In his post-war writings, Wittgenstein makes several comments on particularly “fitting” (treffende) words. However, the nature of this quality remains unclear and elusive. paper, I present some suggestions about what one might learn from Wittgenstein’s comments, though my purpose is not primarily exegetical, but rather simply to reflect upon a word “fitting”. discuss options; first that it cont...

This paper considers the problem of approximating the inverse of the wave-equation Hessian, also called normal operator, in seismology and other types of wave-based imaging. An expansion scheme for the pseudodifferential symbol of the inverse Hessian is set up. The coefficients in this expansion are found via least-squares fitting from a certain number of applications of the normal operator on ...

Xenograft trials allow tumor growth in human cell lines to be monitored over time in a mouse model. We consider the problem of inferring the effect of treatment combinations on tumor growth. A piecewise quadratic model with flexible phase change locations is proposed to model the effect of change in therapy over time. Each piece represents a growth phase, with phase changes in response to chang...