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These Are Systems
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These Are Systems
A newsletter on probability, applied control theory, and systems thinking
By Jacob Bayless · Launched 3 months ago
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Is the Kalman filter a low-pass filter? Sometimes!
Exploring the relationship between Kalman filtering and optimal frequency domain filtering.
Jacob Bayless
9
13
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Is the Kalman filter a low-pass filter? Sometimes!
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The Kalman filter on a moving target
How the Kalman filter uses its knowledge of a system's dynamics to predict its next move, and why that derives from Bayesian probability rules
Jacob Bayless
Jul 23
5
2
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The Kalman filter on a moving target
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Unstable systems demand fast reflexes
Why systems containing positive feedback loops will always be more prone to bouncing, wobbling, oscillating, jumping, vibrating, overshooting, and…
Jacob Bayless
Jul 18
7
4
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Unstable systems demand fast reflexes
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Voiding the warranty: how the Kalman filter updates on data
In which we explore how the Kalman filter approximates Bayesian probability in its update process, and then push it beyond its limits as we tackle the…
Jacob Bayless
Jun 21
5
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Voiding the warranty: how the Kalman filter updates on data
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Basics: Updating from data
A deep-dive
Jacob Bayless
Jun 9
3
1
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Basics: Updating from data
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Reading Jaynes: Fear not the unknown unknown
From time to time, I’ll post and comment on excerpts from the works of E. T. Jaynes that are particularly interesting or insightful. Here’s one that…
Jacob Bayless
Jun 7
9
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Reading Jaynes: Fear not the unknown unknown
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Inflation, part 1: On shelter futures
A deep-dive
Jacob Bayless
May 19
9
11
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Inflation, part 1: On shelter futures
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You need to know what right-half-plane zeros are
"I need to know about what now?!" Right-half-plane zeros. Or at least, I want you to know about them, because there's a really critical one that's about…
Jacob Bayless
May 8
26
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You need to know what right-half-plane zeros are
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