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arXiv:2306.14297v2 Announce Type: replace-cross Abstract: In healthcare, there is much interest in estimating policies, or mappings from covariates to treatment decisions. Recently, there is also...
arXiv:2312.11797v3 Announce Type: replace-cross Abstract: We study Merton's expected utility maximization problem in an incomplete market, characterized by a factor process in addition to the...
arXiv:2402.06635v2 Announce Type: replace-cross Abstract: We show that a deep neural network (DNN) trained to construct a stochastic discount factor (SDF) admits a sharp additive...
arXiv:2403.16979v2 Announce Type: replace-cross Abstract: This paper considers the infinite horizon optimal control problem for nonlinear systems. Under the condition of nonlinear controllability of the...
arXiv:2407.08828v2 Announce Type: replace-cross Abstract: The rapid pace of development in quantum computing technology has sparked a proliferation of benchmarks for assessing the performance of...
arXiv:2409.04994v2 Announce Type: replace-cross Abstract: We propose a flexible and theoretically supported framework for scalable nonnegative matrix factorization. The goal is to find nonnegative low-rank...
arXiv:2410.17220v2 Announce Type: replace-cross Abstract: This work considers infinite-horizon optimal control of positive linear systems applied to the case of network routing problems. We demonstrate...
arXiv:2410.19921v2 Announce Type: replace-cross Abstract: In the current quantum computing paradigm, significant focus is placed on the reduction or mitigation of quantum decoherence. When designing...
arXiv:2410.22009v4 Announce Type: replace-cross Abstract: This paper addresses the problem of uniqueness in learning physical laws for systems of partial differential equations (PDEs). Contrary to...
arXiv:2411.01629v2 Announce Type: replace-cross Abstract: Adding noise is easy; what about denoising? Diffusion is easy; what about reverting a diffusion? Diffusion-based generative models aim to...
arXiv:2411.04809v2 Announce Type: replace-cross Abstract: Explicit solutions to optimal control problems are rarely obtainable. Of particular interest are the explicit solutions derived for minimax problems,...
arXiv:2411.12159v4 Announce Type: replace-cross Abstract: Deep-space habitats are complex systems that must operate autonomously over extended durations without ground-based maintenance. These systems are vulnerable to...
arXiv:2412.03478v5 Announce Type: replace-cross Abstract: We propose deep learning methods for classical Monge's optimal mass transportation problems, where where the distribution constraint is treated as...
arXiv:2501.01696v2 Announce Type: replace-cross Abstract: Tensors, which give a faithful and effective representation to deliver the intrinsic structure of multi-dimensional data, play a crucial role...
arXiv:2501.03553v2 Announce Type: replace-cross Abstract: Persistent homology (PH) has been widely applied to graph data to extract topological features. However, little attention has been paid...
arXiv:2501.08595v3 Announce Type: replace-cross Abstract: In the context of voting with ranked ballots, an important class of voting rules is the class of margin-based rules...
arXiv:2501.15314v3 Announce Type: replace-cross Abstract: We present a robust and scalable solver for direct-forcing immersed boundary simulations, based on a preconditioned SIMPLE algorithm. The method...
arXiv:2502.03477v3 Announce Type: replace-cross Abstract: We introduce partial Markov categories as a synthetic framework for synthetic probabilistic inference, blending the work of Cho and Jacobs,...
arXiv:2502.12581v4 Announce Type: replace-cross Abstract: Reliably labelling data typically requires annotations from multiple human workers. However, humans are far from being perfect. Hence, it is...
arXiv:2502.13869v3 Announce Type: replace-cross Abstract: Variable aggregation has been largely studied as an important pre-solve algorithm for optimization of linear and mixed-integer programs. Although some...
arXiv:2503.15743v3 Announce Type: replace-cross Abstract: Quantum sensing holds great promise for high-precision magnetic field measurements. However, its performance is significantly limited by noise. The investigation...
arXiv:2504.18367v2 Announce Type: replace-cross Abstract: The kinetics and dynamics of drug-protein binding and dissociation are crucial to understanding drug absorption and metabolism. Despite advances in...
arXiv:2505.20754v2 Announce Type: replace-cross Abstract: Approximation of a target probability distribution using a finite set of points is a problem of fundamental importance in numerical...
arXiv:2505.21723v2 Announce Type: replace-cross Abstract: In the era of AI, neural networks have become increasingly popular for modeling, inference, and prediction, largely due to their...