Theorem 4.Let 1, 2 betwok-sparsevectorsinRn thatsatisfy Assumption 2. Let >0 bethelargestrealsuchthat 1, 2 2 Zn.

To push the boundaries of molecular representation learning, we present PhysChem, a novel neural architecture that learns molecular representations via fusing physical and chemical information of molecules.

At each round t N, the agent must select one arm from a fixed set ofn arms, denoted by [n], {1,...,n}, using apolicy, based on the feedback from the previous rounds.

At each round t N, the agent must select one arm from a fixed set ofn arms, denoted by [n], {1,...,n}, using apolicy, based on the feedback from the previous rounds.

Over half of cancer patients experience long-term pain management challenges.

Using matrices, =U UT, where isadiagonal U is whosecolumns .

Unluckily, compared to content-based image retrieval [5, 6, 7, 8, 9], IBSR is challenging due to the large appearance gap between 3D shapes and 2D images.