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We consider the problem of detecting a small subset of defective items from a large set via non-adaptive "random pooling" group tests. We consider both the case when the measurements are noiseless, and the case when the measurements are…

Information Theory · Computer Science 2011-07-25 Chun Lam Chan , Pak Hou Che , Sidharth Jaggi , Venkatesh Saligrama

An algorithm to estimate the evolution of learning curves on the whole of a training data base, based on the results obtained from a portion and using a functional strategy, is introduced. We approximate iteratively the sought value at the…

Computation and Language · Computer Science 2024-02-06 Manuel Vilares Ferro , Victor M. Darriba Bilbao , Francisco J. Ribadas Pena

Collaboration is crucial for reaching collective goals. However, its effectiveness is often undermined by the strategic behavior of individual agents -- a fact that is captured by a high Price of Stability (PoS) in recent literature [Blum…

Computer Science and Game Theory · Computer Science 2024-11-21 Nika Haghtalab , Mingda Qiao , Kunhe Yang

We add the assumption that players know their opponents' payoff functions and rationality to a model of non-equilibrium learning in signaling games. Agents are born into player roles and play against random opponents every period.…

Theoretical Economics · Economics 2020-01-16 Drew Fudenberg , Kevin He

In this paper, we study the pooled data problem of identifying the labels associated with a large collection of items, based on a sequence of pooled tests revealing the counts of each label within the pool. In the noiseless setting, we…

Machine Learning · Statistics 2017-10-19 Jonathan Scarlett , Volkan Cevher

Neuro-symbolic hybrid systems are promising for integrating machine learning and symbolic reasoning, where perception models are facilitated with information inferred from a symbolic knowledge base through logical reasoning. Despite…

Artificial Intelligence · Computer Science 2024-01-24 Lue Tao , Yu-Xuan Huang , Wang-Zhou Dai , Yuan Jiang

Multiple lines of evidence suggest that predictive models may benefit from algorithmic triage. Under algorithmic triage, a predictive model does not predict all instances but instead defers some of them to human experts. However, the…

Machine Learning · Statistics 2021-11-19 Nastaran Okati , Abir De , Manuel Gomez-Rodriguez

Metaheuristics are general methods that guide application of concrete heuristic(s) to problems that are too hard to solve using exact algorithms. However, even though a growing body of literature has been devoted to their statistical…

Artificial Intelligence · Computer Science 2019-04-02 Miloš Simić

We study agency under partial observability in deterministic physical or simulated worlds, where apparent randomness arises from uncertainty over initial conditions, fixed law bits, and unrolled exogenous noise. We model sensing and…

Artificial Intelligence · Computer Science 2026-05-08 Richard Csaky

As frontier Large Language Models (LLMs) increasingly saturate new benchmarks shortly after they are published, benchmarking itself is at a juncture: if frontier models keep improving, it will become increasingly hard for humans to generate…

A researcher allocates a budget of informative tests across multiple unknown attributes to influence a decision-maker. We derive the researcher's equilibrium learning strategy by solving an auxiliary single-player problem. The attribute…

Theoretical Economics · Economics 2025-11-27 Jean-Michel Benkert , Ludmila Matyskova , Egor Starkov

Reinforcement learning has achieved great success in various applications. To learn an effective policy for the agent, it usually requires a huge amount of data by interacting with the environment, which could be computational costly and…

Machine Learning · Computer Science 2020-06-16 Kun-Peng Ning , Sheng-Jun Huang

Game-theoretic techniques and equilibria analysis facilitate the design and verification of competitive systems. While algorithmic complexity of equilibria computation has been extensively studied, practical implementation and application…

Computer Science and Game Theory · Computer Science 2022-02-02 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

Reliable effort estimation remains an ongoing challenge to software engineers. Accurate effort estimation is the state of art of software engineering, effort estimation of software is the preliminary phase between the client and the…

Software Engineering · Computer Science 2010-04-09 Saleem Basha , Dhavachelvan Ponnurangam

Recommender systems are significant to help people deal with the world of information explosion and overload. In this Letter, we develop a general framework named self-consistent refinement and implement it be embedding two representative…

Data Analysis, Statistics and Probability · Physics 2008-06-10 Jie Ren , Tao Zhou , Yi-Cheng Zhang

Cross-validation is a standard tool for obtaining a honest assessment of the performance of a prediction model. The commonly used version repeatedly splits data, trains the prediction model on the training set, evaluates the model…

Machine Learning · Statistics 2025-10-10 Tianyu Pan , Vincent Z. Yu , Viswanath Devanarayan , Lu Tian

We study a communication game between a sender and a receiver. The sender chooses one of her signals about the state of the world (i.e., anecdotes) and communicates to the receiver who takes an action affecting both players. The sender and…

Theoretical Economics · Economics 2024-07-19 Nika Haghtalab , Nicole Immorlica , Brendan Lucier , Markus Mobius , Divyarthi Mohan

Agentic theorem provers combine a reasoning model, retrieval, search, and a proof assistant verifier, yet it remains unclear which components actually improve finite-budget proof success and why they help on real mathematical workloads. We…

Machine Learning · Statistics 2026-05-26 Sho Sonoda , Shunta Akiyama , Yuya Uezato

As large language models (LLMs) grow more capable, they face increasingly diverse and complex tasks, making reliable evaluation challenging. The paradigm of LLMs as judges has emerged as a scalable solution, yet prior work primarily focuses…

Computation and Language · Computer Science 2025-11-03 Weiyuan Li , Xintao Wang , Siyu Yuan , Rui Xu , Jiangjie Chen , Qingqing Dong , Yanghua Xiao , Deqing Yang

Incentive design problems consider a system planner who steers self-interested agents toward a socially optimal Nash equilibrium by issuing incentives in the presence of information asymmetry, that is, uncertainty about the agents' cost…

Optimization and Control · Mathematics 2026-04-14 Georgios Vasileiou , Lantian Zhang , Silun Zhang