diff --git a/nbs/02_trait.ipynb b/nbs/02_trait.ipynb index 3ac32a1..2684f31 100644 --- a/nbs/02_trait.ipynb +++ b/nbs/02_trait.ipynb @@ -149,36 +149,40 @@ "source": [ "import torch\n", "\n", - "ploidy=2\n", - "n_chr=10\n", - "n_loci=1000\n", - "g = Genome(ploidy,n_chr,n_loci)\n", + "ploidy = 2\n", + "n_chr = 10\n", + "n_loci = 100\n", + "n_Ind = 333\n", + "g = Genome(ploidy, n_chr, n_loci)\n", "population = Population()\n", - "population.create_random_founder_population(g, n_founders=50)\n", - "init_pop = population.get_dosages().float() #gets allele dosage for calculating trait values\n", + "population.create_random_founder_population(g, n_founders=n_Ind)\n", + "init_pop = population.get_dosages().float() # gets allele dosage for calculating trait values\n", "\n", - "#Trait A Class\n", - "target_means = torch.tensor([0,5,20])\n", - "target_vars = torch.tensor([1,2,5])\n", + "# Trait A Class\n", + "target_means = torch.tensor([0, 5, 20])\n", + "target_vars = torch.tensor([1, 1, 0.5]) # Note: I'm assuming you want a variance of 1 for the second trait\n", "n_traits = target_means.shape[0]\n", "correlation_values = [\n", " [1.0, 0.2, 0.58],\n", - " [.2, 1.0, -0.37],\n", - " [0.58, -0.37, 1.0]\n", + " [0.2, 1.0, -0.37],\n", + " [0.58, -0.37, 1.0],\n", "]\n", "\n", "corA = torch.tensor(correlation_values)\n", "L = torch.linalg.cholesky(corA)\n", "\n", "# Sample initial additive effects from a standard normal distribution\n", - "correlated_effects = torch.randn(n_chr, n_loci, n_traits)\n", + "uncorrelated_effects = torch.randn(n_chr, n_loci, n_traits)\n", "\n", "# Reshape for proper multiplication with Cholesky factor\n", - "correlated_effects = correlated_effects.reshape(n_chr * n_loci, n_traits)\n", - "correlated_effects = torch.matmul(L, correlated_effects.T).T\n", + "uncorrelated_effects = uncorrelated_effects.reshape(n_chr * n_loci, n_traits)\n", + "\n", + "# Introduce correlation FIRST\n", + "correlated_effects = torch.matmul(L, uncorrelated_effects.T).T\n", "correlated_effects = correlated_effects.reshape(n_chr, n_loci, n_traits)\n", "\n", - "unscaled_bvs = torch.einsum('ijk,lij->lk', correlated_effects, init_pop) \n", + "# Calculate unscaled breeding values using CORRELATED effects\n", + "unscaled_bvs = torch.einsum('ijk,lij->lk', correlated_effects, init_pop)\n", "unscaled_var = unscaled_bvs.var(dim=0)\n", "unscaled_mean = unscaled_bvs.mean(dim=0)\n", "trait_intercepts = []\n", @@ -186,47 +190,66 @@ "# Scale correlated effects and calculate intercepts\n", "for i in range(n_traits):\n", " scaling_factor = torch.sqrt(target_vars[i] / unscaled_var[i])\n", - " correlated_effects[:, :, i] *= scaling_factor\n", + " correlated_effects[:, :, i] *= scaling_factor # Scale the CORRELATED effects\n", " trait_intercepts.append(target_means[i] - (unscaled_mean[i] * scaling_factor))\n", "\n", - "trait_intercepts = torch.tensor(trait_intercepts)" + "# Now we have the additive marker effects and intercepts to calculate breeding values\n", + "trait_intercepts = torch.tensor(trait_intercepts)\n", + "scaled_bvs = torch.einsum('ijk,lij->lk', correlated_effects, init_pop)" ] }, { "cell_type": "code", "execution_count": null, - "id": "131ee8c6", + "id": "61a8e31e", "metadata": {}, "outputs": [ { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": null, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" + "name": "stdout", + "output_type": "stream", + "text": [ + "torch.Size([10, 100, 3])\n", + "torch.Size([3])\n", + "torch.Size([333, 3])\n" + ] } ], "source": [ - "plt.scatter(correlated_effects[:,:,0],correlated_effects[:,:,2])" + "print(correlated_effects.shape)\n", + "print(trait_intercepts.shape)\n", + "print(scaled_bvs.shape)" ] }, { "cell_type": "code", "execution_count": null, - "id": "c6a5e8fe", + "id": "cae0064b", + "metadata": {}, + "outputs": [], + "source": [ + "class TraitA(nn.Module):\n", + " def __init__(self, marker_fx, intercept):\n", + " super(TraitA, self).__init__()\n", + " self.marker_fx = marker_fx\n", + " self.intercept = intercept\n", + " \n", + " #calculate the breeding value for the trait and population\n", + " def forward(self, dosages):\n", + " return torch.einsum('ijk,lij->lk', correlated_effects, init_pop)\n", + " \n", + "ta = TraitA(scaled_bvs[0], trait_intercepts[0])\n", + "tb = TraitA(scaled_bvs[1], trait_intercepts[1])\n", + "tc = TraitA(scaled_bvs[2], trait_intercepts[2])\n", + "\n", + "ta_values = ta(init_pop)\n", + "tb_values = tb(init_pop)\n", + "tc_values = tc(init_pop)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "131ee8c6", "metadata": {}, "outputs": [ { @@ -241,7 +264,7 @@ }, { "data": { - "image/png": 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", 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", 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" ] @@ -251,23 +274,13 @@ } ], "source": [ - "plt.scatter(correlated_effects[:,:,1],correlated_effects[:,:,2])" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "7ea8a408", - "metadata": {}, - "outputs": [], - "source": [ - "scaled_bvs = torch.einsum('ijk,lij->lk', correlated_effects, init_pop)" + "plt.scatter(correlated_effects[:,:,0],correlated_effects[:,:,2])" ] }, { "cell_type": "code", "execution_count": null, - "id": "48b81636", + "id": "c6a5e8fe", "metadata": {}, "outputs": [ { @@ -282,7 +295,7 @@ }, { "data": { - "image/png": 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", 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", 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" ] @@ -292,7 +305,7 @@ } ], "source": [ - "plt.scatter(scaled_bvs[:,0],scaled_bvs[:,2])" + "plt.scatter(correlated_effects[:,:,1],correlated_effects[:,:,2])" ] }, {