🧠
AI
  • Artificial Intelligence
  • Intuitive Maths behind AI
    • Probability
    • Information Theory
    • Linear Algebra
    • Calculus
  • Overview
  • Research Ideas and Philosophy
  • Basic Principles
  • Information Theory
    • Entropy
    • Log Probability
  • Probability & Statistics
    • Random Variables
    • Probability
      • Probablistic Equations
      • Bayes Theorem
      • Probability Distributions & Processes
    • Statistics
      • Measures
      • Z-Scores
      • Covariance and Correlation
      • Correlation vs Dependance
    • Mahalanobis vs Chi-Squared
    • Uncertainty
    • Statistical Inference
      • Graphical Models
      • Estimator vs Parameter
      • Estimation
      • Bayesian/Probabilistic Inference
        • Probabilistic Modelling
        • Problems of Bayesian Inference
        • Conjugate Priors
        • Dirichlet Distribution/Process
        • Posterior Predictive Distribution
      • Sampling-Based Inference
    • Sampling
      • Rejection Sampling
      • Reservoir Sampling
      • Thompson Sampling
    • Bayesian Inference
    • Regression
    • Markov
    • Monte Carlo
      • Monte Carlo Estimators
      • Importance Sampling
    • Kernel Density Estimation
    • Gaussian Processes
    • Gaussian Soap Bubble
  • Linear Algebra
    • Vector Space and Matrices
    • Geometry of System of Linear Equations
    • Determinants
    • Transformations
    • Geometrical Representation
    • Positive (Semi)Definite Matrices
    • Matrix Interpretation
    • Dot Product as Linear Transformation and Duality of Vector-Linear Transformation
    • Norms
    • Linear Least Square
    • Matrix Decomposition
      • QR Decomposition
      • Cholesky Decomposition
      • Eigen Value Decomposition
      • SVD - Singular Value Decomposition
    • Matrix Inversion
    • Matrix Calculus
    • Matrix Cookbook
    • Distributed Matrix Algebra
    • High Dimensional Spaces
  • Optimization
    • Derivatives
      • Partial Derivative
      • Directional Derivative
      • Gradient
      • Jacobian
    • Regularization
    • Gradient Descent
    • Newton's Method
    • Gauss-Newton
    • Levenberg–Marquardt
    • Conjugate Gradient
    • Implicit Function Theorem for optimization
    • Lagrange Multiplier
    • Powell's dog leg
    • Laplace Approximation
    • Cross Entropy Method
    • Implicit Function Theorem
  • Statistical Learning Theory
    • Expectation Maximization
  • Machine Learning
    • Clustering
    • Bias Variance Trade-off
  • Deep Learning
    • PreProcessing
    • Convolution Arithmetic
    • Regularization
    • Optimizers
    • Loss function
    • Activation Functions
    • Automatic Differentiation
    • Softmax Classifier and Cross Entropy
    • Normalization
    • Batch Normalization
    • Variational Inference
    • VAE: Variational Auto-Encoders
    • Generative vs Discriminative
      • Generative Modelling
    • Making GANs train
    • Dimensionality of Layer Vs Number of Layers
    • Deep learning techniques
    • Dilated Convolutions
    • Non-Maximum Suppression
    • Hard Negative Mining
    • Mean Average Precision
    • Fine Tuning or Transfer Learning
    • Hyper-parameter Tuning
  • Bayesian Deep Learning
    • Probabilistic View
    • Uncertainty
    • Variational Inference for Bayesian Neural Network
  • Reinforcement Learning
    • General
    • Multi-armed Bandit
    • Imitation Learning
    • MDP Equations
    • Solving MDP with known Model
    • Value Iteration
    • Model Free Prediction and Control
    • Off Policy vs On Policy
    • Control & Planning from RL perspective
    • Deep Reinforcement Learning
      • Value Function Approximation
      • Policy Gradient
        • Algorithms
    • Multi Agent Reinforcement Learning
    • Reinforcement Learning - Sutton and Barto
      • Chapter 3: Finite Markov Decision Processes
      • Chapter 4: Dynamic Programming
    • MBRL
  • Transformers
    • Tokenziation
    • Embedding
      • Word Embedding
      • Positional Encoding
    • Encoder
    • Decoder
    • Multi-head Attention Block
    • Time Complexities of Self-Attention
    • KV Cache
    • Multi-head Latent Attention
    • Speculative Decoding
    • Flash Attention
    • Metrics
  • LLMs
    • LLM Techniques
    • LLM Post-training
    • Inference/Test Time Scaling
    • Reasoning Models
    • Reward Hacking
  • Diffusion Models
    • ImageGen
  • Distributed Training
  • State Space Models
  • RLHF
  • Robotics
    • Kalman Filter
    • Unscented Kalman Filter
  • Game Theory and ML
    • 1st Lecture - 19/01
    • Lecture 2 - 22/01
    • Lecture 4: Optimization
  • Continual Learning
    • Lecture - 21/01
    • iCaRL: Incremental Classifier and Representation Learning
    • Variational Continual Learning
  • Computer Vision
    • Hough Transform
    • Projective Geometry
      • Extrinsic and Intrinsic Parameters
      • Image Rectification
    • Tracking
    • Optical Flow
    • Harris Corner
    • Others
  • Papers
    • To Be Read
    • Probabilistic Object Detection and Uncertainty Estimation
      • BayesOD
      • Leveraging Heteroscedastic Aleatoric Uncertainties for Robust Real-Time LiDAR 3D Object Detection
      • Gaussian YOLOv3
      • Dropout Sampling for Robust Object Detection in Open-Set Condition
      • *Sampling Free Epistemic Uncertainty Estimation using Approximated Variance Propagation
      • Multi-Task Learning Using Uncertainty to Weigh Losses for Scene Geometry and Semantics
      • Can We Trust You? On Calibration of Probabilistic Object Detector for Autonomous Driving
    • Object Detection
    • Temporal Fusion in Object Detection/ Video Object Detection
    • An intriguing failing of convolutional neural networks and the CoordConv solution
    • A Neural Algorithm of Artistic Style - A.Gatys
  • Deep Learning Book
    • Chapter 4: Optimization
    • Chapter 5: Machine Learning Basics
    • Chapter 6: Deep FeedForward Networks
  • Python
    • Decorators
    • Packages
      • Pip
    • Gotchas
    • Async functions
  • Computer Science
  • TensorFlow
  • Pytorch
    • RNN/LSTM in Pytorch
    • Dataset/ Data loader
    • Resuming/Loading Saved model
  • Programming
    • Unit Testing
    • How to write code
  • General Software Engineering
    • SSH tunneling and Ngrok
  • How To Do Research
  • Resources
  • ROS for python3
  • Kitti
Powered by GitBook
On this page
  • Speculative Execution
  • Speculative Sampling
  • Speculative Decoding
  • Multi-token prediction for Sepculative Decoding
  1. Transformers

Speculative Decoding

PreviousMulti-head Latent AttentionNextFlash Attention

Last updated 3 months ago

  • Faster inference for LLMs

  • Parallel token computation

  • For predicting 10 token in a sentence, 10 runs/decoding steps of LLMs has to be done (in series).

    • Slow

  • Key observations about generation with LLMs

    • Some token are easier to predict, some need more compute/remembrance to predict.

      • "what's the square root of 7? Square root of 7 is 2.blah blah"

      • In above sentence, 7 is simply copying previous token, where as for 2.blah blah we will gave to do some computation.

    • Memory is the bottleneck with GPUs, because parallelisation is very efficient for computation.

      • Memory read/write is about 100 times slower than compute. i.e for every byte read in to memory, we can do about 100 compute operations in the meanwhile we read

Perform some operation in speculation of it happing in the future. ex, you are uploading an instagram image -> Already upload the image on the server when you editing in the instagram app locally, now if you actually move head with uploading, image will be uploaded instantly as it was uploading in the background, if you don't move ahead and discard your edits, then remove the uploaded image.

Speculative Sampling

Speculative Decoding

  • Use smaller network as proxy true model. Keep predicting with it and use larger model as verifier (true) model.

  • The prediction is done with a smaller model here

Multi-token prediction for Sepculative Decoding

Speculative Execution
Looking back at speculative decoding
Logo
How has DeepSeek improved the Transformer architecture?Epoch AI
Logo
Speculative Decoding — Make LLM Inference FasterAI Science
Logo