Neural Information Processing Systems http://nips.cc/

As machine learning models in critical fields increasingly grapple with multi-modal data, they face the dual challenges of handling a wide array of modalities, often incomplete due to missing elements, and the temporal irregularity and sparsity of collected samples. Successfully leveraging this complex data, while overcoming the scarcity of high-quality training samples, is key to improving these models' predictive performance. We introduce "FuseMoE", a mixture-of-experts framework incorporated with an innovative gating function. Designed to integrate a diverse number of modalities, FuseMoE is effective in managing scenarios with missing modalities and irregularly sampled data trajectories. Theoretically, our unique gating function contributes to enhanced convergence rates, leading to better performance in multiple downstream tasks. The practical utility of FuseMoE in the real world is validated by a diverse set of challenging prediction tasks.

Neural Information Processing Systems http://nips.cc/

Convex Optimizationwithout Projection Steps.arXivmath.OC, August 2011.

Let t(s, a)= Q(s, a) ˆQ (s, a)andFt(s, a)= rpeer+ maxb2 AQ(s0,b) ˆQ (s, a). In(A4), we robust DQNalgorithmwithpeersampling, inwhichtheoriginlossis`((s, a), y), also calibrated.

We consider the problem of automatic posterior inference. A scientist or expert creates a model p(z,x) for latent variablesz and observed variablesx.

Current approximate posteriors in Bayesian neural networks (BNNs) exhibit a crucial limitation: they fail to maintain invariance under reparameterization, i.e.