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By means of the techniques of Boolean valued analysis, we provide a transfer principle between duality theory of classical convex risk measures and duality theory of conditional risk measures. Namely, a conditional risk measure can be…

Functional Analysis · Mathematics 2019-10-09 José Miguel Zapata

Strongly log-concave (SLC) distributions are a rich class of discrete probability distributions over subsets of some ground set. They are strictly more general than strongly Rayleigh (SR) distributions such as the well-known determinantal…

Machine Learning · Computer Science 2019-06-14 Joshua Robinson , Suvrit Sra , Stefanie Jegelka

We propose a novel conditional diffusion model for contextual portfolio optimization that learns the cross-sectional distribution of next-day stock returns conditioned on high-dimensional asset-specific factors. Our model leverages a…

Portfolio Management · Quantitative Finance 2026-04-17 Xuefeng Gao , Mengying He , Xuedong He

Future prediction is a fundamental principle of intelligence that helps plan actions and avoid possible dangers. As the future is uncertain to a large extent, modeling the uncertainty and multimodality of the future states is of great…

Computer Vision and Pattern Recognition · Computer Science 2020-06-09 Osama Makansi , Eddy Ilg , Özgün Cicek , Thomas Brox

Score matching is an alternative to maximum likelihood (ML) for estimating a probability distribution parametrized up to a constant of proportionality. By fitting the ''score'' of the distribution, it sidesteps the need to compute this…

Machine Learning · Computer Science 2023-06-06 Chirag Pabbaraju , Dhruv Rohatgi , Anish Sevekari , Holden Lee , Ankur Moitra , Andrej Risteski

In safety-critical decision-making, the environment may evolve over time, and the learner adjusts its risk level accordingly. This work investigates risk-averse online optimization in dynamic environments with varying risk levels, employing…

Optimization and Control · Mathematics 2025-12-30 Siyi Wang , Zifan Wang , Karl H. Johansson

This paper proposes a maximum-likelihood approach to jointly estimate marginal conditional quantiles of multivariate response variables in a linear regression framework. We consider a slight reparameterization of the Multivariate Asymmetric…

Methodology · Statistics 2018-08-06 Lea Petrella , Valentina Raponi

Reliable forecasting of the future behavior of road agents is a critical component to safe planning in autonomous vehicles. Here, we represent continuous trajectories as sequences of discrete motion tokens and cast multi-agent motion…

Computer Vision and Pattern Recognition · Computer Science 2023-09-29 Ari Seff , Brian Cera , Dian Chen , Mason Ng , Aurick Zhou , Nigamaa Nayakanti , Khaled S. Refaat , Rami Al-Rfou , Benjamin Sapp

We describe here a framework for a certain class of multiscale likelihood factorizations wherein, in analogy to a wavelet decomposition of an L^2 function, a given likelihood function has an alternative representation as a product of…

Statistics Theory · Mathematics 2007-06-13 Eric D. Kolaczyk , Robert D. Nowak

The quantification and inference of predictive importance for exposure covariates have recently gained significant attention in the context of interpretable machine learning. Contemporary scientific investigations often involve data…

Methodology · Statistics 2024-12-31 Zitao Wang , Nian Si , Zijian Guo , Molei Liu

Maximum likelihood estimation (MLE) is a fundamental computational problem in statistics. In this paper, MLE for statistical models with discrete data is studied from an algebraic statistics viewpoint. A reformulation of the MLE problem in…

Statistics Theory · Mathematics 2014-05-27 Jose Israel Rodriguez

The need to condition distributional properties such as expectation, variance, and entropy arises in algorithmic fairness, model simplification, robustness and many other areas. At face value however, distributional properties are not…

Programming Languages · Computer Science 2019-03-27 Zenna Tavares , Xin Zhang , Edgar Minaysan , Javier Burroni , Rajesh Ranganath , Armando Solar Lezama

We benchmark the robustness of maximum likelihood based uncertainty estimation methods to outliers in training data for regression tasks. Outliers or noisy labels in training data results in degraded performances as well as incorrect…

Machine Learning · Computer Science 2022-02-09 Deebul S. Nair , Nico Hochgeschwender , Miguel A. Olivares-Mendez

Clustered data is ubiquitous in a variety of scientific fields. In this paper, we propose a flexible and interpretable modeling approach, called grouped heterogenous mixture modeling, for clustered data, which models cluster-wise…

Methodology · Statistics 2020-02-10 Shonosuke Sugasawa

Accurate survival prediction from multimodal medical data is essential for precision oncology, yet clinical deployment faces a persistent challenge: modalities are frequently incomplete due to cost constraints, technical limitations, or…

Computer Vision and Pattern Recognition · Computer Science 2026-03-30 Kyungwon Kim , Dosik Hwang

The European insurance sector will soon be faced with the application of Solvency 2 regulation norms. It will create a real change in risk management practices. The ORSA approach of the second pillar makes the capital allocation an…

Risk Management · Quantitative Finance 2015-06-15 Véronique Maume-Deschamps , Didier Rullière , Khalil Said

In this paper, we study the maximum likelihood estimation of the parameters of the multivariate and matrix variate symmetric Laplace distributions through group actions. The multivariate and matrix variate symmetric Laplace distributions…

Statistics Theory · Mathematics 2025-10-31 Pooja Yadav , Tanuja Srivastava

We consider deep multivariate models for heterogeneous collections of random variables. In the context of computer vision, such collections may e.g. consist of images, segmentations, image attributes, and latent variables. When developing…

Machine Learning · Computer Science 2026-02-03 Dmitrij Schlesinger , Boris Flach , Alexander Shekhovtsov

We introduce a distributional method for learning the optimal policy in risk averse Markov decision process with finite state action spaces, latent costs, and stationary dynamics. We assume sequential observations of states, actions, and…

Machine Learning · Computer Science 2023-03-01 Ziteng Cheng , Sebastian Jaimungal , Nick Martin

Multi-instance partial-label learning (MIPL) is an emerging learning framework where each training sample is represented as a multi-instance bag associated with a candidate label set. Existing MIPL algorithms often overlook the margins for…

Machine Learning · Computer Science 2025-01-23 Wei Tang , Yin-Fang Yang , Zhaofei Wang , Weijia Zhang , Min-Ling Zhang