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Many modern machine learning applications, such as multi-task learning, require finding optimal model parameters to trade-off multiple objective functions that may conflict with each other. The notion of the Pareto set allows us to focus on…

Optimization and Control · Mathematics 2022-09-05 Mao Ye , Qiang Liu

Flow matching has emerged as a powerful framework for generative modeling, offering computational advantages over diffusion models by leveraging deterministic Ordinary Differential Equations (ODEs) instead of stochastic dynamics. While…

Machine Learning · Computer Science 2025-03-13 Chengyue Gong , Xiaoyu Li , Yingyu Liang , Jiangxuan Long , Zhenmei Shi , Zhao Song , Yu Tian

It is a high-quality algorithm for hierarchical clustering of large software source code. This effectively allows to break the complexity of tens of millions lines of source code, so that a human software engineer can comprehend a software…

Artificial Intelligence · Computer Science 2012-07-05 Sarge Rogatch

Imitation learning is a data-driven approach to learning policies from expert behavior, but it is prone to unreliable outcomes in out-of-sample (OOS) regions. While previous research relying on stable dynamical systems guarantees…

Machine Learning · Computer Science 2025-03-27 Amin Abyaneh , Mahrokh G. Boroujeni , Hsiu-Chin Lin , Giancarlo Ferrari-Trecate

Recent efforts to learn reward functions from human feedback have tended to use deep neural networks, whose lack of transparency hampers our ability to explain agent behaviour or verify alignment. We explore the merits of learning…

Machine Learning · Computer Science 2022-10-04 Tom Bewley , Jonathan Lawry , Arthur Richards , Rachel Craddock , Ian Henderson

We propose some slight additions to O-O languages to implement the necessary features for using Deductive Object Programming (DOP). This way of programming based upon the manipulation of the Production Tree of the Objects of Interest,…

Software Engineering · Computer Science 2007-05-23 Francois Colonna

Decision Trees (DTs) are commonly used for many machine learning tasks due to their high degree of interpretability. However, learning a DT from data is a difficult optimization problem, as it is non-convex and non-differentiable.…

Machine Learning · Computer Science 2024-08-20 Sascha Marton , Stefan Lüdtke , Christian Bartelt , Heiner Stuckenschmidt

We introduce an order-invariant reinforcement learning framework for black-box combinatorial optimization. Classical estimation-of-distribution algorithms (EDAs) often rely on learning explicit variable dependency graphs, which can be…

Machine Learning · Computer Science 2026-01-30 Olivier Goudet , Quentin Suire , Adrien Goëffon , Frédéric Saubion , Sylvain Lamprier

We propose and study a method for learning interpretable representations for the task of regression. Features are represented as networks of multi-type expression trees comprised of activation functions common in neural networks in addition…

Neural and Evolutionary Computing · Computer Science 2019-03-26 William La Cava , Tilak Raj Singh , James Taggart , Srinivas Suri , Jason H. Moore

We introduce a class of models for multidimensional control problems which we call skip-free Markov decision processes on trees. We describe and analyse an algorithm applicable to Markov decision processes of this type that are skip-free in…

Optimization and Control · Mathematics 2013-11-11 E. J. Collins

We derive high-order compact finite difference schemes for option pricing in stochastic volatility models on non-uniform grids. The schemes are fourth-order accurate in space and second-order accurate in time for vanishing correlation. In…

Computational Finance · Quantitative Finance 2014-05-12 Bertram Düring , Michel Fournié , Christof Heuer

Offline inverse reinforcement learning (Offline IRL) aims to recover the structure of rewards and environment dynamics that underlie observed actions in a fixed, finite set of demonstrations from an expert agent. Accurate models of…

Machine Learning · Computer Science 2024-03-01 Siliang Zeng , Chenliang Li , Alfredo Garcia , Mingyi Hong

We propose randomized subspace gradient methods for high-dimensional constrained optimization. While there have been similarly purposed studies on unconstrained optimization problems, there have been few on constrained optimization problems…

Optimization and Control · Mathematics 2023-07-10 Ryota Nozawa , Pierre-Louis Poirion , Akiko Takeda

Consider the problem of finding an optimal value of some objective functional subject to constraints over numerical domain. This type of problem arises frequently in practical engineering tasks. Nowdays almost all general methods for…

Optimization and Control · Mathematics 2019-09-13 Sergey Karpukhin

We study optimal decision policies for integer linear programs with a fixed feasible set and varying cost vectors, represented as linear decision trees. Once synthesized for a given feasible set, they return an optimal solution for any…

Optimization and Control · Mathematics 2026-05-05 Théo Guyard , Cleber Oliveira , Maximilian Schiffer , Eduardo Uchoa , Thibaut Vidal

Zeroth-order optimization (ZOO) is an important framework for stochastic optimization when gradients are unavailable or expensive to compute. A potential limitation of existing ZOO methods is the bias inherent in most gradient estimators…

Machine Learning · Computer Science 2025-10-24 Shaocong Ma , Heng Huang

Out-Of-Distribution (OOD) generalization is an essential topic in machine learning. However, recent research is only focusing on the corresponding methods for neural networks. This paper introduces a novel and effective solution for OOD…

Machine Learning · Computer Science 2024-01-19 Yufan Liao , Qi Wu , Xing Yan

Learning options that allow agents to exhibit temporally higher order behavior has proven to be useful in increasing exploration, reducing sample complexity and for various transfer scenarios. Deep Discovery of Options (DDO) is a generative…

Machine Learning · Computer Science 2019-08-06 Ameet Deshpande , Harshavardhan Kamarthi , Balaraman Ravindran

We present a tree structure algorithm for optimal control problems with state constraints. We prove a convergence result for a discrete time approximation of the value function based on a novel formulation of the constrained problem. Then…

Numerical Analysis · Mathematics 2020-09-29 Alessandro Alla , Maurizio Falcone , Luca Saluzzi

Approaches to policy optimization have been motivated from diverse principles, based on how the parametric model is interpreted (e.g. value versus policy representation) or how the learning objective is formulated, yet they share a common…

Machine Learning · Computer Science 2022-06-20 Ramki Gummadi , Saurabh Kumar , Junfeng Wen , Dale Schuurmans
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