đŸ§ 
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
  1. Transformers

KV Cache

PreviousTime Complexities of Self-AttentionNextMulti-head Latent Attention

Last updated 3 months ago

Practical Implications of KV Cache

Store the key value for past tokens when auto regressively generating tokens. This is called KV Cache.

Size of KV cache per token = 2 (for key and value) * attention head dim * number of attention heads * number of transformer blocks

if 1 byte for each float number, then for a KV cache size of 2.26M params, it's 4.7 MB per token.

Now if you have let's say 100K of context size, then total cache size becomes = 470 GB of memory.

That's around 140 ms of H100 time given the H100’s HBM bandwidth of 3.3 TB/s. The price per million tokens generated at $2 per hour per H100 would then be $80, around 5 times more expensive than Claude 3.5 Sonnet’s price to the customer (which is likely significantly above its cost to Anthropic itself).

Hence, we would need to reduce this memory size by alot, using different techniques. --> Speculative Sampling with one of them

https://epoch.ai/gradient-updates/how-has-deepseek-improved-the-transformer-architecture#:~:text=What%20is%20the%20KV%20cache%20and%20why%20does%20it%20matter%3F