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Focused on mathematical finance research
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AKToure/README.md
Alpha Stochastic Research Banner



Alpha Stochastic Research Logo

Alpha Kabinet TOURE

Founder & CEO · Alpha Stochastic Research
Quant Research Trainee · D+A Strategies
Engineering Student · Université de Technologie de Troyes

Advancing quantitative finance through mathematics, statistics, stochastic modelling, machine learning and open science.





Research Profile

I am an engineering student at the Université de Technologie de Troyes (UTT) and the founder of Alpha Stochastic Research, an independent quantitative finance research laboratory.

My work focuses on the intersection of quantitative finance, financial mathematics, stochastic processes, statistics, machine learning, and scientific computing.

My objective is to develop rigorous and reproducible quantitative methodologies that connect mathematical theory with real-world financial decision-making.


Current Roles

Organization Role Focus
Alpha Stochastic Research Founder & CEO Quantitative finance, stochastic modelling, open science
D+A Strategies Quant Research Trainee Quantitative research, portfolio analytics, financial modelling

Research Framework

Research → Modelling → Analysis → Impact

Stage Objective
Research Study financial markets, mathematical models, empirical phenomena and scientific literature
Modelling Develop stochastic, statistical, probabilistic and machine learning models
Analysis Quantify uncertainty, detect structure, estimate risk and validate assumptions
Impact Translate research into reproducible tools, insights and decision frameworks

Published Research and Software Releases

Output Type Status Persistent identifier
Bachelier’s Theory of Speculation Revisited: A Reproducible Reconstruction of the Origins of Quantitative Finance Preprint Published on Zenodo DOI: 10.5281/zenodo.21385499
Deep Hedging under Transaction Costs: An Auditable NumPy Implementation and Exploratory Study Preprint Published on Zenodo DOI: 10.5281/zenodo.21519919
asr-deep-hedging v0.2.0 Open-source software Latest GitHub release Repository · PyPI
Alpha Stochastic Research: Open Research and Reproducibility Framework Research report Published on Zenodo DOI: 10.5281/zenodo.21379982
asr-open-sc v0.3.2 Open-source software Released and archived on Zenodo DOI: 10.5281/zenodo.21382430

Publication status: The Bachelier and Deep Hedging preprints are publicly available on Zenodo. The Deep Hedging implementation is maintained as an open-source Python package with a documented public API. No SSRN identifier is claimed until a public SSRN record exists.


Latest Research Release

ASR Deep Hedging v0.2.0

Deep Hedging under Transaction Costs: An Auditable NumPy Implementation and Exploratory Study

An open-source and auditable NumPy implementation for neural option hedging under discrete rebalancing and transaction costs.

python -m pip install --upgrade asr-deep-hedging
from deep_hedging import (
    Adam,
    TanhMLP,
    black_scholes_delta,
    evaluate_positions,
    simulate_gbm,
    train_step,
)

Active Research Projects

Bachelier 1900 — Theory of Speculation

Published reproducible reconstruction of Louis Bachelier’s foundational work on financial speculation, arithmetic Brownian motion and option pricing. The preprint is archived on Zenodo, while the accompanying Python package remains under active maintenance and development.

Areas:
Quantitative Finance · Financial Mathematics · Brownian Motion · Option Pricing


Value at Risk versus Conditional Value at Risk

A rigorous framework for measuring extreme tail risk and regulatory compliance through VaR and CVaR methodologies.

Areas:
Risk Management · Tail Risk · Financial Regulation · Quantitative Risk


Probabilistic Framework for Cognitive Offloading Risk

Research on probabilistic dependence, uncertainty and risk structures in cognitive offloading and artificial intelligence systems.

Areas:
Artificial Intelligence · Cognitive Science · Risk Analysis · Probability


Behavioural Segmentation and Institutional Equilibrium

Study of behavioural segmentation, equilibrium structures and probabilistic dynamics in institutional environments.

Areas:
Artificial Intelligence · Stochastic Processes · Probability · Behavioural Modelling


Diversification versus Portfolio Optimization

Research on the relationship between naive diversification, optimized allocation, risk concentration and portfolio construction.

Areas:
Portfolio Optimization · Financial Econometrics · Risk Management


Hierarchical Risk Parity

Implementation and analysis of hierarchical portfolio construction methods based on clustering, covariance structure and risk allocation.

Areas:
Risk Management · Portfolio Construction · Time Series Analysis


Deep Hedging under Transaction Costs

Developed an auditable NumPy framework for discrete-time neural option hedging under transaction costs. The project includes exact empirical CVaR optimization, GBM and Heston simulation, manual network gradients, inventory-aware policies, classical benchmarks, evaluation utilities, automated tests, and a documented public Python API.

Areas:
Quantitative Finance · Deep Hedging · CVaR · Transaction Costs · Stochastic Simulation · Model Validation


Agentic Trading Systems

Research on agentic trading agents, validation frameworks, market decision systems and financial regulation constraints.

Areas:
Trading Systems · Financial AI · Model Risk · Financial Regulation



Research Interests

Mathematics Finance Artificial Intelligence
Probability Theory Quantitative Finance Machine Learning
Stochastic Processes Portfolio Optimization Deep Learning
Bayesian Statistics Risk Management Financial AI
Optimization Derivatives Pricing Scientific Computing
Time Series Analysis Financial Econometrics Reproducible Research
Numerical Methods Market Modelling Model Validation

Alpha Stochastic Research

Alpha Stochastic Research (ASR) is an independent quantitative finance research laboratory dedicated to rigorous, transparent and reproducible research.

ASR focuses on:

  • Quantitative finance
  • Mathematical finance
  • Stochastic modelling
  • Financial machine learning
  • Quantitative risk
  • Portfolio optimization
  • Scientific computing
  • Open research and education

Open-Source Research

Project Description Status DOI / Repository
ASR Open Research and Reproducibility Framework Institutional framework for transparent, reproducible and open quantitative research Published 10.5281/zenodo.21379982
asr-open-sc Shared registry and infrastructure for the ASR open-science Python ecosystem v0.3.2 released 10.5281/zenodo.21382430
ASR Theory of Speculation Reproducible implementation and modern reconstruction of Bachelier’s 1900 theory Preprint published · package active 10.5281/zenodo.21385499
ASR Organization Profile Community health files and institutional profile for Alpha Stochastic Research Active GitHub organization
VaR versus CVaR Framework Extreme tail-risk and regulatory risk measurement framework Active research DOI pending publication
Portfolio Optimization Engine Systematic allocation and portfolio construction research Planned Not yet published
Hierarchical Risk Parity Risk-based portfolio allocation and clustering methods Research Not yet published
ASR Deep Hedging Auditable NumPy framework for neural option hedging under transaction costs, empirical CVaR optimization, GBM/Heston simulation, benchmarks, and evaluation v0.2.0 released · preprint published Paper · Repository · PyPI
Cognitive Offloading Risk Probabilistic framework for AI and cognitive-risk modelling Research Not yet published
Agentic Trading Systems Research framework for autonomous trading systems Draft Not yet published

Technology Stack

Languages and Scientific Computing



Machine Learning and Optimization



Research Infrastructure


Publications and Research Channels

Channel Current status and purpose
Zenodo Active public archive for ASR papers, reports and software releases. Visit the ASR community.
GitHub Active source for reproducible code, notebooks, documentation, issue tracking and open-source research.
ORCID Persistent researcher identity: 0009-0006-0745-0380.
SSRN Planned dissemination channel for working papers and preprints. No SSRN identifier is listed until a record is public.
Alpha Stochastic Research Official laboratory website, research announcements and project releases.
Substack Research notes and explanatory articles.
Medium Public-facing quantitative-finance articles.
Discord Community collaboration and discussion: join the ASR community.

GitHub Activity

Research Profile







Current Focus














Research Principles

Principle Commitment
Mathematics Build on rigorous theoretical foundations
Reproducibility Make methods, code and results transparent
Open Science Share knowledge through public research outputs
Engineering Transform theory into usable quantitative tools
Integrity State assumptions, limitations and uncertainty clearly
Continuous Learning Maintain curiosity across finance, mathematics and artificial intelligence

Research becomes valuable when it is rigorous, reproducible and openly shared.


Alpha Kabinet TOURE
Founder & CEO — Alpha Stochastic Research



Advancing quantitative finance through mathematics, statistics, artificial intelligence and open science.

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