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

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...

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

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...

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...

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...

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...

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

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...

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...

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

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

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

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

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

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

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

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

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...

the worst case using random self-reducibility. At the same time, the inverse problem of discrete exponentiation is not difficult (it can be computed efficiently...

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

In physics, the phase problem is the problem of loss of information concerning the phase that can occur when making a physical measurement. The name comes...

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

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

in a material. Methods to fully map out the eigenstrain, called the inverse problem of eigenstrain, are an active area of research. Understanding the total...

programming – Learning logic programs from data Intuitive statistics Inverse problem – Process of calculating the causal factors that produced a set of...

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...