Study compares quantum and classical ML in crypto trading, finding hybrid models outperform.
arXiv research
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Using a supergeometric interpretation of field functionals, we show that for a class of classical field models used for realistic quantum field theoretic models, an infinite-dimensional supermanifold (smf) of classical solutions in Minkowski space can be constructed. That is, we show that the smf of smooth Cauchy data …
Quantum computers outperform classical methods in density modeling.
Improves diffusion model performance and efficiency through classical search.
Using a supergeometric interpretation of field functionals developed in previous papers, we show that for quite a large class of systems of nonlinear field equations with anticommuting fields, infinite-dimensional supermanifolds (smf) of classical solutions can be constructed. Such systems arise in classical field mode…
Quantum oracles help identify counterfactuals better than classical ones.
Classical scaling is shown to be optimal under various noisy conditions.
This work proposes efficient classical training protocols for IQP circuits to train quantum generative models.
Model financial markets using open quantum systems to understand market imperfections.
We propose a novel quantum model for the restricted Boltzmann machine (RBM), in which the visible units remain classical whereas the hidden units are quantized as noninteracting fermions. The free motion of the fermions is parametrically coupled to the classical signal of the visible units. This model possesses a quant…
Hybrid quantum-classical RL model solves standard benchmark tasks and proves quantum advantage.
Unified framework for learning quantum models from limited measurements.
We discuss of the conceptual difficulties connected with the anticommutativity of classical fermion fields, and we argue that the "space" of all classical configurations of a model with such fields should be described as an infinite-dimensional supermanifold M. We discuss the two main approaches to supermanifolds, and …
Study compares LLMs vs classical models for financial sentiment analysis.
Study benchmarks classical models over quantum in DeFi yield prediction.
LLMs struggle to optimize hyperparameters efficiently, but hybrid methods can improve performance.
Study on non-classical generating sets in Fuchsian Schottky groups.
Classical time series models forecast Bitcoin prices and volatility accurately.
Enhances financial risk quantification in classical models.
Given a classical channel---a stochastic map from inputs to outputs---the input can often be transformed to an intermediate variable that is informationally smaller than the input. The new channel accurately simulates the original but at a smaller transmission rate. Here, we examine this procedure when the intermediate…
Quantum models avoiding barren plateaus can also be efficiently simulated classically.
We study a sigma-model with target space the flag manifold U(3)/U(1)^3. A peculiarity of the model is that the complex structure on the target space enters explicitly in the action. We describe the classical solutions of the model for the case when the worldsheet is a sphere CP^1.
Quantum CNNs can be efficiently simulated classically on simple datasets.
Classical clients can verify quantum learning tasks efficiently.
A large collection of time series poses significant challenges for classical and neural forecasting approaches. Classical time series models fail to fit data well and to scale to large problems, but succeed at providing uncertainty estimates. The converse is true for deep neural networks. In this paper, we propose a hy…
These notes grew out of a lecture course on mathematical methods of classical physics for students of mathematics and mathematical physics at the master's level. Also, physicists with a strong interest in mathematics may find this text useful as a resource complementary to existing textbooks on classical physics. Topic…
Novel neural models have been proposed in recent years for learning under domain shift. Most models, however, only evaluate on a single task, on proprietary datasets, or compare to weak baselines, which makes comparison of models difficult. In this paper, we re-evaluate classic general-purpose bootstrapping approaches …
Quantum neural network and tensor network models outperform classical models in Japanese stock market predictions.
Paper benchmarks quantum neural networks against classical ones for binary classification tasks.
Quantum circuits reveal pathways to dequantization in machine learning models.
In this paper we construct the quantum group, at roots of unity, of abelian Chern-Simons theory. We then use it to model classical theta functions and the actions of the Heisenberg and modular groups on them.
Quantum mechanics is inherently probabilistic in light of Born's rule. Using quantum circuits as probabilistic generative models for classical data exploits their superior expressibility and efficient direct sampling ability. However, training of quantum circuits can be more challenging compared to classical neural net…
Enhances quantum computing for symmetrical systems, proving a new class of problems.
Paper compares neural networks and classical statistics for dementia prediction, highlighting interpretability of classical methods.
Quantum walks model financial returns with flexibility and asymmetry.
We consider the classical "Serrin symmetry result" for the overdetermined boundary value problem related to the equation in a model manifold of non-negative Ricci curvature. Using an extension of the Weinberger classical argument we prove a Euclidean symmetry result under a suitable "compatibility" assumption b…
We analyze complexity of financial (and general economic) processes by comparing classical and quantum-like models for randomness. Our analysis implies that it might be that a quantum-like probabilistic description is more natural for financial market than the classical one. A part of our analysis is devoted to study t…
A new hybrid framework reduces quantum runtime and noise effects.
Quantum effects improve stock option pricing model.
Quantum models improve data generation from noisy quantum processors.
This paper asks, "Do classics exist in megaproject management?" We identify three types of classic texts: conventional, Kuhnian, and citation classics. We find that the answer to our question depends on the definition of "classic" employed. First, "citation classics" do exist in megaproject management, and they perform…
In this paper we present a new framework for time-series modeling that combines the best of traditional statistical models and neural networks. We focus on time-series with long-range dependencies, needed for monitoring fine granularity data (e.g. minutes, seconds, milliseconds), prevalent in operational use-cases. Tra…
Quantum computing speeds up linear regression training.
In this paper we compare two classical one-factor diffusion models which are used to model the term structure of interest rates. One of them is based on the Wiener-Bachelier process while the second one is based on the Ornstein-Uhlenbeck process. We show essential differences between the prices of European call options…
Quantum machine learning: Adiabatic quantum SVM outperforms classical methods.
The issue of constructing a risk minimizing hedge under an additional almost-surely type constraint on the shortfall profile is examined. Several classical risk minimizing problems are adapted to the new setting and solved. In particular, the bankruptcy threat of optimal strategies appearing in the classical risk minim…
New algorithms learn MDPs with better regret bounds using generative sampling.
Hybrid QNN-LSTM predicts financial stock market trends using quantum computing.