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Constraints can be interpreted in a broad sense as any kind of explicit restriction over the parameters. While some constraints are defined directly on the parameter space, when they are instead defined by known behaviour on the model,…

统计方法学 · 统计学 2015-02-27 Shirin Golchi , David A. Campbell

We present a novel approach to enhance the performance of sampling-based Model Predictive Control (MPC) in constrained optimization by leveraging products of experts. Our methodology divides the main problem into two components: one focused…

机器人学 · 计算机科学 2026-01-16 Amirreza Razmjoo , Teng Xue , Suhan Shetty , Sylvain Calinon

We present a comprehensive analysis of an algorithm for evaluating high-dimensional polynomials that are invariant under permutations and rotations. The key bottleneck is the contraction of a high-dimensional symmetric and sparse tensor…

数值分析 · 数学 2022-02-10 Illia Kaliuzhnyi , Christoph Ortner

We introduce an ensemble learning method for dynamic portfolio valuation and risk management building on regression trees. We learn the dynamic value process of a derivative portfolio from a finite sample of its cumulative cash flow. The…

计算金融 · 定量金融 2022-04-13 Lotfi Boudabsa , Damir Filipović

It is widely recognized that when classical optimal strategies are applied with parameters estimated from data, the resulting portfolio weights are remarkably volatile and unstable over time. The predominant explanation for this is the…

统计理论 · 数学 2009-06-15 Carl Lindberg

We consider the problem of optimally allocating resources across a set of transmitters and receivers in a wireless network. The resulting optimization problem takes the form of constrained statistical learning, in which solutions can be…

信号处理 · 电气工程与系统科学 2020-07-15 Mark Eisen , Alejandro Ribeiro

We investigate high-dimensional sparse regression when both the noise and the design matrix exhibit heavy-tailed behavior. Standard algorithms typically fail in this regime, as heavy-tailed covariates distort the empirical risk geometry. We…

统计方法学 · 统计学 2026-01-12 Kaiyuan Zhou , Xiaoyu Zhang , Wenyang Zhang , Di Wang

Diffusion and flow-matching have emerged as powerful methodologies for generative modeling, with remarkable success in capturing complex data distributions and enabling flexible guidance at inference time. Many downstream applications,…

机器学习 · 计算机科学 2026-04-28 Zeyang Li , Kaveh Alim , Navid Azizan

Convolutional Neural Networks (CNNs) are hard to deploy on edge devices due to its high computation and storage complexities. As a common practice for model compression, network pruning consists of two major categories: unstructured and…

计算机视觉与模式识别 · 计算机科学 2023-11-30 Yuchuan Tian , Hanting Chen , Tianyu Guo , Chao Xu , Yunhe Wang

Studies in circadian biology often use trigonometric regression to model phenomena over time. Ideally, protocols in these studies would collect samples at evenly distributed and equally spaced time points over a 24 hour period. This sample…

统计方法学 · 统计学 2024-03-22 Michael Gorczyca , Justice Sefas

We study the portfolio selection problem of a long-run investor who is maximising the asymptotic growth rate of her expected utility. We show that, somewhat surprisingly, it is essentially not affected by introduction of a floor constraint…

投资组合管理 · 定量金融 2013-05-30 Vladimir Cherny , Jan Obloj

We provide analytical results for a static portfolio optimization problem with two coherent risk measures. The use of two risk measures is motivated by joint decision-making for portfolio selection where the risk perception of the portfolio…

投资组合管理 · 定量金融 2021-01-19 Tahsin Deniz Aktürk , Çağın Ararat

Portfolio optimization under cardinality constraints transforms the classical Markowitz mean-variance problem from a convex quadratic problem into an NP-hard combinatorial optimization problem. This paper introduces a novel approach using…

计算金融 · 定量金融 2026-01-13 Javier Mancilla , Theodoros D. Bouloumis , Frederic Goguikian

In this paper, motivated by the celebrated work of Kelly, we consider the problem of portfolio weight selection to maximize expected logarithmic growth. Going beyond existing literature, our focal point here is the rebalancing frequency…

投资组合管理 · 定量金融 2019-01-28 Chung-Han Hsieh , John A. Gubner , B. Ross Barmish

The popularity of modern portfolio theory has decreased among practitioners because of its unfavorable out-of-sample performance. Estimation errors tend to affect the optimal weight calculation noticeably, especially when a large number of…

投资组合管理 · 定量金融 2019-10-28 Sven Husmann , Antoniya Shivarova , Rick Steinert

Portfolio optimization is an important process in finance that consists in finding the optimal asset allocation that maximizes expected returns while minimizing risk. When assets are allocated in discrete units, this is a combinatorial…

统计力学 · 物理学 2022-10-04 Álvaro Rubio-García , Juan José García-Ripoll , Diego Porras

This work proposes a unified framework for portfolio allocation, covering both asset selection and optimization, based on a multiple-hypothesis predict-then-optimize approach. The portfolio is modeled as a structured ensemble, where each…

投资组合管理 · 定量金融 2025-11-19 Alejandro Rodriguez Dominguez , Muhammad Shahzad , Xia Hong

This paper introduces a tensor neural network (TNN) to address nonparametric regression problems, leveraging its distinct sub-network structure to effectively facilitate variable separation and enhance the approximation of complex,…

机器学习 · 统计学 2024-09-16 Yongxin Li , Yifan Wang , Zhongshuo Lin , Hehu Xie

Portfolio Selection is an important real-world financial task and has attracted extensive attention in artificial intelligence communities. This task, however, has two main difficulties: (i) the non-stationary price series and complex asset…

机器学习 · 计算机科学 2020-03-09 Yifan Zhang , Peilin Zhao , Qingyao Wu , Bin Li , Junzhou Huang , Mingkui Tan

We study a tight Bennett-type concentration inequality for sums of heterogeneous and independent variables, defined as a one-dimensional minimization. We show that this refinement, which outperforms the standard known bounds, remains…

最优化与控制 · 数学 2022-11-23 Quentin Jacquet , Riadh Zorgati