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Mark Ollila

Publications and source records attributed to Mark Ollila.

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DecompDreamer: A Composition-Aware Curriculum for Structured 3D Asset Generation

Current text-to-3D methods excel at generating single objects but falter on compositional prompts. We argue this failure is fundamental to their optimization schedules, as simultaneous or iterative heuristics predictably collapse under a combinatorial explosion of conflicting gradients, leading to entangled geometry or catastrophic divergence. In this paper, we reframe the core challenge of compositional generation as one of optimization scheduling. We introduce DecompDreamer, a framework built on a novel staged optimization strategy that functions as an implicit curriculum. Our method first establishes a coherent structural scaffold by prioritizing inter-object relationships before shifting to the high-fidelity refinement of individual components. This temporal decoupling of competing objectives provides a robust solution to gradient conflict. Qualitative and quantitative evaluations on diverse compositional prompts demonstrate that DecompDreamer outperforms state-of-the-art methods in fidelity, disentanglement, and spatial coherence.

cs.CV

Applications of substring searching to group presentations

An important way for describing groups is by finite presentations. Large presentations arise in practice which are poorly suited for either human or computer use. Presentation simplification processes which take bad presentations and produce good presentations have been developed. Substantial use is made of substring searching and appropriate techniques for this context are described. Effective use is made of signatures and change flags. Change flags are shown to be the most beneficial of the methods tested here, with very significant performance improvement. Experimental performance figures are given.

math.GR