# Tuning and Optimizing Machine Learning Models

Source: [https://docs.qualcomm.com/doc/80-63442-4/topic/tuning-and-optimizing-machine-learning-models.html](https://docs.qualcomm.com/doc/80-63442-4/topic/tuning-and-optimizing-machine-learning-models.html)

Parameters, hyperparameters, regularization and optimization

In the process of training deep learning models in frameworks compatible with the [Qualcomm® Neural Processing SDK](https://www.qualcomm.com/developer/software/neural-processing-sdk-for-ai), it is a good
            idea to improve models through tuning and hyperparameter optimization. Why? In any
            machine learning (ML) pipeline, it becomes necessary to enhance model accuracy and to
            shorten the time required to reach acceptable accuracy in last-mile training.

## Parameters and hyperparameters

Any type of ML is a process of predicting and classifying data, for which a wide
                variety of machine learning models exists. The learning algorithm upon which every
                model is based includes parameters — configuration variables internal to the model
                whose value can be estimated from the data being used to train it.

ML models also have hyperparameters so that they can be tuned for better performance.
                Hyperparameters are like tuning knobs for achieving better performance.  
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)

The context of deep learning includes two particular types of techniques for
                optimizing and tuning: regularization and optimization.

## Regularization

Regularization is a group of techniques for resolving the problems that arise out of
                overfitting in statistical models. Overfitting causes poor generalization when the
                model is too complex, such as when the number of parameters is too high compared to
                the number of data points.  
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)

Regularization techniques, including those described below, lead to a preferred level
                of model complexity so that the model predicts better.

## Dropout regularization

The need for dropout regularization (“dropouts”) arises when a large gap is observed
                between the accuracy of the training set and the test set. The need for dropouts can
                also arise from overfitting, when a high variance is observed when applying K-fold
                cross validations.  
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)

To achieve dropout regularization, some neurons in the artificial neural network are
                randomly disabled. That prevents them from being too dependent on one another as
                they learn the correlations. Thus, the neurons work more independently, and the
                artificial neural network learns multiple independent correlations in the data based
                on different configurations of the neurons.  
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)

After dropout regularization, the network cannot rely on any single feature since at
                any given time the feature might be suppressed. The network then spreads out the
                weights, which avoids putting too much weight on any one feature. That prevents the
                neurons from learning too much, which can lead to overfitting.

## Early stopping

Stopping the training before the weights have converged (“early stopping”) can
                improve the generalization capability of the deep neural network.

Data collected for training is split into three different sets: training, validation
                and test. The training set is used for computing the gradient and updating the
                network weights and biases. The error on the validation set is monitored during the
                training process. Normally, the error rate on both the training set and the
                validation set decreases during the initial phase of training. However, the error on
                the validation set usually rises as the network begins to overfit the data, as shown
                    below.  
![](data:image/png;base64,UklGRqYzAABXRUJQVlA4TJkzAAAvcgYsAQfkOrbdNDJEWmYoYOvZ/r+2AmYQPLkNhwGApg1Qn+v/R+yTveFbFEiC60h22waBVimOLbge9+5vRQB8ePMfCWQzsgDaVNiuATWjZuQFhEOzFtagTTgEACpEFcoBNnmB1JRwgBUIBYHlyVsKFQ4FTNYuocosNFXaTsJBOPzzRST900m1WE5uk+n0jQev08fv0ODtN7kKYHu5VX3c7HZ3fP0Z4AcjZRIExEiFBAHlTlEDJiqDoQJMxEhMhN4MKzARY2OiHhITdWtHa9etB9q4bu0wDv1BdBtHa+e968+K1q5buy8N335Aav8iRm06BtNP6VKGr4PkS6fw6Bcf1z6+fVxDAimiMvxFKChPTYqIQtsVLA6mP6rh2pRRjQHGXRvvzOF+2qa//e0rvvSqrp+TB3iOC+MwbtvIkdR/2Zsm7N59I2ICOPTPM+3R0W/jt/Ed9vAdgoF5UnthDwE3y0jhHe2hPbQKp6ppjd1eOd8xHtwkNEYBZoaUNzrBzIQx7EtCMTTu/2UnmuNYMCNftGttRr5gW3a0gzXYMmbkUZL2/X5303SHJtAhHbZJoAkJS3Zzj4Hmb4eqc04J3neaKtXznoroPzVa28K2zUWebUUWH9lWKgmQrJ+QG0kSpOAOTxzhjf/e0N3VXd0jkSii/5DYtpEkqQ3UnTwb3VVJ7/HzbJz0zn/4D/6D/+A/+A/+g//gP/gP/oP/4D/4D/6D/+A/+A/+g//gP/gP/oP/4D/4D/6D/+A/+A/+g//gP/gP/oP/4D/4D/6D/+A/+A/+g//gP/gP/oP/4D/4D/6D/+A/+A/+g//gP/gP/oP/4D/4D/6D/+A/+A/+885/f1ThR6Rku2gVpJRYLrI31AcfWTg+Lj6o+uswmqKz963Cfb/S7408ZPT+J4VzX7dsfFQcfPK+VeOLhZA+tGp8rxDTF6wMYRSexFcKyXfsA1HGLd9zScYOi0ISi51X24lPilTtMx8XcvrAOuAK56Iwd85lhCiYo04hpzymRKrkQwf42EqQ5MURIQqOHZxSJFJVX/gEDPhbFX6cSClC5U6ARQE8Os2k2RYiaOKRqmUhEXOwAAbaaaGcy5tJFOBRuPwYQ0Pcsye8iNBIVQZ1K5D0bQsA49o+LYr0WKPJ1Zl/nDpgpCVl4eQcqv+auJAWRSBvT4FhNKBI1Xy9QH2vsi8FTgmHamNRECKCNraacjzqg7rh6Suof/jnf+J/qPZ/jBhFiobagFvTMZeThUIO//nqmNgiAIbaAEXOubwcXyhI6UPYv78S03+0EkQoV47vyBRy+F+S/2kdaKGhRqW9+aAgpo9I/sk64NCeQ81jHKX4PpX7gOJn1oGwOKQA4OcHcRm+VUiUcvhPEvdiG+CO1FsV7JDqy5SyoHNfB/wH2b+zDjSO9VPLlx9CSCX4dqHgY+AjW9n/qd5fWU6iilviIG4Rc9IphI6ngBKyUM1B9v8q7gPtkBIr89tImOyX4XtqPvmC7B8lv9lYB9hvwlH6Xgm+Uiim78j+i+SXo8r9tVA3JQ1EA443aslzG0hs9PcfwEk4LRwSiWwmr+resxJS0Eici4PThKxywQVP8g96bDOkczOW/aVmz9jK/vhiz2DZbwcWjaW8qluLxrP8wWuLxlTy4+sXe8aj/IPrgT1jD3zwzp7Bst91rRTKH7ze2SjUPzi0Z0wlP7y+s1Eof/AvXXvGFvjg9c5GoTy62/XQnrGQT0h6fWfPmEl+ct21ZzwBQ+3wzpoxlv3pemihUB9q5/rOnrGU/Pq6a6EoYagd3lkzptCCQ+tEyMQ7a0YdWrBrzeAVsCDvbBMxE4fWjCdowVvbRMxEtk9EfDeBX6wZS+C8CTywZsyB8yZwz5oxAa674Jprtow9dN0F/GDL4DVw3Ybct2YsoE6oN/aJgJ/bkHljl4gKQh3ZMupgJ9Q7u0RUEGrXmjEHvjci84stYyK//fM1D2wZW+iMpNyzZfAaOiMp12wZz9CIojyyZTyBI4r2bRl72R+u+cYiETmws0dEDgztEZEDt/aIyAGuWSNCBx6sEaEDfWtE6EDXGhE7sLNFxA388mBgy3gGz9XTs2U8gefq4Y0lYw+eq4dHlgxegT+4s2XMwato69oyJuBVtPGDJWMLXkUb31syeAldEjXf2DJm0PfjZd5ZMh7hsXYGlgyW/fo48IEtYwGOtcMbO0R0rp2RJWMPr/TOksEryS+Ob2uWjDm80pENIt5o35JRh1fatUEkGH2wQCQY7VsgEox2LRm8Akex5p0lYwZeuSHfWzIe4Yv9uLFksOyXwltLxjN4sR98b8mYgPchj28sGVt44APe2TF4CQ98MLRkPMGX0dazZOxlvxFOg23H4BX41RF5aMmYwUOK9qwPKSlFeWPH4DXy1pIxh4cU7dkeclKK8sbmkNL8hfDW5pDYtDkkNnd2jPoV/PbejsHP8NsbS8YEe2tvSG3aG1Kb9obcprUhtdm3NqQ2u9aG3OaDrSG5aWtIbtYsDcnNkR2jLvvJ0Z0dg+fw1X5wzY7xiFztx9COwWv4bc/OkN7c2DEeke9+cG/H4DX83Q9uLBkz+Lsf8IsdY498X9G+HYNX8PcV7VoypvANk+KRHWOLDGN9Z8fgJTyMNW/sGE/IMNZDO0N2GusbOwY/I4Pt7OwYE2Swnb6NIT/ZTteSMYdvJQ6PLAwFku3c2jF4hXUJsi6UCAka2DG2WJcg60KNkKAH20KRkCA7Bq/hs/VwzY4xR87WM7Rj7JGz9dzYMXiJjSlqx3hCbrlk345Rv0LGFK1ZFqrkFLVjjJExRXuWhSo5RXd2jCnyHXf6dowturAVg5+xhe0Yj8jCN/aEUpNf7BhTbOQDa0KpyVyzYvAzduoEO8YjduoEOwavsGsvsGM8IQvf2THqsh8KC2+sGDxHLt7w3o4xlv1M+PYHdgxeIrc8YmTHmGBniLNj1NfYAG9WDJ5hA7xZEqoleNtYMXiBfckdO8YjtmI7Bq+wFdsxnrAVWxBKGrZi8Bwbx9p+UNOw9aCk4Xs7xiPyZeC7NSsGr5ALBh3aMSbY9X7YMepr5Ho/RlYMnmE3TcqOsQWu90Pshmo5KBqG2rdjjNFuqHaDqmGofTvGBP3+iFaDsmGoAzvGBDsrqR2jvsbOSmrF4Cn2NXntGPUrbLQdKwbPsdF2bAaVs+1YMfgZGW3n1o4xxp52VgxeYHdNymJQOqmoFYNX2KCidowJ+mQjqF8M7BgT9FLarBj1NXbuBCsGT7FzJ9TsAxKFfUCjsA5IFEMrBs+Rpxs7xvYKu3HTVgyeY2fCtmNs0TNhWwZUCsuATGEXkCnsAjqFVUCnsAoIFTYBocKOsUefrBi8wJ7sGGP0ySKgNGzH2F5hX63KisFz9LSklgGR7/UMbAFqhSVArbAEyBV2ALnCDiBXbKwY2yvse+5YMXiuR7/nTlIcUosqO8YUKvLzwrmkHI3CuTwwXrZrLfoUH7mAJhRDUhQVB5kcaCtLfMU6NSodXCAzgqfY005P8vOjJo0TN7xKFByLkJ0ZuECGRB14+q3OvAcF6VGHJj9qlAMsgQvPgN/KmMXwkQKZETzVorfaIyrINVpDrAPLlAmiMpRTlkSAFMiQqK+16K326JD327WEPX2lio9y/7wgBdLBJIsHPSkpjolQkQTi0qXiZuHyyDsvSIFMCV7J06815jnifEFCrJoyr1wcRB6fGbhA5sREi54Ku3XUJu7ni8vGfLaYNTG54pcac1TRBq0hWigetzGzHqFTYWvMUUU7RykmJcQSRMx++fyIGUMoysmEEQeKUYX6Hi906MkTmsKWFKkzEFRbRKkQiGvHvsdhckgkx3DgCiZMO0KwWQxSK4qYQSrEmogppBXIT7JCSC1gjyMcXtySo9L1xtjJE/paUlAQjhfFyHGlICuA1AmlWosC29IKWlCw7VCmXJSkQFNGKRAnORQXS78uKLywDZdIMxIsfqIxRxXNCLvlWvBOtSgvwMRRSUJqsOSilCpoY5G1fARWXhdrSXofT7jTo2OKOriPUKPAUp6WIiQHSy8KXYtQoBwPre2D2mhYHOpIgh9PeNGSU462FHDg0kEu1UaNiKWjM2pUg1WPyifMRvltSsgsAXbjJRFznEqbZ3re9gobbkeLjinqwPHeMmS3WdBWhgQboAeMItWi0D6GatJCjgFwyKHYaCLSjjTT7Yx0pBCrFEKw5osKtJl2qko1WHJUJQrwkIWZuS8CRkaFN+JSPa++xobb0ZI5tJFKIQUrmxa+V8zvKAIHUiAFSy9KeVJqyDEk9dD9kh09j5+w4XYG+nJhHz5dnLQzjrJTLFakGiw9qvKIvxFCyBkkJAxbp+nxSvYLbdkP1YePxcRgW4CINPBbrgaIpkMLVqEoZQmRkMG6GNChbDQGmt5Eg/ZDTcFKJAOrvYR0tp6WulghWIWiUBELlNAuRgTYCKPEFOlGqul2eKchRdDesEAcdweUYJwa1WAVilKWhKQphGwijKF+qNoyh46wzQNt/bzNxGjIxgI/A/1QteV5SRNhmwqo9AIlzdNIFTVP+Y9MtxKOQ73RkAKxMw3YqgCsyzDtkhZp0YJVKAqVeoGAmtnXqETjULVlDi2pGkmRnWY+5YoMgkJdoBCsQlHK4mMnrANb5ZkJ9bW+PC8pMsRn4OdYbdImVDypItVg6VGVAgyZUJs1DQV+QnPQlmOKCu2fU0LvUDiQMiR4b9CGE9GLQtAiACMMCYNvmwq8wnJ40Y+awq4xvHbwO9i5B2IngfbEtQn8HA02l6gWBbkGayIWQ46wkFNPo3oNHgLoJJ6UHX0uDcULYUfPfyDE0AS3blSDVY0K3szrNDy/keUhKoJDbohDYee+ucALLIeRfpwyWYKEk8oVYMbiRlIGasuxhlJVoxpsyVFJW25SgdBNsTxjqMg6lbIHTfmRWOZ76IQkTgRorJFU1ZCDbYrBllMUDnIwpAivw2L8TKaRZzLwDMvhXjvyc1ELDyjJ4UoLGaKAU5RqsGVFFebw2a3xAkUdWBZ6epWyh19oykv+iOmXKRCkuVyzRPgXcYtauRTHsQpqqgZbWlROqkA7x35JhAL5CfCiDY+6kxOGKU2E63bXi/Q93HoaNfmNpNlKXHCiYE8TVdSII5VSholrpS4u63wImh+vsCubeqjgfy1ebQ+/Fc+FbcPgZ+ySPwZWjC3w9EvxIzYMnmJfAeHWilFHh3h7sGHwBBvirVuzYfAC+8i9FWN/hVw0KO9sGDxDP2LFqK+xjwyr9DpZUqHXyJI7K8YeHfvgpTqviSV/1L7Divp5QU4N06i+xs6eMNC4ooIuMY14gp09gXc2DF5g119wa8XYX2HXXzDUuzoJKflGQjNLujWtKyN+zECqr7ArOLyzYfAjdgWH/GDD4AU0rKg4y4axRYcVvbdh8BTtFPSi9YURB0YML7FOQTc1DS05pIDZj9OMAzwOtbtXiMdojozRTkH3GprYF7XREfqk4nGo3b1CPEZzhGfA9AdxlqYWF06Ax0G+e4V4zKZJfY11CurpaWkuweMo5e4Vprl5wo/oNX8M9O/Ybi0MchYFPA61u1eIx2iS8AIbb4d3+nc4UaJOEnGIx6F29woJMRolW2iWoKenpaQ4FO9eISFms4Sf0PF2BjpamxZHaXevsO2ZKLzExtvhneY9aUKDpEGLo7S7V9gwU/aAn4iz9PPHHDGOsu5eoWMzhaf4LO0sI8ZR2t0rNFV4hY23wzs9TvXuFZovY+DpZ+IsPU7h7hUaMjxDh7K+1/r/yEyZOj7rRYdTvXuFulpvXTc1DU717hWaMPyMz9LgFO9eoRlTX+Oz9DfFu1doxvAjOqtb094U716httZe153+vUrQUJXa3SvU1/rrGmnfa6HOVKndvUJ9rcGujeamdPcKNbYGu241N5W7V6izddg10Lzf3q0J3IFC4h0pLO3uFWpmHXbxztPN6SR3r1Aza7GrV6uafy3e7rrEM5PeWzD4ET0zKT9YMPgZPTNpt1Yt116XE2fdVss12PUX8fvyWjB4hl6qLu8sGPUVeqm6NzX7BY8BPxZn9S0YPEO/YBWPLBj1JfoFq7o7+wXvr9BxRXsWDJ7i44reWzB4gQ5+wA8WjC0++EF3Y7/gCT74Qc+Cwc/44Af3Foz6Gs2KH+wXPIay+ou0jP2CZ3hWvZr9gpd4Vn0Lxh7Pikf2C37Cx7Lu7irgOnX1C3kZ+0UdmvU7cbrTtnZ313zzYAT06kpaZqhpbbri/zRGFM/wAXf4Rc/qX0uX5mUANOvq1zr3jwt3LaUXM2pLGHCnp2MNDCt+xE9Nyn0N60a2MaR4jl8fNY+0qwf5ceeZUnXCMrzTrW5lD8YU78Fl9OwKNvLjxjOneAIuo2VX0JcNTSp+BpfRsCuodWXOqKqvCMuMdOya+55RxXuA+4N+XQHwvDGs+Akc5E23rmAkP24904qfCYO89XTpdAOs2Qjoe84v9eo++RG0ZvOK94Rz9vBQi+rJRiYWTwjL8IMG9QI9G1k8hy/BQJteg8GtbGBo1Zf4JRjwTU2bPndrhhbv1/gVtXFPoz4bAr3PcX+UV65Nn80tnhEGFuWhLn02uHgJ9kTVoK1eHfRsdNXXYE9U/bnyG+jZ6OIxtMzv5GmjQZ8NL36Cpj9d681R3hz4bHrxM/gdq/Tm4MAD6Nn8qoMr0Jpn3ap1oWfzi/fwCjRmfvfQqG4mGD9SVsAjfXk5OezMMJ5RVsDaMb9b6NkQ4wVlBV3NOL0Az84Yq6/A0Q/05GjWQBa3nmEwjoFeTUdmwTuDjCfQMr/VkH+T3XShXgOmwRwG/qAf/2C5g3qfmmX8TLkGA77Xjp8ZeoZZnXQCBR5pxkHdnGceTGLgZ9dacRpAWZhn/HgFrVwnNk1y19CXdTPQ+Ik04k53pw/HO+hujDSeg9f9oQ2nIfgZM62+JK38pqYJuwL1PEON62vSyns1LTiPd4bCPMahSQfOu/fMNZ7QVn6rAefd1Ew2npJGeeO+/pv34hltPAfzgybdN895xsJAxn8ErJz7em9et2a6cX0FTX/WelPvWvbgmQsjGf/pXzTeMG8DcIQdA44foWV+fq3tpt01tEYjjifQ9CtdN9VuwDWacTyHpt9ruukO7HxqyvEzmJ+Wmxw45IbhMJU/9ycNN+264Jhu5hzX14D/rt+mGpTXwDPpeA9N//iXa832t90+OKqg8TCYv/8GTd2dVluouzHteAJN//UanHTaQg+eccczaPpneNJnC917Bh7Poel/6LPpDsrLM/IYzO9/67JpAC5k6NX12/RwDS5k6HF9DU3/V4dNrgsuZOzxHprW4MSj87Jw6xl8vL8iT8dloVsz+ngCTct/q7mme3hwDQPiDcnB/0mbfjwDp77GmnbX4AU+mH88h6a5vpo2XbDvaRUAP2uwqdYD11ANUF8ik5ba9XIL9zUzJGbVk5aaHLzFXhXA9RU0TYb6aRpcg+cfrQ7g/RqcRrppGsH/FZsTs6tX00mPXs2gmFeslaZdF74i0IoBnoDDvKGT5nnAazcpRtZDVxOdRGHThUd0Mypm1k4PTbUenGElAT8pTC9a6FFRwHNwqsMTj7TPo++ZFkNrWd/04En7PIyLuVWDp77WGV7nzjMvHo0c3Ly/4oAX8OT1kY5BGudRdVBfqkwbbfMwMYbXAJy6Ox3z6G48I2N6jeDpQcM8dp6ZMb+QjkEa5mFozK8dPPW1y8PUcEA34HRX0ysPY8MB1XpIvjrlYW54oDtdkmOth/znaXB4IO7D00iXPCoXuL7GpiGEeahHHhUMvEenEZKjDnmYHTbokK/mWD16AlvDwwhtesjqNcejsoH36Mpqdxpj9S/YwwwxwQ+WI9/rBCNspHPzwwyNrvXECAhD7OiiAWKE1nt0zw33dppAH3uYIHZoh6z+QQeowY/bmmeE+KHa7TVrhS+OgV+ZgxliiPheK6xid4M8TBE/hK/+ZqcNGmXz0DNG3JCbeIyOgNAdaYJG2ew8c8QQEY4ccP9id4+1YKmW4Pocn7h/ffF3OyScvalqghmenqSdOZf+3603PezvOkaJJZozYRU8uMDXj3UDMktsEaFn0K274Nff97iigmfwVJePW1/qX7mqj52ctrqCJ+C0FKeHC32pWg9rm2+euKNdD1lqcymvA8vSQDFGe2k0ycs72+E1NmJ11QWP1/CgO6Qj2Hx/WfcC4n7Nq77gPTyNgSElL+iT97geun4zxRq5Ce1v3N3hRdsmu4s1jazI4O2SMvHw+jI+kYLDR1eqzOA6PM092lLu5VJdDF1HhQbXF0hnVNpSfH+ZLoauo1KDeY50DAL+KMQyu0AXw9ZhtDikLXGHDw8v2cVczavg4MkVpWMQ1+6vL9YxEIb43lrDxSM9eszyWG8X6bBftTt0ZIuqDh7jHYOkEylcos20X7pom+zqDt7D0xzc93Np/lW8do8vVuXB2yWWL5AZOvOizK374FV8cB2eGJj4/pKcObhGFzNqHPK72kNHHW4uxZmb3jV66r8qEJ4hOYJtqy7DmcMu2u20IoQnV1iO1GbafLe5xOYSGj1WhvAYy1Fh5vDSmzv02Lyxye+irjDzdnNhzcVzM3Cc8rhXmMmDi20uDzyuGuH6HF792FOY2Xu5cJB7dN3svAoS5hm2epWZ9xfRwe8B4T8VQ8csj3MPm3kZDTEK9+XCTyxr6rjlcVnHZl5Sebo+YW6FCe+XyAgIyMwbNM/a5WLUJcytNOH6Al79RGkUZL55uFhaZBPmVp0wwzm6GXZkoncBfag2uCbMNXo8M7+oo+2vLpEPKe91NXxcM79X3F10M7o4PoVfGFBVCm+X6CqU2mnz7e5i+VR34HGFCtef0VUQ8rxELjVzdEM4wFetwjzFVoGP4XKB/D1+d3tNOKlS5Qo/rpGeQYSRKvE8Xv99Tgktsk0i16JR3UT9D9fbl9e8QZfSXMEQcs/EvK68C4nvNq/5TPATwBlD9plYbikDulwEu5FebimNSAwi/0ysH9WbA3P39d3lcXNH2q9qEjloYkbs9PiaP53Cpk/6t24WWWhiUaedEebV3miuNiDtUK2EYX66Qk+MXUIeNy+v5leUPqdVMTyGV+GmHpPyeIUfyRjdkP5+USHD9aXyUrzpv7ZfjG5ImVTLMM/Ul+LdLeWF07VBzaue4UfiUuh54ygvTK5x/5BJFQ3v0aWofwhTXjhcuz28qqjh+hxZ6pH6B3H3NfmizL9MVNcwT5ClZuQmw6QXztbcg8dGk5+zeF/ei+8fW2sjjw0nR2dNvFf0i9rg5prUHtt4snTWs5AZtXuQl+eH3aBL+/doQHk6azX2ynzhNq81G0d9VZ3D9RnIualX5gt2L68xjrylalbZGY663Cq8oOyG4ttX14EPd0t9VbnDW2Sp9VO5xz74ZviK+pPaDW+or6p4mKdXWGZqL15vB5M296S/J4wOr6p6eLxCx0BQeXHox/IqW/XL3TUTm7ibXz5+pdTNVGYy0164wea1tW7uHV6ZWraGBq3Gypc/85pqN7c7NsamDVdkZnnrzM2U//y+5ldSE4YR8W8FO49NLXedLfcnOAzP3H94/TRV4K7beFwdxOMVpT+qaguGV83RpNrolr4FWinE9Xm5M5kfbq+Z1nCu9ko4ckRuUlg1xPy4xmaeZKQyZu5+2rdh2ByaxpEPHVUScf2ZMPM0q2b3KX6oZHRH/PdwHN+gqoj5CZ1Z0hiZtNQbfhrPeDlsbdLXXWXE2wU6s6xznb0GDift7o+/fepQRCaY2531UmJ9oC7Od5+aMzbDHnUb89iIwwxzu3M1Lm1AGYUZn9pzukJThYok5ukVOtpbeW2SyTOGm0+5OSrLVynxfonNfCy15yW5FcPu02wOfXSDiiXm6Ro9f0/J3WGoLbZfPnXaKZDn8N1xxCEDzXCT66dS6wByTtz9FDmg9HB/o7AdWfPYWPP7yNxiX2pN0KfP4N7g7b/azeju+FtV6XtrpFndibfTLnXG3TWrrPYtXiPsBsfdeEot40w1rzuJ7bTLa8SgMoNv+g+1T5X1clc4ZYQ5Z3W2N/e89Uqf0VX5Ue/+bfojdzxqpDqnMor5cU3Ms+zjSWo/eivu3Hs5NIpTnlMtxfUZNnM5PlW7MrWde8PdW22r6vZafU71FPN4ib2Y109yuP/QW1Mx3Q4eNm+hY0bSVpVCu7jjnIoq5ukV9UMnOaCkWHfcDV7eGkeVXoZ3iluE3Bsc28VVWfF2gX/oZDXIsW2z8qJv/nbWbtRX/+WIrcvNO8d9kj50qtX2b65LSLf3wzdyQ+tl2BeOGJWyG8/IW4DP9fSkR2eGh317ZaTu7f3gZfOmbFI9DKA9eOqdZ6uzmPdonqvxiSsX+Eeqh2tuB8OX3RlvUY0Gd71yin8rHjWq2GJ+Qj+02Hp8Lj8qaVvr7pCLO6N2cMf13ZZX24rDb79mNAql1PGrHLg+Rzg3q59BE2hCK4EyGjbwgIcvp9rgci8Pg0MVd1NmMW/F5nuvHYkaF5UpbGWJX158ZhzzeEloqH0OqfYyIGxmlbezj/l+cEgvYqLsrxPSMbJDhOWXrXsnjbf9ihbkhXNZefFpNfYvouZxBptZD4NDXfQWSb3+SDhm9DoUligV4ywvPp1mAYtIeZzTojdvPidvVL2m+AmUhGqok4DJK1Embo2VF585x7xfXCn0DjqT/XvD+9tT+1ef+dcn26Y6HjF67aWoOOXOtvgo98uLz6Rjnqzx3kH18yva5vjR7qn8/89w+VP3djCStqle9bhZuDwqMT6zjutTdOZ6crb9dR4G/dvuebu5HchDLFwCOIjKjM+0Y94+oy9Wj2ddyt3L8Nim+sze9G4HDPRtfX3S1V1Q93FQ2y3Gb0BZay9uOLi/PW3bBnfoy8ovwPZUdcIifKg0mnsTaj2oow9zGd2G+ni/1Ve/IGL2SxNGHJ46PhcxG2Jcn+Iv5mW8OPP9fkgibUO9xh1XGjD7cZpxIMeW5sUxtePDjDBxzoFBhlgIcasQEsdHJccHlLIjlVJuR+6bXMzb+RVl8J23SroEHMNIuNERMhCXz8CB30Kx/2oEBZnBIYRtJEbmcuNTKaXGsYfoIEJLbQ0hLhwgygswcaQmRGJ0scflxkcqZcMMYx6vKC90gzSXkEa7zlMV7RyNMfTKjY9YSkOMeUJ6oRGAqXEcCVSqchoRS4d9VIhj9kTMcVo4sTzlxoeVsiFWuBrHgs4vrJ+0AbAmCoFh2Vq+VBW11SVS+GHnBPERSulamshi8iC41UQrSOGoXAoORq2q4TGyoZSWFx+5lGYZ83b+Fnnxg89899LQ9iQtNCr2O2R4LSW2ceuUHF+Kl5LbWsaNVD77GebvXg6wjR9KTROrCeFKUYikvPjIpYyMM+bxgvBiWtcCkKDaWKC5ig4TtoyCUuOLKDFxrmNsrLKe1i//Nxmys62JaanIEJkQYKnxNWil1DHOpMIXjQTjzhW9lGYa83hJebGtkFlNTCphoFFtoXnGYtKbVMfYXWV/wVM7o0L7XJEbSXR0jOVVFuOLHdZw2ocFxbmSY3IBLCzMNubJgvBiObnwcZvwNj1bQLM4hrWMN+Yx5cXqqX7Ri/GqJnZnLcZPoZAUWsYKK+vZ9oLnd7CTGsTuvHHbIVtzrtAzllhx8/Hl3QUVPXFOKrwIW+7chQ460baLO4Uxx7yfU14sJhf1QDsZ4ZiRc52McyGA7Kxx7NCU6SQLSjRKO5h0SUMmJHFytohT4sw55u10TTmYNOfL+Q2ckhzU9M4dcgEgeewZdcz16eqNWvUrXpBjQw0IYaChpfKLLBKPKuUB1EG0SY83Ea65vcT4gNRoSbsQm4GniewrKpV2VoULPPmNpNlKXPAGbfKxeDWH+sfajs0R281ptNTUPDZ5bM6tJnVNpdFss0c6v5yusc0TDG493+soLewKQKATlOoZK91McksNtXgifvl4/Llp5jGPn69oi7NmEohjHgD77/ysEN6beszb2WHVtNFG9dOTy5vRUZjk0lBv5h5znbhq9/yok6asIKTUM/qYeTynvVjNtqcf9UAb8FuUh/HHvJ0SF18+1U8+tps2SHEHuZE5Da8KgJkfn6+oOekhzI1WR5qTHl5pIZsMESJ2Erp437xZI+1one8ouuzpq5lG6pqqf2x6N8ktn7bVH9udTp9hr2CuPy0v2Rl+XpBTQ+taYo7r9cU6IyroEg1qxZ4UZlR2rN6T4+neVsHM29mKPINnj5ecTkJKvh61/e0kt55P6mpdUC8ZmXb92MavR4UZbvG0Vxlop1Ji6R1XTmXXnqWCuT55FlCHHX3aVmPebP3Nntpq0ZOYVkscQIfSEaWLWRhxUJ3BzOPZSmXG+nmyvcCQb4wh+UYZ+klGuauFeIxVE8y8ny6vVNJq/li/sJBvjCF+owwpl+7OMT3mCgpm3qo1Y3BueTikdLmJC4eICwcI2gWSWj4hZt3lADaUVoo/mo4vM2kuIcUREgbAbvtYzJUXzLw/DACnlhbT8YUztlsLg5xFgRKH36bcKEMmxqzLbD5SSHW1bnHYuXfBDCd6RL0xhqQ4mrQbZRjTYtZSDsLs4sqpH1O6oKTkOAL88teEmblPiVlPOQmzjzPV1TqeT7aXkTYpDuqtK/Q7whMSszZzCcfnxB6qav2FnsaXxUkTGiQNehw54crZY/SrirqG7nIX7/aeD0o4qHTJfMzR4wjlzSc8MDjmag5m5vH036j/aDV/2l8qMjwOZFMqIV1cewjFrK+cydDiqpTNrO1F4gS3kE2HOaah1fN0fFGJMYk2c1BDbnnYvXeh/SPTZm5maF3Gojyb7C8bEWmYBGFVvq5zIyfoVldlLXqx8I9yn9LW29N9ziNeaLa8Km3RSwS3hbeE981qE2bm+nHvXnmLXhpi6Rbno4EE+ssRXfvJvKTNLLeYP40vCNwRZkXYI/UqOyhXllPiZlZJ7be3r9+rBA1LEcE3yrCROfGgUjXHSa+fbV/aUSXn1ovpZP+qvRbqTBF6G/HyjOV4Q69KhMtsu/0knemnnI5D03H99Q2ZsJRHXmUIH/yg/NYMz+Utuj60aBi/1nHUQYINPd3nhk7RPa8PyjqytJg+7l+T396tCd24QsUbZegnwIt27OExaioHdm0fy9zOcm75fPzoazuFiWulLqZdJFvVyEn27104H2XWay5t6qHbUOkftRqU2Y5uMltclfvRQyvusQF3ZBtLC3EHX5mt6Z7GW0Pt2l7wPc0XVyUnPuzjGxtvV3aSbln2R1eL2WGoHtPs5naWxD18pR9dOuzkq5B7Q78wYn38NDsOSXqCnXyTcb3q7Xe/Fm9jSx0/H7e1qukEl55mL9++Yv5Gbil0bKn8lg3zQ5u6uqFc5Eiv8aE13eLqNImFjS3T6FSv7Xg6Aze1yu7BOj+0bdiaSPf9qOXcSsylAk55d2l5dcpcjjv6DKJrfcn3dNLVufWCp27MdSPn/M05x8Kevr1Rc8nmjseXTpuYZ8c6z9g53f2lx+n80KbuPOq8im8X1I6v/XE3HwtOvq/vacz1aquB/vR4h42tGXSE6dRtHCZjrtD6n+A939nk4tzq07PSqwxdsuEkXs6l0psdd/dtjcoit3+NeeoWvJacw7GmZ2GTq17B1fTxhgm+uXX6VnY8Fba5DInzf9x6ms6BOu989vjNhY2urYHwLu55Z1rt7Q2Bd3HPE/b18Vp2Zjv9ZmK9Z5Lo5zF8eOqeCRtcZ9Tk4djmwT0eKj7j4BkccnjEK71z3PHH00MaM+91udfyxDU/7u4787RmcdvraXxI1U+jRLXy5LjJxaBz3/riqROOQDFvq2q+Pj4Nu+utJW9S7fc8deKBKGauWnHyPwoyZp46t+BlGc64OYS8JebEXkmVMEY9dEnV3nGr681Os0rVGzMP2wk7/WYL5jdxmuriRcxPe7vHqXDUaflmWOtGr/DGx1Nxy2t1rtNYN3qUd77J1Ln5OVV92woeB08/8JOw+XWyyo89/ccEp71Y+0mbYMzq7/UpM7sVJh6NkrfEhGbh6+e9pwEZ+PQuBpbAxUxVzL8WL9s4vmvdvPnBZ75r5SzyjlYffWDh+J7jL1g4nPv2+xYO98nXLRzOff8DC4dz3/lChakL6uXKuQ/fry4NtHPBch9/3cLhHH9gybzB0kfvWzGLoOmTD+0ZcB5fsXA4x1/UR77wAS0dfYvNffo+iVYae+fDokqRPvmWBYOUxxftF6RsrRsfvW+1fIz+QRsGOsabZeOTw0jWtgz4fD3WDOispBYN+doLbBuHTGwbfMjEsvHxBx7bM4DBQ20a0ikS7BriqDqWjePprm0bX7FyvkrVO//hP2jO9w7pi56Nk975D//RZ977/HvWjc//PfPnbRv/4uCrNo6vvfMf/mPV86NAzoAQEYeWiqxwgpZzEDkSF78Jwuq9sHDpUVC4FqUSdMn5i/KiE1btpYWLjpLCxUoazvHpEYvQKZxrVe3lRUeqcnJPSXFIp0csgjvIK/ZiqTZrHFb9hsoO0oq9rHCBtOrwDeW3stRV58GNFfzCtb03SqV/Rc3CxdLSifUiiMTUKZycQSNiv3QRszo/4qBsIb3fa8RBtVte0FKLqpExH7GQYqkOS9pCrJwAFWSUccsdAsrYSRVqsyM0hDseJEoP0RCKIAULVWFxCykMFFcslrIVVbgVRBlVRgquAVWW3JAkhXNRmAOxJTkYmnPO0YqQgJtwUQcqTAwWJgnbQECpX9mWCOnw8w6cQVSiFAklAWulnBpbVIoYCSqFpDlcH1e8F0kOS8OdgpgqJuyFS4qDThJ5kRM2iGJADtZhQnBp0mwfMziiFyEBH52mGKhzTZm4nsSJuwddUu3WKZwPdQoq82OhvPUjb0TlPlQr5c3k2L4gAnfLRdL+OMIisCAXdg6CgUaQVgDtImS/yi2CRxItV8s5x0gUTUDbh4LOQyk0v60KqDIDONCOCC5kQ9iWq3JLCxfJnYLKFRQHAcNh5IAQjC2GYlMlRxZhgTZkATYuT4WbL48kmhfslUiqfVpofKGkDcbWgatVRXLQaKBNtJBSGFlFWzNjbheuk4kZ5FJXH1VwLZQlUGJwQyiBaypQQ12KNkhowI23IdFRtbw/UFkyUsiJDI4ZFKoT60usTsur5XKi5rlpgPxyRChXLcfMTakuSsCmZ2VpOefSCEseqoX+I1JEDjSrnMsLBjoFlS0htVYDkJs2JOUs0sJqYteqmmsUrgl0CipbJPQDVRUVDunX2lEXYoH6+UFcNdcqXCh3CiqND9dbTfB8og0QHFsb3FbC+JT6sSNWYshYChVzQeHaQKeg0iRCwMIobGBEQbtwLR8jx9by4YfDi4BowIGmYnDVJ8ZlEi2HcP6ctJFkRSJ/mBvH6kocshqqtZCoXd6M+DjkqIhQBCTYFhpo26uQQxortAsXlCOCzqATCGO1ISn2cHhsyRGlCBBCYdivQrEtk2jmlYNTGPstUI7MhqYMksKNFVIq9ptwd1jfq5pLoFMSNBS0HNykIe6IlZa0MdbI5Poq8T2ZWAo8VNdpCJ1eM0IR8GCjljy34VELExzib1WJ3rx+U4hd1kfQSJyLQ9VQ3SGxehEIhQmsnO+1885/+M87/+E/7/yH/+A/+A/+g//gP5TOXz8Ppy8ffAOJ5K9WyvTNv1dL37RTnj6v6G8slVlfU+I8S8V7Sj5nrzSPU/Ali2Ul/5LM/dViyeFvyf7Os1nSN1SzsGly+Lxnt6SvknzVs1y8R/rIe/bLOKIEzoIZVfSbCllYNDk4z4ZJX0N8w7NifA7Nwo5JXwY5D2HFDPHmgCwsmhycZ88kOYdv/tWi8Td4FhZNDs6zarwnnfXarklfgrOwaHJwf7Vt8N/JWdg1H2EbJ73zH/7zzn/4zzv//VlHECcZczOJ7BmNrJBTnobnKHwjhNVqflYgKfXPTZQXnZDgLMtWpX60CywBlUYjcXwWOoVzrbMqCVQEtGwVasKjkwTCKjPxQ6JjCGfh/EoCFQEtW3VaLOzDg/aMtQ+yM5MdC3am0LJVp7WOr+H9e2mR+WfGb2WpO1No2arTioMEb3N2hhUTnyssVauhvYDsGM1ShVFIFXFwKhGz+i7BiAMl5f4eIvYrwp/MfVKvVOYjFlIst3FouWNqJ0CgUcat4BBQW+y/CldaSGjkkvhJm1YSdwgoYycImh2xTIfI0mMwhCLIZSP8HlwrggWJUILOsYzNjJPqLifUIzEO65bKYiXUgQZHiMGwEx+KsuUTS5ZQS9LIoZI0wDCjMJdjS3IoMnGTilAEoGxyAGEb709LLEGFtwdqLg2w0/CVxdjYCJAm3ImV/TKlSCgJGGZeHOGhRWVJc7xOJRSyUfE9BBXmQC2VRIAY22cGPDrNRKrZmvLGmVRVJvK+OSJCSeSYO4fCRuKethiQO0kiFjYVC9sREIqAkLfyEtfsIDWo/GtzbblgVd4fS7u/5NWSWwYEObTXLRIijSB5DJYgoSGVJHRgv9FUOJQFlqSZRIEXiYUCC+sc5ZdC0QqkXXhAaaIC+rUFcgkqvSmG98h1Ghi4Lgrg8eA60CGoEBknzi9LyznHSBRNAbhbMMMKVRK4NA1ho41SgqwCjNmPU6hNApMEYr8hJIyGLMGOSCWKkNADpCQ5IIRCi6HClifABuChlMBH3lR6c0pacgMCikQ8OoRsbDUlHTCe5rGlgCI4nBbaUCIES0gqVFqWFhZPRv71uMrw4KLixwOCFN1qaoB1SFMiH6vJS5IeI0+gdNTAwkzRQjXKkoC/BkkT//VUibGfCk8EQkWEV2mUqoX9Yx1SksxRUoLJ0EKFp0IqQVAJhh1eyYgifPOEhM9PA65Hq+r4uIo2AI4mQWUkER2xJGmEJU9GLuwJpfivp+Ir9EXIsZ0SGhk0j3GQmjMkZS5COpsbgFrY5FTkX091eJFm0fYJ44u2CEKh0TO22w8YuSDCLn6gqQg5CuUrirDCcueEQuHXUxVeUeacawcyeTwdBvhwNZMBUqGekkiVJdSZR5FPrRX9VgMEhtYGN4lQflnkEnR8aJy3yi+XJ1hdlfsiudoImLkBj08tNacTwFNSCO9pKCWJpSiAwW9aPi4WCys/RHgRStJwUJ3up0W1VyAPYB1HzNKwnq4BtRpwaSPJikSOIm8C0bU9CRCPdLKegIZWEnFI0GMhA3HI6oBQWWVwYSWEIqgDN6haSRQDA1xXiS+fzcVgPSHVZAEhQPYBGRJQRDwoRC0JXl4UHloioBShHJxRSlDhTUmO4AZ0pAjGfhOU+WA9FoNRRx4RtSQtrLwU7GeQFBs1oXTcBB9c4YWchVo+EzVl3J00kCqOlhxdA6vHwqxw8sEooga5JI2sACJGw4QihUbWzguXUX4pcrCkqIMcbN4dSOtJQ09W7Z0RJcdEuTKOELsID9dInIsDyqZTECeO+n0RSipJqDrO6SFxCUUor9BV7QvTQb0tu9qyh+3o69gu/LRT5Oivq2W9EBoroIM2WC9v0uMUw02+c996EYiXRxVHh480hRganv2ySJQX+PW/2TAf68D9XavbC0mXJR2+PS8oITuQr4baokkRNyJ2no2T3vkP/3nnP/znnf/wH/wH/8F/8B/8B//Bf/Af/Af/wX/wH/wH/8F/8B/8B//Bf/Af/Af/wX/wH/wH/8F/8B/8B//Bf/Af/Af/wX/wH/wH/8F/8B/8B//Bf/Af/KcqjwEA)

The technique is called “early stopping” because training stops when the validation
                error swings back upward for a given number of iterations. The weights and biases to
                be used are those at the low point on the validation error curve.

Although the error on the test set is not used during the training, it can be useful
                as a control on different models and for plotting during the process of training.
                That way, if there is a significant discrepancy between the low point on the error
                curve for the test set and the low point for the validation set, it’s a strong hint
                that the dataset is poorly divided.

## Data augmentation

Data augmentation, or simply using more data for training, can be performed by
                obtaining more training samples or by augmenting the existing data through clever
                manipulation.

When data is scarce, it is not always easy for data scientists to obtain more
                training samples, so augmenting data through manipulation is often the path to
                pursue. With vision-based data, possible manipulations include the following:

- Changing the colors of the images used to train
- Changing the size of the images
- Flipping the images and using them as surplus to the existing set

Deep neural networks treat each additional image as an individual case, leading to
                greater insight/features and improved generalization capabilities.

## Optimization

As described above, hyperparameters like learning rate and dropout are modified
                iteratively during the many passes of the model training process. Each pass contains
                multiple sub-runs for cross-validation; for example, K-fold cross-validation.
                Through optimization, the hyperparameters are adjusted after each training run for
                the best outcome based on the scoring metric. This iterative process is also
                referred to as model tuning.

Each aspect of machine learning is continuously evolving, with new optimization
                techniques around different applications and models. The following are typical
                approaches for model tuning in machine learning:

**1. Grid search optimization**

This is a brute-force approach through a predetermined list of possible combinations.
                All of the possible values of hyperparameters are listed and looped through in an
                iterative fashion to obtain the best values.

Grid search takes less time to program and works well if the dimensionality in the
                feature-vector is low. But as the number of dimensions increases, it takes a long
                time and becomes cumbersome.

**2. Random search optimization**

Random search is an improvement on grid search. Instead of an exhaustive search
                through every combination of hyperparameters, this is a random sample of values. It
                includes samples from non-uniform probability distributions for continuously valued
                hyperparameters.

Random search has been proved to produce better results in less time than grid
                search. In addition, random search allows for a tuning budget to be set independent
                of the size of your problem (e.g., number of hyperparameters). In other words, the
                user may set the desired number of iterations and stop at any time.

**3. Gradient search**

A main drawback of grid search and random search is that they ignore the results
                obtained after a combination is checked. Worse yet, they don’t use the previous
                search results when indicating where to look next.

A gradient search, on the other hand, pays attention to recent results. If, for
                instance, the goal is to minimize error, a gradient search will try to move further
                downhill. Should the search go undesirably far, algorithms like conjugate gradient
                search allow for backing up and changing direction at right angles when one line
                plays out. Another major concern is getting stuck in local minima while looking for
                the elusive global minimum.

**Parent Topic:** [Developing Apps with the Qualcomm Neural Processing SDK for AI](https://docs.qualcomm.com/doc/80-63442-4/topic/developing-apps-qualcomm-neural-processing-sdk.html)

Last Published: Jun 24, 2024

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