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📚TheoryIntermediate

Recurrent Neural Network Theory

A Recurrent Neural Network (RNN) processes sequences by carrying a hidden state that is updated at every time step using h_t = f(W_h h_{t-1} + W_x x_t + b).

#recurrent neural network#rnn#backpropagation through time+12
∑MathBeginner

Mean Squared Error (MSE)

Mean Squared Error (MSE) measures the average of the squared differences between true values and predictions, punishing larger mistakes more strongly.

#mean squared error
Advanced
Filtering by:
#cpp implementation
#mse
#sse
+11
📚TheoryIntermediate

Spectral Normalization

Spectral normalization rescales a weight matrix so its largest singular value (spectral norm) is at most a target value, typically 1.

#spectral normalization#spectral norm#singular value+12
∑MathIntermediate

Binomial Theorem and Identities

The binomial theorem expands (x + y)^n into a sum of terms using binomial coefficients that count how many ways to choose k items from n.

#binomial theorem#binomial coefficient#pascal's triangle+12
⚙️AlgorithmAdvanced

Mo's Algorithm - With Updates

Mo's algorithm with updates treats array modifications as a third dimension called time and answers range queries on the correct version of the array.

#mo's algorithm with updates#time dimension#offline range queries+11
🗂️Data StructureIntermediate

Monotonic Stack

A monotonic stack is a stack that keeps its elements in increasing or decreasing order to answer range queries in linear time.

#monotonic stack#next greater element#previous smaller element+12