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An inverse problem in science is the process of calculating from a set of observations the causal factors that produced them: for example, calculating...

numbers? More unsolved problems in mathematics In Galois theory, the inverse Galois problem concerns whether or not every finite group appears as the Galois...

In mathematics and physics, the inverse scattering problem is the problem of determining characteristics of an object, based on data of how it scatters...

kinematic animation problem uses the kinematics equations to determine the pose given the joint angles. The inverse kinematics problem computes the joint...

itself is a smooth function of those parameters. Inverse problems are often ill-posed; for example, the inverse heat equation, deducing a previous distribution...

The inverse problem in optics (or the inverse optics problem) refers to the fundamentally ambiguous mapping between sources of retinal stimulation and...

Kepler problem is a special case of the two-body problem, in which the two bodies interact by a central force that varies in strength as the inverse square...

a solution to a restricted form of the inverse problem using only PIFS; the general form of the inverse problem remains unsolved. As of 1995, all fractal...

Regular PINNs are only able to obtain the solution of a forward or inverse problem on a single geometry. It means that for any new geometry (computational...

In mathematics, the inverse problem for Lagrangian mechanics is the problem of determining whether a given system of ordinary differential equations can...

the inverse model, f → − 1 {\displaystyle {\vec {f}}^{-1}} . If the problem is linear we can use some type of matrix inverse method—often the problem is...

at a time by any sort of a Kalman filter. The computing load of the inverse problem of an ordinary Kalman recursion is roughly proportional to the cube...

of the interesting problems in Schumann resonances studies is determining the lightning source characteristics (the "inverse problem"). Temporally resolving...

Inverse Problems is a peer-reviewed, broad-based interdisciplinary journal for pure and applied mathematicians and physicists produced by IOP Publishing...

to b {\displaystyle \mathbf {b} } . Therefore, in solving the inverse-problem, the inverse mapping operates as a high-pass filter that has the undesirable...

multimodal, some moments may not be defined, etc.). When analyzing an inverse problem, obtaining a maximum likelihood model is usually not sufficient, as...

(n-m)\times m} . After some algebra, it can be shown that a solution to the inverse problem can be expressed as: x = Q [ ( R 1 T ) − 1 b 0 ] {\displaystyle \mathbf...

Given the coordinates of the two points (Φ1, L1) and (Φ2, L2), the inverse problem finds the azimuths α1, α2 and the ellipsoidal distance s. Calculate...

exponentially. The inverse problem, when weight gradients at earlier layers get exponentially larger, is called the exploding gradient problem. Backpropagation...

using Mathematica: InverseSeries[Series[ArcSin[Sqrt[t]] - Sqrt[(1 - t) t], {t, 0, 15}]] For most applications, the inverse problem can be computed numerically...