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Concepts8

Groups

๐Ÿ“Linear Algebra15๐Ÿ“ˆCalculus & Differentiation10๐ŸŽฏOptimization14๐ŸŽฒProbability Theory12๐Ÿ“ŠStatistics for ML9๐Ÿ“กInformation Theory10๐Ÿ”บConvex Optimization7๐Ÿ”ขNumerical Methods6๐Ÿ•ธGraph Theory for Deep Learning6๐Ÿ”ตTopology for ML5๐ŸŒDifferential Geometry6โˆžMeasure Theory & Functional Analysis6๐ŸŽฐRandom Matrix Theory5๐ŸŒŠFourier Analysis & Signal Processing9๐ŸŽฐSampling & Monte Carlo Methods10๐Ÿง Deep Learning Theory12๐Ÿ›ก๏ธRegularization Theory11๐Ÿ‘๏ธAttention & Transformer Theory10๐ŸŽจGenerative Model Theory11๐Ÿ”ฎRepresentation Learning10๐ŸŽฎReinforcement Learning Mathematics9๐Ÿ”„Variational Methods8๐Ÿ“‰Loss Functions & Objectives10โฑ๏ธSequence & Temporal Models8๐Ÿ’ŽGeometric Deep Learning8

Category

๐Ÿ”ทAllโˆ‘Mathโš™๏ธAlgo๐Ÿ—‚๏ธDS๐Ÿ“šTheory

Level

AllBeginner
โˆ‘MathIntermediate

Discount Factor & Return

The discounted return G_t sums all future rewards but down-weights distant rewards by powers of a discount factor ฮณ.

#discount factor#discounted return#reinforcement learning+12
๐Ÿ“šTheoryIntermediate

RLHF Mathematics

RLHF turns human preferences between two model outputs into training signals using a probabilistic model of choice.

#rlhf
Intermediate
Advanced
Group:
Reinforcement Learning Mathematics
#bradley-terry
#pairwise comparisons
+11
๐Ÿ“šTheoryIntermediate

Exploration-Exploitation Tradeoff

The explorationโ€“exploitation tradeoff is the tension between trying new actions to learn (exploration) and using the best-known action to earn rewards now (exploitation).

#multi-armed bandit#exploration exploitation#ucb1+12
๐Ÿ“šTheoryIntermediate

Value Function Approximation

Value function approximation replaces a huge table of values with a small set of parameters that can generalize across similar states.

#reinforcement learning#value function approximation#linear function approximator+12
โš™๏ธAlgorithmIntermediate

PPO & Trust Region Methods

Proximal Policy Optimization (PPO) stabilizes policy gradient learning by preventing each update from moving the policy too far from the previous one.

#ppo#trust region#trpo+11
โš™๏ธAlgorithmIntermediate

Temporal Difference Learning

Temporal Difference (TD) Learning updates value estimates by bootstrapping from the next state's current estimate, enabling fast, online learning.

#temporal difference learning#td(0)#sarsa+12
โˆ‘MathIntermediate

Markov Decision Processes (MDP)

A Markov Decision Process (MDP) models decision-making in situations where outcomes are partly random and partly under the control of a decision maker.

#markov decision process#value iteration#policy iteration+12
๐Ÿ“šTheoryIntermediate

Bellman Equations

Bellman equations express how the value of a state or action equals immediate reward plus discounted value of what follows.

#bellman equation#value iteration#policy iteration+12