Noise That Works for Us ✛ ✎

Original: "Noise and Function"
arXiv:1608.04824 · 2016-08-17 · arXiv non-exclusive · independent analysis · 3 min
Random fluctuations don't just interfere; they also help systems cross thresholds, from image digitization to climate and ant behavior.

An old aviation instrument sometimes sticks: the needle catches on the scale and doesn't move, even though the plane is already changing altitude. Engineers found a simple solution: add a slight vibration. The shaking doesn't hinder; on the contrary, it helps the needle break free and show the truth. The same trick works not only in the cockpit but also in computers, in Earth's climate, and even in an anthill.

When a photo is converted to digital form, the brightness of each pixel is rounded to the nearest level. If there are few levels, the image becomes coarse and fine details are lost. But if you add a bit of random fluctuation before rounding, some pixels will jump over the threshold upward and some downward. On average, the eye sees the same shades as in the original. Graininess appears, but details are preserved. This technique is called dithering, and it sounds like noise that saves the image.

Here, noise acts as a springboard: a weak signal cannot jump over the threshold on its own, but a random push lifts it at the right moment.

Earth's climate also has thresholds. There are cold epochs with vast glaciers and warm ones like today. The transition between them can be imagined as a ball in a pit: to roll into the neighboring pit, it needs a push. Earth's orbit changes slightly over time, but these changes are not enough to shift the climate. However, if you add random weather fluctuations, sometimes they coincide with the orbital push and toss the system over the threshold. Thus, noise explains why ice ages alternate roughly every hundred thousand years.

Ants of the species Pheidole megacephala search for food by leaving a chemical trail. When food runs out, scouts find new sources and mark the path to them. But not all ants follow the markers perfectly; some veer off course. Scientists built a model in which ants with zero error rate got stuck on the old trail even when new food appeared nearby. Colonies where errors occurred switched successfully. An individual ant's mistake looks like noise, but for the whole colony it's a way to avoid being permanently stuck.

Living cells also contain noise: genes turn on and off not strictly on schedule but with random fluctuations. Perhaps this noise helps cells respond more quickly to environmental changes.

Today, engineers deliberately add noise to digital cameras and audio recordings to preserve details. Biologists are beginning to see the "errors" of living systems not as defects but as a tuning that evolution selected for flexibility. If we understand what level of noise is optimal for each system, we could create sensors that hear the faintest signals and drugs that activate only at the right moment. Noise ceases to be an obstacle and becomes a tool.

The term 'dithering' comes from mechanical vibrations added to aircraft instruments to prevent needles from sticking. Later, the same principle was applied to digital audio and images.

In Stanislaw Lem's novel 'Solaris', the planet's ocean generates complex structures from random fluctuations, echoing the idea that noise can be a source of order, not just interference.

Scientists
Albert EinsteinJascha Sohl-Dickstein
Concepts
statistical noise noise cancellation echo wind stochastic jitter stochastic self organization redundancy glitch artifact Filtering sound wave stimulus random fluctuation signal averaging instability thermal chaos perturbation signal processing diffraction