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Related papers: Utility-based acceptability indices

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[Context and motivation:] For realistic self-adaptive systems, multiple quality attributes need to be considered and traded off against each other. These quality attributes are commonly encoded in a utility function, for instance, a…

Software Engineering · Computer Science 2021-03-19 Rebekka Wohlrab , David Garlan

We propose a new class of monetary risk measures for assessing financial and ESG risk. The construction is based on classical shortfall risk measures with loss function replaced by a multi-attribute utility function. We present an extensive…

Risk Management · Quantitative Finance 2026-02-04 Sebastian Geissel , Christoph Knochenhauer

This paper develops an axiomatic framework for ranking metrics, a general class of functionals for evaluating and ordering financial or insurance positions. Unlike traditional risk-adjusted performance measures-such as the Sharpe ratio,…

Risk Management · Quantitative Finance 2026-04-21 Asmerilda Hitaj , Elisa Mastrogiacomo , Ilaria Peri , Marcelo Righi

In this article, we study the generalized modern portfolio theory, with utility functions admitting higher-order cumulants. We establish that under certain genericity conditions, the utility function has a constant number of complex…

Portfolio Management · Quantitative Finance 2025-11-27 Emil Horobet

In this paper we present a theoretical framework for studying coherent acceptability indices in a dynamic setup. We study dynamic coherent acceptability indices and dynamic coherent risk measures, and we establish a duality between them. We…

Risk Management · Quantitative Finance 2011-05-23 Tomasz R. Bielecki , Igor Cialenco , Zhao Zhang

We analyze characteristics' joint predictive information through the lens of out-of-sample power utility functions. Linking weights to characteristics to form optimal portfolios suffers from estimation error which we mitigate by maximizing…

General Finance · Quantitative Finance 2024-02-05 Christopher G. Lamoureux , Huacheng Zhang

We study portfolio selection in a complete continuous-time market where the preference is dictated by the rank-dependent utility. As such a model is inherently time inconsistent due to the underlying probability weighting, we study the…

Mathematical Finance · Quantitative Finance 2020-06-04 Ying Hu , Hanqing Jin , Xun Yu Zhou

Modern portfolio theory(MPT) addresses the problem of determining the optimum allocation of investment resources among a set of candidate assets. In the original mean-variance approach of Markowitz, volatility is taken as a proxy for risk,…

Statistical Mechanics · Physics 2009-11-07 Morrel H. Cohen , Vincent D. Natoli

Ensuring that classifiers are well-calibrated, i.e., their predictions align with observed frequencies, is a minimal and fundamental requirement for classifiers to be viewed as trustworthy. Existing methods for assessing multiclass…

Machine Learning · Computer Science 2025-10-30 Mahmoud Hegazy , Michael I. Jordan , Aymeric Dieuleveut

We revisit the problem of portfolio selection, where an investor maximizes utility subject to a risk constraint. Our framework is very general and accommodates a wide range of utility and risk functionals, including non-concave utilities…

Mathematical Finance · Quantitative Finance 2025-09-15 Leonardo Baggiani , Martin Herdegen , Nazem Khan

Benchmarks in the utility function have various interpretations, including performance guarantees and risk constraints in fund contracts and reference levels in cumulative prospect theory. In most literature, benchmarks are a deterministic…

Optimization and Control · Mathematics 2023-12-05 Zongxia Liang , Yang Liu , Litian Zhang

We consider a multi-stock continuous time incomplete market model with random coefficients. We study the investment problem in the class of strategies which do not use direct observations of the appreciation rates of the stocks, but rather…

Mathematical Finance · Quantitative Finance 2015-02-10 Nikolai Dokuchaev

Portfolio managers often evaluate performance relative to benchmark, usually taken to be the Standard & Poor 500 stock index fund. This relative portfolio wealth is defined as the absolute portfolio wealth divided by wealth from investing…

Portfolio Management · Quantitative Finance 2021-07-23 Andrey Sarantsev

The effectiveness of utility-maximization techniques for portfolio management relies on our ability to estimate correctly the parameters of the dynamics of the underlying financial assets. In the setting of complete or incomplete financial…

Portfolio Management · Quantitative Finance 2008-12-10 Kasper Larsen , Gordan Zitkovic

Real-world engineering systems are typically compared and contrasted using multiple metrics. For practical machine learning systems, performance tuning is often more nuanced than minimizing a single expected loss objective, and it may be…

Optimization and Control · Mathematics 2016-12-19 Ian Dewancker , Michael McCourt , Samuel Ainsworth

The maximum entropy principle can be used to assign utility values when only partial information is available about the decision maker's preferences. In order to obtain such utility values it is necessary to establish an analogy between…

Statistical Finance · Quantitative Finance 2009-11-13 Andreia Dionisio , A. Heitor Reis

Class-level evaluation can conceal substantial performance disparities across subconcepts within the same class, causing models that perform well on average to fail on specific subpopulations. Prior work has shown that common evaluation…

Machine Learning · Computer Science 2026-04-30 Taylor Maxson , Roberto Corizzo , Yaning Wu , Nathalie Japkowicz , Colin Bellinger

The emergence of heterogeneity in high-performance computing, which harnesses under one integrated system several platforms of different architectures, also led to the development of innovative cross-platform programming models. Along with…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-26 Ami Marowka

We consider a single-period portfolio selection problem for an investor, maximizing the expected ratio of the portfolio utility and the utility of a best asset taken in hindsight. The decision rules are based on the history of stock returns…

Portfolio Management · Quantitative Finance 2020-06-11 Dmitry B. Rokhlin

This paper is concerned with portfolio optimization models for creating high-quality lists of recommended items to balance the accuracy and diversity of recommendations. However, the statistics (i.e., expectation and covariance of ratings)…

Information Retrieval · Computer Science 2024-10-01 Tomoya Yanagi , Shunnosuke Ikeda , Yuichi Takano
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