Results for "local approximation"

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45 results

Universal Approximation Theorem Intermediate

Neural networks can approximate any continuous function under certain conditions.

AI Economics & Strategy
Stochastic Approximation Intermediate

Optimization under uncertainty.

Foundations & Theory
Local Minimum Intermediate

Minimum relative to nearby points.

Foundations & Theory
Surrogate Model Advanced

Fast approximation of costly simulations.

AI in Science
Hessian Matrix Intermediate

Matrix of second derivatives describing local curvature of loss.

AI Economics & Strategy
Central Limit Theorem Advanced

Sum of independent variables converges to normal distribution.

Probability & Statistics
Explainability Intermediate

Techniques to understand model decisions (global or local), important in high-stakes and regulated settings.

Foundations & Theory
Interpretability Intermediate

Studying internal mechanisms or input influence on outputs (e.g., saliency maps, SHAP, attention analysis).

Foundations & Theory
LIME Intermediate

Local surrogate explanation method approximating model behavior near a specific input.

Foundations & Theory
Convex Optimization Intermediate

Optimization problems where any local minimum is global.

AI Economics & Strategy
Non-Convex Optimization Intermediate

Optimization with multiple local minima/saddle points; typical in neural networks.

AI Economics & Strategy
Saddle Point Intermediate

A point where gradient is zero but is neither a max nor min; common in deep nets.

AI Economics & Strategy
Graph Convolution Intermediate

Extension of convolution to graph domains using adjacency structure.

Model Architectures
Saddle Plateau Intermediate

Flat high-dimensional regions slowing training.

Foundations & Theory
Global Minimum Intermediate

Lowest possible loss.

Foundations & Theory
Learning Rate Intermediate

Controls the size of parameter updates; too high diverges, too low trains slowly or gets stuck.

Foundations & Theory
Stochastic Gradient Descent Intermediate

A gradient method using random minibatches for efficient training on large datasets.

Foundations & Theory
Batch Size Intermediate

Number of samples per gradient update; impacts compute efficiency, generalization, and stability.

Foundations & Theory
Activation Function Intermediate

Nonlinear functions enabling networks to approximate complex mappings; ReLU variants dominate modern DL.

Foundations & Theory
Convolutional Neural Network Intermediate

Networks using convolution operations with weight sharing and locality, effective for images and signals.

Neural Networks Computer Vision
Attention Intermediate

Mechanism that computes context-aware mixtures of representations; scales well and captures long-range dependencies.

Transformers & LLMs
SHAP Intermediate

Feature attribution method grounded in cooperative game theory for explaining predictions in tabular settings.

Foundations & Theory
Federated Learning Intermediate

Training across many devices/silos without centralizing raw data; aggregates updates, not data.

Foundations & Theory
Gradient Noise Intermediate

Variability introduced by minibatch sampling during SGD.

AI Economics & Strategy
Loss Landscape Intermediate

The shape of the loss function over parameter space.

AI Economics & Strategy
Sharp Minimum Intermediate

A narrow minimum often associated with poorer generalization.

AI Economics & Strategy
Flat Minimum Intermediate

A wide basin often correlated with better generalization.

AI Economics & Strategy
Second-Order Methods Intermediate

Optimization using curvature information; often expensive at scale.

AI Economics & Strategy
Sparse Attention Intermediate

Attention mechanisms that reduce quadratic complexity.

AI Economics & Strategy
Exploration-Exploitation Tradeoff Intermediate

Balancing learning new behaviors vs exploiting known rewards.

AI Economics & Strategy

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