Fisher market equilibrium models have long been a central topic in economics and computation. Recently, they widely used the design implementation of Internet marketplaces. Although classical are well studied can be solved via tractable optimization characterizations, only allow finite number items thus face scalability issues when item space is huge or even continuous. In “Infinite-Dimensional...

“A dispositional tendency to experience negative self-conscious emotions following transgressions or failures live up one's own others' standards is termed as guilt proneness” (Tangney et al., 2007). Guilt usually seen in light and often labelled uncomfortable proneness undesirable, but a common motivation for individuals engage prosocial behaviours manage the their lives. The deliberate action...

We study the structure of EG[2], the class of Eisenberg-Gale markets with two agents. We prove that all markets in this class are rational and they admit strongly polynomial algorithms whenever the polytope containing the set of feasible utilities of the two agents can be described via a combinatorial LP. This helps resolve positively the status of two markets left as open problems by [JV07]: t...

The first child fitted with a cochlear implant was a ten year old boy of who received a single channel device from Dr. William House in 1980 (Eisenberg and House 1982; Eisenberg, Berliner, Thielemeir, Kirk and Tiber 1983). At that time the controversy over the safety and general wisdom of providing children with cochlear implants was raging. Prominent physicians and audiologists at the time, fe...

In the 3-dimensional profile method, the compatibility of an amino acid sequence for a given protein structure is scored as the sum of the preferences of the residues for their environments in the 3D structure. In the original method (Bowie JU, Luthy R, Eisenberg D, 1991, Science 253:164-170), residue environments were quantized into 18 discrete environmental classes. Here, amino acid residue p...

It 'has been frequently observed by those who have worked with l:he precipitin reaction that the sera of protein-immunized animals may contain, at certain times, both precipitin, and, side by side with it, unassimilated remnants of the antigen. Such sera, w'hen taken, are clear, but will show precipitation not only when mixed with dihttions of the antigen, but also when added to other homologou...

We have studied the binding of adenosine diphosphate (ADP) to attached cross-bridges in chemically skinned rabbit psoas muscle fibers and the effect of that binding on the cross-bridge detachment rate constants. Cross-bridges with ADP bound to the active site behave very similarly to cross-bridges without any nucleotide at the active site. First, fiber stiffness is the same as in rigor, which p...

The significance of junctional feet (Franzini-Armstrong 1971) for excitation-contraction (E-C) coupling is suggested by their location in the gap separating the T-system from the sarcoplasmic reticulum (SR). Until now, however, no specific treatment for selectively disrupting junctional feet has been known and the direct evidence relating the presence of feet to the transfer of signals across t...

We consider the problem of large-scale Fisher market equilibrium computation through scalable first-order optimization methods. It is well-known that equilibria can be captured using structured convex programs such as Eisenberg-Gale and Shmyrev programs. Highly performant deterministic full-gradient methods have been developed for these In this paper, we develop new block-coordinate computing e...