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Exploiting Distributional Value Functions for Financial Market Valuation, Enhanced Feature Creation and Improvement of Trading Algorithms 利用分布式价值函数进行金融市场估值、增强特征创建和改进交易算法
Pub Date : 2024-05-19 DOI: arxiv-2405.11686
Colin D. Grab
While research of reinforcement learning applied to financial marketspredominantly concentrates on finding optimal behaviours, it is worth torealize that the reinforcement learning returns $G_t$ and state value functionsthemselves are of interest and play a pivotal role in the evaluation of assets.Instead of focussing on the more complex task of finding optimal decisionrules, this paper studies and applies the power of distributional state valuefunctions in the context of financial market valuation and machine learningbased trading algorithms. Accurate and trustworthy estimates of thedistributions of $G_t$ provide a competitive edge leading to better informeddecisions and more optimal behaviour. Herein, ideas from predictive knowledgeand deep reinforcement learning are combined to introduce a novel family ofmodels called CDG-Model, resulting in a highly flexible framework and intuitiveapproach with minimal assumptions regarding underlying distributions. Themodels allow seamless integration of typical financial modelling pitfalls liketransaction costs, slippage and other possible costs or benefits into the modelcalculation. They can be applied to any kind of trading strategy or assetclass. The frameworks introduced provide concrete business value through theirpotential in market valuation of single assets and portfolios, in thecomparison of strategies as well as in the improvement of market timing. Theycan positively impact the performance and enhance the learning process ofexisting or new trading algorithms. They are of interest from a scientificpoint-of-view and open up multiple areas of future research. Initialimplementations and tests were performed on real market data. While the resultsare promising, applying a robust statistical framework to evaluate the modelsin general remains a challenge and further investigations are needed.
虽然将强化学习应用于金融市场的研究主要集中在寻找最优行为上,但值得认识到的是,强化学习回报 $G_t$ 和状态价值函数本身也很有意义,并且在资产评估中扮演着关键角色。对 $G_t$ 分布的准确、可信的估算为做出更明智的决策和更优化的行为提供了竞争优势。在这里,我们将预测知识和深度强化学习的思想结合起来,引入了一个名为 CDG-Model 的新型模型系列,从而建立了一个高度灵活的框架和直观的方法,并将对基础分布的假设降至最低。这些模型允许将典型的金融建模陷阱(如交易成本、滑移和其他可能的成本或收益)无缝集成到模型计算中。它们可应用于任何类型的交易策略或资产类别。所引入的框架可为单一资产和投资组合的市场估值、策略比较以及市场时机的改进提供具体的商业价值。它们可以对现有或新交易算法的性能产生积极影响,并加强其学习过程。从科学的角度来看,它们很有意义,并开辟了未来研究的多个领域。我们在真实市场数据上进行了初步实施和测试。虽然结果很有希望,但应用稳健的统计框架来评估一般模型仍然是一个挑战,需要进一步研究。
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引用次数: 0
"Microstructure Modes" -- Disentangling the Joint Dynamics of Prices & Order Flow "微观结构模式" -- 解读价格与订单流的共同动态变化
Pub Date : 2024-05-17 DOI: arxiv-2405.10654
Salma Elomari-Kessab, Guillaume Maitrier, Julius Bonart, Jean-Philippe Bouchaud
Understanding the micro-dynamics of asset prices in modern electronic orderbooks is crucial for investors and regulators. In this paper, we use an orderby order Eurostoxx database spanning over 3 years to analyze the joint dynamicsof prices and order flow. In order to alleviate various problems caused byhigh-frequency noise, we propose a double coarse-graining procedure that allowsus to extract meaningful information at the minute time scale. We use PrincipalComponent Analysis to construct "microstructure modes" that describe the mostcommon flow/return patterns and allow one to separate them into bid-asksymmetric and bid-ask anti-symmetric. We define and calibrate a VectorAuto-Regressive (VAR) model that encodes the dynamical evolution of thesemodes. The parameters of the VAR model are found to be extremely stable intime, and lead to relatively high $R^2$ prediction scores, especially forsymmetric liquidity modes. The VAR model becomes marginally unstable as morelags are included, reflecting the long-memory nature of flows and giving somefurther credence to the possibility of "endogenous liquidity crises". Althoughvery satisfactory on several counts, we show that our VAR framework does notaccount for the well known square-root law of price impact.
了解现代电子订单簿中资产价格的微观动态对投资者和监管者至关重要。在本文中,我们利用欧洲斯托克交易所超过 3 年的逐笔订单数据库来分析价格和订单流的共同动态。为了缓解高频噪声带来的各种问题,我们提出了一种双重粗粒化程序,使我们能够在微小的时间尺度上提取有意义的信息。我们使用主成分分析法(PrincipalComponent Analysis)构建 "微观结构模式",描述最常见的流动/回报模式,并将其分为买入-卖出不对称模式和买入-卖出反对称模式。我们定义并校准了一个矢量自回归(VAR)模型,该模型可对这些模式的动态演变进行编码。我们发现,VAR 模型的参数在时间上非常稳定,并能带来相对较高的 R^2$ 预测得分,尤其是对于对称流动性模式。随着滞后期的增加,VAR 模型变得略微不稳定,这反映了流动的长记忆性质,并进一步证实了 "内生流动性危机 "的可能性。尽管在一些方面非常令人满意,但我们发现我们的 VAR 框架并没有考虑到众所周知的价格影响平方根定律。
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引用次数: 0
Comparative Study of Bitcoin Price Prediction 比特币价格预测比较研究
Pub Date : 2024-05-13 DOI: arxiv-2405.08089
Ali Mohammadjafari
Prediction of stock prices has been a crucial and challenging task,especially in the case of highly volatile digital currencies such as Bitcoin.This research examineS the potential of using neural network models, namelyLSTMs and GRUs, to forecast Bitcoin's price movements. We employ five-foldcross-validation to enhance generalization and utilize L2 regularization toreduce overfitting and noise. Our study demonstrates that the GRUs models offerbetter accuracy than LSTMs model for predicting Bitcoin's price. Specifically,the GRU model has an MSE of 4.67, while the LSTM model has an MSE of 6.25 whencompared to the actual prices in the test set data. This finding indicates thatGRU models are better equipped to process sequential data with long-termdependencies, a characteristic of financial time series data such as Bitcoinprices. In summary, our results provide valuable insights into the potential ofneural network models for accurate Bitcoin price prediction and emphasize theimportance of employing appropriate regularization techniques to enhance modelperformance.
股票价格预测一直是一项至关重要且极具挑战性的任务,尤其是对于像比特币这样波动性极大的数字货币而言。我们采用五倍交叉验证来增强泛化,并利用 L2 正则化来减少过拟合和噪声。我们的研究表明,在预测比特币价格方面,GRUs 模型比 LSTMs 模型具有更高的准确性。具体来说,与测试集数据中的实际价格相比,GRU 模型的 MSE 为 4.67,而 LSTM 模型的 MSE 为 6.25。这一发现表明,GRU 模型更适合处理具有长期依赖性的连续数据,而这正是比特币价格等金融时间序列数据的特点。总之,我们的结果为神经网络模型准确预测比特币价格的潜力提供了有价值的见解,并强调了采用适当的正则化技术提高模型性能的重要性。
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引用次数: 0
High-Frequency Stock Market Order Transitions during the US-China Trade War 2018: A Discrete-Time Markov Chain Analysis 2018年中美贸易战期间的高频股市订单转换:离散时间马尔可夫链分析
Pub Date : 2024-05-09 DOI: arxiv-2405.05634
Salam Rabindrajit Luwang, Anish Rai, Md. Nurujjaman, Om Prakash, Chittaranjan Hens
Statistical analysis of high-frequency stock market order transaction data isconducted to understand order transition dynamics. We employ a first-ordertime-homogeneous discrete-time Markov chain model to the sequence of orders ofstocks belonging to six different sectors during the USA-China trade war of2018. The Markov property of the order sequence is validated by the Chi-squaretest. We estimate the transition probability matrix of the sequence usingmaximum likelihood estimation. From the heat-map of these matrices, we foundthe presence of active participation by different types of traders during highvolatility days. On such days, these traders place limit orders primarily withthe intention of deleting the majority of them to influence the market. Thesefindings are supported by high stationary distribution and low mean recurrencevalues of add and delete orders. Further, we found similar spectral gap andentropy rate values, which indicates that similar trading strategies areemployed on both high and low volatility days during the trade war. Among allthe sectors considered in this study, we observe that there is a recurringpattern of full execution orders in Finance & Banking sector. This shows thatthe banking stocks are resilient during the trade war. Hence, this study may beuseful in understanding stock market order dynamics and devise tradingstrategies accordingly on high and low volatility days during extrememacroeconomic events.
我们对高频股票市场订单交易数据进行统计分析,以了解订单转换动态。我们采用一阶-时间-同构离散-时间马尔可夫链模型,对 2018 年中美贸易战期间六个不同行业的股票订单序列进行了分析。订单序列的马尔可夫特性通过 Chi-squaret 检验得到了验证。我们使用最大似然估计法估计了序列的过渡概率矩阵。从这些矩阵的热图中,我们发现不同类型的交易者在高波动率日积极参与。在这些日子里,这些交易者下限价订单的主要目的是删除大部分订单以影响市场。添加和删除订单的高静态分布和低平均重现值支持了这些发现。此外,我们还发现了类似的频谱缺口和熵率值,这表明在贸易战期间,高波动率日和低波动率日都采用了类似的交易策略。在本研究考虑的所有行业中,我们发现金融和银行业经常出现完全执行订单的模式。这表明,银行股在贸易战期间具有弹性。因此,本研究有助于了解股市订单动态,并在极端宏观经济事件期间的高波动率日和低波动率日制定相应的交易策略。
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引用次数: 0
Complex network analysis of cryptocurrency market during crashes 崩盘期间加密货币市场的复杂网络分析
Pub Date : 2024-05-09 DOI: arxiv-2405.05642
Kundan Mukhia, Anish Rai, SR Luwang, Md Nurujjaman, Sushovan Majhi, Chittaranjan Hens
This paper identifies the cryptocurrency market crashes and analyses itsdynamics using the complex network. We identify three distinct crashes during2017-20, and the analysis is carried out by dividing the time series intopre-crash, crash, and post-crash periods. Partial correlation based complexnetwork analysis is carried out to study the crashes. Degree density($rho_D$), average path length ($bar{l}$), and average clustering coefficient($overline{cc}$) are estimated from these networks. We find that both $rho_D$and $overline{cc}$ are smallest during the pre-crash period, and spike duringthe crash suggesting the network is dense during a crash. Although $rho_D$ and$overline{cc}$ decrease in the post-crash period, they remain higher thanpre-crash levels for the 2017-18 and 2018-19 crashes suggesting a marketattempt to return to normalcy. We get $bar{l}$ is minimal during the crashperiod, suggesting a rapid flow of information. A dense network and rapidinformation flow suggest that during a crash uninformed synchronized panicsell-off happens. However, during the 2019-20 crash, the values of $rho_D$,$overline{cc}$, and $bar{l}$ did not vary significantly, indicating minimalchange in dynamics compared to other crashes. The findings of this study mayguide investors in making decisions during market crashes.
本文识别了加密货币市场的崩溃,并利用复杂网络分析了其动力学。我们确定了 2017-20 年间三次不同的崩盘,并通过将时间序列划分为崩盘前、崩盘中和崩盘后三个时期来进行分析。基于部分相关性的复杂网络分析用于研究碰撞事故。从这些网络中估算出度密度($rho_D$)、平均路径长度($bar{l}$)和平均聚类系数($overline{cc}$)。我们发现,$rho_D$和$overline{cc}$在碰撞前都是最小的,而在碰撞期间则会激增,这表明网络在碰撞期间是密集的。虽然 $rho_D$ 和 $overline{cc}$ 在暴跌后时期有所下降,但在 2017-18 年和 2018-19 年的暴跌中,它们仍然高于暴跌前的水平,这表明市场试图恢复正常。我们得到$bar{l}$在股灾期间是最小的,这表明信息流是快速流动的。密集的网络和快速的信息流表明,在暴跌期间会发生无信息的同步恐慌性抛售。然而,在2019-20撞车事件中,$rrh_D$、$overline{cc}$和$bar{l}$的值变化不大,表明与其他撞车事件相比,动态变化极小。本研究的结论可为投资者在市场崩溃期间做出决策提供指导。
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引用次数: 0
Generalization of the Alpha-Stable Distribution with the Degree of Freedom 用自由度概括阿尔法稳定分布
Pub Date : 2024-05-07 DOI: arxiv-2405.04693
Stephen H. Lihn
A Wright function based framework is proposed to combine and extend severaldistribution families. The $alpha$-stable distribution is generalized byadding the degree of freedom parameter. The PDF of this two-sided superdistribution family subsumes those of the original $alpha$-stable, Student's tdistributions, as well as the exponential power distribution and the modifiedBessel function of the second kind. Its CDF leads to a fractional extension ofthe Gauss hypergeometric function. The degree of freedom makes possible forvalid variance, skewness, and kurtosis, just like Student's t. The original$alpha$-stable distribution is viewed as having one degree of freedom, thatexplains why it lacks most of the moments. A skew-Gaussian kernel is derivedfrom the characteristic function of the $alpha$-stable law, which maximallypreserves the law in the new framework. To facilitate such framework, thestable count distribution is generalized as the fractional extension of thegeneralized gamma distribution. It provides rich subordination capabilities,one of which is the fractional $chi$ distribution that supplies the needed'degree of freedom' parameter. Hence, the "new" $alpha$-stable distribution isa "ratio distribution" of the skew-Gaussian kernel and the fractional $chi$distribution. Mathematically, it is a new form of higher transcendentalfunction under the Wright function family. Last, the new univariate symmetricdistribution is extended to the multivariate elliptical distributionsuccessfully.
本文提出了一个基于赖特函数的框架来组合和扩展几个分布族。通过添加自由度参数,对 $alpha$ 稳定分布进行了泛化。这个双面超分布族的 PDF 包含了原始的 $alpha$-稳定分布、Student's t 分布、指数幂分布和修正的第二类贝塞尔函数的 PDF。它的 CDF 导致高斯超几何函数的分数扩展。自由度使得方差、偏斜度和峰度成为可能,就像 Student's t 分布一样。从 $alpha$ 稳定规律的特征函数中导出了一个偏高斯核,它在新框架中最大限度地保留了该规律。为了促进这种框架,稳定计数分布被概括为广义伽马分布的分数扩展。它提供了丰富的从属能力,其中之一就是分数 $chi$ 分布,它提供了所需的 "自由度 "参数。因此,"新的"$α$稳定分布是偏高斯核与分数$chi$分布的 "比率分布"。在数学上,它是赖特函数族下的一种新的高超越函数形式。最后,新的单变量对称分布成功地扩展到了多变量椭圆分布。
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引用次数: 0
A novel portfolio construction strategy based on the core-periphery profile of stocks 基于股票核心-外围特征的新型投资组合构建策略
Pub Date : 2024-04-27 DOI: arxiv-2405.12993
Imran Ansari, Charu Sharma, Akshay Agrawal, Niteesh Sahni
This paper highlights the significance of mesoscale structures, particularlythe core-periphery structure, in financial networks for portfolio optimization.We build portfolios of stocks belonging to the periphery part of the Planarmaximally filtered subgraphs of the underlying network of stocks created fromPearson correlations between pairs of stocks and compare its performance withsome well-known strategies of Pozzi et. al. hinging around the local indices ofcentrality in terms of the Sharpe ratio, returns and standard deviation. Ourfindings reveal that these portfolios consistently outperform traditionalstrategies and further the core-periphery profile obtained is statisticallysignificant across time periods. These empirical findings substantiate theefficacy of using the core-periphery profile of the stock market network forboth inter-day and intraday trading and provide valuable insights for investorsseeking better returns.
本文强调了金融网络中的中尺度结构(尤其是核心-外围结构)对于投资组合优化的重要意义。我们构建了属于根据成对股票之间的皮尔逊相关性创建的基础股票网络的 "计划"(Planarmaximally filtered subgraphs)外围部分的股票投资组合,并在夏普比率、收益和标准差方面将其与 Pozzi 等人围绕本地中心性指数制定的一些著名策略的表现进行了比较。我们的研究结果表明,这些投资组合的表现始终优于传统策略,而且所获得的核心-外围特征在不同时期具有显著的统计学意义。这些实证研究结果证明了在日间和日内交易中使用股票市场网络的核心-外围分布图的有效性,并为寻求更高回报的投资者提供了有价值的见解。
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引用次数: 0
Systematic Comparable Company Analysis and Computation of Cost of Equity using Clustering 利用聚类对可比公司进行系统分析并计算股本成本
Pub Date : 2024-04-25 DOI: arxiv-2405.12991
Mohammed Perves
Computing cost of equity for private corporations and performing comparablecompany analysis (comps) for both public and private corporations is anintegral but tedious and time-consuming task, with important applicationsspanning the finance world, from valuations to internal planning. Performingcomps traditionally often times include high ambiguity and subjectivity,leading to unreliability and inconsistency. In this paper, I will present asystematic and faster approach to compute cost of equity for privatecorporations and perform comps for both public and private corporations usingspectral and agglomerative clustering. This leads to a reduction in the timerequired to perform comps by orders of magnitude and entire process being moreconsistent and reliable.
计算私营公司的股本成本以及对上市和私营公司进行可比公司分析(comparablecompany analysis,comps)是一项不可或缺但又繁琐耗时的工作,其重要应用范围涵盖财务领域,从估值到内部规划。在传统上,进行比较分析往往具有高度的模糊性和主观性,从而导致不可靠和不一致。在本文中,我将提出一种系统而快速的方法来计算私营公司的股权成本,并使用光谱聚类和聚类聚类对公共和私营公司进行比较。这使得进行比较所需的时间减少了几个数量级,而且整个过程更加一致和可靠。
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引用次数: 0
Analysis of market efficiency in main stock markets: using Karman-Filter as an approach 主要股票市场的市场效率分析:使用卡曼滤波器作为一种方法
Pub Date : 2024-04-25 DOI: arxiv-2404.16449
Beier Liu, Haiyun Zhu
In this study, we utilize the Kalman-Filter analysis to assess marketefficiency in major stock markets. The Kalman-Filter operates in two stages,assuming that the data contains a consistent trendline representing the truemarket value prior to being affected by noise. Unlike traditional methods, itcan forecast stock price movements effectively. Our findings reveal significantportfolio returns in emerging markets such as Korea, Vietnam, and Malaysia, aswell as positive returns in developed markets like the UK, Europe, Japan, andHong Kong. This suggests that the Kalman-Filter-based price reversal indicatoryields promising results across various market types.
在本研究中,我们利用卡尔曼滤波分析法来评估主要股票市场的市场效率。卡尔曼滤波器分两个阶段运行,假定数据包含一条一致的趋势线,代表受噪声影响之前的真实市场价值。与传统方法不同,卡尔曼滤波器能有效预测股价走势。我们的研究结果表明,韩国、越南和马来西亚等新兴市场的投资组合回报率很高,而英国、欧洲、日本和香港等发达市场的回报率也很高。这表明,基于卡尔曼滤波器的价格反转指标在各种类型的市场中都能产生可喜的结果。
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引用次数: 0
BERT vs GPT for financial engineering 金融工程的 BERT 与 GPT
Pub Date : 2024-04-24 DOI: arxiv-2405.12990
Edward Sharkey, Philip Treleaven
The paper benchmarks several Transformer models [4], to show how these modelscan judge sentiment from a news event. This signal can then be used fordownstream modelling and signal identification for commodity trading. We findthat fine-tuned BERT models outperform fine-tuned or vanilla GPT models on thistask. Transformer models have revolutionized the field of natural languageprocessing (NLP) in recent years, achieving state-of-the-art results on varioustasks such as machine translation, text summarization, question answering, andnatural language generation. Among the most prominent transformer models areBidirectional Encoder Representations from Transformers (BERT) and GenerativePre-trained Transformer (GPT), which differ in their architectures andobjectives. A CopBERT model training data and process overview is provided. The CopBERTmodel outperforms similar domain specific BERT trained models such as FinBERT.The below confusion matrices show the performance on CopBERT & CopGPTrespectively. We see a ~10 percent increase in f1_score when compare CopBERT vsGPT4 and 16 percent increase vs CopGPT. Whilst GPT4 is dominant It highlightsthe importance of considering alternatives to GPT models for financialengineering tasks, given risks of hallucinations, and challenges withinterpretability. We unsurprisingly see the larger LLMs outperform the BERTmodels, with predictive power. In summary BERT is partially the new XGboost,what it lacks in predictive power it provides with higher levels ofinterpretability. Concluding that BERT models might not be the next XGboost[2], but represent an interesting alternative for financial engineering tasks,that require a blend of interpretability and accuracy.
本文对几个 Transformer 模型[4]进行了基准测试,以展示这些模型如何从新闻事件中判断情绪。这一信号可用于商品交易的下游建模和信号识别。我们发现,在这项任务中,经过微调的 BERT 模型优于经过微调的或普通的 GPT 模型。近年来,变换器模型彻底改变了自然语言处理(NLP)领域,在机器翻译、文本摘要、问题解答和自然语言生成等各种任务上取得了最先进的成果。其中最著名的变换器模型是变换器双向编码器表示(BERT)和生成预训练变换器(GPT),它们的架构和目标各不相同。本文提供了 CopBERT 模型的训练数据和过程概览。CopBERT 模型的性能优于类似的特定领域 BERT 训练模型,如 FinBERT。以下混淆矩阵分别显示了 CopBERT 和 CopGPT 的性能。我们看到,CopBERT 与 GPT4 相比,f1_score 提高了约 10%,与 CopGPT 相比,f1_score 提高了 16%。虽然 GPT4 在金融工程任务中占主导地位,但考虑到出现幻觉的风险和可解释性方面的挑战,这凸显了在金融工程任务中考虑 GPT 模型替代品的重要性。我们毫不意外地看到,大型 LLM 在预测能力方面优于 BERT 模型。总之,BERT 在一定程度上是新的 XGboost,它在预测能力方面的不足可以通过更高水平的可解释性来弥补。结论是,BERT 模型可能不会成为下一个 XGboost[2],但对于需要兼顾可解释性和准确性的金融工程任务来说,它是一个有趣的替代方案。
{"title":"BERT vs GPT for financial engineering","authors":"Edward Sharkey, Philip Treleaven","doi":"arxiv-2405.12990","DOIUrl":"https://doi.org/arxiv-2405.12990","url":null,"abstract":"The paper benchmarks several Transformer models [4], to show how these models\u0000can judge sentiment from a news event. This signal can then be used for\u0000downstream modelling and signal identification for commodity trading. We find\u0000that fine-tuned BERT models outperform fine-tuned or vanilla GPT models on this\u0000task. Transformer models have revolutionized the field of natural language\u0000processing (NLP) in recent years, achieving state-of-the-art results on various\u0000tasks such as machine translation, text summarization, question answering, and\u0000natural language generation. Among the most prominent transformer models are\u0000Bidirectional Encoder Representations from Transformers (BERT) and Generative\u0000Pre-trained Transformer (GPT), which differ in their architectures and\u0000objectives. A CopBERT model training data and process overview is provided. The CopBERT\u0000model outperforms similar domain specific BERT trained models such as FinBERT.\u0000The below confusion matrices show the performance on CopBERT & CopGPT\u0000respectively. We see a ~10 percent increase in f1_score when compare CopBERT vs\u0000GPT4 and 16 percent increase vs CopGPT. Whilst GPT4 is dominant It highlights\u0000the importance of considering alternatives to GPT models for financial\u0000engineering tasks, given risks of hallucinations, and challenges with\u0000interpretability. We unsurprisingly see the larger LLMs outperform the BERT\u0000models, with predictive power. In summary BERT is partially the new XGboost,\u0000what it lacks in predictive power it provides with higher levels of\u0000interpretability. Concluding that BERT models might not be the next XGboost\u0000[2], but represent an interesting alternative for financial engineering tasks,\u0000that require a blend of interpretability and accuracy.","PeriodicalId":501139,"journal":{"name":"arXiv - QuantFin - Statistical Finance","volume":"19 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141149266","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
期刊
arXiv - QuantFin - Statistical Finance
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