several algorithms for solving a given problem. Each algorithm is associated with a probability of success and a cost, and there is also a penalty for failing to solve the problem. The…

Data Structures and Algorithms · Computer Science 2020-08-11 Shlomo Moran , Irad Yavneh

The legitimacy of bottom-up democratic processes for the distribution of public funds by policy-makers is challenging and complex. Participatory budgeting is such a process, where voting outcomes may not always be fair or inclusive.…

Multiagent Systems · Computer Science 2023-07-25 Srijoni Majumdar , Evangelos Pournaras

The growing popularity of online fundraising (aka "crowdfunding") has attracted significant research on the subject. In contrast to previous studies that attempt to predict the success of crowdfunded projects based on specific…

Human-Computer Interaction · Computer Science 2021-01-19 Henry K. Dambanemuya , Emőke-Ágnes Horvát

Though the ability of human beings to deal with probabilities has been put into question, the assessment of rarity is a crucial competence underlying much of human decision-making and is pervasive in spontaneous narrative behaviour. This…

Other Computer Science · Computer Science 2011-08-25 Jean-Louis Dessalles

We propose an ensemble algorithm, which provides a new approach for evaluating and summing up a set of function samples. The proposed algorithm is not a quantum algorithm, insofar it does not involve quantum entanglement. The query…

Quantum Physics · Physics 2009-11-07 C. D'Helon , V. Protopopescu

Detection of rare traits or diseases in a large population is challenging. Pool testing allows covering larger swathes of population at a reduced cost, while simplifying logistics. However, testing precision decreases as it becomes unclear…

Information Theory · Computer Science 2021-06-22 Éric Brier , Megi Dervishi , Rémi Géraud-Stewart , David Naccache , Ofer Yifrach-Stav

Standard measures of batting performance such as a batting average and an on-base percentage can be decomposed into component rates such as strikeout rates and home run rates. The likelihood of hitting data for a group of players can be…

Applications · Statistics 2015-06-26 Jim Albert

Genome-wide association analysis has generated much discussion about how to preserve power to detect signals despite the detrimental effect of multiple testing on power. We develop a weighted multiple testing procedure that facilitates the…

Statistics Theory · Mathematics 2007-06-13 Kathryn Roeder , Bernie Devlin , Larry Wasserman

In probabilistic cloning with two auxiliary systems, we consider and compare three different protocols for the success probabilities of cloning. We show that, in certain circumstances, it may increase the success probability to add an…

Quantum Physics · Physics 2015-06-26 Lvjun Li , Daowen Qiu

We propose a new method, probabilistic divide-and-conquer, for improving the success probability in rejection sampling. For the example of integer partitions, there is an ideal recursive scheme which improves the rejection cost from…

Probability · Mathematics 2015-11-25 Richard Arratia , Stephen DeSalvo

When people pursue rewards in stochastic environments, they often match their choice frequencies to the observed target frequencies, even when this policy is demonstrably sub-optimal. We used a ``hide and seek'' task to evaluate this…

Neurons and Cognition · Quantitative Biology 2025-11-11 Peter DiBerardino , Britt Anderson

An example shows that weak decoherence is more restrictive than the minimal logical decoherence structure that allows probabilities to be used consistently for quantum histories. The probabilities in the sum rules that define minimal…

Quantum Physics · Physics 2010-10-11 Thomas F. Jordan , Eric D. Chisolm

A diverse array of reasoning strategies has been proposed to elicit the capabilities of large language models. However, in this paper, we point out that traditional evaluations which focus solely on performance metrics miss a key factor:…

Computation and Language · Computer Science 2024-06-18 Junlin Wang , Siddhartha Jain , Dejiao Zhang , Baishakhi Ray , Varun Kumar , Ben Athiwaratkun

In this paper, we propose algorithms that leverage a known community structure to make group testing more efficient. We consider a population organized in disjoint communities: each individual participates in a community, and its infection…

Information Theory · Computer Science 2021-03-18 Pavlos Nikolopoulos , Tao Guo , Sundara Rajan Srinivasavaradhan , Christina Fragouli , Suhas Diggavi

Weak-value amplification employs postselection to enhance the measurement of small parameters of interest. The amplification comes at the expense of reduced success probability, hindering the utility of this technique as a tool for…

Quantum Physics · Physics 2020-12-29 Muthumanimaran Vetrivelan , Sai Vinjanampathy

Repeat-until-success strategy is a standard method to obtain success with a probability which grows exponentially in the number of iterations. However, since quantum systems are disturbed after a quantum measurement, it is not…

Quantum Physics · Physics 2021-04-20 Qingxiuxiong Dong , Marco Túlio Quintino , Akihito Soeda , Mio Murao

In this work the properties of multi choice minority games are studied by means of extensive computational simulations. We have considered several ways of rewarding the strategies of the players and compared the resulting behaviours of the…

Disordered Systems and Neural Networks · Physics 2008-11-23 J. Menche , J. R. L. de Almeida

While running any experiment, we often have to consider the statistical power to ensure an effective study. Statistical power or power ensures that we can observe an effect with high probability if such a true effect exists. However,…

Methodology · Statistics 2023-06-21 Ajinkya K Mulay , Sean Lane , Erin Hennes

Voting power determines the "power" of individuals who cast votes; their power is based on their ability to influence the winning-ness of a coalition. Usually each individual acts alone, casting either all or none of their votes and is…

Computer Science and Game Theory · Computer Science 2013-12-13 Daniel Zwillinger

Are there voting methods which (i) give everyone, including minorities, an equal share of effective power even if voters act strategically, (ii) promote consensus rather than polarization and inequality, and (iii) do not favour the status…

General Economics · Economics 2020-06-12 Jobst Heitzig , Forest W. Simmons