Backpropagation: The Forgotten Russian Algorithm That Ignited Modern AI

The backpropagation algorithm isn’t just a technical trick — it is the ignition button that launched the modern AI revolution. Originally rooted in Soviet mathematical research before being popularized in the West, backprop transformed neural networks from brittle toy systems into scalable engines of intelligence. This blog explores the origins, mechanics, historical controversies, and enduring impact of backpropagation, explaining why it remains the central pillar of deep learning decades later.

September 19, 2025

Introduction: Why Backprop is the DNA of AI

Imagine if every time you wanted to teach a child math, you had to manually rewrite their neurons for each lesson. That was neural networks before backpropagation.

Today, every modern AI system — from GPT-4 and MidJourney to AlphaFold and Tesla’s autopilot — runs on the same invisible algorithm: backpropagation.

But here’s the twist: the West credited Rumelhart, Hinton, and Williams in 1986 as the “inventors” of backprop. Yet the roots trace back decades earlier to Russian mathematicians like Alexey Ivakhnenko, who laid much of the groundwork under the Soviet Union.

This is the story of the algorithm that gave machines the ability to learn from their mistakes.

Section 1: What is Backpropagation?

1.1 The Core Idea

Backpropagation is short for “backward propagation of errors.”

It works by comparing what a neural network predicts against the truth, then correcting itself step by step.

Steps simplified:

  1. Forward pass: Input flows through the network, producing an output.
  2. Error calculation: The output is compared to the true label using a loss function.
  3. Backward pass: The error is propagated backward through each layer, computing gradients.
  4. Weight update: Each weight shifts slightly to reduce future error.

1.2 The Math Essence

For each weight wijw_{ij}wij​:

Δwij=−η⋅∂L∂wij\Delta w_{ij} = - \eta \cdot \frac{\partial L}{\partial w_{ij}}Δwij​=−η⋅∂wij​∂L​

  • LLL: Loss function
  • η\etaη: Learning rate
  • ∂L∂wij\frac{\partial L}{\partial w_{ij}}∂wij​∂L​: Gradient computed via chain rule

This simple but universal formula is why backprop works for any differentiable model: CNNs, RNNs, transformers, diffusion models, and beyond.

1.3 Why It Matters

Before backprop, neural nets were stuck at 1–2 layers. With it, we got deep learning — multi-layer models that scale to billions of parameters.

Section 2: The Forgotten Russian Origins

Western textbooks celebrate 1986’s Rumelhart–Hinton–Williams paper as the “birth” of backprop. But Soviet scientists were experimenting with similar recursive training decades earlier.

  • 1967: Alexey Ivakhnenko introduced the Group Method of Data Handling (GMDH) — essentially the first deep learning algorithm using polynomial activation functions.
  • 1970s: Russian researchers explored recursive gradient methods, anticipating ideas behind backprop.
  • Western AI largely ignored these works due to Cold War politics and language barriers.

Thus, when Hinton & co. rediscovered backprop in the ’80s, the West hailed it as revolutionary — while in Russia, it was “already known.”

Section 3: Why Backprop Changed Everything

3.1 Training Multi-Layer Nets

Backprop turned depth from a theoretical dream into a practical reality. Suddenly, networks with many layers became trainable.

3.2 One Pass, All Gradients

Naïve gradient computation scales linearly with parameters (a billion weights = a billion runs). Backprop does it in two passes (forward + backward). That’s the difference between feasible and impossible at GPT-scale.

3.3 Scaling Laws

Kaplan et al. (2020) showed predictable scaling of model performance with more compute + parameters. This is only possible because backprop provides stable optimization across scales.

3.4 Automated Feature Discovery

Instead of hand-coding edge detectors, networks learned them. Backprop let machines invent their own features — edges → textures → shapes → objects.

3.5 Every Modern Breakthrough = Backprop

  • GANs, Diffusion, Style Transfer: all gradient-driven.
  • AlphaFold: end-to-end backprop through protein folding.
  • RLHF in ChatGPT: fine-tuned with backprop.

Every single AI advance of the past decade is “new loss + new architecture + backprop.”

Section 4: Case Studies

4.1 AlexNet (2012)

Breakthrough in ImageNet competition, error cut nearly in half. Only possible due to backprop on GPUs.

4.2 AlphaGo (2016)

Backprop trained policy + value networks to superhuman Go.

4.3 GPT-4 (2023)

175B+ parameters, but the same principle: backprop.

4.4 AlphaFold2

Backprop applied to biology: training networks that predict 3D protein structures with atomic accuracy.

Section 5: Misconceptions & Criticism

  • “Backprop is biologically implausible.”
    True, brains likely don’t use exact backprop. But analogues like predictive coding exist.
  • “New methods will replace it.”
    Even novel methods (e.g., meta-learning, Hebbian updates) usually reduce back to backprop for scalability.

Section 6: The Cognitive Analogy

Backprop = machine learning how to learn.
It mimics human reflection:

  1. Try.
  2. Fail.
  3. Identify mistake.
  4. Correct path.

This recursive correction loop is arguably the essence of intelligence itself.

Section 7: Why It’s Still Relevant in 2025

Despite newer buzzwords (transformers, RAG, RLHF), every single AI system in production is trained with backprop. It remains:

  • Scalable (fits GPUs/TPUs).
  • General (any differentiable model).
  • Efficient (forward + backward pass).

Without it, deep learning collapses.

Section 8: Historical Analogy

If science had “pillars”:

  • Electricity → Ohm’s Law
  • Biology → DNA
  • Computer science → Quicksort
  • AI → Backpropagation

It is the invisible law that transformed AI from dreams into billion-dollar reality.

Conclusion: The Algorithm That Let Machines Learn

Backpropagation isn’t just a piece of math. It is a principle: compare, understand, correct.

It embodies the act of learning itself. That’s why every AI system today — from Siri to GPT-5 — still carries backprop at its core.

The West may have “rediscovered” it, but its true roots stretch back to Russia. Like DNA, it belongs to everyone — the universal ignition button of machine intelligence.

  • Detailed derivations (chain rule examples, gradient flows).
  • More Soviet case history (Ivakhnenko’s GMDH in detail).
  • Code snippets (PyTorch/TensorFlow examples).
  • Visual diagrams (forward/backward pass).
  • Extended analysis of scaling laws and compute economics.

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