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Natural data observed in $\mathbb{R}^n$ is often constrained to an $m$-dimensional manifold $\mathcal{M}$, where $m < n$. This work focuses on the task of building theoretically principled generative models for such data. Current generative…

Machine Learning · Statistics 2023-12-25 Brendan Leigh Ross , Gabriel Loaiza-Ganem , Anthony L. Caterini , Jesse C. Cresswell

Implicit neural representations (INRs) mark a fundamental shift in signal modeling, moving from discrete sampled data to continuous functional representations. By parameterizing signals as neural networks, INRs provide a unified framework…

Computer Vision and Pattern Recognition · Computer Science 2026-04-17 Dhananjaya Jayasundara , Vishal M. Patel

The fairness of a deep neural network is strongly affected by dataset bias and spurious correlations, both of which are usually present in modern feature-rich and complex visual datasets. Due to the difficulty and variability of the task,…

Computer Vision and Pattern Recognition · Computer Science 2024-02-28 Rebecca S Stone , Nishant Ravikumar , Andrew J Bulpitt , David C Hogg

Stock market volatility forecasting is a task relevant to assessing market risk. We investigate the interaction between news and prices for the one-day-ahead volatility prediction using state-of-the-art deep learning approaches. The…

Statistical Finance · Quantitative Finance 2018-12-31 Marcelo Sardelich , Suresh Manandhar

Implicit neural representation is a recent approach to learn shape collections as zero level-sets of neural networks, where each shape is represented by a latent code. So far, the focus has been shape reconstruction, while shape…

Computer Vision and Pattern Recognition · Computer Science 2021-08-23 Matan Atzmon , David Novotny , Andrea Vedaldi , Yaron Lipman

A simple method is proposed to estimate the instantaneous correlations between state variables in a hybrid system from the empirical correlations between observable market quantities such as spot rate, stock price and implied volatility.…

Computational Finance · Quantitative Finance 2023-07-10 Baron Law

In this study, we predict next-day movements of stock end-of-day implied volatility using random forests. Through an ablation study, we examine the usefulness of different sources of predictors and expose the value of attention and…

Computational Finance · Quantitative Finance 2023-01-03 Thomas Dierckx , Jesse Davis , Wim Schoutens

Using established principles from Statistics and Information Theory, we show that invariance to nuisance factors in a deep neural network is equivalent to information minimality of the learned representation, and that stacking layers and…

Machine Learning · Computer Science 2018-06-29 Alessandro Achille , Stefano Soatto

Implicit models, an emerging model class, compute outputs by iterating a single parameter block to a fixed point. This architecture realizes an infinite-depth, weight-tied network that trains with constant memory, significantly reducing…

Machine Learning · Computer Science 2026-04-01 Jialin Liu , Lisang Ding , Stanley Osher , Wotao Yin

Lending decisions are usually made with proprietary models that provide minimally acceptable explanations to users. In a future world without such secrecy, what decision support tools would one want to use for justified lending decisions?…

Machine Learning · Computer Science 2021-06-07 Chaofan Chen , Kangcheng Lin , Cynthia Rudin , Yaron Shaposhnik , Sijia Wang , Tong Wang

In previous works Avellaneda et al. pioneered the pricing and hedging of index options - products highly sensitive to implied volatility and correlation assumptions - with large deviations methods, assuming local volatility dynamics for all…

Pricing of Securities · Quantitative Finance 2022-12-16 Peter K. Friz , Thomas Wagenhofer

Video-based representations have gained prominence in planning and decision-making due to their ability to encode rich spatiotemporal dynamics and geometric relationships. These representations enable flexible and generalizable solutions…

Robotics · Computer Science 2026-02-11 Po-Chen Ko , Jiayuan Mao , Yu-Hsiang Fu , Hsien-Jeng Yeh , Chu-Rong Chen , Wei-Chiu Ma , Yilun Du , Shao-Hua Sun

The Black-Scholes option pricing model remains a cornerstone in financial mathematics, yet its application is often challenged by the need for accurate hedging strategies, especially in dynamic market environments. This paper presents a…

Mathematical Finance · Quantitative Finance 2024-05-07 Agni Rakshit , Gautam Bandyopadhyay , Tanujit Chakraborty

While recent neural codecs achieve strong performance at low bitrates when optimized for perceptual quality, their effectiveness deteriorates significantly under ultra-low bitrate conditions. To mitigate this, generative compression methods…

Computer Vision and Pattern Recognition · Computer Science 2026-02-06 Chuqin Zhou , Xiaoyue Ling , Yunuo Chen , Jincheng Dai , Guo Lu , Wenjun Zhang

Implicit equilibrium models, i.e., deep neural networks (DNNs) defined by implicit equations, have been becoming more and more attractive recently. In this paper, we investigate an emerging question: can an implicit equilibrium model's…

Machine Learning · Computer Science 2021-06-08 Xingyu Xie , Qiuhao Wang , Zenan Ling , Xia Li , Yisen Wang , Guangcan Liu , Zhouchen Lin

This paper investigates short-term behaviors of implied volatility of derivatives written on indexes in equity markets when the index processes are constructed by using a ranking procedure. Even in simple market settings where stock prices…

Pricing of Securities · Quantitative Finance 2025-03-11 Huy N. Chau , Duy Nguyen , Thai Nguyen

In recommender systems, users rate items, and are subsequently served other product recommendations based on these ratings. Even though users usually rate a tiny percentage of the available items, the system tries to estimate unobserved…

Social and Information Networks · Computer Science 2024-06-21 Benjamin Leinwand , Vladas Pipiras

A nonlinear wave alternative for the standard Black-Scholes option-pricing model is presented. The adaptive-wave model, representing 'controlled Brownian behavior' of financial markets, is formally defined by adaptive nonlinear…

Pricing of Securities · Quantitative Finance 2009-11-11 Vladimir G. Ivancevic

Implicit representation of shapes as level sets of multilayer perceptrons has recently flourished in different shape analysis, compression, and reconstruction tasks. In this paper, we introduce an implicit neural representation-based…

Computer Vision and Pattern Recognition · Computer Science 2023-07-25 Tin Vlašić , Hieu Nguyen , AmirEhsan Khorashadizadeh , Ivan Dokmanić

Classical neural ODEs trained with explicit methods are intrinsically limited by stability, crippling their efficiency and robustness for stiff learning problems that are common in graph learning and scientific machine learning. We present…

Machine Learning · Computer Science 2024-12-17 Hong Zhang , Ying Liu , Romit Maulik