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A formalized and quantifiable responsibility score is a crucial component in many aspects of the development and application of multi-agent systems and autonomous agents. We can employ it to inform decision making processes based on ethical…

Computer Science and Game Theory · Computer Science 2022-09-16 Sarah Hiller , Jonas Israel , Jobst Heitzig

We investigate feasible computation over a fairly general notion of data and codata. Specifically, we present a direct Bellantoni-Cook-style normal/safe typed programming formalism, RS1, that expresses feasible structural recursions and…

Logic in Computer Science · Computer Science 2012-01-31 Norman Danner , James S. Royer

Given a robust model trained to be resilient to one or multiple types of distribution shifts (e.g., natural image corruptions), how is that "robustness" encoded in the model weights, and how easily can it be disentangled and/or "zero-shot"…

Machine Learning · Computer Science 2023-02-27 Ruisi Cai , Zhenyu Zhang , Zhangyang Wang

Axiomatic information retrieval (IR) seeks a set of principle properties desirable in IR models. These properties when formally expressed provide guidance in the search for better relevance estimation functions. Neural ranking models…

Information Retrieval · Computer Science 2019-04-16 Corby Rosset , Bhaskar Mitra , Chenyan Xiong , Nick Craswell , Xia Song , Saurabh Tiwary

The conditional mean risk-sharing (CMRS) rule is an important tool for distributing aggregate losses across individual risks, but its implementation in continuous multivariate models typically requires complicated multidimensional…

Statistics Theory · Mathematics 2026-03-03 Christopher Blier-Wong

Random serial dictatorship (RSD) is a randomized assignment rule that - given a set of $n$ agents with strict preferences over $n$ houses - satisfies equal treatment of equals, ex post efficiency, and strategyproofness. For $n \le 3$,…

Theoretical Economics · Economics 2024-07-12 Felix Brandt , Matthias Greger , René Romen

Prior knowledge on properties of a target model often come as discrete or combinatorial descriptions. This work provides a unified computational framework for defining norms that promote such structures. More specifically, we develop…

Machine Learning · Statistics 2019-04-11 Amin Jalali , Adel Javanmard , Maryam Fazel

Information exchange systems differ in many ways, but all share a common vulnerability to selfish behavior and free-riding. In this paper, we build incentives schemes based on social norms. Social norms prescribe a social strategy for the…

Computer Science and Game Theory · Computer Science 2012-11-13 Jie Xu , Mihaela van der Schaar

Consider supervised learning from i.i.d. samples $\{{\boldsymbol x}_i,y_i\}_{i\le n}$ where ${\boldsymbol x}_i \in\mathbb{R}^p$ are feature vectors and ${y} \in \mathbb{R}$ are labels. We study empirical risk minimization over a class of…

Statistics Theory · Mathematics 2022-11-01 Andrea Montanari , Basil Saeed

We characterize those ex-ante restrictions on the random utility model which lead to identification. We first identify a simple class of perturbations which transfer mass from a suitable pair of preferences to the pair formed by swapping…

Theoretical Economics · Economics 2024-08-14 Peter P. Caradonna , Christopher Turansick

Random permutations with distribution conditionally uniform given the set of record values can be generated in a unified way, coherently for all values of $n$. Our central example is a two-parameter family of random permutations that are…

Probability · Mathematics 2007-05-23 Alexander Gnedin

We prove uniform consistency of Random Survival Forests (RSF), a newly introduced forest ensemble learner for analysis of right-censored survival data. Consistency is proven under general splitting rules, bootstrapping, and random selection…

Statistics Theory · Mathematics 2008-11-19 Hemant Ishwaran , Udaya B. Kogalur

Conditional risk minimization arises in high-stakes decisions where risk must be assessed in light of side information, such as stressed economic conditions, specific customer profiles, or other contextual covariates. Constructing reliable…

Machine Learning · Statistics 2025-09-30 Xinqiao Xie , Jonathan Yu-Meng Li

Systemic risk is receiving increasing attention in the insurance industry. In this paper, we propose a multi-dimensional L\'{e}vy process-based renewal risk model with heterogeneous insurance claims, where every dimension indicates a…

Risk Management · Quantitative Finance 2025-12-17 Bingzhen Geng , Yang Liu , Hongfu Wan

Given a set of $n$ individuals with strict preferences over $m$ indivisible objects, the Random Serial Dictatorship (RSD) mechanism is a method for allocating objects to individuals in a way that is efficient, fair, and…

Theoretical Economics · Economics 2026-02-03 Maor Ben Zaquen , Ron Holzman

Different prediction models might perform equally well (Rashomon set) in the same task, but offer conflicting interpretations and conclusions about the data. The Rashomon effect in the context of Explainable AI (XAI) has been recognized as…

Machine Learning · Computer Science 2024-07-29 Sichao Li , Amanda S. Barnard , Quanling Deng

This paper analyzes single-item continuous-review inventory models with random supplies in which the inventory dynamic between orders is described by a diffusion process, and a long-term average cost criterion is used to evaluate decisions.…

Optimization and Control · Mathematics 2024-02-07 K. L. Helmes , R. H. Stockbridge , C. Zhu

This paper develops a decomposition of standard Risk Contribution (RC) into two economically interpretable components: inherent risk and correlation risk. Using a leave-one-out representation, each position's RC separates into a term…

Risk Management · Quantitative Finance 2026-04-14 Nolan Alexander , Frank Fabozzi

The Invariant Risk Minimization (IRM) framework aims to learn invariant features from a set of environments for solving the out-of-distribution (OOD) generalization problem. The underlying assumption is that the causal components of the…

Machine Learning · Computer Science 2021-12-28 Moulik Choraria , Ibtihal Ferwana , Ankur Mani , Lav R. Varshney

Prediction markets are well-studied in the case where predictions are probabilities or expectations of future random variables. In 2008, Lambert, et al. proposed a generalization, which we call "scoring rule markets" (SRMs), in which…

Computer Science and Game Theory · Computer Science 2017-09-29 Rafael Frongillo , Bo Waggoner