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We consider an optimal stochastic impulse control problem over an infinite time horizon motivated by a model of irreversible investment choices with fixed adjustment costs. By employing techniques of viscosity solutions and relying on…

Optimization and Control · Mathematics 2019-02-05 Salvatore Federico , Mauro Rosestolato , Elisa Tacconi

In domains such as finance, healthcare, and robotics, managing worst-case scenarios is critical, as failure to do so can lead to catastrophic outcomes. Distributional Reinforcement Learning (DRL) provides a natural framework to incorporate…

Machine Learning · Computer Science 2026-02-13 Mehrdad Moghimi , Hyejin Ku

Data-Augmentation (DA) is known to improve performance across tasks and datasets. We propose a method to theoretically analyze the effect of DA and study questions such as: how many augmented samples are needed to correctly estimate the…

Machine Learning · Computer Science 2022-02-18 Randall Balestriero , Ishan Misra , Yann LeCun

This paper introduces two novel modifications to the Dynamic sAmpling Policy Optimization (DAPO) algorithm [1], approached from a mixed-policy perspective. Standard policy gradient methods can suffer from instability and sample…

Machine Learning · Computer Science 2025-08-20 Hongze Tan , Yuchen Li

This paper aims to investigate the effectiveness of the recently proposed Boosted Difference of Convex functions Algorithm (BDCA) when applied to clustering with constraints and set clustering with constraints problems. This is the first…

Optimization and Control · Mathematics 2023-10-24 Tuyen Tran , Kate Figenschou , Phan Tu Vuong

We develop a new randomized iterative algorithm---stochastic dual ascent (SDA)---for finding the projection of a given vector onto the solution space of a linear system. The method is dual in nature: with the dual being a non-strongly…

Numerical Analysis · Mathematics 2016-01-29 Robert Mansel Gower , Peter Richtarik

High false-positive rate is a long-standing challenge for anomaly detection algorithms, especially in high-stake applications. To identify the true anomalies, in practice, analysts or domain experts will be employed to investigate the top…

Machine Learning · Computer Science 2020-09-17 Daochen Zha , Kwei-Herng Lai , Mingyang Wan , Xia Hu

The discrete-dipole approximation (DDA) is a flexible technique for computing scattering and absorption by targets of arbitrary geometry. In this paper we perform systematic study of various non-stationary iterative (conjugate gradient)…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Piotr J. Flatau

Recent works have shown that depth information can be obtained from Dual-Pixel (DP) sensors. A DP arrangement provides two views in a single shot, thus resembling a stereo image pair with a tiny baseline. However, the different point spread…

Computer Vision and Pattern Recognition · Computer Science 2023-06-14 Sagi Monin , Sagi Katz , Georgios Evangelidis

Machine learning is central to empirical asset pricing, but portfolio construction still relies on point predictions and largely ignores asset-specific estimation uncertainty. We propose a simple change: sort assets using…

Portfolio Management · Quantitative Finance 2026-01-05 Yan Liu , Ye Luo , Zigan Wang , Xiaowei Zhang

The Detrending Moving Average (DMA) algorithm has been widely used in its several variants for characterizing long-range correlations of random signals and sets (one-dimensional sequences or high-dimensional arrays) either over time or…

Data Analysis, Statistics and Probability · Physics 2016-07-01 Anna Carbone , Ken Kiyono

First-order stochastic optimization methods are currently the most widely used class of methods for training deep neural networks. However, the choice of the optimizer has become an ad-hoc rule that can significantly affect the performance.…

Machine Learning · Computer Science 2020-10-21 Samy Jelassi , Aaron Defazio

Averaging scheme has attracted extensive attention in deep learning as well as traditional machine learning. It achieves theoretically optimal convergence and also improves the empirical model performance. However, there is still a lack of…

Machine Learning · Computer Science 2021-01-19 Wei Tao , Wei Li , Zhisong Pan , Qing Tao

Stochastic Dual Coordinate Ascent is a popular method for solving regularized loss minimization for the case of convex losses. We describe variants of SDCA that do not require explicit regularization and do not rely on duality. We prove…

Machine Learning · Computer Science 2016-05-24 Shai Shalev-Shwartz

We introduce a new approach to apply the boosted difference of convex functions algorithm (BDCA) for solving non-convex and non-differentiable problems involving difference of two convex functions (DC functions). Supposing the first DC…

Optimization and Control · Mathematics 2022-06-22 Orizon P. Ferreira , Elianderson M. Santos , João Carlos O. Souza

Deep Research Agents (DRAs) are promising agentic systems that gather and synthesize information to support research across domains such as financial decision-making, medical analysis, and scientific discovery. Despite recent improvements…

Artificial Intelligence · Computer Science 2026-02-27 Haotian Zhai , Elias Stengel-Eskin , Pratik Patil , Liu Leqi

The DCA$^+$ algortihm was recently introduced to extend the dynamic cluster approximation (DCA) with a continuous lattice self-energy in order to achieve better convergence with cluster size. Here we extend the DCA$^+$ algorithm to the…

Strongly Correlated Electrons · Physics 2015-06-18 Peter Staar , Thomas Maier , Thomas Schulthess

Given a geometric Brownian motion wealth process, a log-Normal lower bound is constructed for the returns of a regular investing schedule. The distribution parameters of this bound are computed recursively. For dollar cost averaging (equal…

Mathematical Finance · Quantitative Finance 2023-03-21 Hayden Brown

Deep hedging trains neural networks to manage derivative risk under market frictions, but produces hedge ratios with no measure of model confidence -- a significant barrier to deployment. We introduce uncertainty quantification to the deep…

Computational Finance · Quantitative Finance 2026-03-12 Manan Poddar

While the investors' responses to price changes and their price forecasts are well accepted major factors contributing to large price fluctuations in financial markets, our study shows that investors' heterogeneous and dynamic risk aversion…

Physics and Society · Physics 2008-12-02 Baosheng Yuan , Kan Chen