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

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

(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...

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

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...

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...

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...

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...

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

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

was proved independently by Kullback, Csiszár, and Kemperman. A precise inverse of the inequality cannot hold: for every ε > 0 {\displaystyle \varepsilon...

b{\sqrt {1+e'^{2}\cos ^{2}\alpha _{0}}}} and b {\displaystyle b} .) The "inverse problem" is the determination of s 12 {\displaystyle s_{12}} , α 1 {\displaystyle...

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

well-posed in the sense above are termed ill-posed. Inverse problems are often ill-posed; for example, the inverse heat equation, deducing a previous distribution...

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...

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

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

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...

difficulty is that the inverse problem does not have a unique solution (i.e., there are infinite possible "correct" answers), and the problem of defining the...

match with the magnetization that is observed. Advantage Iterative inverse problem solving is faster than Cardiac gating and doesn't involve the patient...

from primary structure. Structure prediction is different from the inverse problem of protein design. Protein structure prediction is one of the most...

solving the inverse problem: given f ( x ) = y , {\displaystyle f(x)=y,} one is solving for x, and thus the condition number of the (local) inverse must be...

Inverse dynamics is an inverse problem. It commonly refers to either inverse rigid body dynamics or inverse structural dynamics. Inverse rigid-body dynamics...

(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...

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

geodesic problems usually considered are: the direct geodesic problem or first geodesic problem, given A, α1, and s12, determine B and α2; the inverse geodesic...

work on regularization of inverse problems also worked on this problem. He explains in detail how to solve the ERT problem in a simple case of 2-layered...

smaller than one part in a thousand. Surface reconstruction is an inverse problem. The goal is to digitally reconstruct a smooth surface based on a large...

interested in determining the Earth's interior structure, to solve the inverse problem: in 1970 three geophysicists improved the previous method and introduced...