In this supplementary material, we first present the details of the conditional score network in Sec. 2. Sec. 4. Finally, we conduct experiments on Chinese MER dataset CH-SIMS [ I) which is subsequently fixed for the model (i.e., not learnable). Table 1: Hyperparameter settings in IMDer.Hyperparameter CMU-MOSI CMU-MOSEI Optimizer Adam Adam Batch size 32 128 Learning rate 0.001 0.002 σ used in our stochastic differential equation 25 25 Number of iterations for Euler-Maruyama solver 500 500 Shallow Feature Extractor Kernel size for E CH-SIMS contains 2281 refined video segments with fine-grained annotations of modalities. For vision modality, we use MultiComp OpenFace2.0 The experimental results are listed in the Tab. 3. Obviously, our proposed IMDer consistently achieves better results than MMIN or GCNet under random missing protocol.

Specifically, ingrammar-constrained decoding(GCD), the LLM'soutput must follow agiven grammar. Our algorithm uses prior sample outputs to soundly overapproximate the future grammaticality of different output prefixes.

Understanding the structural relationships among different variables provides critical insights in manyreal-worldapplications, suchasmedicine,economics andeducation [42,62]. Thus,learning graphs from observed data, known as structure learning, has recently made remarkable progress [10,61,63,64]. Formanyapplications, variables inthedata can begathered into semantically meaningful groups, where useful insights are at group level. For example, in finance, one may be interested in how a financial situation influences different industries (i.e.

These images are taken from the last task, so there is no catastrophic interference.