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Related papers: Corrigendum to "Managerial Incentive Problems: A D…

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Correction for Adv. in Appl. Probab. 37, no. 3 (2005), 571-603

Probability · Mathematics 2007-05-23 E. Arias-Castro , D. L. Donoho , X. Huo , C. A. Tovey

Markov decision processes are useful models of concurrency optimisation problems, but are often intractable for exhaustive verification methods. Recent work has introduced lightweight approximative techniques that sample directly from…

Logic in Computer Science · Computer Science 2015-03-24 Axel Legay , Sean Sedwards , Louis-Marie Traonouez

The equations in cond-mat/0011020 and Phys. Rev, Lett. 86, 4652 (2001) are valid but a numerical estimate in the paper is incorrect.

Superconductivity · Physics 2009-11-07 C. M. Varma , Elihu Abrahams

In this paper, we study the problem of cost optimisation of individual-based institutional incentives (reward, punishment, and hybrid) for guaranteeing a certain minimal level of cooperative behaviour in a well-mixed, finite population. In…

Populations and Evolution · Quantitative Biology 2024-07-30 M. H. Duong , C. M. Durbac , T. A. Han

In the article "Stochastic evolution equations for large portfolios of Stochastic Volatility models" (Arxiv:1701.05640) there is a mistake in the proof of Theorem 3.1. In this erratum we establish a weaker version of this Theorem and then…

Probability · Mathematics 2019-09-30 Ben Hambly , Nikolaos Kolliopoulos

Some years ago I demonstrated a simulated annealing heuristic for the Hamiltonian cycle problem (Science 273, 413 (1996)). Here I propose an improved version of this heuristic.

Computational Physics · Physics 2007-05-23 E. L. Altschuler

The numerical values in the sixth and seventh columns of table 1 of the paper Molec. Phys., 1999, 96, 1185-1188 are not correct. Consequently, some of the comments made in the paper are wrong. The corrected version of table 1 is reprinted…

Statistical Mechanics · Physics 2008-09-18 A. Santos

Some mistaken reasonings at the end of the paper omitted.

High Energy Physics - Theory · Physics 2009-10-22 F. A. Smirnov

We appended an errata to the original submission. The purpose of this errata is to point out two errors in [2] and give a weakened version of those statements made.

Probability · Mathematics 2024-07-02 Erhan Bayraktar , Gaoyue Guo

Outcome-rewarded Large Language Models (LLMs) have demonstrated remarkable success in mathematical problem-solving. However, this success often masks a critical issue: models frequently achieve correct answers through fundamentally unsound…

Computation and Language · Computer Science 2025-06-25 Jiaxing Guo , Wenjie Yang , Shengzhong Zhang , Tongshan Xu , Lun Du , Da Zheng , Zengfeng Huang

Prompt optimization aims to find the best prompt to a large language model (LLM) for a given task. LLMs have been successfully used to help find and improve prompt candidates for single-step tasks. However, realistic tasks for agents are…

Computation and Language · Computer Science 2024-10-04 Yongchao Chen , Jacob Arkin , Yilun Hao , Yang Zhang , Nicholas Roy , Chuchu Fan

We study estimation and statistical inference for reward models used in aligning large language models (LLMs). A key component of LLM alignment is reinforcement learning from human feedback (RLHF), where humans compare pairs of…

Machine Learning · Statistics 2025-12-04 Pangpang Liu , Junwei Lu , Will Wei Sun

We provide an amendment to the first theorem of "Control Contraction Metrics: Convex and Intrinsic Criteria for Nonlinear Feedback Design" by Manchester & Slotine in the form of an additional technical condition required to show…

Systems and Control · Computer Science 2017-11-23 Ian R. Manchester , Thomas L. Chaffey

Two algorithms are proposed, analyzed, and tested for solving continuous optimization problems with nonlinear equality constraints. Each is an extension of a stochastic momentum-based method from the unconstrained setting to the setting of…

Optimization and Control · Mathematics 2026-01-21 Qi Wang , Christian Piermarini , Yunlang Zhu , Frank E. Curtis

Estimate (3.39) which appears in the proof of Proposition 3.4 in [Ann. Probab. 27 (1999) 1414--1467, doi:10.1214/aop/1022677454] is wrong. We present below a corrected proof which introduces an extra factor 2 in equations (3.34) and (3.35).…

Probability · Mathematics 2007-05-23 Marzio Cassandro , Enza Orlandi , Pierre Picco

The alignment of large language models (LLMs) with human values is critical as these models become increasingly integrated into various societal and decision-making processes. Traditional methods, such as reinforcement learning from human…

Machine Learning · Computer Science 2025-01-08 Prashant Trivedi , Souradip Chakraborty , Avinash Reddy , Vaneet Aggarwal , Amrit Singh Bedi , George K. Atia

We explain and correct a mistake in Section 2.6 and Appendix C of the first and second author's paper "Representation Growth and Rational Singularities of the Moduli Space of Local Systems" arXiv:1307.0371.

Algebraic Geometry · Mathematics 2022-04-12 Avraham Aizenbud , Nir Avni , Roberto Rubio

S.E. Hans paper, Remarks on Pseudocovering Spaces in a Digital Topological Setting: A Corrigendum, is meant to address errors in previous papers. However, this paper is also marked by errors in its mathematics, as well as improprieties in…

Geometric Topology · Mathematics 2026-05-22 Laurence Boxer

Recent work in the behavioural sciences has begun to overturn the long-held belief that human decision making is irrational, suboptimal and subject to biases. This turn to the rational suggests that human decision making may be a better…

Machine Learning · Computer Science 2020-06-09 Haiyang Chen , Hyung Jin Chang , Andrew Howes

When considering stochastic integration and the theory of stochastic differential equations, P. Protter's textbook \cite{protter} undoubtedly is a main piece of standard literature. Not only is it well-written, but it also contains various…

Probability · Mathematics 2024-03-20 Sebastian Rickelhoff , Alexander Schnurr