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Inverse Problems are the elite problems of Mathematics.Inverse problems ask the harder question.If all you can see is the output, can you work backward and recover the hidden cause?There is some unknown object, state, or parameter x. A physical system acts on it through a forward map F, and what we measure isy = F(x)In a perfect world, that would be enough. We would just invert the map and recover x from y.But real inverse problems are almost never that clean.Measurements are incomplete. They ar
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Inverse Problems are the elite problems of Mathematics.Inverse problems ask the harder question.If all you can see is the output, can you work backward and recover the hidden cause?There is some unknown object, state, or parameter x. A physical system acts on it through a forward map F, and what we measure isy = F(x)In a perfect world, that would be enough. We would just invert the map and recover x from y.But real inverse problems are almost never that clean.Measurements are incomplete. They ar
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