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...

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

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

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 angle bisector of the angle subtended by the given points (or their inverses) at the center of the circle. The intersections of this hyperbola with...

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...

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...

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

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...

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

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...

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

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...

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...

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

inverse problems, regularization is a process that converts the answer to a problem to a simpler one. It is often used in solving ill-posed problems or...

(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...

While integer exponents can be defined in any group using products and inverses, arbitrary real exponents, such as this 1.724276…, require other concepts...

solve an inverse problem whereby a model is adjusted until its parameters have the greatest consistency with experimental data. Inverse problems are found...

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

coordinates of that second point. Second geodetic problem (also known as inverse or reverse geodetic problem): given the coordinates of two points, determine...

and Drazin inverses" (PDF). Matematički Vesnik. 49: 163–72. Golub, G. H.; Pereyra, V. (April 1973). "The Differentiation of Pseudo-Inverses and Nonlinear...

In physics, specifically classical mechanics, the three-body problem is to take the initial positions and velocities (or momenta) of three point masses...

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...

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