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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

We consider the filtering problem of estimating a hidden random variable $X$ by noisy observations. The noisy observation process is constructed by a randomised Markov bridge (RMB) $(Z_t)_{t\in [0,T]}$ of which terminal value is set to…

Probability · Mathematics 2019-12-17 Andrea Macrina , Jun Sekine

The problem of structured matrix estimation has been studied mostly under strong noise dependence assumptions. This paper considers a general framework of noisy low-rank-plus-sparse matrix recovery, where the noise matrix may come from any…

Machine Learning · Statistics 2025-04-07 Jinhang Chai , Jianqing Fan

In many sequential decision-making problems one is interested in minimizing an expected cumulative cost while taking into account \emph{risk}, i.e., increased awareness of events of small probability and high consequences. Accordingly, the…

Artificial Intelligence · Computer Science 2017-04-07 Yinlam Chow , Mohammad Ghavamzadeh , Lucas Janson , Marco Pavone

Coordinated multi-robot motion planning at intersections is key for safe mobility in roads, factories and warehouses. The rapidly exploring random tree (RRT) algorithms are popular in multi-robot motion planning. However, generating the…

Robotics · Computer Science 2024-12-03 Victor Parque

While many techniques have been developed for chance constrained stochastic optimal control with Gaussian disturbance processes, far less is known about computationally efficient methods to handle non-Gaussian processes. In this paper, we…

Systems and Control · Electrical Eng. & Systems 2023-03-23 Shawn Priore , Meeko Oishi

Optimization problems with set submodular objective functions have many real-world applications. In discrete scenarios, where the same item can be selected more than once, the domain is generalized from a 2-element set to a bounded integer…

Data Structures and Algorithms · Computer Science 2021-11-22 Alberto Schiabel , Vyacheslav Kungurtsev , Jakub Marecek

In random allocation rules, typically first an optimal fractional point is calculated via solving a linear program. The calculated point represents a fractional assignment of objects or more generally packages of objects to agents. In order…

Computer Science and Game Theory · Computer Science 2016-08-16 Salman Fadaei

In this paper, we deal with several aspects of the universal Frolov cubature method, that is known to achieve optimal asymptotic convergence rates in a broad range of function spaces. Even though every admissible lattice has this favorable…

Numerical Analysis · Mathematics 2018-02-26 Christopher Kacwin , Jens Oettershagen , Mario Ullrich , Tino Ullrich

We study the optimization of the expected long-term reward in finite partially observable Markov decision processes over the set of stationary stochastic policies. In the case of deterministic observations, also known as state aggregation,…

Optimization and Control · Mathematics 2022-11-18 Mareike Dressler , Marina Garrote-López , Guido Montúfar , Johannes Müller , Kemal Rose

We model stochastic choice as environment-dependent switching among a small library of deterministic decision rules. A Random Rule Model generates menu-level choice probabilities via named, interpretable rules weighted by observable menu…

General Economics · Economics 2026-04-15 Avner Seror

We consider estimation of the covariance matrix of a multivariate random vector under the constraint that certain covariances are zero. We first present an algorithm, which we call Iterative Conditional Fitting, for computing the maximum…

Statistics Theory · Mathematics 2010-03-04 Sanjay Chaudhuri , Mathias Drton , Thomas S. Richardson

The study of a machine learning problem is in many ways is difficult to separate from the study of the loss function being used. One avenue of inquiry has been to look at these loss functions in terms of their properties as scoring rules…

Machine Learning · Computer Science 2022-09-02 Zac Cranko , Robert C. Williamson , Richard Nock

This paper presents a total Lagrangian mixed Petrov-Galerkin finite element formulation that provides a computationally efficient approach for analyzing Cosserat rods that is free of singularities and locking. To achieve a singularity-free…

In this paper, we investigate the problem of classifying feature vectors with mutually independent but non-identically distributed elements. First, we show the importance of this problem. Next, we propose a classifier and derive an…

Machine Learning · Computer Science 2021-09-01 Farzad Shahrivari , Nikola Zlatanov

In both industrial and service domains, a central benefit of the use of robots is their ability to quickly and reliably execute repetitive tasks. However, even relatively simple peg-in-hole tasks are typically subject to stochastic…

Robotics · Computer Science 2023-07-28 Benjamin Alt , Darko Katic , Rainer Jäkel , Michael Beetz

In this work, we address optimization problems where the objective function is a nonlinear function of an expected value, i.e., compositional stochastic {strongly convex programs}. We consider the case where the decision variable is not…

Optimization and Control · Mathematics 2020-11-30 Amrit Singh Bedi , Alec Koppel , Ketan Rajawat , Panchajanya Sanyal

Many problems in computer vision and recommender systems involve low-rank matrices. In this work, we study the problem of finding the maximum entry of a stochastic low-rank matrix from sequential observations. At each step, a learning agent…

Machine Learning · Computer Science 2017-12-14 Branislav Kveton , Csaba Szepesvari , Anup Rao , Zheng Wen , Yasin Abbasi-Yadkori , S. Muthukrishnan

Chance-constrained problems involve stochastic components in the constraints which can be violated with a small probability. We investigate the impact of different types of chance constraints on the performance of iterative search…

Neural and Evolutionary Computing · Computer Science 2024-05-30 Saba Sadeghi Ahouei , Jacob de Nobel , Aneta Neumann , Thomas Bäck , Frank Neumann

In this work, a method of random parameters generation for randomized learning of a single-hidden-layer feedforward neural network is proposed. The method firstly, randomly selects the slope angles of the hidden neurons activation functions…

Machine Learning · Computer Science 2019-08-16 Grzegorz Dudek