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We establish existence of Predictable Forward Performance Processes (PFPPs) in complete markets, which has been previously shown only in the binomial setting. Our market model can be a discrete-time or a continuous-time model, and the…

Portfolio Management · Quantitative Finance 2022-09-22 Bahman Angoshtari

We introduce predictable relative forward performance processes (PRFPP) as a new framework for studying portfolio management within a competitive and incomplete market environment. Each agent trades a distinct stock following a binomial…

Mathematical Finance · Quantitative Finance 2026-05-08 Gechun Liang , Moris S. Strub , Yuwei Wang

We introduce the concept of forward rank-dependent performance processes, extending the original notion to forward criteria that incorporate probability distortions. A fundamental challenge is how to reconcile the time-consistent nature of…

Mathematical Finance · Quantitative Finance 2019-04-04 Xue Dong He , Moris S. Strub , Thaleia Zariphopoulou

This paper introduces a novel meta-learning algorithm for time series forecast model performance prediction. We model the forecast error as a function of time series features calculated from the historical time series with an efficient…

Applications · Statistics 2022-07-11 Thiyanga S. Talagala , Feng Li , Yanfei Kang

We introduce a new class of forward performance processes that are endogenous and predictable with regards to an underlying market information set and, furthermore, are updated at discrete times. We analyze in detail a binomial model whose…

Mathematical Finance · Quantitative Finance 2019-03-20 Bahman Angoshtari , Thaleia Zariphopoulou , Xun Yu Zhou

We study a portfolio management problem featuring many-player and mean field competition, investment and consumption, and relative performance concerns under the forward performance processes (FPP) framework. We focus on agents using power…

General Economics · Economics 2022-03-07 Goncalo dos Reis , Vadim Platonov

We study the forward investment performance process (FIPP) in an incomplete semimartingale market model with closed and convex portfolio constraints, when the investor's risk preferences are of the power form. We provide necessary and…

Portfolio Management · Quantitative Finance 2022-01-27 Lijun Bo , Agostino Capponi , Chao Zhou

We study discrete-time predictable forward processes when trading times do not coincide with performance evaluation times in a binomial tree model for the financial market. The key step in the construction of these processes is to solve a…

Mathematical Finance · Quantitative Finance 2023-12-05 Gechun Liang , Moris S. Strub , Yuwei Wang

The forward order assumption postulates that the ranking process of the items is carried out by sequentially assigning the positions from the top (most-liked) to the bottom (least-liked) alternative. This assumption has been recently…

Methodology · Statistics 2020-03-17 Cristina Mollica , Luca Tardella

Time-series forecasting is a critical challenge in various domains and has witnessed substantial progress in recent years. Many real-life scenarios, such as public health, economics, and social applications, involve feedback loops where…

Machine Learning · Computer Science 2025-06-04 Zhiyuan Zhao , Haoxin Liu , Alexander Rodriguez , B. Aditya Prakash

Fictitious play (FP) is a canonical game-theoretic learning algorithm which has been deployed extensively in decentralized control scenarios. However standard treatments of FP, and of many other game-theoretic models, assume rather…

Optimization and Control · Mathematics 2016-09-29 Brian Swenson , Soummya Kar , João Xavier , David S. Leslie

The fixed parameter tractable (FPT) approach is a powerful tool in tackling computationally hard problems. In this paper, we link FPT results to classic artificial intelligence (AI) techniques to show how they complement each other.…

Artificial Intelligence · Computer Science 2019-07-24 Daniel Karapetyan , Andrew J. Parkes , Gregory Gutin , Andrei Gagarin

We study the forward investment performance process (FIPP) in an incomplete semimartingale market model with closed and convex portfolio constraints, when the investor's risk preferences are of the power form. We provide necessary and…

Probability · Mathematics 2022-01-27 Lijun Bo , Agostino Capponi , Chao Zhou

Learning from Preferential Feedback (LfPF) plays an essential role in training Large Language Models, as well as certain types of interactive learning agents. However, a substantial gap exists between the theory and application of LfPF…

Machine Learning · Computer Science 2024-03-29 Jonathan Colaço Carr , Prakash Panangaden , Doina Precup

When predictions are performative, the choice of which predictor to deploy influences the distribution of future observations. The overarching goal in learning under performativity is to find a predictor that has low \emph{performative…

Machine Learning · Computer Science 2024-05-29 Licong Lin , Tijana Zrnic

I develop a feasible weighted projected principal component (FPPC) analysis for factor models in which observable characteristics partially explain the latent factors. This novel method provides more efficient and accurate estimators than…

Econometrics · Economics 2022-05-23 Sung Hoon Choi

Practitioners designing reinforcement learning policies face a fundamental challenge: translating intended behavioral objectives into representative reward functions. This challenge stems from behavioral intent requiring simultaneous…

Machine Learning · Computer Science 2025-11-05 Bassel El Mabsout , Abdelrahman Abdelgawad , Renato Mancuso

Determinantal point processes (DPPs) are an elegant model for encoding probabilities over subsets, such as shopping baskets, of a ground set, such as an item catalog. They are useful for a number of machine learning tasks, including product…

Machine Learning · Statistics 2016-08-17 Mike Gartrell , Ulrich Paquet , Noam Koenigstein

Task-based programming models are emerging as a promising alternative to make the most of multi-/many-core systems. These programming models rely on runtime systems, and their goal is to improve application performance by properly…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-24 Antoni Navarro , Arthur F. Lorenzon , Eduard Ayguadé , Vicenç Beltran

We consider the problem of optimal portfolio selection under forward investment performance criteria in an incomplete market. Given multiple traded assets, the prices of which depend on multiple observable stochastic factors, we construct a…

Mathematical Finance · Quantitative Finance 2018-05-15 Levon Avanesyan , Mykhaylo Shkolnikov , Ronnie Sircar
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