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I have a single-label, multi-class classification problem, i.e., a given sample is in exactly one class (say, class 3), but for training purposes, predicting class 2 or 5 is still okay to not penalise the model that heavily.
For example, the ground truth for 1 sample is [0,1,1,0,1] of 5 classes, instead of a one-hot vector. This implies that, the model predicting any one (not necessarily all) of the above classes (2,3 or 5) is fine.
For every batch, the predicted output dimension is of the shape bs x n x nc, where bs is the batch size, n is the number of samples per point and nc is the number of classes. The ground truth is also of the same shape as the predicted tensor.
Eg: When dimensions are 32 x 8 x 5000. There are 32 batch points in a batch (for bs=32). Each batch point has 8 vector points, and each vector point has 5000 classes. For a given batch point, I wish to compute loss across all (8) vector points, compute their average and do so for the rest of the batch points (32). Final loss would be loss over all losses from each batch point.
To overcome the poor ductility of this two-phase (γ+γ/α2) material, novel β-solidifying multi-phase γ-TiAl based alloys were developed to improve the hot workability. In order to study the plastic deformation characteristics of β-stabilised γ-TiAl alloy and find out the feasibility of using computer simulation to analyse the hot deformation process, the rolling process of TiAl billet was simulated by means of DEFORM3D. It is concluded that (1) the changes of the temperatures, stresses and strains at the different regions of the billet were simulated during the entire rolling process, (2) based on the stress and strain distributions of the rolled billet, the forming defects analyse was proceeded and it is concluded that some rolling defects or flaw occur near the head surface or around the side edge during the plastic deformation process. During the rolling process, rolling force decreased with the elevation of rolling temperature and the reduction of rolling rate and pass reduction. Since the cooling rate of the sheet edges is faster with lower temperature, it is easy to generate stress concentrated in edge region during the deformation process. The greater the reduction is and the greater the damage is. In summary, in order to ensure the success of TiAl based alloy sheet rolling, it should be used at higher temperatures, lower rolling reduction rate and slower rolling rate.
This work describes the development and use of a hot-rolled low carbon steel, semi stabilized with boron-titanium to reduce interstitial nitrogen and to act as inclusion morphology agent. The RH vacuum degassing process was used to refine the content range of carbon and manganese, as well to limit the content of residual elements and to optimize the use of this equipment. As performance, criteria was evaluated the mechanical properties, mainly the drawnability, estimated by a semi-quantitative equation. The drawing final performance at customers was monitored.
O trabalho descreve a criacao e uso de um aco laminado a quente com baixo carbono e semi estabilizado ao boro e titanio, elementos que visam reduzir a quantidade de nitrogenio intersticial e atuar como elementos de alteracao de forma de inclusoes. O material foi tratado em desgaseificador RH (Ruhrstahl- Heraeus) visando estreitar as faixas de variacao da composicao de carbono e manganes, bem como limitar os teores dos elementos residuais e para otimizar o uso desse equipamento. Como criterio de desempenho, avaliam-se as propriedades mecanicas gerais, principalmente sua estampabilidade, estimada por uma equacao semi-quantitativa. Acompanhou-se o desempenho no uso final do material em estampagem.
Acos laminados a quente com melhor ductilidade (1) tem sido usados para a fabricacao de componentes estampados de maior espessura, especialmente para o setor automobilistico (2) ou no setor de linha branca. No caso de carcacas de compressores, estes componentes sao obtidos pela estampagem relativamente profunda de uma chapa metalica de modo a obter a forma final, cuja integridade final (ausencia de trincas ou defeitos de conformacao) pode ser relativamente dificil, devido a propria geometria da peca, como e o caso de um carter de caminhao.(1)
E exigida uma boa conformabilidade dos acos descritos, que e uma caracteristica normalmente quantificada por resultados obtidos de ensaios de tracao, especialmente em acos laminados a frio.(3) Neste caso, a conformabilidade de um material esta associada com os seguintes parametros obtidos a partir de um ensaio de tracao simples:
Para obter estas caracteristicas, e importante que o material possua um projeto de liga adequado. O tipo de processamento do aco tambem auxilia bastante, por exemplo, quando o aco sofre tratamento de modificacao da morfologia de inclusoes (globulizacao), obtido eficientemente com adicoes de calcio-silicio (Ca-Si) em fios diretamente no metal liquido, o que leva a um aumento na ductilidade obtida para um determinado grau de resistencia. O processamento na laminacao tambem influencia os valores das propriedades mecanicas no produto final e, consequentemente, de sua ductilidade. Esquemas de passe, temperaturas de laminacao e metodos de resfriamento mais adequados devem ser utilizados apropriadamente, de forma a garantir uma boa conformabilidade do material.
Adicionalmente, a estampabilidade e um tipo particular de conformabilidade caracteristica de materiais que apresentam ductilidade adequada para conformacao por um processo de estampagem, sem gerar rupturas e/ou defeitos que impecam seu uso final. Alem do limite de escoamento e do alongamento, existem duas variaveis de extrema importancia para a analise da estampabilidade de chapas: o expoente de encruamento (n) e o coeficiente de anisotropia plastica (R), tambem conhecido como coeficiente de Lankford. Estas variaveis, R e n, descrevem o comportamento do material ao longo do processo de conformacao e sao empregados para quantificar o desempenho de chapas para estampagem.(4-6)
Muitos criterios tem sido propostos para avaliar a estampabilidade (F) de uma liga.(4) Um deles leva em consideracao uma serie de propriedades mecanicas, podendo ser descrito por uma equacao semi-quantitativa (Equacao 1)(5): 2b1af7f3a8