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Gradient Descent

Lexicon

Classification

AI Algorithms and Optimization

Overview

Gradient Descent is a foundational optimization algorithm used to minimize a loss function by iteratively adjusting model parameters in the direction of the steepest descent, as defined by the negative gradient. This method is central to training machine learning models, especially neural networks, where it enables the model to learn from data by reducing prediction error. There are several variants of gradient descent, such as batch, stochastic, and mini-batch, each with trade-offs in terms of speed, convergence, and stability. While gradient descent is widely effective, it can get stuck in local minima or saddle points, and its performance is sensitive to the choice of learning rate. Additionally, it may perform poorly on non-convex functions and can be computationally intensive for large datasets. These limitations require careful tuning and sometimes the use of advanced optimization techniques.

Governance Context

Gradient Descent, as a key algorithmic component, is subject to governance controls that address transparency, accountability, and robustness in AI systems. For example, the EU AI Act and the OECD AI Principles require organizations to document and explain the functioning of core algorithms, including optimization methods like gradient descent, to ensure traceability and auditability. The NIST AI Risk Management Framework (RMF) recommends implementing controls to monitor model training processes, including the configuration and hyperparameters of optimization algorithms, to detect and mitigate unintended bias or instability. Organizations are also obligated to validate and test models for robustness against adversarial attacks or data drift, which can be exacerbated by improper use of gradient descent. Two concrete obligations include: (1) comprehensive logging of model training steps and hyperparameter choices to enable traceability and auditing, and (2) regular validation and stress-testing of models to ensure stability and fairness in outcomes. These frameworks emphasize the need for comprehensive logging, explainability, and regular review of optimization choices as part of responsible AI development.

Ethical & Societal Implications

Gradient descent, while technical in nature, has significant societal impacts due to its influence on model performance and fairness. Poorly governed optimization can exacerbate biases, leading to discriminatory outcomes in sensitive sectors such as healthcare or finance. Lack of transparency in gradient descent configurations may hinder accountability and public trust, especially when decisions are automated. Additionally, computational inefficiency can increase environmental impact. Ethical governance requires ensuring that optimization choices are documented, traceable, and regularly audited to minimize harm and uphold societal values.

Key Takeaways

Gradient Descent is a core optimization technique in machine learning.; Choice of hyperparameters critically affects model accuracy and fairness.; Governance frameworks require documentation and monitoring of optimization methods.; Improper use can lead to bias, instability, or lack of transparency.; Regular audits and explainability are essential for responsible AI deployment.

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