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   https://doi.org/10.1112/topo.12014  

   Etnyre, John B. ; Furukawa, Ryo ( June 2017 , Journal of Topology)
2. Experimental studies on mechanical properties and ductile-to-brittle transition of ice-silica mixtures: Young's modulus, compressive strength, and fracture toughness: D/B Transition of Ice-Silica Mixtures

   https://doi.org/10.1002/2017JB014029  

   Yasui, Minami ; Schulson, Erland M. ; Renshaw, Carl E. ( August 2017 , Journal of Geophysical Research: Solid Earth)
3. Raman spectral behavior of N 2 , CO 2 , and CH 4 in N 2 –CO 2 –CH 4 gas mixtures from 22°C to 200°C and 10 to 500 bars, with application to other gas mixtures

   https://doi.org/10.1002/jrs.6033  

   Sublett, Jr, D. Matthew ; Sendula, Eszter ; Lamadrid, Hector M. ; Steele‐MacInnis, Matthew ; Spiekermann, Georg ; Bodnar, Robert J. ( November 2020 , Journal of Raman Spectroscopy)

   The Raman spectral behavior of N₂, CO₂, and CH₄in ternary N₂–CO₂–CH₄mixtures was studied from 22°C to 200°C and 10 to 500 bars. The peak position of N₂in all mixtures is located at lower wavenumbers compared with pure N₂at the same pressure (P)–temperature (T) (PT) conditions. The Fermi diad splitting in CO₂is greater in the pure system than in the mixtures, and the Fermi diad splitting increases in the mixtures as CO₂concentration increases at constantPandT. The peak position of CH₄in the mixtures is shifted to higher wavenumbers compared with pure CH₄at the samePTconditions. However, the relationship between peak position and CH₄mole fraction is more complicated compared with the trends observed with N₂and CO₂. The relative order of the peak position isotherms of CH₄and N₂in the mixtures in pressure–peak position space mimics trends in the molar volume of the mixtures in pressure–molar volume space. Relationships between the direction of peak shift of individual components in the mixtures, the relative molar volumes of the mixtures, and the attraction and repulsion forces between molecules are developed. Additionally, the relationship between the peak position of N₂in ternary N₂–CO₂–CH₄mixtures with pressure is extended to other N₂‐bearing systems to assess similarities in the Raman spectral behavior of N₂in various systems.

    

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4. GAGE: Geometry Preserving Attributed Graph Embeddings

   https://doi.org/10.1145/3488560.3498467  

   Kanatsoulis, Charilaos I. ; Sidiropoulos, Nicholas D. ( February 2022 , 15th ACM Conference on Web Search and Data Mining (WSDM))

   Node embedding is the task of extracting concise and informative representations of certain entities that are connected in a network. Various real-world networks include information about both node connectivity and certain node attributes, in the form of features or time-series data. Modern representation learning techniques employ both the connectivity and attribute information of the nodes to produce embeddings in an unsupervised manner. In this context, deriving embeddings that preserve the geometry of the network and the attribute vectors would be highly desirable, as they would reflect both the topological neighborhood structure and proximity in feature space. While this is fairly straightforward to maintain when only observing the connectivity or attribute information of the network, preserving the geometry of both types of information is challenging. A novel tensor factorization approach for node embedding in attributed networks is proposed in this paper, that preserves the distances of both the connections and the attributes. Furthermore, an effective and lightweight algorithm is developed to tackle the learning task and judicious experiments with multiple state-of-the-art baselines suggest that the proposed algorithm offers significant performance improvements in downstream tasks. 

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5. Low Treewidth Embeddings of Planar and Minor-Free Metrics

   https://doi.org/10.1109/FOCS54457.2022.00105  

   Filtser, Arnold ; Le, Hung ( October 2022 , The 63rd Annual Symposium on Foundations of Computer Science (FOCS 2022))