Physical Statistics
Connect probability, momentum, and learning through four interactive statistical experiments.
Explore the survey 25 min All fields By Field · Formal worlds Survey · 4 interactive demos Survey · 2 interactive demos Survey · 2 interactive demos Survey · 4 interactive demos Survey · 3 interactive demos Survey · 2 interactive demos Survey · 3 interactive demos Survey · 3 interactive demos With an interactive demo With an interactive demo Survey · 2 interactive demos Survey · 2 interactive demos Survey · 2 interactive demos Survey · 2 interactive demos Survey · 3 interactive demos Survey · 3 interactive demos Survey · 4 interactive demos Survey · 2 interactive demos Survey · 2 interactive demos Survey · 4 interactive demos Survey · 3 interactive demos Keep crossing boundaries
Statistics
How many different stories fit the same probability?
Connect probability, evidence, and the dynamics of learning.
14 readings · 4 subfieldsPhysical Statistics
What new statistical tools follow from probability as velocity?
Statistical worldlines · Proper exposure · Invariant disagreement · Evidence budgets
Bayesian inference
Can a new context explain the disagreement hidden in a pooled estimate?
Bayesian inference · Graphical models · Conditional probability
When a question changes the shape of uncertainty
Turn questions, reshape uncertainty, and build probability menus that can keep growing.
Explore the survey 17 minThe hidden springs of a belief
Find Gaussian springs inside a Beta belief, then listen with complex rotating arrows.
Explore the survey 17 minWhen evidence takes different roads
Reconstruct beliefs from report fragments, hidden causes, active questions, and complex joint tables.
Explore the survey 26 minWhen the numbers refuse to fit
Test joint possibilities, pay for signed weights, and follow evidence through time.
Explore the survey 21 minHow much can one trial teach?
Separate surprise from learning, watch mass cancel Fisher curvature, and find pi in the price of coding an unknown coin.
Explore the survey 18 minHow to read a living landscape
Turn cell axes, follow molecular journeys, and discover new categories without losing old answers.
Explore the survey 16 minA brain in the evidence cone
Follow an animal through sensing, learning, memory, clocks, and movement.
Explore the survey 13 minThe voltage and the open doors
The same voltage can conceal different numbers of open channels, and different responses.
Read the article 12 minMove to ask a better question
Move a sensor, combine cues, and discover what the next reading can reveal.
Read the article 12 minA compass can hide two destinations
Compare directional populations that share one average but tell different stories.
Explore the survey 10 minWhat a sleeping brain can rehearse
Explore how new observations, fading evidence, and rehearsal change a memory.
Explore the survey 11 minDistributions
What survives a change of variables, and what requires a law of motion?
Beta and Gamma distributions · Cauchy distributions · Stochastic processes
When a question changes the shape of uncertainty
Turn questions, reshape uncertainty, and build probability menus that can keep growing.
Explore the survey 17 minThe hidden springs of a belief
Find Gaussian springs inside a Beta belief, then listen with complex rotating arrows.
Explore the survey 17 minEvolution has an order
Explore selection, mutation, lineage histories, and the Beta distributions of wandering populations.
Explore the survey 18 minβ-Vale networks: one state, many ways to compute
Explore two pools of neural drive through static, episodic, and spiking networks.
Explore the survey 14 minPhysical Statistics
Connect probability, momentum, and learning through four interactive statistical experiments.
Explore the survey 25 minExtended probability
Which algebraic operations preserve an ordinary probability distribution?
Matrix probability · Complex probability · Split-complex probability · Negative probability
When a question changes the shape of uncertainty
Turn questions, reshape uncertainty, and build probability menus that can keep growing.
Explore the survey 17 minThe hidden springs of a belief
Find Gaussian springs inside a Beta belief, then listen with complex rotating arrows.
Explore the survey 17 minWhen evidence takes different roads
Reconstruct beliefs from report fragments, hidden causes, active questions, and complex joint tables.
Explore the survey 26 minWhen the numbers refuse to fit
Test joint possibilities, pay for signed weights, and follow evidence through time.
Explore the survey 21 min