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Statistical machine learning plays an important role in modern statistics and computer science. One main goal of statistical machine learning is to provide universally consistent algorithms, i.e., the estimator converges in probability or…

Machine Learning · Statistics 2016-04-18 Andreas Christmann , Florian Dumpert , Dao-Hong Xiang

This paper derives a robust on-line equity trading algorithm that achieves the greatest possible percentage of the final wealth of the best pairs rebalancing rule in hindsight. A pairs rebalancing rule chooses some pair of stocks in the…

Portfolio Management · Quantitative Finance 2022-10-24 Alex Garivaltis

We consider online learning of ensembles of portfolio selection algorithms and aim to regularize risk by encouraging diversification with respect to a predefined risk-driven grouping of stocks. Our procedure uses online convex optimization…

Machine Learning · Computer Science 2016-04-13 Guy Uziel , Ran El-Yaniv

In the recent years, a number of parameter-free algorithms have been developed for online linear optimization over Hilbert spaces and for learning with expert advice. These algorithms achieve optimal regret bounds that depend on the unknown…

Machine Learning · Computer Science 2016-11-07 Francesco Orabona , Dávid Pál

Deep Reinforcement Learning (DRL) algorithms can scale to previously intractable problems. The automation of profit generation in the stock market is possible using DRL, by combining the financial assets price "prediction" step and the…

Trading and Market Microstructure · Quantitative Finance 2022-09-20 Taylan Kabbani , Ekrem Duman

As a fundamental problem in algorithmic trading, order execution aims at fulfilling a specific trading order, either liquidation or acquirement, for a given instrument. Towards effective execution strategy, recent years have witnessed the…

Trading and Market Microstructure · Quantitative Finance 2021-03-22 Yuchen Fang , Kan Ren , Weiqing Liu , Dong Zhou , Weinan Zhang , Jiang Bian , Yong Yu , Tie-Yan Liu

We present a novel variation of online kernel machines in which we exploit a consensus based optimization mechanism to guide the evolution of decision functions drawn from a reproducing kernel Hilbert space, which efficiently models the…

Machine Learning · Statistics 2019-12-18 Raghu G. Raj

This paper develops a frequentist solution to the functional calibration problem, where the value of a calibration parameter in a computer model is allowed to vary with the value of control variables in the physical system. The need of…

Methodology · Statistics 2021-07-20 Rui Tuo , Shiyuan He , Arash Pourhabib , Yu Ding , Jianhua Z. Huang

In this paper, we consider the coefficient-based regularized distribution regression which aims to regress from probability measures to real-valued responses over a reproducing kernel Hilbert space (RKHS), where the regularization is put on…

Machine Learning · Statistics 2022-08-29 Yuan Mao , Lei Shi , Zheng-Chu Guo

We propose a new point of view for regularizing deep neural networks by using the norm of a reproducing kernel Hilbert space (RKHS). Even though this norm cannot be computed, it admits upper and lower approximations leading to various…

Machine Learning · Statistics 2019-05-15 Alberto Bietti , Grégoire Mialon , Dexiong Chen , Julien Mairal

Extracting implied information, like volatility and/or dividend, from observed option prices is a challenging task when dealing with American options, because of the computational costs needed to solve the corresponding mathematical problem…

Computational Finance · Quantitative Finance 2020-02-05 Shuaiqiang Liu , Álvaro Leitao , Anastasia Borovykh , Cornelis W. Oosterlee

The paper presents a Bayesian framework for the calibration of financial models using neural stochastic differential equations (neural SDEs), for which we also formulate a global universal approximation theorem based on Barron-type…

Computational Finance · Quantitative Finance 2026-05-12 Christa Cuchiero , Eva Flonner , Kevin Kurt

In the online portfolio optimization framework, existing learning algorithms generate strategies that yield significantly poorer cumulative wealth compared to the best constant rebalancing portfolio in hindsight, despite being consistent in…

Portfolio Management · Quantitative Finance 2025-07-09 Duy Khanh Lam

This paper proposes a Deep Reinforcement Learning algorithm for financial portfolio trading based on Deep Q-learning. The algorithm is capable of trading high-dimensional portfolios from cross-sectional datasets of any size which may…

Portfolio Management · Quantitative Finance 2021-12-10 Uta Pigorsch , Sebastian Schäfer

The report presents with the development and optimisation of an enhanced algorithmic trading strategy through the use of historical S&P 500 market data and earnings call sentiment analysis. The proposed strategy integrates various technical…

Artificial Intelligence · Computer Science 2026-03-24 Owen Nyo Wei Yuan , Victor Tan Jia Xuan , Ong Jun Yao Fabian , Ryan Tan Jun Wei

We present a framework for hedging a portfolio of derivatives in the presence of market frictions such as transaction costs, market impact, liquidity constraints or risk limits using modern deep reinforcement machine learning methods. We…

Computational Finance · Quantitative Finance 2018-02-12 Hans Bühler , Lukas Gonon , Josef Teichmann , Ben Wood

We study distributed learning with the least squares regularization scheme in a reproducing kernel Hilbert space (RKHS). By a divide-and-conquer approach, the algorithm partitions a data set into disjoint data subsets, applies the least…

Machine Learning · Computer Science 2017-03-14 Shao-Bo Lin , Xin Guo , Ding-Xuan Zhou

Generating calibrated and sharp neural network predictive distributions for regression problems is essential for optimal decision-making in many real-world applications. To address the miscalibration issue of neural networks, various…

Machine Learning · Computer Science 2024-03-19 Victor Dheur , Souhaib Ben Taieb

Building on the functional-analytic framework of operator-valued kernels and un-truncated signature kernels, we propose a scalable, provably convergent signature-based algorithm for a broad class of high-dimensional, path-dependent hedging…

Functional Analysis · Mathematics 2025-02-06 Nicola Muca Cirone , Cristopher Salvi

Predictive models in ML need to be trustworthy and reliable, which often at the very least means outputting calibrated probabilities. This can be particularly difficult to guarantee in the online prediction setting when the outcome sequence…

Machine Learning · Computer Science 2023-10-27 Princewill Okoroafor , Robert Kleinberg , Wen Sun